- FindStat

Identifier

Mp00056: Parking functions —to Dyck path⟶ Dyck paths
Mp00142: Dyck paths —promotion⟶ Dyck paths
Mp00027: Dyck paths —to partition⟶ Integer partitions
St001604: Integer partitions ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 17990 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

[4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 12

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 12

[1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 9

[1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

[4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 38

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

[5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

[5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

[4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

[4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 9

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

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

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

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

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

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

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

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

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

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

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

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

[1,3,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 3

[3,1,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 3

[1,1,1,1,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 4

[1,1,1,1,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 4

[1,1,1,4,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 4

[1,1,4,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 4

[1,4,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 4

[4,1,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 4

[1,1,1,1,1,5] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 7

[1,1,1,1,5,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 7

[1,1,1,5,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 7

[1,1,5,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 7

[1,5,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 7

[5,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 7

[1,1,1,1,2,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,1,1,2,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,1,1,2,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,1,2,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,1,2,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,1,2,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,2,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,2,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,2,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,2,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[2,1,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[2,1,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[2,1,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[2,1,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[2,2,1,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 0

[1,1,1,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,1,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,1,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,1,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,1,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,1,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,2,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,2,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,2,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,3,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,3,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,3,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,2,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,2,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,2,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,2,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,3,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,3,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,3,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,3,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[2,1,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[2,1,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[2,1,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[2,1,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[2,3,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[3,1,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[3,1,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[3,1,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[3,1,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[3,2,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 4

[1,1,1,1,2,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,1,1,4,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,1,2,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,1,2,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,1,4,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,1,4,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,2,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,2,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,2,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,4,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,4,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,4,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,2,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,2,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,2,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,2,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,4,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,4,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,4,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,4,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[2,1,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[2,1,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[2,1,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[2,1,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[2,4,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[4,1,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[4,1,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[4,1,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[4,1,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[4,2,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 9

[1,1,1,1,2,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,1,1,5,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,1,2,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,1,2,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,1,5,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,1,5,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,2,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,2,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,2,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,5,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,5,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,5,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,2,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,2,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,2,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,2,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,5,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,5,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,5,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,5,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[2,1,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[2,1,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[2,1,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[2,1,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[2,5,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[5,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[5,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[5,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[5,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[5,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 22

[1,1,1,1,3,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,1,1,3,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,1,1,3,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,1,3,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,1,3,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,1,3,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,3,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,3,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,3,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,3,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[3,1,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[3,1,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[3,1,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[3,1,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[3,3,1,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11

[1,1,1,1,3,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,1,1,4,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,1,3,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,1,3,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,1,4,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,1,4,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,3,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,3,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,3,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,4,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,4,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,4,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,3,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,3,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,3,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,3,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,4,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,4,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,4,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,4,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[3,1,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[3,1,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[3,1,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[3,1,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[3,4,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[4,1,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[4,1,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[4,1,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[4,1,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[4,3,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 29

[1,1,1,1,3,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,1,1,5,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,1,3,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,1,3,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,1,5,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,1,5,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,3,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,3,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,3,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,5,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,5,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,5,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,3,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,3,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,3,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,3,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,5,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,5,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,5,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,5,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[3,1,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[3,1,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[3,1,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[3,1,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[3,5,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[5,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[5,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[5,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[5,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[5,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 80

[1,1,1,1,4,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,1,1,4,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,1,1,4,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,1,4,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,1,4,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,1,4,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,4,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,4,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,4,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,4,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[4,1,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[4,1,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[4,1,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[4,1,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[4,4,1,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 30

[1,1,1,1,4,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,1,1,5,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,1,4,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,1,4,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,1,5,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,1,5,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,4,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,4,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,4,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,5,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,5,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,5,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,4,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,4,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,4,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,4,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,5,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,5,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,5,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,5,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[4,1,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[4,1,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[4,1,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[4,1,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[4,5,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[5,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[5,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[5,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[5,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[5,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 146

[1,1,1,1,4,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,1,1,6,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,1,4,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,1,4,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,1,6,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,1,6,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,4,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,4,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,4,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,6,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,6,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,6,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,4,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,4,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,4,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,4,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,6,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,6,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,6,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,6,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[4,1,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[4,1,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[4,1,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[4,1,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[4,6,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[6,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[6,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[6,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[6,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[6,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1

[1,1,1,1,5,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,1,1,5,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,1,1,5,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,1,5,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,1,5,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,1,5,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,5,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,5,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,5,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,5,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[5,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[5,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[5,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[5,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[5,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1

[1,1,1,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,1,1,6,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,1,5,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,1,5,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,1,6,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,1,6,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,5,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,5,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,5,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,6,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,6,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,6,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,5,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,5,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,5,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,5,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,6,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,6,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,6,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,6,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[5,1,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[5,1,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[5,1,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[5,1,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[5,6,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[6,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[6,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[6,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[6,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[6,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1

[1,1,1,2,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,1,2,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,1,2,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,1,2,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,1,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,1,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,1,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,2,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,1,1,2,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,1,2,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,1,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,2,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,2,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,2,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,2,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,2,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,2,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,3,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,3,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,3,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,2,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,3,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,3,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,3,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,3,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,3,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,3,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,1,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,2,1,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,2,1,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,2,1,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,2,3,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,3,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,3,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,3,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[2,3,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,1,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,1,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,1,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,1,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,1,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,1,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,2,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,2,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,2,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[3,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 6

[1,1,1,2,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,1,2,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,1,4,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,2,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,2,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,2,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,2,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,2,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,2,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,4,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,4,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,4,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,2,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,4,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,4,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,4,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,4,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,4,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,4,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,1,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,2,1,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,2,1,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,2,1,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,2,4,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,4,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,4,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,4,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[2,4,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,1,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,1,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,1,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,1,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,1,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,1,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,2,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,2,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,2,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[4,2,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 22

[1,1,1,2,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,1,2,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,1,5,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,2,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,2,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,2,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,2,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,2,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,2,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,5,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,5,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,5,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,2,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,5,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,5,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,5,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,5,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,5,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,5,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,1,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,2,1,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,2,1,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,2,1,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,2,5,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,5,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,5,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,5,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[2,5,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[5,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 60

[1,1,1,2,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,1,3,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,1,3,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,2,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,2,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,2,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,3,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,3,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,3,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,3,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,3,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,3,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,2,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,2,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,2,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,2,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,2,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,2,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,3,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,1,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,1,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,1,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,1,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,1,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,1,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,3,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,3,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,3,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[2,3,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,1,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,2,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,2,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,2,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,2,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,3,1,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,3,1,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,3,1,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[3,3,2,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 26

