Identifier
-
Mp00276:
Graphs
—to edge-partition of biconnected components⟶
Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St001586: Integer partitions ⟶ ℤ
Values
=>
Cc0020;cc-rep-0
Cc0002;cc-rep-1
Cc0002;cc-rep
([(0,2),(1,2)],3)=>[1,1]=>[1]=>0
([(1,3),(2,3)],4)=>[1,1]=>[1]=>0
([(0,3),(1,3),(2,3)],4)=>[1,1,1]=>[1,1]=>0
([(0,3),(1,2)],4)=>[1,1]=>[1]=>0
([(0,3),(1,2),(2,3)],4)=>[1,1,1]=>[1,1]=>0
([(0,3),(1,2),(1,3),(2,3)],4)=>[3,1]=>[1]=>0
([(2,4),(3,4)],5)=>[1,1]=>[1]=>0
([(1,4),(2,4),(3,4)],5)=>[1,1,1]=>[1,1]=>0
([(0,4),(1,4),(2,4),(3,4)],5)=>[1,1,1,1]=>[1,1,1]=>0
([(1,4),(2,3)],5)=>[1,1]=>[1]=>0
([(1,4),(2,3),(3,4)],5)=>[1,1,1]=>[1,1]=>0
([(0,1),(2,4),(3,4)],5)=>[1,1,1]=>[1,1]=>0
([(0,4),(1,4),(2,3),(3,4)],5)=>[1,1,1,1]=>[1,1,1]=>0
([(1,4),(2,3),(2,4),(3,4)],5)=>[3,1]=>[1]=>0
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[3,1,1]=>[1,1]=>0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[4,1]=>[1]=>0
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[3,1,1]=>[1,1]=>0
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5,1]=>[1]=>0
([(0,4),(1,3),(2,3),(2,4)],5)=>[1,1,1,1]=>[1,1,1]=>0
([(0,1),(2,3),(2,4),(3,4)],5)=>[3,1]=>[1]=>0
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[3,1,1]=>[1,1]=>0
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[3,3]=>[3]=>0
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5,1]=>[1]=>0
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[6,1]=>[1]=>0
([(3,5),(4,5)],6)=>[1,1]=>[1]=>0
([(2,5),(3,5),(4,5)],6)=>[1,1,1]=>[1,1]=>0
([(1,5),(2,5),(3,5),(4,5)],6)=>[1,1,1,1]=>[1,1,1]=>0
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(2,5),(3,4)],6)=>[1,1]=>[1]=>0
([(2,5),(3,4),(4,5)],6)=>[1,1,1]=>[1,1]=>0
([(1,2),(3,5),(4,5)],6)=>[1,1,1]=>[1,1]=>0
([(1,5),(2,5),(3,4),(4,5)],6)=>[1,1,1,1]=>[1,1,1]=>0
([(0,1),(2,5),(3,5),(4,5)],6)=>[1,1,1,1]=>[1,1,1]=>0
([(2,5),(3,4),(3,5),(4,5)],6)=>[3,1]=>[1]=>0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[3,1,1]=>[1,1]=>0
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[3,1,1,1]=>[1,1,1]=>0
([(0,5),(1,5),(2,4),(3,4)],6)=>[1,1,1,1]=>[1,1,1]=>0
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[4,1]=>[1]=>0
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[3,1,1]=>[1,1]=>0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[4,1,1]=>[1,1]=>0
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]=>[1]=>0
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[3,1,1,1]=>[1,1,1]=>0
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1,1]=>[1,1]=>0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[4,1,1]=>[1,1]=>0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6,1]=>[1]=>0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1,1]=>[1,1]=>0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,4),(2,3)],6)=>[1,1,1]=>[1,1]=>0
([(1,5),(2,4),(3,4),(3,5)],6)=>[1,1,1,1]=>[1,1,1]=>0
([(0,1),(2,5),(3,4),(4,5)],6)=>[1,1,1,1]=>[1,1,1]=>0
([(1,2),(3,4),(3,5),(4,5)],6)=>[3,1]=>[1]=>0
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[3,1,1]=>[1,1]=>0
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[3,1,1]=>[1,1]=>0
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]=>[1,1,1]=>0
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[3,3]=>[3]=>0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[3,3,1]=>[3,1]=>0
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[4,1,1]=>[1,1]=>0
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>[5,1]=>[1]=>0
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]=>[1]=>0
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>[3,1,1,1]=>[1,1,1]=>0
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6,1]=>[1]=>0
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1,1]=>[1,1]=>0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>[4,1]=>[1]=>0
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>[3,1,1]=>[1,1]=>0
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[4,1,1]=>[1,1]=>0
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>[3,1,1,1]=>[1,1,1]=>0
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>[3,1,1,1]=>[1,1,1]=>0
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]=>[1]=>0
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]=>[1,1,1]=>0
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>[4,3]=>[3]=>0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1,1]=>[1,1]=>0
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,1]=>[3,1]=>0
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,3]=>[3]=>0
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1,1]=>[1,1]=>0
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6,1]=>[1]=>0
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6,1,1]=>[1,1]=>0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6,1,1]=>[1,1]=>0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[8,1]=>[1]=>0
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6,1]=>[1]=>0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[8,1]=>[1]=>0
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>[6,1]=>[1]=>0
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1,1]=>[1,1]=>0
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[6,1]=>[1]=>0
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[7,1]=>[1]=>0
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[8,1]=>[1]=>0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[8,1]=>[1]=>0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[9,1]=>[1]=>0
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>[3,3]=>[3]=>0
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[5,1,1]=>[1,1]=>0
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>[3,3,1]=>[3,1]=>0
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6,1]=>[1]=>0
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,3]=>[3]=>0
