- FindStat

Identifier

Mp00152: Graphs —Laplacian multiplicities⟶ Integer compositions
Mp00039: Integer compositions —complement⟶ Integer compositions
Mp00315: Integer compositions —inverse Foata bijection⟶ Integer compositions
St000805: Integer compositions ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 2320 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

([(0,5),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

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

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

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

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

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

([(0,5),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => [1,1,4,1] => [4,1,1,1] => 1

([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,2,1,1] => [2,2,3] => [2,2,3] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [1,2,2,2] => [2,2,2,1] => [2,2,2,1] => 1

([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => [1,1,4,1] => [4,1,1,1] => 1

([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => [1,2,3,1] => [2,3,1,1] => 1

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,2,1,1] => [1,2,1,1,1,1] => 1

([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => [2,1,3,1] => [1,2,3,1] => 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) => [1,3,2,1] => [2,1,2,2] => [2,1,2,2] => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 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) => [2,2,1,2] => [1,2,3,1] => [2,3,1,1] => 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) => [1,1,2,1,1,1] => [3,4] => [3,4] => 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) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,2,1] => [2,1,2,2] => [2,1,2,2] => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [1,2,2,2] => [1,2,2,2] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,3),(0,4),(1,2),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(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) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => [2,2,2,1] => [2,2,2,1] => 1

([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => [3,3,1] => [3,3,1] => 1

([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => [2,4,1] => [2,4,1] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [2,1,1,1,2] => [1,5,1] => [5,1,1] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [3,1,1,2] => [1,1,4,1] => [4,1,1,1] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,2,1] => [5,2] => [5,2] => 1

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [1,2,2,2] => [1,2,2,2] => 1

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,2,1] => [1,1,3,2] => [3,1,1,2] => 2

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [2,3,2] => [1,2,1,2,1] => [1,2,2,1,1] => 1

([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 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) => [3,2,2] => [1,1,2,2,1] => [2,2,1,1,1] => 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) => [1,2,2,1,1] => [2,2,3] => [2,2,3] => 1

([(0,5),(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)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,5),(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) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,2,2,1] => [3,2,2] => [2,3,2] => 1

([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,5),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,1),(0,4),(0,6),(1,2),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(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) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => [3,1,3] => 2

([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,2),(0,6),(1,2),(1,4),(1,5),(2,3),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(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) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 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) => [4,1,2] => [1,1,1,3,1] => [3,1,1,1,1] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 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) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [1,2,4] => [1,2,4] => 1

([(0,1),(0,3),(0,5),(1,2),(1,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,2,1,2] => [2,1,1,1,2] => 2

([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,5),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,4),(0,5),(0,6),(1,3),(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) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => [2,2,3] => [2,2,3] => 1

([(0,4),(0,5),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,5] => [1,1,5] => 1

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,1,2,2,1] => [3,2,2] => [2,3,2] => 1

([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => [3,1,3] => 2

([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [2,4,1] => [1,2,1,1,2] => [1,2,1,1,2] => 2

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,2,2,1,1] => [2,2,3] => [2,2,3] => 1

([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,1),(0,2),(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) => [1,2,2,1,1] => [2,2,3] => [2,2,3] => 1

([(0,1),(0,2),(0,3),(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) => [2,1,3,1] => [1,3,1,2] => [1,3,1,2] => 2

([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [1,2,2,2] => [1,2,2,2] => 1

([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,2,1] => [1,1,3,2] => [3,1,1,2] => 2

([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,2,2] => [1,1,1,2,2] => 1

([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,2,2,1] => [2,2,1,1,1] => 1

([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(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) => [1,4,1,1] => [2,1,1,3] => [1,2,1,3] => 2

([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => [3,1,3] => 2

([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,2] => [1,1,1,3,1] => [3,1,1,1,1] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 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) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(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) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,3),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(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) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,1),(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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 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) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,1),(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) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,1),(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) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [1,2,4] => [1,2,4] => 1

([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => [4,3] => 1

([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,6),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(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) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(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) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,3,1,1] => [1,2,1,3] => [2,1,1,3] => 2

([(0,3),(0,4),(0,5),(0,6),(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) => [3,2,1,1] => [1,1,2,3] => [1,1,2,3] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [1,2,2,2] => [1,2,2,2] => 1

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => [3,2,2] => 1

([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,1,1] => [2,2,3] => [2,2,3] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [2,2,2,1] => [1,2,2,2] => [1,2,2,2] => 1

([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,1),(0,4),(0,5),(0,6),(1,3),(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) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(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) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,5] => [1,1,5] => 1