[1,1,1,2,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,1,2,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,1,3,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,1,3,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,1,4,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,1,4,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,2,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,2,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,2,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,2,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,2,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,2,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,3,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,3,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,3,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,3,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,3,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,3,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,4,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,4,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,4,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,4,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,4,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,4,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,2,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,3,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,4,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,1,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,3,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,3,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,3,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,3,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,4,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,4,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,4,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[2,4,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,1,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,2,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,2,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,2,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,2,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,4,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,4,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,4,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[3,4,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,1,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,2,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,2,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,2,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,2,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,3,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,3,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,3,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[4,3,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 105

[1,1,1,2,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,1,2,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,1,3,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,1,3,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,1,5,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,1,5,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,2,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,2,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,2,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,2,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,2,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,2,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,3,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,3,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,3,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,3,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,3,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,3,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,5,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,5,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,5,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,5,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,5,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,5,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,2,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,3,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,5,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,1,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,3,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,3,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,3,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,3,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,5,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,5,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,5,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[2,5,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,1,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,2,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,2,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,2,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,2,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,5,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,5,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,5,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[3,5,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[5,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 327

[1,1,1,2,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,1,2,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,1,3,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,1,3,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,1,6,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,1,6,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,2,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,2,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,2,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,2,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,2,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,2,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,3,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,3,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,3,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,3,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,3,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,3,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,6,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,6,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,6,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,6,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,6,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,6,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,2,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,3,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,6,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,1,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,3,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,3,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,3,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,3,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,6,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,6,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,6,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[2,6,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,1,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,2,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,2,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,2,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,2,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,6,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,6,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,6,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[3,6,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[6,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 0

[1,1,1,2,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,1,4,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,1,4,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,2,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,2,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,2,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,4,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,4,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,4,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,4,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,4,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,4,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,2,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,2,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,2,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,2,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,2,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,2,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,4,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,1,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,1,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,1,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,1,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,1,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,1,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,4,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,4,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,4,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[2,4,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,1,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,2,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,2,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,2,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,2,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,4,1,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,4,1,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,4,1,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[4,4,2,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 169

[1,1,1,2,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,1,2,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,1,4,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,1,4,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,1,5,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,1,5,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,2,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,2,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,2,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,2,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,2,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,2,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,4,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,4,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,4,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,4,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,4,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,4,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,5,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,5,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,5,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,5,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,5,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,5,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,2,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,4,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,5,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,1,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,4,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,4,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,4,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,4,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,5,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,5,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,5,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[2,5,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,1,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,2,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,2,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,2,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,2,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,5,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,5,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,5,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[4,5,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[5,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 810

[1,1,1,2,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,1,2,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,1,4,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,1,4,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,1,6,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,1,6,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,2,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,2,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,2,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,2,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,2,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,2,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,4,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,4,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,4,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,4,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,4,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,4,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,6,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,6,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,6,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,6,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,6,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,6,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,2,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,4,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,6,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,1,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,4,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,4,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,4,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,4,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,6,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,6,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,6,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[2,6,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,1,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,2,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,2,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,2,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,2,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,6,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,6,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,6,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[4,6,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[6,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 0

[1,1,1,2,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,1,5,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,1,5,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,2,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,2,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,2,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,5,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,5,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,5,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,5,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,5,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,5,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,2,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,2,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,2,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,2,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,2,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,2,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,5,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,1,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,1,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,1,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,1,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,1,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,1,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,5,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,5,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,5,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[2,5,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[5,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 0

[1,1,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,1,2,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,1,5,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,1,5,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,1,6,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,1,6,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,2,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,2,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,2,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,2,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,2,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,5,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,5,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,5,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,5,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,5,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,5,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,6,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,6,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,6,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,6,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,6,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,6,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,2,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,5,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,6,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,1,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,5,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,5,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,5,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,5,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,6,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,6,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,6,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[2,6,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,1,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,2,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,2,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,2,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,2,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,6,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,6,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,6,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[5,6,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[6,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 0

[1,1,1,3,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,1,3,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,1,3,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,1,3,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,3,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,3,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,3,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,3,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,3,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,3,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,1,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,1,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,1,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,1,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,1,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,1,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,3,1,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,3,1,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,3,1,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[3,3,3,1,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 40

[1,1,1,3,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,1,3,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,1,4,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,3,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,3,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,3,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,3,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,3,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,3,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,4,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,4,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,4,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,3,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,4,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,4,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,4,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,4,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,4,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,4,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,1,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,3,1,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,3,1,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,3,1,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,3,4,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,4,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,4,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,4,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[3,4,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,1,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,1,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,1,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,1,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,1,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,1,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,3,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,3,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,3,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[4,3,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 187

[1,1,1,3,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,1,3,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,1,5,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,3,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,3,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,3,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,3,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,3,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,3,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,5,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,5,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,5,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,3,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,5,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,5,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,5,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,5,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,5,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,5,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,1,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,3,1,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,3,1,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,3,1,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,3,5,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,5,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,5,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,5,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[3,5,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[5,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 656

[1,1,1,3,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,1,3,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,1,6,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,3,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,3,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,3,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,3,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,3,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,3,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,6,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,6,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,6,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,3,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,1,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,3,1,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,3,1,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,3,1,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,3,6,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,6,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,6,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,6,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[3,6,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,1,1,3,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,1,4,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,1,4,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,3,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,3,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,3,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,4,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,4,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,4,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,4,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,4,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,4,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,3,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,3,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,3,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,3,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,3,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,3,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,4,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,1,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,1,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,1,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,1,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,1,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,1,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,4,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,4,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,4,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[3,4,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,1,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,3,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,3,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,3,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,3,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,4,1,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,4,1,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,4,1,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[4,4,3,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 423

[1,1,1,3,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,1,3,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,1,4,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,1,4,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,1,5,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,1,5,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,3,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,3,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,3,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,3,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,3,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,3,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,4,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,4,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,4,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,4,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,4,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,4,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,5,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,5,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,5,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,5,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,5,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,5,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,3,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,4,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,5,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,1,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,4,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,4,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,4,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,4,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,5,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,5,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,5,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[3,5,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,1,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,3,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,3,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,3,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,3,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,5,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,5,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,5,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[4,5,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[5,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 2288

[1,1,1,3,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,1,3,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,1,4,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,1,4,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,1,6,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,1,6,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,3,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,3,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,3,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,3,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,3,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,3,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,4,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,4,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,4,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,4,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,4,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,4,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,6,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,6,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,6,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,6,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,6,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,6,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,3,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,4,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,6,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,1,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,4,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,4,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,4,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,4,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,6,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,6,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,6,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[3,6,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,1,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,3,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,3,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,3,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,3,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,6,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,6,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,6,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[4,6,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[6,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1

[1,1,1,3,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,1,5,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,1,5,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,3,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,3,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,3,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,5,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,5,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,5,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,5,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,5,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,5,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,3,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,3,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,3,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,3,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,3,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,3,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,5,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,1,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,1,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,1,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,1,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,1,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,1,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,5,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,5,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,5,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[3,5,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[5,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 2

