Identifier
-
Mp00100:
Dyck paths
—touch composition⟶
Integer compositions
Mp00133: Integer compositions —delta morphism⟶ Integer compositions
Mp00184: Integer compositions —to threshold graph⟶ Graphs
St001281: Graphs ⟶ ℤ
Values
[1,0,1,0] => [1,1] => [2] => ([],2) => 0
[1,0,1,0,1,0] => [1,1,1] => [3] => ([],3) => 0
[1,0,1,1,0,0] => [1,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0] => [2,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0] => [1,1,1,1] => [4] => ([],4) => 0
[1,0,1,0,1,1,0,0] => [1,1,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,0,1,0] => [1,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0] => [1,3] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,0] => [1,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,0] => [2,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,0,0] => [2,2] => [2] => ([],2) => 0
[1,1,0,1,0,0,1,0] => [3,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,0] => [3,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1] => [5] => ([],5) => 0
[1,0,1,0,1,0,1,1,0,0] => [1,1,1,2] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,0,1,0] => [1,1,2,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,0] => [1,1,3] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,0] => [1,1,3] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,0,1,0,1,0] => [1,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,0,1,1,0,0] => [1,2,2] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,0,1,0,0,1,0] => [1,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,0] => [1,4] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,0] => [1,4] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,0,1,0] => [1,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,0] => [1,4] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,0] => [1,4] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,0] => [1,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,0,1,0] => [2,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,0,1,0,1,1,0,0] => [2,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,0] => [2,2,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,1,0,0] => [2,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,0] => [2,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,0,1,0] => [3,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,0,1,1,0,0] => [3,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,0] => [4,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,0] => [4,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,0,1,0] => [3,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,0,1,1,0,0] => [3,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,0] => [4,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,0] => [4,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,0] => [4,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1] => [6] => ([],6) => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,3,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2] => [3] => ([],3) => 0
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,0,0] => [3,3] => [2] => ([],2) => 0
>>> Load all 3461 entries. <<<[1,1,0,1,0,0,1,1,1,0,0,0] => [3,3] => [2] => ([],2) => 0
[1,1,0,1,0,1,0,0,1,0,1,0] => [4,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,0,1,1,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,0,1,0] => [4,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,0,0,1,1,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,3] => [2] => ([],2) => 0
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,3] => [2] => ([],2) => 0
[1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,0,0,1,1,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1] => [7] => ([],7) => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,3,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,3] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,3,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,3,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,4,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,4,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,4,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,4,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1] => [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) => 6
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,3] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,3] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,3] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,3] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,3,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1] => [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) => 12
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,3,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1] => [3,1,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2] => [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) => 14
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,3] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,3,1,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,3,2] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,4,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,4,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,4,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,4,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2] => [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) => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1] => [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) => 16
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,3] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,3,1,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,3,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,3,3] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,3,3] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,4,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,4,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,4,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,4,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,3] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,4,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,4,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,4,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,4,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => [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) => 12
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,3] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] => [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) => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,3,1] => [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) => 6
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] => [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) => 6
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1] => [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) => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1] => [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) => 6
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [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) => 10
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,3,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => [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) => 6
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,3,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,3] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2] => [4] => ([],4) => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,3,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1] => [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] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,3] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,3] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,3] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,3,1,1] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,3,1,1] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => [2] => ([],2) => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,3] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,3] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,4] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,4] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,6] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,9] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,4] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,4] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,2,2] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,3,1] => [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) => 12
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,2,1,2] => [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) => 16
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,2,2,1] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,2,3] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,3,1,1] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,3,2] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,4,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1,2,1] => [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) => 20
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,2,2,1,1] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2,2] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,2,4] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1] => [3,1,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,3,2,1] => [3,1,1,1] => ([(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) => 14
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,3,3] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,5,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,1,2] => [2,1,3,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,2,1,1,2,1] => [2,1,2,1,1] => ([(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) => 12
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,2,1,1,3] => [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) => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,1,2,2] => [2,1,1,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,2,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,2,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,2,3,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,2,4,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,2,5] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,3,2,2] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,4,3] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,5,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,5,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,6,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,2] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,2,1] => [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) => 12
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,1,2,1,1] => [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) => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1] => [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) => 0
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1] => [1,2,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,2,1,1,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,2,1,1] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2] => [1,4] => ([(3,4)],5) => 0
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,2,3,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,2,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,3,1,1,1] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,3,3] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,3,1,1] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,3,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,4,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,4,2,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,4,4] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,6,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [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) => 12
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,1,2,1,1] => [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) => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,1,2,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,1,3,1] => [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) => 10
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,4] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [1,2,1,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,1,2,3] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,1,4,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,5] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [1,1,1,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2,2] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,3] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,2,1,1,1,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,2,1,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,2,1,1,1] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,2,1,2] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,2,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,2,3,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,2,3,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,3,3,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,4,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,2,1] => [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) => 10
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,1,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,1,2,1,2] => [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) => 6
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,3,1,1,1] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3] => ([],3) => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [4,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,2,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [4,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,3,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,4,1] => [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) => 12
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2,2] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,5,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,2,1] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,4,2,1] => [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) => 14
