Identifier
-
Mp00102:
Dyck paths
—rise composition⟶
Integer compositions
Mp00133: Integer compositions —delta morphism⟶ Integer compositions
Mp00184: Integer compositions —to threshold graph⟶ Graphs
St001645: Graphs ⟶ ℤ
Values
[1,0] => [1] => [1] => ([],1) => 1
[1,1,0,0] => [2] => [1] => ([],1) => 1
[1,0,1,1,0,0] => [1,2] => [1,1] => ([(0,1)],2) => 2
[1,1,0,0,1,0] => [2,1] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0] => [2,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,0] => [3] => [1] => ([],1) => 1
[1,0,1,0,1,1,0,0] => [1,1,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,0,1,1,0,0,1,0] => [1,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,0,0] => [1,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,0,0] => [1,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,0,1,0] => [3,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,1,0,0] => [3,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,0,0,0] => [3,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,0] => [4] => [1] => ([],1) => 1
[1,0,1,0,1,1,1,0,0,0] => [1,1,3] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,0,1,1,1,0,0,0,1,0] => [1,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,0,1,0,0] => [1,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,1,0,0,0] => [1,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,0,0,0] => [1,4] => [1,1] => ([(0,1)],2) => 2
[1,1,0,0,1,0,1,1,0,0] => [2,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,0,0,1,0] => [2,2,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,0,1,1,0,1,0,0] => [2,2,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,0,1,1,1,0,0,0] => [2,3] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0,1,1,0,0] => [2,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,1,1,0,0,0] => [2,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,0,0,0,1,0] => [2,2,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,0,0,1,0,0] => [2,2,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,0,1,0,0,0] => [2,2,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,1,0,0,0,0] => [2,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,0,1,1,0,0] => [3,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,1,1,0,0,0] => [3,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,1,0,0,0,0] => [3,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,0,1,0] => [4,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,1,0,0] => [4,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,1,0,0,0] => [4,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,1,0,0,0,0] => [4,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,0] => [5] => [1] => ([],1) => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [2,1] => ([(0,2),(1,2)],3) => 4
[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
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,5] => [1,1] => ([(0,1)],2) => 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] => [2,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,4] => [1,1] => ([(0,1)],2) => 2
[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) => 3
[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) => 3
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,0] => [6] => [1] => ([],1) => 1
[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
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [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
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [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
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5] => [2,1] => ([(0,2),(1,2)],3) => 4
[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) => 5
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [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) => 5
>>> Load all 1525 entries. <<<[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
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [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] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [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) => 5
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [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) => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [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) => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [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) => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [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) => 5
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6] => [1,1] => ([(0,1)],2) => 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] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,2,3] => [2,1] => ([(0,2),(1,2)],3) => 4
[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) => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,2,3] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,3] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,5] => [1,1] => ([(0,1)],2) => 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] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,3,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4] => [1,1] => ([(0,1)],2) => 2
[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) => 3
[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) => 3
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7] => [1] => ([],1) => 1
[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) => 6
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [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) => 6
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [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) => 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) => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [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) => 6
[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
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [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] => [1,1,2,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [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
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [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) => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [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) => 6
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [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
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [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) => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [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) => 6
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [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) => 6
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [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
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [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
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [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
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [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
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [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
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [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] => [1,1,3,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [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
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [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
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [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
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [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
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [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
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [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
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [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
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [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
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [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
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [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
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [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
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [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
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6] => [2,1] => ([(0,2),(1,2)],3) => 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) => 5
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [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) => 5
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [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) => 5
[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
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [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] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [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) => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [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) => 5
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [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) => 5
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [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) => 5
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [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) => 5
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [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) => 5
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [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) => 5
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,2,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 5
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [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) => 5
[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
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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) => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [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) => 5
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [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) => 5
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [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) => 5
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [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) => 5
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [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) => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [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) => 5
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [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) => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [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) => 5
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [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) => 5
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [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) => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [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) => 5
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [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) => 5
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [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) => 5
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7] => [1,1] => ([(0,1)],2) => 2
[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) => 5
[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
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [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) => 5
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [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) => 5
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [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] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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] => [2,2,1,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [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
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [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
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [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
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [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
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [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
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 4
[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] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [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) => 5
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [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) => 5
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [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) => 5