[1,1,1,3,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,1,3,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,1,5,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,1,5,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,1,6,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,1,6,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,3,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,3,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,3,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,3,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,3,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,3,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,5,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,5,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,5,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,5,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,5,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,5,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,6,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,6,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,6,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,6,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,6,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,6,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,3,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,5,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,6,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,1,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,5,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,5,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,5,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,5,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,6,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,6,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,6,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[3,6,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,1,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,3,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,3,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,3,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,3,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,6,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,6,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,6,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[5,6,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[6,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 2

[1,1,1,4,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,1,4,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,1,4,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,1,4,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,4,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,4,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,4,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,4,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,4,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,4,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,1,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,1,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,1,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,1,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,1,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,1,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,4,1,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,4,1,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,4,1,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[4,4,4,1,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 3

[1,1,1,4,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,1,4,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,1,5,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,4,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,4,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,4,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,4,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,4,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,4,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,5,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,5,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,5,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,4,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,5,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,5,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,5,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,5,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,5,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,5,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,1,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,4,1,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,4,1,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,4,1,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,4,5,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,5,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,5,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,5,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[4,5,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[5,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 3

[1,1,1,4,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,4,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,6,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,4,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,4,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,4,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,4,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,4,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,4,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,6,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,6,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,6,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,4,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,1,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,4,1,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,4,1,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,4,1,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,4,6,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,6,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,6,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,6,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[4,6,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,4,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,1,5,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,1,5,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,4,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,4,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,4,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,5,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,5,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,5,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,5,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,5,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,5,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,4,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,4,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,4,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,4,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,4,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,4,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,5,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,1,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,1,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,1,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,1,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,1,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,1,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,5,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,5,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,5,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[4,5,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[5,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1

[1,1,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,1,4,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,1,5,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,1,5,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,1,6,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,1,6,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,4,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,4,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,4,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,4,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,4,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,4,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,5,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,5,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,5,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,5,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,5,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,5,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,6,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,6,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,6,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,6,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,6,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,6,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,4,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,5,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,6,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,1,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,5,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,5,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,5,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,5,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,6,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,6,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,6,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[4,6,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,1,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,4,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,4,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,4,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,4,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,6,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,6,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,6,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[5,6,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[6,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1

[1,1,2,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[1,2,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[1,2,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[1,2,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[1,2,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,1,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,1,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,1,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,1,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,2,1,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,2,1,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,2,1,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,2,2,1,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,2,2,1,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[2,2,2,2,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 3

[1,1,2,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,1,2,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,1,2,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,1,3,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,2,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,3,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,3,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,3,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,3,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,1,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,1,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,1,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,1,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,1,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,1,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,1,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,2,1,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,2,1,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,2,3,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,3,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,3,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,2,3,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,3,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,3,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,3,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,3,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,3,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[2,3,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,1,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,1,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,1,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,1,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,2,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,2,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,2,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,2,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,2,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[3,2,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 14

[1,1,2,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,1,2,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,1,2,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,1,4,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,2,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,4,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,4,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,4,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,4,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,1,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,1,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,1,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,1,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,1,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,1,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,1,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,2,1,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,2,1,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,2,4,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,4,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,4,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,2,4,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,4,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,4,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,4,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,4,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,4,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[2,4,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,1,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,1,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,1,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,1,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,2,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,2,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,2,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,2,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,2,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[4,2,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 55

[1,1,2,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,1,2,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,1,2,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,1,5,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,2,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,5,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,5,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,5,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,5,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,1,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,1,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,1,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,1,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,1,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,1,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,1,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,2,1,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,2,1,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,2,5,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,5,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,5,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,2,5,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,5,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,5,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,5,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,5,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,5,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[2,5,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[5,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 146

[1,1,2,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,1,2,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,1,2,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,1,6,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,2,1,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,2,1,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,2,6,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,1,2,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,1,2,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,1,2,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,1,3,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,1,3,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,1,3,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,2,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,3,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,1,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,2,1,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,2,1,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,2,1,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,2,3,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,2,3,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,2,3,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[2,3,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,1,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,2,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,3,1,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,3,1,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,3,1,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,3,2,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,3,2,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[3,3,2,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 40

[1,1,2,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,2,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,2,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,2,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,2,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,2,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,3,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,3,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,3,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,4,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,4,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,4,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,2,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,3,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,4,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,1,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,1,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,1,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,1,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,1,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,1,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,1,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,3,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,3,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,3,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,4,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,4,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,2,4,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,3,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[2,4,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,1,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,2,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,4,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,4,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,4,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,4,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,4,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[3,4,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,1,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,2,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,3,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,3,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,3,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,3,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,3,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[4,3,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 238

[1,1,2,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,2,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,2,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,2,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,2,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,2,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,3,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,3,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,3,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,5,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,5,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,5,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,2,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,3,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,5,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,1,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,1,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,1,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,1,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,1,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,1,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,1,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,3,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,3,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,3,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,5,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,5,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,2,5,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,3,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[2,5,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,1,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,2,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,5,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,5,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,5,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,5,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,5,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[3,5,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[5,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 810

[1,1,2,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,2,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,2,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,2,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,2,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,2,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,3,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,3,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,3,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,6,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,6,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,6,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,3,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,3,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,3,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,3,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,6,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,6,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,6,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,3,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,1,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,2,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,6,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,6,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,6,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,6,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,6,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[3,6,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,1,2,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,1,2,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,1,2,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,1,4,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,1,4,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,1,4,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,2,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,4,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,1,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,2,1,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,2,1,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,2,1,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,2,4,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,2,4,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,2,4,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[2,4,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,1,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,2,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,4,1,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,4,1,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,4,1,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,4,2,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,4,2,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[4,4,2,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 510

[1,1,2,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,2,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,2,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,2,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,2,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,2,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,4,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,4,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,4,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,5,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,5,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,5,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,2,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,4,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,5,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,1,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,1,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,1,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,1,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,1,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,1,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,1,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,4,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,4,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,4,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,5,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,5,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,2,5,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,4,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[2,5,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,1,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,2,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,5,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,5,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,5,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,5,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,5,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[4,5,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[5,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2451

[1,1,2,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,2,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,2,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,2,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,2,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,2,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,4,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,4,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,4,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,6,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,6,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,6,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,4,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,4,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,4,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,4,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,6,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,6,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,6,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,4,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,1,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,2,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,6,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,6,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,6,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,6,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,6,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[4,6,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,1,2,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,5,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,5,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,5,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,1,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,1,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,1,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,5,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,5,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,5,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,5,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,5,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,5,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,6,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,6,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,6,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,5,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,5,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,5,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,5,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,6,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,6,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,6,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,5,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,1,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,2,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,6,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,6,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,6,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,6,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,6,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[5,6,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,1,3,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,1,3,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,1,3,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,2,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,2,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,2,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,2,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,3,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,1,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,1,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,1,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,1,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,3,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,3,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,3,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,3,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,3,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[2,3,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,1,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,2,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,2,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,2,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,2,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,2,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,2,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,1,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,1,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,1,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,1,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,1,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,1,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,2,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,2,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,2,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,3,1,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,3,1,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[3,3,3,2,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 87