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6,1,1]=>[1,1]=>0
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6,3]=>[3]=>0
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[8,1]=>[1]=>0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[9,1]=>[1]=>0
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[10,1]=>[1]=>0
([(4,6),(5,6)],7)=>[1,1]=>[1]=>0
([(3,6),(4,6),(5,6)],7)=>[1,1,1]=>[1,1]=>0
([(2,6),(3,6),(4,6),(5,6)],7)=>[1,1,1,1]=>[1,1,1]=>0
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(3,6),(4,5)],7)=>[1,1]=>[1]=>0
([(3,6),(4,5),(5,6)],7)=>[1,1,1]=>[1,1]=>0
([(2,3),(4,6),(5,6)],7)=>[1,1,1]=>[1,1]=>0
([(2,6),(3,6),(4,5),(5,6)],7)=>[1,1,1,1]=>[1,1,1]=>0
([(1,2),(3,6),(4,6),(5,6)],7)=>[1,1,1,1]=>[1,1,1]=>0
([(3,6),(4,5),(4,6),(5,6)],7)=>[3,1]=>[1]=>0
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(1,6),(2,6),(3,5),(4,5)],7)=>[1,1,1,1]=>[1,1,1]=>0
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1]=>[1]=>0
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[3,1,1]=>[1,1]=>0
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1]=>[1]=>0
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]=>[1]=>0
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1,1]=>[1,1]=>0
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(1,6),(2,5),(3,4)],7)=>[1,1,1]=>[1,1]=>0
([(2,6),(3,5),(4,5),(4,6)],7)=>[1,1,1,1]=>[1,1,1]=>0
([(1,2),(3,6),(4,5),(5,6)],7)=>[1,1,1,1]=>[1,1,1]=>0
([(0,3),(1,2),(4,6),(5,6)],7)=>[1,1,1,1]=>[1,1,1]=>0
([(2,3),(4,5),(4,6),(5,6)],7)=>[3,1]=>[1]=>0
([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[3,1,1]=>[1,1]=>0
([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3]=>[3]=>0
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,1]=>[3,1]=>0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[5,1]=>[1]=>0
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1]=>[1]=>0
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]=>[1]=>0
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,1]=>[1]=>0
([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,1,1]=>[1,1]=>0
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[4,1,1]=>[1,1]=>0
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1]=>[1,1]=>0
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1]=>[1]=>0
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[4,3]=>[3]=>0
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,1]=>[3,1]=>0
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[4,3,1]=>[3,1]=>0
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3]=>[3]=>0
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]=>[1]=>0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1,1]=>[1,1,1]=>0
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7,1]=>[1]=>0
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]=>[1]=>0
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[4,3,1]=>[3,1]=>0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,3]=>[3]=>0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[6,1,1]=>[1,1]=>0
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1,1]=>[1,1,1]=>0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[8,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]=>[1]=>0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)=>[6,1]=>[1]=>0
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]=>[1,1]=>0
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]=>[1]=>0
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[4,1,1]=>[1,1]=>0
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>[4,4]=>[4]=>0
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,1]=>[3,1]=>0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4]=>[4]=>0
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,5]=>[5]=>0
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1,1]=>[1,1]=>0
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7)=>[7,1]=>[1]=>0
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[7,1]=>[1]=>0
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[8,1]=>[1]=>0
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[8,1]=>[1]=>0
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[8,1]=>[1]=>0
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1,1]=>[1,1,1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1]=>[1]=>0
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(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)=>[12,1]=>[1]=>0
([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>[1,1,1,1,1]=>[1,1,1,1]=>0
([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>[3,1,1]=>[1,1]=>0
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,1]=>[3,1]=>0
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[3,3,3]=>[3,3]=>0
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[5,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>[3,1,1,1]=>[1,1,1]=>0
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]=>[1,1,1]=>0
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]=>[1]=>0
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[1,1,1,1]=>0
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[4,3,1]=>[3,1]=>0
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[5,3]=>[3]=>0
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,3]=>[3]=>0
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>[3,3]=>[3]=>0
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[1,1]=>0
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[3,3,1]=>[3,1]=>0
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[3,3,1]=>[3,1]=>0
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]=>[1]=>0
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,3]=>[3]=>0
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1,1]=>[1,1,1]=>0
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,3]=>[3]=>0