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,6,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2,2] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,4,4] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,5,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,6,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,1,3] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,1,3,1,2] => [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) => 18
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,2,1,1,1] => [1,3,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,2,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,3,2,2] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,3,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,4,1,1,1] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2,2] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3,3] => [1,3] => ([(2,3)],4) => 0
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,3,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,4,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,5,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,5,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,6,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,7,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,1,3] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,1,1,3,1] => [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) => 12
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,1,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,1,5] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,1,4,1,2] => [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) => 6
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,6,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,2,1,1,2,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,2,1,1,1,1] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,2,1,2,1] => [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) => 14
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,2,1,1] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [5] => ([],5) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,2,3,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,2,3,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3,3] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,3,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [2,4,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,4,4] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [2,6,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,1,2] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,1,2,1] => [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) => 12
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,2,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,3,2,2] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,1,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [4,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [4,3,3] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [4,4,1,1] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [4,4,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [5,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [5,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [5,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [6,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [6,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [6,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [7,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,1,3] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,1,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,4,1] => [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) => 12
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,4] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,4,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,3,1,1] => [4,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,5] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,3,2] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [4,2,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,4,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,1,2] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,2,1] => [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) => 10
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [9,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [4,1,2,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,4,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,5,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,3,1] => [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) => 12
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,7,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,3,1,1,1,2] => [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) => 6
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,4,1,1,1,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [5,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,4,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,3,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,3,4] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,6,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,3,1] => [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) => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,3,1] => [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) => 12
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,3,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,3,1] => [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) => 12
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [4,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [4,1,1,2,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,5,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,1,4] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,3,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,3,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2,2] => [1,5] => ([(4,5)],6) => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,4,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1] => [3,1,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,4] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,4,1,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,5,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,4,1,1,1,1] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,2,1,1,1] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,4] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,5,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,2,4,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,1,1,1] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [3,3,1,1,1] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,3,1,1,1] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1,1] => [1,1,5] => ([(4,5),(4,6),(5,6)],7) => 0
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,5,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,6,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,5,1,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,4,1,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,5,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,6,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,6,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,6,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,4,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,7,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,9,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,5] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,5,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,2,3,1,1] => [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) => 0
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,4,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,1,5] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,5,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,4,1,1,1,1] => [2,1,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,5,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,6,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [6,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [4,1,1,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [5,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [3,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [4,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,6,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,4,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,4,1,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,5,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,4,1] => [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) => 12
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,3,3] => [3] => ([],3) => 0
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,2,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,2,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,2,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,5] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,1,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,1,4] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,5] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,2,4] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,2,3] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,5,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,4,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,2,4,1,1] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [1,6] => ([(5,6)],7) => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,6,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,4,1,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,5] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,6,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,6,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,2,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,1,5] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,4,2] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,4,2] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,4,2] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,4,2] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,4,2,1] => [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) => 14
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,5,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,5,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,5,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,5,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,4,2,1] => [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) => 14
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,6,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,1,3,1] => [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) => 10
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,1,3,1] => [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) => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,3,1] => [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) => 16
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,1,1,2,1] => [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) => 12
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3] => [3] => ([],3) => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,4,3] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,4,4] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,4,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,2,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,4,4] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [6] => ([],6) => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2,2] => [1,4] => ([(3,4)],5) => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2,2] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,2,4,2,2] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,2,6,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,2,4,2] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,2,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [6,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,4,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 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] => [6,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,6,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,2,2,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [6,6] => [2] => ([],2) => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [6,6] => [2] => ([],2) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,2,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [6,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 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] => [2,4,2,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [6,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,6,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,2,4,4] => [2,2] => ([(1,3),(2,3)],4) => 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] => [4,4,4] => [3] => ([],3) => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,6,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [6,6] => [2] => ([],2) => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [6,6] => [2] => ([],2) => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,9,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,9] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2,2] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [9,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,1,6] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,6,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,2,1] => [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) => 6
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,1,6] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,2,1,6] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,4,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,1,4,1] => [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) => 6
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,5,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,4,1,3,1] => [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) => 6
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,1,6] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,6,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,2,1] => [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) => 6