[1,1,2,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,2,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,2,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,3,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,3,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,3,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,3,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,3,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,3,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,4,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,4,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,4,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,2,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,3,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,4,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,1,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,3,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,4,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,4,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,4,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,4,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,4,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[2,4,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,1,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,2,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,1,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,1,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,1,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,1,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,1,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,1,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,2,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,2,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,2,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,4,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,4,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,3,4,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[3,4,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,1,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,2,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,2,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,2,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,2,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,2,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,2,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[4,3,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 575

[1,1,2,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,2,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,2,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,3,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,3,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,3,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,3,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,3,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,3,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,5,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,5,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,5,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,2,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,3,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,5,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,1,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,3,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,5,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,5,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,5,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,5,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,5,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[2,5,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,1,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,2,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,1,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,1,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,1,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,1,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,1,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,1,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,2,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,2,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,2,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,5,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,5,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,3,5,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[3,5,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[5,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 2288

[1,1,2,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,2,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,2,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,3,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,3,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,3,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,3,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,3,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,3,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,6,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,6,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,6,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,2,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,3,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,6,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,1,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,3,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,6,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,6,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,6,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,6,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,6,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[2,6,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,1,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,2,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,1,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,1,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,1,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,1,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,1,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,1,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,2,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,2,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,2,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,6,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,6,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,3,6,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[3,6,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[6,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1

[1,1,2,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,2,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,2,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,3,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,3,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,3,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,4,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,4,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,4,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,4,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,4,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,4,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,2,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,3,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,4,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,1,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,3,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,3,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,3,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,3,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,3,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,3,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[2,4,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,1,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,2,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,2,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,2,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,2,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,2,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,2,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[3,4,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,1,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,2,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,3,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,1,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,1,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,1,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,1,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,1,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,1,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,2,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,2,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,2,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,3,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,3,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[4,4,3,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1716

[1,1,2,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,2,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,2,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,2,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,2,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,2,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,3,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,3,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,3,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,3,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,3,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,3,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,4,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,4,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,4,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,4,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,4,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,4,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,5,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,5,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,5,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,5,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,5,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,5,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,2,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,3,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,4,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,5,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,1,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,3,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,4,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[2,5,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,1,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,2,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,4,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[3,5,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,1,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,2,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,3,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[4,5,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[5,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 9764

[1,1,2,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,2,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,2,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,2,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,2,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,2,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,3,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,3,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,3,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,3,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,3,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,3,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,4,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,4,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,4,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,4,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,4,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,4,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,6,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,6,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,6,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,6,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,6,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,6,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,1,2,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,2,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,2,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,3,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,3,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,3,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,5,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,5,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,5,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,5,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,5,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,5,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,2,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,3,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,5,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,1,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,3,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,3,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,3,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,3,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,3,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,3,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[2,5,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,1,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,2,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,2,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,2,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,2,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,2,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,2,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[3,5,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[5,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 4

[1,1,2,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,2,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,2,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,2,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,2,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,2,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,3,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,3,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,3,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,3,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,3,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,3,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,5,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,5,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,5,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,5,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,5,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,5,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,6,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,6,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,6,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,6,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,6,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,6,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,2,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,3,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,5,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,6,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,1,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,3,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,5,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[2,6,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,1,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,2,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,5,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[3,6,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,1,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,2,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,3,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[5,6,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[6,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 3

[1,1,2,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,1,4,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,1,4,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,1,4,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,2,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,2,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,2,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,2,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,4,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,1,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,1,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,1,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,1,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,4,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,4,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,4,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,4,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,4,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[2,4,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,1,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,2,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,2,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,2,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,2,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,2,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,2,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,1,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,1,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,1,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,1,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,1,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,1,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,2,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,2,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,2,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,4,1,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,4,1,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[4,4,4,2,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 7

[1,1,2,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,2,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,2,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,4,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,4,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,4,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,4,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,4,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,4,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,5,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,5,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,5,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,2,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,4,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,5,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,1,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,4,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,5,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,5,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,5,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,5,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,5,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[2,5,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,1,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,2,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,1,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,1,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,1,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,1,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,1,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,1,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,2,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,2,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,2,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,5,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,5,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,4,5,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[4,5,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[5,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 14

[1,1,2,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,2,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,2,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,4,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,4,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,4,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,4,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,4,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,4,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,6,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,6,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,6,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,2,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,4,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,6,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,1,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,4,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,6,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,6,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,6,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,6,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,6,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[2,6,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,1,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,2,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,1,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,1,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,1,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,1,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,1,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,1,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,2,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,2,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,2,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,6,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,6,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,4,6,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[4,6,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[6,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 0

[1,1,2,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,2,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,2,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,4,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,4,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,4,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,5,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,5,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,5,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,5,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,5,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,5,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,2,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,4,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,5,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,1,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,4,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,4,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,4,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,4,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,4,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,4,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[2,5,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,1,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,2,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,2,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,2,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,2,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,2,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,2,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[4,5,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[5,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 6

[1,1,2,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,2,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,2,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,2,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,2,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,2,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,4,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,4,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,4,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,4,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,4,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,4,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,5,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,5,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,5,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,5,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,5,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,5,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,6,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,6,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,6,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,6,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,6,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,6,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,2,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,4,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,5,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,6,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,1,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,4,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,5,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[2,6,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,1,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,2,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,5,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[4,6,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,1,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,2,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,4,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[5,6,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[6,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 3

[1,1,3,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[1,3,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[1,3,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[1,3,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[1,3,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,1,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,1,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,1,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,1,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,3,1,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,3,1,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,3,1,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,3,3,1,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,3,3,1,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[3,3,3,3,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0

[1,1,3,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,1,3,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,1,3,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,1,4,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,3,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,4,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,4,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,4,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,4,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,1,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,1,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,1,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,1,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,1,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,1,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,1,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,3,1,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,3,1,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,3,4,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,4,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,4,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,3,4,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,4,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,4,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,4,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,4,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,4,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[3,4,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,1,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,1,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,1,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,1,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,3,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,3,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,3,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,3,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,3,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[4,3,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 6

[1,1,3,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,1,3,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,1,3,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,1,5,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,3,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,5,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,5,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,5,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,5,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,1,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,1,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,1,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,1,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,1,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,1,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,1,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,3,1,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,3,1,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,3,5,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,5,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,5,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,3,5,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,5,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,5,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,5,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,5,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,5,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[3,5,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[5,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 20