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [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) => 5
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [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) => 5
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [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) => 5
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [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) => 5
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [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) => 5
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [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) => 5
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,1,2,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [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
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [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
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [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
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [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
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [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
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [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
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [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
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [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
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [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
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [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
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [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
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [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
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [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
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [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
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [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
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,4] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,6] => [1,1] => ([(0,1)],2) => 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] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 4
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[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) => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [3,3,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [3,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,5] => [1,1] => ([(0,1)],2) => 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] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[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) => 3
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [5,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [5,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [6,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [7,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [7,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [7,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8] => [1] => ([],1) => 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) => 2
[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) => 2
[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) => 2
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 2
[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) => 2
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 2
[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) => 2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,9,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,9,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,8,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,10,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,9,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,5,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,4,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,6,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,5,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,7,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 2
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,6,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,6,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,3,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 2
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,4,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,6,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,4,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,5,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,4,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,7] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,3,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 2
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [2,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,5,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,5,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 2
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,4,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,3,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,2,6,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,8] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,3,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,1,1,2,1,2] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,1,1,2,1,2] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,1,2,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,1,2,1,3] => [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) => 5
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,1,2,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,1,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,1,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [2,2,1,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,5] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [2,2,1,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [2,2,5] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [2,3,1,2,1] => [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) => 5
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [2,3,1,2,1] => [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) => 5
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [2,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [2,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,7] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,2,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [3,2,1,2,1] => [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) => 5
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [3,2,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [3,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,6] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [4,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [4,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [4,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [4,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [4,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [4,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,5] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [5,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [6,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [7,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [8,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [8,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [8,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [8,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [8,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [8,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9] => [1] => ([],1) => 1
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,3,1,2] => [3,1,1,1] => ([(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) => 6
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,3,2,1] => [3,1,1,1] => ([(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) => 6
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,3,1,2] => [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) => 7
[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) => 7
[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) => 7
[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) => 6
[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
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [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) => 3
[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
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[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) => 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) => 4
[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) => 3
[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) => 3
[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) => 3
[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) => 5
[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) => 3
[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) => 3
[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) => 3
[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) => 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) => 3
[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) => 3
[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) => 3
[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) => 4
[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) => 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) => 3
[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) => 3
[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) => 2
[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) => 3
[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) => 3
[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) => 2
[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) => 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) => 6
[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) => 3
[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) => 3
[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) => 3
[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) => 5
[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) => 3
[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) => 6
[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
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[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
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,4] => [2,1] => ([(0,2),(1,2)],3) => 4
[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) => 3
[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) => 3
[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) => 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
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 4
[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) => 3
[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) => 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) => 3
[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) => 3
[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) => 3
[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) => 3
[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) => 2
[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) => 3
[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) => 3
[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) => 2
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10] => [1] => ([],1) => 1
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [9,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,8] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,5] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [3,4,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [4,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [9,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [6,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,2,1,2] => [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) => 7
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [2,3,1,2,1] => [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) => 5
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,2,1,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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) => 6
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,3,1,2] => [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) => 5
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,1,7] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 2
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,3,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,1,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,2,2,1,2,1] => [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) => 6
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,2,2,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,2,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,3,1,3,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,3,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,4,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [2,1,2,3,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [2,1,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,2,1,3,1,2,1] => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,1,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [2,2,2,2,1,2,1] => [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) => 7