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,3,1]=>[3,1]=>0
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[8,1]=>[1]=>0
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[8,1]=>[1]=>0
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[6,3]=>[3]=>0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1,1]=>[1,1,1]=>0
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,3]=>[3,3]=>0
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,3,1]=>[3,1]=>0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,3]=>[3]=>0
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7,1]=>[1]=>0
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7)=>[7,1]=>[1]=>0
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[7,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>[9,1]=>[1]=>0
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1,1]=>[1,1]=>0
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[4,3,1]=>[3,1]=>0
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7,1]=>[1]=>0
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,3]=>[3]=>0
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[6,3]=>[3]=>0
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[8,3]=>[3]=>0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[8,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7)=>[8,1]=>[1]=>0
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7,1,1]=>[1,1]=>0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[8,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>[8,1]=>[1]=>0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1]=>[1]=>0
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7,3]=>[3]=>0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,3]=>[3]=>0
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1,1]=>[1,1]=>0
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[8,3]=>[3]=>0
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,3]=>[3]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[9,1]=>[1]=>0
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[9,1]=>[1]=>0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[8,1,1]=>[1,1]=>0
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>[4,3]=>[3]=>0
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1]=>[1,1]=>0
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>[3,3,1,1]=>[3,1,1]=>0
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3]=>[3]=>0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)=>[5,1,1,1]=>[1,1,1]=>0
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,4]=>[4]=>0
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1,1,1]=>[1,1,1]=>0
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,3,1]=>[3,1]=>0
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1,1,1]=>[1,1,1]=>0
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,4]=>[4]=>0
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,5]=>[5]=>0
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,3,1]=>[3,1]=>0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,5]=>[5]=>0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1,1]=>[1,1]=>0
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1,1]=>[1,1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,3),(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)=>[12,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[10,1]=>[1]=>0
([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[10,1]=>[1]=>0
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[9,1,1]=>[1,1]=>0
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[13,1]=>[1]=>0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[13,1]=>[1]=>0
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[11,1]=>[1]=>0
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[11,1]=>[1]=>0
([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[13,1]=>[1]=>0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[13,1]=>[1]=>0
([(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)=>[14,1]=>[1]=>0
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[5,3,1]=>[3,1]=>0
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,3]=>[3]=>0
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,5]=>[5]=>0
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,3,1]=>[3,1]=>0
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,5]=>[5]=>0
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,6]=>[6]=>0
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[11,1]=>[1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[8,3]=>[3]=>0
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,1,1]=>[1,1]=>0
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1]=>[1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[9,3]=>[3]=>0
([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,1,1]=>[1,1]=>0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[10,3]=>[3]=>0
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[12,1]=>[1]=>0
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[13,1]=>[1]=>0
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[14,1]=>[1]=>0
([(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)=>[15,1]=>[1]=>0
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Description
The number of odd parts smaller than the largest even part in an integer partition.
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first row removal
Description
Removes the first entry of an integer partition
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to edge-partition of biconnected components
Description
Sends a graph to the partition recording the number of edges in its biconnected components.
The biconnected components are also known as blocks of a graph.
The biconnected components are also known as blocks of a graph.
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