[1,1,3,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,1,3,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,1,3,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,1,6,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,3,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,6,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,6,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,6,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,6,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,1,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,1,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,1,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,1,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,1,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,1,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,1,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,3,1,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,3,1,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,3,6,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,6,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,6,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,3,6,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,6,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,6,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,6,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,6,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,6,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[3,6,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[6,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 2

[1,1,3,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,1,3,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,1,3,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,1,4,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,1,4,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,1,4,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,3,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,4,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,1,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,3,1,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,3,1,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,3,1,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,3,4,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,3,4,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,3,4,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[3,4,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,1,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,3,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,4,1,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,4,1,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,4,1,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,4,3,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,4,3,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[4,4,3,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 26

[1,1,3,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,3,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,3,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,3,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,3,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,3,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,4,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,4,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,4,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,5,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,5,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,5,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,3,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,4,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,5,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,1,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,1,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,1,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,1,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,1,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,1,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,1,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,4,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,4,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,4,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,5,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,5,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,3,5,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,4,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[3,5,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,1,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,3,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,5,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,5,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,5,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,5,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,5,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[4,5,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[5,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 87

[1,1,3,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,3,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,3,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,3,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,3,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,3,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,4,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,4,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,4,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,6,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,6,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,6,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,3,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,4,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,6,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,1,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,1,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,1,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,1,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,1,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,1,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,1,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,4,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,4,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,4,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,6,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,6,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,3,6,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,4,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[3,6,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,1,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,3,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,6,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,6,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,6,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,6,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,6,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[4,6,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[6,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 3

[1,1,3,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,1,3,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,1,3,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,1,5,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,1,5,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,1,5,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,3,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,5,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,1,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,3,1,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,3,1,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,3,1,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,3,5,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,3,5,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,3,5,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[3,5,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[5,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 11

[1,1,3,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,3,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,3,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,3,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,3,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,3,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,5,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,5,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,5,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,6,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,6,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,6,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,3,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,5,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,6,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,1,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,1,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,1,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,1,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,1,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,1,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,1,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,5,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,5,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,5,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,6,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,6,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,3,6,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,5,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[3,6,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,1,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,3,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,6,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,6,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,6,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,6,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,6,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[5,6,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[6,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 7

[1,1,3,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,1,4,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,1,4,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,1,4,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,3,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,3,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,3,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,3,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,4,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,1,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,1,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,1,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,1,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,4,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,4,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,4,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,4,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,4,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[3,4,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,1,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,3,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,3,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,3,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,3,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,3,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,3,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,1,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,1,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,1,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,1,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,1,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,1,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,3,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,3,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,3,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,4,1,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,4,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[4,4,4,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 20

[1,1,3,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,3,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,3,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,4,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,4,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,4,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,4,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,4,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,4,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,5,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,5,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,5,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,3,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,4,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,5,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,1,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,4,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,5,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,5,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,5,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,5,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,5,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[3,5,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,1,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,3,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,1,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,1,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,1,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,1,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,1,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,1,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,3,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,3,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,3,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,5,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,5,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,4,5,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[4,5,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[5,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 50

[1,1,3,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,3,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,3,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,4,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,4,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,4,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,4,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,4,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,4,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,6,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,6,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,6,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,3,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,4,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,6,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,1,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,4,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,6,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,6,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,6,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,6,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,6,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[3,6,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,1,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,3,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,1,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,1,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,1,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,1,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,1,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,1,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,3,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,3,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,3,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,6,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,6,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,4,6,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[4,6,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[6,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1

[1,1,3,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,3,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,3,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,4,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,4,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,4,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,5,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,5,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,5,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,5,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,5,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,5,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,3,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,4,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,5,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,1,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,4,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,4,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,4,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,4,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,4,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,4,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[3,5,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,1,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,3,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,3,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,3,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,3,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,3,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,3,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[4,5,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[5,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 20

[1,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,3,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,3,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,3,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,3,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,4,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,4,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,4,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,4,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,4,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,4,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,5,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,5,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,5,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,5,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,5,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,5,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,6,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,6,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,6,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,6,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,6,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,1,6,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,3,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,4,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,5,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,6,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,1,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,4,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,5,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[3,6,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,1,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,3,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,5,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[4,6,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,1,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,3,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,4,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[5,6,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[6,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 9

[1,2,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 3

[2,1,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 3

[2,2,1,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 3

[2,2,2,1,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 3

[2,2,2,2,1,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 3

[2,2,2,2,2,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 3

[1,2,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[1,2,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[1,2,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[1,2,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[1,3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,1,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,1,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,1,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,1,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,1,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,1,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,1,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,2,1,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,2,1,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,2,2,1,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,2,2,3,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,2,3,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,2,3,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,3,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,3,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,2,3,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,3,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,3,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,3,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[2,3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[3,1,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[3,2,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[3,2,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[3,2,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[3,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 7

[1,2,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[1,2,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[1,2,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[1,2,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[1,4,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,1,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,1,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,1,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,1,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,1,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,1,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,1,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,2,1,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,2,1,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,2,2,1,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,2,2,4,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,2,4,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,2,4,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,4,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,4,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,2,4,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,4,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,4,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,4,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[2,4,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[4,1,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[4,2,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[4,2,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[4,2,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[4,2,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 22

[1,2,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[1,2,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[1,2,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[1,2,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[1,5,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,1,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,1,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,1,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,1,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,1,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,1,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,1,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,2,1,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,2,1,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,2,2,1,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,2,2,5,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,2,5,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,2,5,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,5,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,5,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,2,5,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,5,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,5,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,5,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[2,5,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[5,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[5,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[5,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[5,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[5,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 45

[1,2,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,2,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,2,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,2,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,1,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,1,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,1,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,1,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,1,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,1,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,1,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,2,1,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,2,1,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,2,2,1,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,2,2,6,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,2,6,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,2,6,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,6,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,6,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,2,6,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,6,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,6,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,6,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[2,6,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,2,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,2,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,2,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,2,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,2,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,2,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,3,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,3,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,3,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,3,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,1,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,1,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,1,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,1,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,1,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,1,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,1,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,1,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,1,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,2,1,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,2,3,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,2,3,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,3,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,3,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,3,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,3,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,3,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,2,3,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[2,3,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,1,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,1,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,1,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,1,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,2,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,3,1,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,3,2,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,3,2,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[3,3,2,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 8

[1,2,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,3,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,3,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,3,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,3,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,4,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,4,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,4,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,4,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,1,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,1,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,1,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,1,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,1,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,1,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,1,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,2,1,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,2,1,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,2,3,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,2,3,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,2,4,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,2,4,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,3,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,3,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,3,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,3,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,3,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,3,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,4,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,4,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,4,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,4,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,4,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,2,4,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,3,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[2,4,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,1,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,1,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,1,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,1,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,2,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,4,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,4,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,4,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[3,4,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,1,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,1,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,1,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,1,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,2,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,3,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,3,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,3,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[4,3,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 60