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,3,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [3,1,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,2,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,1,2,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [11] => [1] => ([],1) => 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) => 2
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,9] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [11,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [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
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [2,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,9,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,2,1,3] => [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) => 5
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,7] => [1,1] => ([(0,1)],2) => 2
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [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
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [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
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [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
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [4,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,1,4,1] => [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) => 5
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,2,3,1] => [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) => 6
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [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
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,4,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,1,5] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,1,6] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,5,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[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) => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [4,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,2,1,3] => [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) => 7
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [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) => 5
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [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) => 5
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,2,3,1] => [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) => 6
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [7,3] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [6,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,6,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,7,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [6,4] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [5,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,6] => [1,1] => ([(0,1)],2) => 2
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,3,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,4,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [5,3,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,2,3,2,1] => [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) => 5
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,2,3,2,1] => [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) => 5
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,3,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [6,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,1,1,3,2,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,3,2,1] => [3,1,1,1] => ([(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) => 6
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [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) => 6
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,3,1,2] => [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) => 5
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [3,2,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,2,1,2] => [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) => 7
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,5,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [2,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,6,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,1,3,2] => [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) => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,2,3,1,2] => [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) => 5
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,3,1,2] => [3,1,1,1] => ([(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) => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,3,1,2] => [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) => 7
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [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
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [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
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,3,1,2,1] => [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) => 7
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,2,1,3] => [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) => 5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,3,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,3,1,3] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,5,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,4,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,1,4] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,3,1,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,3,1,2] => [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) => 5
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,1,2,1,2] => [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) => 5
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,3,2,1,2] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,1,2,3,1] => [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) => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,3,1] => [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) => 5
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,1,3,1] => [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) => 5
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,4,1,2,1] => [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) => 5
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [3,3,1,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,2,1,2,1] => [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) => 5
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,3,2,1] => [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) => 5
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2,3,1,2] => [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) => 6
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,1,1,3,1,2] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,2,1,2,1,2] => [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) => 6
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,3,2,1,2] => [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) => 6
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,3,2,1] => [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) => 6
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [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) => 5
[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) => 2
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,4,1] => [2,1] => ([(0,2),(1,2)],3) => 4
[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) => 4
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [11,1] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [2,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [11,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [2,6,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,6,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,1,4,1] => [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) => 5
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,1,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [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) => 5
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [5,1,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,4,1,2,1] => [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) => 5
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [6,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,4,1,2,1] => [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) => 5
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,1,3,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,2,1,3,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [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) => 6
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,2,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,1,3,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,1,3,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,2,1,2,3,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,3,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,2,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,3,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,2,2,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,2,1,2,1,3] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,1,2,1,3,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,2,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,1,3,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,2,2,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,1,2,3,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [3,2,1,2,1] => [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) => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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) => 6
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [2,4,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [6,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [9,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [9,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [3,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,2,3,1,2] => [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) => 5
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,2,3,1] => [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) => 6
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,3,2,1,2] => [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) => 5
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [2,2,3,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,1,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,1,3,2,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,2,1,3,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [2,2,2,2,1,2,1] => [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) => 7
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,3,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,2,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,2,2,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,1,2,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,2,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,1,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,2,1,3,1,2,1] => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,1,3,1,2] => [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) => 5
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [2,3,4,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [2,3,2,1,2] => [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) => 5
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [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) => 6
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [2,5,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [2,4,1,2,1] => [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) => 5
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [2,2,3,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [3,1,3,2,1] => [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) => 5
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,1,4,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,2,3,1] => [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) => 5
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,2,1,3,1] => [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) => 5
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [4,3,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [5,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [4,2,1,2,1] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [4,3,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [3,2,1,3,1] => [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) => 5
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [6,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [2,3,2,4,1] => [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) => 5
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [2,3,4,2,1] => [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) => 5
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [2,3,5,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [2,2,2,1,2,1,2] => [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) => 7