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,2,1,6] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,8,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,8,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,8,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,8,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,8,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,8,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,1,3] => [1,1,4,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,1,4] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,4,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,5,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,7,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,2,5] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [6,1,1,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [6,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [6,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,3,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,4,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,6,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [3,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,6,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [3,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [3,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [3,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [5,1,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,2,2] => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,4] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [4,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,2] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,4,2] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,6] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,4,2,2] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,4,4] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,6,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,6,2] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2,2] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,4,2,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,4,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,6,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [2,6,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2,2] => [1,4] => ([(3,4)],5) => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [4,2,2,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [4,2,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4,4] => [3] => ([],3) => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [4,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [6,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[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] => [2] => ([],2) => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [6,6] => [2] => ([],2) => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [6,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [6,6] => [2] => ([],2) => 0
[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] => [2] => ([],2) => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,6,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,5,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,4,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,6,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [10,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,5,1,1] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,3,1,1,2] => [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) => 6
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,4,3] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,2,6] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,2,6] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,5,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [4,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,7,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,7,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [6,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [6,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [6,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [6,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [6,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [6,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,11] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,4,1,1,1,1] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,3,1,1,1,1] => [1,1,1,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 0
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,2,1] => [1,5,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,4,4] => [1,2] => ([(1,2)],3) => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,6] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,4] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,6] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,9] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,4] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,1,4] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,4,2,2] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,6,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [3,1,1,4] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,8,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,1,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [4,4,1,1] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,5,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [4,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [5,5] => [2] => ([],2) => 0
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [6,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [6,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,1,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [5,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,4,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [3,1,2,1,5] => [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) => 6
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,1,3,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4,4] => [3] => ([],3) => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [4,3,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [7,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,5,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [7,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [6,6] => [2] => ([],2) => 0
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [6,6] => [2] => ([],2) => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [7,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [9,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [9,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1,3] => [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) => 14
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,6,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,6,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1] => [1,3] => ([(2,3)],4) => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1] => [1,4] => ([(3,4)],5) => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1] => [1,5] => ([(4,5)],6) => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,5,5] => [1,2] => ([(1,2)],3) => 0
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [8,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [7,1,1] => [1,2] => ([(1,2)],3) => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,2,6] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [3,4,4] => [1,2] => ([(1,2)],3) => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,4] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,1,3,1] => [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) => 10
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,1,3,1] => [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) => 12
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,3,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,1,2,1] => [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) => 12
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,3,5] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 1
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,7] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,2,4] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,1,2,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [5,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [5,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,7,1] => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,5,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,3,1] => [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) => 6
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,3,3,1] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,6,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,5,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,5,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,5,5] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,2,2,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,1,3,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,6,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,5,2,3,1] => [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) => 6
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,2,3,1] => [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) => 12
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [3,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [3,5,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [3,3,2,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [5,3,3,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [5,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [5,3,3,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [5,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [5,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,5,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,4,1] => [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) => 12
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,5,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,6,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [8,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 0
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [9,1] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 1
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,2,1,1,3] => [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) => 6
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2] => [1,2] => ([(1,2)],3) => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [1,3] => ([(2,3)],4) => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,1] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,5,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,4,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,4,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,1,1,3] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,4,4] => [1,2] => ([(1,2)],3) => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,1,4] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,1,4] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,2,5] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,4,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,2,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,2,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,4,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,2,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,2,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,2,2,5] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,2,4,3] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,2,3] => [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) => 6
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,2,9] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,2,9] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,2,9] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,2,9] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,9] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,4,2,2,3] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,4,4,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,8,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,2,2,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,2,4,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,2,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,2,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,4,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [3,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [3,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,2,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [5,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,2,3] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [5,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 2
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,9] => [1,1] => ([(0,1)],2) => 1
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,8] => [1,1] => ([(0,1)],2) => 1
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searching the database for the individual values of this statistic
Description
The normalized isoperimetric number of a graph.
The isoperimetric number, or Cheeger constant, of a graph $G$ is
$$ i(G) = \min\left\{\frac{|\partial A|}{|A|}\ : \ A\subseteq V(G), 0 < |A|\leq |V(G)|/2\right\}, $$
where
$$ \partial A := \{(x, y)\in E(G)\ : \ x\in A, y\in V(G)\setminus A \}. $$
This statistic is $i(G)\cdot\lfloor n/2\rfloor$.
The isoperimetric number, or Cheeger constant, of a graph $G$ is
$$ i(G) = \min\left\{\frac{|\partial A|}{|A|}\ : \ A\subseteq V(G), 0 < |A|\leq |V(G)|/2\right\}, $$
where
$$ \partial A := \{(x, y)\in E(G)\ : \ x\in A, y\in V(G)\setminus A \}. $$
This statistic is $i(G)\cdot\lfloor n/2\rfloor$.
Map
touch composition
Description
Sends a Dyck path to its touch composition given by the composition of lengths of its touch points.
Map
delta morphism
Description
Apply the delta morphism to an integer composition.
The delta morphism of a composition $C$ is the compositions composed of the lengths of consecutive runs of the same integer in $C$.
The delta morphism of a composition $C$ is the compositions composed of the lengths of consecutive runs of the same integer in $C$.
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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