[1,2,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,3,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,3,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,3,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,3,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,5,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,5,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,5,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,5,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,1,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,1,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,1,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,1,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,1,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,1,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,1,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,2,1,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,2,1,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,2,3,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,2,3,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,2,5,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,2,5,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,3,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,3,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,3,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,3,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,3,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,3,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,5,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,5,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,5,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,5,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,5,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,2,5,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,3,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[2,5,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,1,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,1,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,1,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,1,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,2,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,5,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,5,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,5,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[3,5,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[5,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 176

[1,2,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,1,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,1,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,1,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,1,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,1,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,1,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,1,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,2,1,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,2,1,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,2,3,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,2,3,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,2,6,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,2,6,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,3,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,3,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,3,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,3,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,3,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,3,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,6,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,6,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,6,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,6,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,6,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,2,6,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,3,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[2,6,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,2,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,2,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,2,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,2,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,2,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,2,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,2,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,4,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,4,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,4,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,4,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,1,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,1,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,1,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,1,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,1,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,1,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,1,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,1,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,1,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,2,1,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,2,4,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,2,4,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,4,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,4,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,4,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,4,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,4,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,2,4,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[2,4,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,1,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,1,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,1,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,1,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,2,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,4,1,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,4,2,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,4,2,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[4,4,2,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 133

[1,2,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,4,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,4,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,4,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,4,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,5,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,5,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,5,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,5,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,1,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,1,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,1,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,1,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,1,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,1,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,1,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,2,1,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,2,1,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,2,4,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,2,4,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,2,5,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,2,5,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,4,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,4,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,4,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,4,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,4,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,4,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,5,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,5,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,5,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,5,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,5,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,2,5,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,4,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[2,5,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,1,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,1,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,1,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,1,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,2,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,5,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,5,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,5,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[4,5,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[5,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 510

[1,2,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,4,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,4,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,4,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,4,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,6,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,6,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,6,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,6,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,1,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,1,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,1,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,1,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,1,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,1,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,1,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,2,1,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,2,1,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,2,4,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,2,4,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,2,6,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,2,6,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,4,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,4,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,4,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,4,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,4,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,4,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,6,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,6,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,6,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,6,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,6,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,2,6,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,4,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[2,6,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,1,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,1,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,1,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,1,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,2,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,6,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,6,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,6,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[4,6,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[6,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1

[1,2,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,2,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,2,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,2,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,2,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,2,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,5,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,5,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,5,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,5,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,1,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,1,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,1,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,1,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,1,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,1,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,1,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,1,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,1,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,2,1,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,2,5,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,2,5,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,5,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,5,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,5,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,5,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,5,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,2,5,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[2,5,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[5,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 2

[1,2,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,5,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,5,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,5,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,5,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,6,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,6,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,6,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,6,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,1,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,1,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,1,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,1,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,1,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,1,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,1,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,2,1,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,2,1,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,2,5,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,2,5,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,2,6,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,2,6,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,5,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,5,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,5,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,5,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,5,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,5,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,6,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,6,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,6,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,6,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,6,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,2,6,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,5,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[2,6,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,1,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,1,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,1,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,1,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,2,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,6,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,6,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,6,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[5,6,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[6,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1

[1,2,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,2,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,2,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,2,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,3,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,3,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,3,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,3,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,3,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,3,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,1,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,1,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,1,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,1,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,2,1,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,2,3,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,2,3,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,2,3,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[2,3,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,1,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,1,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,1,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,1,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,1,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,1,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,2,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,1,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,1,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,1,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,2,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,2,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,2,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,2,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,2,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,2,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,3,1,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,3,2,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[3,3,3,2,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 16

[1,2,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,3,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,4,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,4,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,4,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,4,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,4,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,4,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,1,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,1,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,1,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,1,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,3,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,3,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,3,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,3,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,3,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,3,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,4,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,4,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,2,4,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,3,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[2,4,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,1,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,2,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,1,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,1,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,1,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,2,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,2,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,2,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,2,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,2,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,2,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,4,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,4,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,3,4,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[3,4,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,1,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,1,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,1,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,1,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,1,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,1,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,2,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[4,3,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 113

[1,2,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,3,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,5,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,5,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,5,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,5,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,5,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,5,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,1,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,1,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,1,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,1,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,3,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,3,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,3,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,3,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,3,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,3,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,5,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,5,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,2,5,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,3,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[2,5,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,1,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,2,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,1,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,1,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,1,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,2,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,2,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,2,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,2,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,2,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,2,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,5,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,5,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,3,5,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[3,5,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[5,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 423

[1,2,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,3,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,6,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,6,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,6,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,6,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,6,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,6,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,1,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,1,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,1,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,1,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,3,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,3,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,3,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,3,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,3,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,3,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,6,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,6,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,2,6,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,3,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[2,6,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,1,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,2,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,1,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,1,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,1,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,2,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,2,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,2,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,2,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,2,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,2,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,6,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,6,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,3,6,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[3,6,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[6,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 0

[1,2,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,3,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,3,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,3,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,3,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,3,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,3,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,4,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,1,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,1,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,1,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,1,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,3,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,3,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,3,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,4,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,4,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,4,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,4,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,4,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,2,4,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,3,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[2,4,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,1,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,1,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,1,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,1,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,1,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,1,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,2,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[3,4,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,1,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,2,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,3,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,1,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,1,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,1,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,2,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,2,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,2,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,2,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,2,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,2,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,3,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,3,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[4,4,3,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 340

[1,2,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,3,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,4,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,5,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,1,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,1,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,1,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,1,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,1,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,1,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,1,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,3,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,3,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,3,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,3,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,3,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,3,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,4,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,4,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,4,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,4,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,4,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,4,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,5,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,5,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,5,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,5,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,5,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,2,5,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,3,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,4,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[2,5,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,1,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,2,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,4,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[3,5,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,1,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,2,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,3,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[4,5,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[5,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 1716

[1,2,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,3,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,4,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,6,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,1,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,1,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,1,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,1,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,1,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,1,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,1,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,3,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,3,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,3,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,3,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,3,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,3,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,4,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,4,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,4,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,4,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,4,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,4,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,6,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,6,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,6,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,6,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,6,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,2,6,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,3,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,4,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[2,6,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,1,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,2,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,4,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[3,6,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,1,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,2,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,3,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[4,6,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[6,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2

[1,2,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,3,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,3,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,3,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,3,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,3,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,3,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,5,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,1,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,1,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,1,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,1,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,3,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,3,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,3,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,5,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,5,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,5,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,5,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,5,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,2,5,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,3,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[2,5,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,1,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,1,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,1,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,1,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,1,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,1,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,2,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[3,5,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[5,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 9