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [2,4,2,3,1] => [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) => 5
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [2,2,3,2,1,2] => [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) => 6
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [2,2,5,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [3,1,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [4,2,1,2,1,2] => [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) => 6
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [4,5,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [3,2,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [5,4,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,2,1,2,1] => [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) => 5
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,1,3,2] => [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) => 5
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,1,3,2] => [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) => 5
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2,1,2] => [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) => 6
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,1,3,2] => [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) => 5
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,2,8] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [6,3,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,5,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [10,1] => [1,1] => ([(0,1)],2) => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,2,2,1,2,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,2,3,1,2] => [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) => 5
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,3,1,2,1] => [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) => 6
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,2,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,3,2,1] => [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) => 5
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,3,2,1] => [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) => 5
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,1,3] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,3,1,2,1] => [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) => 5
[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) => 4
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,3,1,2,1,2] => [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) => 6
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [2,2,1,2,1,2] => [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) => 6
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,1,2,1,2] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [2,2,2,1,2,1,2] => [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) => 7
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,2,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [4,4,2] => [2,1] => ([(0,2),(1,2)],3) => 4
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [5,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [9,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [11,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [10,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [3,2,1,2,1] => [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) => 5
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [2,8,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [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) => 5
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [2,4,1,2,1] => [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) => 5
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [3,1,2,3,1] => [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) => 5
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [4,1,2,1,2] => [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) => 5
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,6] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [5,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,3,5,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,2,6,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,2,3,2,1] => [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) => 5
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,3,1,2] => [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) => 5
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [4,2,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,2,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,8,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,7,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [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
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,2,3,2,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [4,2,1,2,1] => [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) => 5
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,1,2,3,1] => [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) => 5
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,2,1,2,1] => [2,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,4,3,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [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) => 5
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [2,1,2,3,2] => [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) => 5
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [2,3,2,1,2] => [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) => 5
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [2,4,3,2,1] => [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) => 5
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [2,3,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,2,3,2,1] => [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) => 5
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [4,1,1,2,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [3,1,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [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
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [5,1,2,3,1] => [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) => 5
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,3,4,3,1] => [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) => 5
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [3,1,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [3,1,4,3,1] => [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) => 5
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [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
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [2,3,2,3,2] => [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) => 5
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,1,3,2,1] => [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) => 5
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [2,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,2,3,2] => [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) => 5
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,2,3,2] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [2,2,1,4,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,3,1] => [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) => 5
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,1,3,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,1,3,2] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [3,1,3,2,1] => [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) => 5
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [2,4,1,2,1] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [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) => 5
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,4,1,2] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [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) => 5
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,1,4,1,2] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1,2,1] => [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) => 5
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [3,1,3,1,2] => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [3,2,1,3,1] => [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) => 5
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,3,1,2] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,3,1,2] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [8,2] => [1,1] => ([(0,1)],2) => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1,2,1] => [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) => 7
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [11,1] => [1,1] => ([(0,1)],2) => 2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [7,2,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [5,1,2,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [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) => 7
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,2,3,1] => [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) => 7
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [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) => 6
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,2,4,1] => [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) => 6
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,1,4,1] => [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) => 5
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,2,5,1] => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [2,4,3,1] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,1,3,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,4,1,2] => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [6,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [7,1,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [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) => 6
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,2,1] => [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) => 5
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,2,3,2,1] => [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) => 6
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,2,1,4,1] => [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) => 6
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,1,3,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,1,2,3,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [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) => 6
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,1,3,2,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,2,3,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,1,2,3,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,2,1,3,1] => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,1,2,3,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,2,1,3,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,3,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,4,1,2,1] => [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) => 6
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,1,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,4,1,2,1] => [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) => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,2,1,2,4,1] => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,2,1,2,3,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,4,1,3,1] => [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) => 7
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,4,1,3,1] => [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) => 7
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,3,2,1,3,1] => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,1,2,1,3,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,2,1,2,3,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,1,2,1,3,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,3,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [2,1,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,2,1,3,1,2,1] => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,1,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,1,4] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [5,1,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,4,1,2,1] => [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) => 5
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,2,3] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,5,2] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [3,6,1] => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,3,2,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,1,3,1,2,1] => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,2,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,3,1,3,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,3,2,2,1,2,1] => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,4,1,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,1,2,3,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,1,3,2,1,2,1] => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,2,1,3,1,2,1] => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,1,3,1,2,1] => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
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Generating function
$F_{1} = q$
Description
The pebbling number of a connected graph.
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.
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
rise composition
Description
Send a Dyck path to the composition of sizes of its rises.
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