([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(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) => [2,1,1,1,1,1] => [1,6] => [1,6] => 1

([(0,2),(0,6),(1,3),(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) => [1,2,1,1,1,1] => [2,5] => [2,5] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => [3,4] => 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) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 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) => [1,4,1,1] => [2,1,1,3] => [1,2,1,3] => 2

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,1,1] => [1,2,1,3] => [2,1,1,3] => 2

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,2,3] => [1,1,2,3] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,4] => [1,1,1,4] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => [7] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => [2,1,4] => [2,1,4] => 2

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,1,1,1] => [1,2,4] => [1,2,4] => 1

([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [1,2,2,2] => [1,2,2,2] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,5] => [1,1,5] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,1,2,1,1] => [1,3,3] => [1,3,3] => 1

([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,2,1,2] => [2,1,1,1,2] => 2

([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(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) => [4,2,1] => [1,1,1,2,2] => [1,1,1,2,2] => 1

([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,3] => [1,1,1,1,3] => 1

([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,2] => [1,1,1,1,1,2] => 1

([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => [1,6,1] => [2,1,1,1,1,2] => [1,1,1,2,1,2] => 2

([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => [5,4] => 1

([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => [5,4] => 1

([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => [1,2,3,2] => [3,1,2,2] => 2

([(0,1),(0,4),(0,5),(0,7),(0,8),(1,2),(1,3),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [2,2,1,2,1,1] => [1,2,3,3] => [1,2,3,3] => 1

([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6)],8) => [3,3,1,1] => [1,1,2,1,3] => [2,1,1,1,3] => 2

([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) => [1,3,3,1,1] => [2,1,2,1,3] => [1,2,2,1,3] => 2

([(0,2),(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(1,2),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => [4,1,3] => 2

([(0,3),(0,6),(0,7),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,2),(0,3),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => [3,6] => 1

([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,3),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [2,1,2,2,1,1] => [1,3,2,3] => [3,1,2,3] => 2

([(0,2),(0,5),(1,3),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,3),(0,7),(1,2),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,8),(1,2),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(0,3),(0,4),(0,5),(1,2),(1,4),(1,7),(1,8),(2,3),(2,6),(2,8),(3,4),(3,6),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => [3,6] => 1

([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(2,8),(3,4),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,5),(0,7),(0,8),(1,2),(1,4),(1,6),(1,8),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,2,1,1,1,1] => [4,5] => [4,5] => 1

([(0,3),(0,4),(0,7),(1,2),(1,5),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => [3,6] => 1

([(0,1),(0,5),(0,7),(0,8),(1,4),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,8),(4,6),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [2,2,2,2,1] => [1,2,2,2,2] => [1,2,2,2,2] => 1

([(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(3,6),(3,8),(4,5),(4,7),(5,8),(6,7)],9) => [4,4,1] => [1,1,1,2,1,1,2] => [1,2,1,1,1,1,2] => 2

([(0,4),(0,5),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(0,4),(0,5),(1,2),(1,3),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [2,1,1,2,1,1,1] => [1,4,4] => [1,4,4] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,5),(0,8),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [1,2,1,1,2,1,1] => [2,4,3] => [4,2,3] => 2

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => [3,6] => 1

([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(0,4),(0,8),(1,3),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,7),(4,8),(5,7),(6,8),(7,8)],9) => [3,2,2,1,1] => [1,1,2,2,3] => [1,1,2,2,3] => 1

([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,4,2] => [1,2,1,1,2,1] => [1,1,2,2,1,1] => 1

([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,2] => [1,1,1,1,1,1,2] => 1

([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1

([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,5,1,1] => [2,1,1,1,3] => [1,1,2,1,3] => 2

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,1,1] => [1,2,1,1,3] => [1,2,1,1,3] => 2

([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => [2,1,1,3,1] => [1,1,2,3,1] => 1

([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => [2,1,1,2,2] => [1,2,1,2,2] => 2

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => [1,1,2,1,3] => [2,1,1,1,3] => 2

([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => [1,2,1,3,1] => [1,2,3,1,1] => 1

([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => [1,2,1,2,2] => [2,1,1,2,2] => 2

([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => [2,1,2,2,1] => [1,2,2,2,1] => 1

([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => [2,1,2,1,2] => [1,2,2,1,2] => 2

([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,5] => [1,1,2,1,1,1,1] => [1,1,1,2,1,1,1] => 1