[1,2,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,3,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,5,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,6,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,1,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,1,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,1,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,1,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,1,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,1,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,1,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,3,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,3,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,3,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,3,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,3,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,3,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,5,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,5,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,5,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,5,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,5,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,5,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,6,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,6,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,6,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,6,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,6,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,2,6,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,3,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,5,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[2,6,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,1,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,2,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,5,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[3,6,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,1,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,2,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,3,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[5,6,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[6,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 4

[1,2,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,2,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,2,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,2,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,4,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,4,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,4,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,4,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,4,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,4,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,1,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,1,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,1,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,1,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,2,1,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,2,4,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,2,4,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,2,4,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[2,4,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,1,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,1,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,1,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,1,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,1,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,1,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,2,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,1,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,1,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,1,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,2,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,2,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,2,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,2,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,2,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,2,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,4,1,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,4,2,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[4,4,4,2,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 10

[1,2,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,4,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,5,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,5,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,5,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,5,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,5,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,5,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,1,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,1,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,1,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,1,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,4,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,4,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,4,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,4,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,4,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,4,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,5,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,5,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,2,5,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,4,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[2,5,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,1,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,2,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,1,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,1,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,1,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,2,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,2,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,2,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,2,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,2,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,2,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,5,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,5,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,4,5,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[4,5,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[5,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 50

[1,2,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,4,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,6,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,6,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,6,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,6,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,6,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,6,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,1,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,1,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,1,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,1,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,4,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,4,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,4,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,4,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,4,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,4,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,6,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,6,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,2,6,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,4,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[2,6,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,1,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,2,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,1,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,1,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,1,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,2,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,2,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,2,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,2,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,2,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,2,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,6,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,6,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,4,6,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[4,6,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[6,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 5

[1,2,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,4,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,4,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,4,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,4,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,4,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,4,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,5,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,1,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,1,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,1,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,1,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,4,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,4,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,4,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,5,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,5,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,5,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,5,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,5,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,2,5,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,4,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[2,5,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,1,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,1,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,1,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,1,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,1,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,1,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,2,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[4,5,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[5,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 31

[1,2,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,4,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,5,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,6,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,1,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,1,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,1,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,1,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,1,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,1,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,1,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,4,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,4,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,4,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,4,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,4,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,4,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,5,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,5,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,5,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,5,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,5,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,5,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,6,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,6,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,6,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,6,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,6,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,2,6,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,4,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,5,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[2,6,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,1,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,2,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,5,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[4,6,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,1,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,2,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,4,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[5,6,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[6,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 12

[1,2,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[1,3,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[1,3,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[1,3,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[1,3,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[2,1,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[2,3,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[2,3,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[2,3,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[2,3,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,1,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,1,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,1,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,1,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,2,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,2,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,2,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,2,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,1,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,1,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,1,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,2,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,2,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,2,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,3,1,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,3,1,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,3,2,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,3,2,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,3,3,1,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[3,3,3,3,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 12

[1,2,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,2,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,2,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,2,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,3,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,4,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,4,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,4,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,4,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,1,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,1,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,1,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,1,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,3,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,4,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,4,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,4,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[2,4,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,1,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,2,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,1,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,1,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,1,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,1,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,1,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,1,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,2,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,2,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,2,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,2,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,2,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,2,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,3,1,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,3,1,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,3,2,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,3,2,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,3,4,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,3,4,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,4,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,4,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,4,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,4,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,4,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,3,4,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[3,4,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,1,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,1,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,1,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,1,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,2,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,2,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,2,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,2,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[4,3,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 54

[1,2,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,2,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,2,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,2,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,3,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,5,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,5,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,5,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,5,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,1,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,1,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,1,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,1,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,3,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,5,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,5,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,5,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[2,5,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,1,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,2,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,1,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,1,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,1,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,1,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,1,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,1,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,2,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,2,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,2,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,2,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,2,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,2,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,3,1,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,3,1,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,3,2,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,3,2,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,3,5,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,3,5,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,5,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,5,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,5,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,5,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,5,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,3,5,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[3,5,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[5,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 177

[1,2,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,3,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,3,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,1,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,2,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,1,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,1,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,1,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,1,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,1,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,1,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,2,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,2,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,2,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,2,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,2,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,2,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,3,1,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,3,1,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,3,2,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,3,2,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,3,6,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,3,6,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,6,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,6,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,6,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,6,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,6,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,3,6,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[3,6,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,2,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,2,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,2,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,2,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,2,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,3,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,4,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,1,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,1,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,1,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,1,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,1,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,1,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,3,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[2,4,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,1,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,2,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,1,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,1,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,1,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,2,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,2,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,2,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,4,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,4,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,4,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,4,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,4,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,3,4,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[3,4,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,1,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,2,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,3,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,1,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,1,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,1,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,2,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,2,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,2,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,3,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,3,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,3,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,3,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,3,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[4,4,3,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 117

[1,2,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,3,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,4,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,5,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,1,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,3,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,4,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[2,5,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,1,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,2,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,1,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,1,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,1,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,1,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,1,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,1,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,2,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,2,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,2,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,2,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,2,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,2,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,4,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,4,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,4,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,4,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,4,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,4,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,5,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,5,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,5,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,5,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,5,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,3,5,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,4,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[3,5,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,1,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,2,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,3,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[4,5,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[5,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 575

[1,2,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,3,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,4,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,6,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,1,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,3,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,4,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[2,6,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,1,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,2,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,1,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,1,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,1,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,1,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,1,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,1,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,2,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,2,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,2,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,2,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,2,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,2,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,4,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,4,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,4,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,4,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,4,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,4,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,6,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,6,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,6,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,6,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,6,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,3,6,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,4,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[3,6,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,1,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,2,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,3,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[4,6,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[6,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 4

[1,2,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,2,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,2,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,2,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,2,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,2,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,3,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,5,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,1,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,1,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,1,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,1,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,1,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,1,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,3,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[2,5,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,1,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,2,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,1,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,1,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,1,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,2,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,2,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,2,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,5,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,5,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,5,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,5,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,5,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,3,5,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[3,5,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[5,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 26

[1,2,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,3,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,5,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,6,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,1,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,3,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,5,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[2,6,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,1,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,2,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,1,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,1,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,1,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,1,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,1,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,1,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,2,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,2,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,2,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,2,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,2,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,2,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,5,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,5,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,5,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,5,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,5,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,5,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,6,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,6,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,6,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,6,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,6,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,3,6,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,5,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[3,6,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,1,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,2,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,3,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[5,6,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[6,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 12

[1,2,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,2,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,2,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,2,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,3,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,3,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,3,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,3,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,4,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,1,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,1,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,1,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,1,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,3,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,3,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,3,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,3,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[2,4,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,1,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,1,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,1,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,1,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,2,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,2,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,2,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,2,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[3,4,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,1,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,2,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,3,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,1,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,1,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,1,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,1,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,1,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,1,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,2,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,2,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,2,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,2,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,2,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,2,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,3,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,3,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,3,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,3,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,3,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,3,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,4,1,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,4,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,4,2,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,4,2,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,4,3,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[4,4,4,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 60

