- FindStat

Identifier

Mp00274: Graphs —block-cut tree⟶ Graphs
Mp00324: Graphs —chromatic difference sequence⟶ Integer compositions
St000762: Integer compositions ⟶ ℤ

Values

([],2) => ([],2) => [2] => 1

([],3) => ([],3) => [3] => 1

([(1,2)],3) => ([],2) => [2] => 1

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

([],4) => ([],4) => [4] => 1

([(2,3)],4) => ([],3) => [3] => 1

([(1,3),(2,3)],4) => ([(1,3),(2,3)],4) => [3,1] => 1

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

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

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

([(1,2),(1,3),(2,3)],4) => ([],2) => [2] => 1

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

([],5) => ([],5) => [5] => 1

([(3,4)],5) => ([],4) => [4] => 1

([(2,4),(3,4)],5) => ([(2,4),(3,4)],5) => [4,1] => 1

([(1,4),(2,4),(3,4)],5) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

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

([(1,4),(2,3)],5) => ([],3) => [3] => 1

([(1,4),(2,3),(3,4)],5) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

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

([(2,3),(2,4),(3,4)],5) => ([],3) => [3] => 1

([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,4),(2,3),(2,4),(3,4)],5) => ([(1,3),(2,3)],4) => [3,1] => 1

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

([(1,3),(1,4),(2,3),(2,4)],5) => ([],2) => [2] => 1

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

([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([],2) => [2] => 1

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

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

([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

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

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

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

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

([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([],2) => [2] => 1

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

([],6) => ([],6) => [6] => 1

([(4,5)],6) => ([],5) => [5] => 1

([(3,5),(4,5)],6) => ([(3,5),(4,5)],6) => [5,1] => 1

([(2,5),(3,5),(4,5)],6) => ([(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(2,5),(3,4)],6) => ([],4) => [4] => 1

([(2,5),(3,4),(4,5)],6) => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => 1

([(1,2),(3,5),(4,5)],6) => ([(2,4),(3,4)],5) => [4,1] => 1

([(3,4),(3,5),(4,5)],6) => ([],4) => [4] => 1

([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(0,1),(2,5),(3,5),(4,5)],6) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(2,5),(3,4),(3,5),(4,5)],6) => ([(2,4),(3,4)],5) => [4,1] => 1

([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(2,4),(2,5),(3,4),(3,5)],6) => ([],3) => [3] => 1

([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [4,2] => 1

([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,3),(2,3)],4) => [3,1] => 1

([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],3) => [3] => 1

([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [5,2] => 1

([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([],2) => [2] => 1

([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(2,3)],6) => ([],3) => [3] => 1

([(0,1),(2,5),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(1,2),(3,4),(3,5),(4,5)],6) => ([],3) => [3] => 1

([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([],2) => [2] => 1

([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => 1

([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => ([],2) => [2] => 1

([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],3) => [3] => 1

([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

>>> Load all 673 entries. <<<

([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([],2) => [2] => 1

([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => ([],2) => [2] => 1

([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([],2) => [2] => 1

([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(1,2)],3) => [2,1] => 1

([],7) => ([],7) => [7] => 1

([(5,6)],7) => ([],6) => [6] => 1

([(4,6),(5,6)],7) => ([(4,6),(5,6)],7) => [6,1] => 1

([(3,6),(4,6),(5,6)],7) => ([(3,6),(4,6),(5,6)],7) => [6,1] => 1

([(2,6),(3,6),(4,6),(5,6)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

([(3,6),(4,5)],7) => ([],5) => [5] => 1

([(2,3),(4,6),(5,6)],7) => ([(3,5),(4,5)],6) => [5,1] => 1

([(4,5),(4,6),(5,6)],7) => ([],5) => [5] => 1

([(1,2),(3,6),(4,6),(5,6)],7) => ([(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(3,6),(4,5),(4,6),(5,6)],7) => ([(3,5),(4,5)],6) => [5,1] => 1

([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

([(3,5),(3,6),(4,5),(4,6)],7) => ([],4) => [4] => 1

([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => 1

([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => 1

([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],4) => [4] => 1

([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => 1

([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],3) => [3] => 1

([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [5,2] => 1

([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,6),(2,5),(3,4)],7) => ([],4) => [4] => 1

([(1,2),(3,6),(4,5),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => 1

([(0,3),(1,2),(4,6),(5,6)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(2,3),(4,5),(4,6),(5,6)],7) => ([],4) => [4] => 1

([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => 1

([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([],3) => [3] => 1

([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([],3) => [3] => 1

([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,4),(3,4)],6) => [4,2] => 1

([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [5,2] => 1

([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],4) => [4] => 1

([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => 1

([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(2,4),(3,4)],5) => [4,1] => 1

([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => 1

([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => 1

([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],3) => [3] => 1

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([],2) => [2] => 1

([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => 1

([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => 1

([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => 1

([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([],2) => [2] => 1

([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(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) => ([],2) => [2] => 1

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

([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => 1

([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => ([],3) => [3] => 1

([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => 1

([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => ([],2) => [2] => 1

([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

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

([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => ([],2) => [2] => 1

([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([],2) => [2] => 1

([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

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

([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

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

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

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

([(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) => ([],2) => [2] => 1

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

([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

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

([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 1

([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => 1

([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => 1

([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],3) => [3] => 1

([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(2,3)],4) => [3,1] => 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) => ([(0,3),(1,3),(2,3)],4) => [3,1] => 1

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

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 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) => ([],2) => [2] => 1

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

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

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

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

([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

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

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

([(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) => ([],2) => [2] => 1

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

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

([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

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

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(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) => ([],2) => [2] => 1

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

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],2) => [2] => 1

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

([(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) => ([],2) => [2] => 1

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

([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

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

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

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

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

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

([(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) => ([],2) => [2] => 1

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

([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

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

([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => 1

([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

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

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

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

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

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

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

([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],2) => [2] => 1

([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(1,2)],3) => [2,1] => 1

search for individual values

searching the database for the individual values of this statistic

Description

The sum of the positions of the weak records of an integer composition.
A weak record is an element

$a_i$ such that

$a_i \geq a_j$ for all

$j < i$ . This statistic is the sum of their positions.

Map

block-cut tree

Description

Sends a graph to its block-cut tree.
The block-cut tree has a vertex for each block and for each cut-vertex of the given graph, and there is an edge for each pair of block and cut-vertex that belongs to that block. A block is a maximal biconnected (or 2-vertex connected) subgraph. A cut-vertex is a vertex whose removal increases the number of connected components.

Map

chromatic difference sequence

Description

The chromatic difference sequence of a graph.
Let

$G$ be a simple graph with chromatic number

$\kappa$ . Let

$\alpha_m$ be the maximum number of vertices in a

$m$ -colorable subgraph of

$G$ . Set

$\delta_m=\alpha_m-\alpha_{m-1}$ . The sequence

$\delta_1,\delta_2,\dots\delta_\kappa$ is the chromatic difference sequence of

$G$ .
All entries of the chromatic difference sequence are positive:

$\alpha_m > \alpha_{m-1}$ for

$m < \kappa$ , because we can assign any uncolored vertex of a partial coloring with

$m-1$ colors the color

$m$ . Therefore, the chromatic difference sequence is a composition of the number of vertices of

$G$ into

$\kappa$ parts.