Identifier
-
Mp00132:
Dyck paths
—switch returns and last double rise⟶
Dyck paths
Mp00100: Dyck paths —touch composition⟶ Integer compositions
Mp00184: Integer compositions —to threshold graph⟶ Graphs
St000097: Graphs ⟶ ℤ
Values
[1,0] => [1,0] => [1] => ([],1) => 1
[1,0,1,0] => [1,0,1,0] => [1,1] => ([(0,1)],2) => 2
[1,1,0,0] => [1,1,0,0] => [2] => ([],2) => 1
[1,0,1,0,1,0] => [1,0,1,0,1,0] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,0] => [1,1,0,1,0,0] => [3] => ([],3) => 1
[1,1,0,0,1,0] => [1,1,0,0,1,0] => [2,1] => ([(0,2),(1,2)],3) => 2
[1,1,0,1,0,0] => [1,0,1,1,0,0] => [1,2] => ([(1,2)],3) => 2
[1,1,1,0,0,0] => [1,1,1,0,0,0] => [3] => ([],3) => 1
[1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0] => [4] => ([],4) => 1
[1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [1,3] => ([(2,3)],4) => 2
[1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0] => [4] => ([],4) => 1
[1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0] => [4] => ([],4) => 1
[1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 3
[1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0] => [4] => ([],4) => 1
[1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => ([(1,3),(2,3)],4) => 2
[1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0] => [1,3] => ([(2,3)],4) => 2
[1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => [4] => ([],4) => 1
[1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0] => [5] => ([],5) => 1
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [1,4] => ([(3,4)],5) => 2
[1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [5] => ([],5) => 1
[1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0] => [5] => ([],5) => 1
[1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [5] => ([],5) => 1
[1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [1,4] => ([(3,4)],5) => 2
[1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [1,4] => ([(3,4)],5) => 2
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => [5] => ([],5) => 1
[1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0] => [5] => ([],5) => 1
[1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [2,3] => ([(2,4),(3,4)],5) => 2
[1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [5] => ([],5) => 1
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0] => [5] => ([],5) => 1
[1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0] => [5] => ([],5) => 1
[1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0] => [1,4] => ([(3,4)],5) => 2
[1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => [5] => ([],5) => 1
[1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0] => [5] => ([],5) => 1
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0] => [5] => ([],5) => 1
[1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0] => [5] => ([],5) => 1
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,3] => ([(2,4),(3,4)],5) => 2
[1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,4] => ([(3,4)],5) => 2
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => [5] => ([],5) => 1
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [6] => ([],6) => 1
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6] => ([],6) => 1
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [6] => ([],6) => 1
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [6] => ([],6) => 1
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6] => ([],6) => 1
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [6] => ([],6) => 1
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6] => ([],6) => 1
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [6] => ([],6) => 1
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [6] => ([],6) => 1
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6] => ([],6) => 1
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [6] => ([],6) => 1
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [6] => ([],6) => 1
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [6] => ([],6) => 1
>>> Load all 2060 entries. <<<[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6] => ([],6) => 1
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [6] => ([],6) => 1
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,4] => ([(3,5),(4,5)],6) => 2
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6] => ([],6) => 1
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [6] => ([],6) => 1
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [6] => ([],6) => 1
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,4] => ([(3,5),(4,5)],6) => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,4] => ([(3,5),(4,5)],6) => 2
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6] => ([],6) => 1
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [6] => ([],6) => 1
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6] => ([],6) => 1
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [6] => ([],6) => 1
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [6] => ([],6) => 1
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [6] => ([],6) => 1
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [6] => ([],6) => 1
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [6] => ([],6) => 1
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [6] => ([],6) => 1
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [6] => ([],6) => 1
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [6] => ([],6) => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6] => ([],6) => 1
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [6] => ([],6) => 1
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [6] => ([],6) => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,4] => ([(3,5),(4,5)],6) => 2
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [6] => ([],6) => 1
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [6] => ([],6) => 1
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [6] => ([],6) => 1
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6] => ([],6) => 1
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6] => ([],6) => 1
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [6] => ([],6) => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [6] => ([],6) => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6] => ([],6) => 1
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6] => ([],6) => 1
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,4] => ([(3,5),(4,5)],6) => 2
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,5] => ([(4,5)],6) => 2
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6] => ([],6) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,3,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,4,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,3,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,4,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [7] => ([],7) => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [7] => ([],7) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5] => ([(4,6),(5,6)],7) => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6] => ([(5,6)],7) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7] => ([],7) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,4,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,4] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,4] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,3,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,3] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,3,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,3,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,3] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,4,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,3] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,4,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,4] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,4] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,4] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,4] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,3,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,3] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 7
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,3,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 7
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 7
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 7
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 7
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,4,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,3,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,4,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,3,2] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,4] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,4,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,3,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,3,2] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 6
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,4,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,4] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,4,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,3,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 5
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 4
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5] => ([(4,7),(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6] => ([(5,6),(5,7),(6,7)],8) => 3
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => ([(4,7),(5,7),(6,7)],8) => 2
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6] => ([(5,7),(6,7)],8) => 2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7] => ([(6,7)],8) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8] => ([],8) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => 8
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => 9
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => 8
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 2,2,1 5,5,3,1 14,14,9,4,1 42,42,28,14,5,1 132,132,90,48,20,6,1 429,429,297,165,75,27,7,1
F1=q
F2=q+q2
F3=2 q+2 q2+q3
F4=5 q+5 q2+3 q3+q4
F5=14 q+14 q2+9 q3+4 q4+q5
F6=42 q+42 q2+28 q3+14 q4+5 q5+q6
F7=132 q+132 q2+90 q3+48 q4+20 q5+6 q6+q7
F8=429 q+429 q2+297 q3+165 q4+75 q5+27 q6+7 q7+q8
Description
The order of the largest clique of the graph.
A clique in a graph G is a subset U⊆V(G) such that any pair of vertices in U are adjacent. I.e. the subgraph induced by U is a complete graph.
A clique in a graph G is a subset U⊆V(G) such that any pair of vertices in U are adjacent. I.e. the subgraph induced by U is a complete graph.
Map
touch composition
Description
Sends a Dyck path to its touch composition given by the composition of lengths of its touch points.
Map
switch returns and last double rise
Description
An alternative to the Adin-Bagno-Roichman transformation of a Dyck path.
This is a bijection preserving the number of up steps before each peak and exchanging the number of components with the position of the last double rise.
This is a bijection preserving the number of up steps before each peak and exchanging the number of components with the position of the last double rise.
Map
to threshold graph
Description
The threshold graph corresponding to the composition.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.
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