[1,2,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,3,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,4,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,5,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,1,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,3,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,4,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[2,5,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,1,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,2,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,4,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[3,5,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,1,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,2,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,3,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,1,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,1,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,1,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,1,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,1,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,1,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,2,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,2,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,2,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,2,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,2,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,2,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,3,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,3,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,3,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,3,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,3,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,3,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,5,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,5,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,5,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,5,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,5,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,4,5,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[4,5,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[5,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 241

[1,2,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,3,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,4,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,6,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,1,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,3,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,4,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[2,6,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,1,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,2,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,4,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[3,6,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,1,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,2,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,3,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,1,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,1,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,1,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,1,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,1,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,1,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,2,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,2,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,2,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,2,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,2,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,2,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,3,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,3,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,3,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,3,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,3,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,3,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,6,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,6,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,6,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,6,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,6,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,4,6,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[4,6,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[6,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 9

[1,2,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,3,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,4,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,5,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,1,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,3,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,4,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[2,5,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,1,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,2,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,4,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[3,5,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,1,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,2,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,3,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[4,5,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 105

[1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,3,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,3,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,3,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,3,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,4,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,4,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,4,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,4,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,4,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,4,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,5,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,5,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,5,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,5,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,5,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,5,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,6,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,6,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,6,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,6,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,6,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,2,6,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,2,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,2,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,2,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,2,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,2,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,2,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,4,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,4,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,4,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,4,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,4,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,4,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,5,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,5,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,5,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,5,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,5,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,5,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,6,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,6,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,6,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,6,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,6,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,3,6,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,2,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,2,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,2,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,2,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,2,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,2,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,3,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,3,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,3,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,3,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,3,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,3,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,5,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,5,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,5,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,5,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,5,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,5,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,6,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,6,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,6,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,6,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,6,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,4,6,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,2,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,2,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,2,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,2,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,2,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,2,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,3,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,3,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,3,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,3,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,3,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,3,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,4,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,4,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,4,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,4,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,4,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,4,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,6,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,6,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,6,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,6,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,6,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,5,6,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[1,6,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,3,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,3,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,3,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,3,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,3,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,4,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,4,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,4,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,4,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,4,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,4,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,5,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,5,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,5,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,5,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,5,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,5,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,6,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,6,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,6,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,6,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,6,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,1,6,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,1,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,1,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,1,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,1,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,1,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,1,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,4,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,4,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,4,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,4,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,4,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,4,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,5,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,5,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,5,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,5,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,5,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,5,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,6,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,6,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,6,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,6,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,6,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,3,6,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,1,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,1,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,1,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,1,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,1,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,1,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,3,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,3,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,3,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,3,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,3,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,3,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,5,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,5,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,5,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,5,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,5,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,5,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,6,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,6,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,6,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,6,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,6,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,4,6,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,1,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,1,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,1,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,1,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,1,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,1,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,3,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,3,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,3,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,3,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,3,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,3,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,4,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,4,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,4,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,4,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,4,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,4,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,6,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,6,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,6,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,6,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,6,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,5,6,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[2,6,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,2,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,2,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,2,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,2,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,2,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,2,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,4,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,4,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,4,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,4,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,4,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,4,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,5,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,5,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,5,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,5,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,5,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,5,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,6,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,6,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,6,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,6,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,6,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,1,6,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,1,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,1,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,1,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,1,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,1,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,1,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,4,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,4,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,4,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,4,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,4,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,4,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,5,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,5,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,5,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,5,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,5,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,5,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,6,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,6,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,6,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,6,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,6,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,2,6,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,1,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,1,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,1,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,1,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,1,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,1,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,2,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,2,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,2,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,2,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,2,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,2,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,5,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,5,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,5,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,5,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,5,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,5,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,6,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,6,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,6,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,6,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,6,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,4,6,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,1,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,1,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,1,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,1,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,1,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,1,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,2,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,2,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,2,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,2,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,2,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,2,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,4,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,4,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,4,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,4,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,4,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,4,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,6,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,6,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,6,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,6,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,6,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,5,6,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[3,6,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,2,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,2,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,2,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,2,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,2,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,2,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,3,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,3,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,3,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,3,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,3,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,3,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,5,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,5,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,5,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,5,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,5,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,5,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,6,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,6,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,6,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,6,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,6,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,1,6,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,1,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,1,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,1,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,1,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,1,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,1,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,3,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,3,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,3,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,3,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,3,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,3,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,5,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,5,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,5,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,5,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,5,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,5,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,6,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,6,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,6,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,6,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,6,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,2,6,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,1,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,1,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,1,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,1,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,1,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,1,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,2,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,2,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,2,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,2,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,2,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,2,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,5,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,5,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,5,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,5,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,5,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,5,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,6,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,6,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,6,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,6,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,6,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,3,6,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,1,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,1,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,1,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,1,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,1,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,1,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,2,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,2,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,2,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,2,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,2,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,2,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,3,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,3,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,3,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,3,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,3,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,3,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,6,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,6,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,6,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,6,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,6,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,5,6,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[4,6,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,2,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,2,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,2,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,2,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,2,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,2,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,3,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,3,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,3,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,3,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,3,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,3,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,4,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,4,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,4,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,4,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,4,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,4,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,6,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,6,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,6,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,6,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,6,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,1,6,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,1,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,1,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,1,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,1,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,1,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,1,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,3,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,3,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,3,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,3,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,3,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,3,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,4,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,4,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,4,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,4,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,4,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,4,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,6,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,6,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,6,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,6,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,6,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,2,6,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,1,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,1,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,1,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,1,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,1,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,1,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,2,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,2,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,2,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,2,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,2,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,2,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,4,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,4,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,4,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,4,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,4,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,4,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,6,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,6,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,6,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,6,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,6,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,3,6,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,1,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,1,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,1,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,1,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,1,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,1,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,2,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,2,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,2,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,2,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,2,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,2,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,3,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,3,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,3,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,3,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,3,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,3,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,6,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,6,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,6,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,6,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,6,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,4,6,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[5,6,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

[6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 38

search for individual values

searching the database for the individual values of this statistic

Description

The multiplicity of the irreducible representation corresponding to a partition in the relabelling action on polygons.
Equivalently, this is the multiplicity of the irreducible representation corresponding to a partition in the cycle index of the dihedral group.
This statistic is only defined for partitions of size at least 3, to avoid ambiguity.

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

promotion

Description

The promotion of the two-row standard Young tableau of a Dyck path.
Dyck paths of semilength

$n$ are in bijection with standard Young tableaux of shape

$(n^2)$ , see Mp00033to two-row standard tableau.
This map is the bijection on such standard Young tableaux given by Schützenberger's promotion. For definitions and details, see [1] and the references therein.

Map

to Dyck path

Description

Sends a parking function to its support Dyck word.