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => 1

([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => [2,3,1,1,1] => 1

([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => [3,4,1] => 1

([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => [3,3,2] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => [1,1,2,2,2] => [1,1,2,2,2] => 1

([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => [2,2,2,1,1] => 1

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => [2,2,2,1,1] => [2,2,1,2,1] => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => [1,2,2,1,2] => [2,2,1,1,2] => 2

([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => [2,2,1,1,2] => [2,1,2,1,2] => 3

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1,1,4] => [1,1,1,1,4] => 1

([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,2] => [1,1,1,4,1] => [4,1,1,1,1] => 1

([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => [1,2,5] => [1,2,5] => 1

([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => [2,4,2] => [4,2,2] => 1

([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => [1,1,6] => 1

([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => [6,1,1] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,3] => [6,1,1] => [1,6,1] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => [1,5,2] => [5,1,2] => 2

([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => [5,2,1] => [5,2,1] => 1

([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => [5,1,2] => [1,5,2] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => [1,1,1,3,2] => [3,1,1,1,2] => 2

([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => [1,1,3,2,1] => [3,2,1,1,1] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => [1,3,2,1,1] => [1,3,2,1,1] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => [4,1,3] => 2

([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => [4,2,2] => [2,4,2] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => [1,1,3,1,2] => [1,3,1,1,2] => 2

([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => [1,3,1,2,1] => [3,1,2,1,1] => 2

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => [3,1,2,1,1] => [1,3,1,2,1] => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => [1,3,1,1,2] => [1,1,3,1,2] => 2

([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => [3,1,1,1,2] => [1,1,1,3,2] => 1

([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,1,3] => [1,1,1,1,1,3] => 1

([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,2] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1

([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => [1,2,1,4] => 2

([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => [1,2,1,4] => [2,1,1,4] => 2

([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => [2,1,4,1] => [1,2,4,1] => 1

([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => [2,1,3,2] => [2,3,1,2] => 2

([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,1,1] => [1,1,2,4] => [1,1,2,4] => 1

([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => [1,2,4,1] => [2,4,1,1] => 1

([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,3] => [2,4,1,1] => [2,1,4,1] => 2

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => [1,2,3,2] => [3,1,2,2] => 2

([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => [2,3,2,1] => [3,2,2,1] => 1

([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => [2,3,1,2] => [3,2,1,2] => 2

([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,5] => [1,1,1,5] => 1

([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,2] => [1,1,5,1] => [5,1,1,1] => 1

([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,3] => [1,5,1,1] => [1,5,1,1] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => [6,2] => [6,2] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,2,1] => [1,1,4,2] => [4,1,1,2] => 2

([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => [1,4,2,1] => [4,2,1,1] => 1

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,3] => [4,2,1,1] => [1,4,2,1] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => [1,4,1,2] => [1,4,1,2] => 2

([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => [4,1,2,1] => [4,1,2,1] => 2

([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,4,1] => [4,1,1,2] => [1,1,4,2] => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => 1

([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 1

([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => [2,1,2,3] => [2,1,2,3] => 2

([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => [1,1,2,2,1,1] => [2,1,2,1,1,1] => 2

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => [1,2,2,3] => [1,2,2,3] => 1

([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => [2,2,3,1] => 1

([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => 1

([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,1,1] => [1,1,3,3] => [1,1,3,3] => 1

([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => [1,3,3,1] => [3,3,1,1] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,3] => [3,3,1,1] => [3,1,3,1] => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => [1,3,2,2] => [1,3,2,2] => 1

([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => [3,2,2,1] => [2,3,2,1] => 1

([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => [3,2,1,2] => [2,1,3,2] => 2

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,1,2,1,2] => [2,1,1,1,1,2] => 2

([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => [1,1,2,1,2,1] => [1,2,2,1,1,1] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => [2,2,1,3] => 2

([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => [1,2,1,2,1,1] => [2,1,1,2,1,1] => 2

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => [1,3,1,3] => [3,1,1,3] => 2

([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => [3,1,3,1] => [1,3,3,1] => 1

([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => [3,1,2,2] => [1,2,3,2] => 1

([(3,7),(4,7),(5,7),(6,7)],8) => [1,3,4] => [2,1,2,1,1,1] => [1,2,1,1,2,1] => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => [1,1,2,1,1,2] => [1,2,1,1,1,2] => 2

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,4,1,1] => [3,1,1,3] => [1,3,1,3] => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,5,1] => [1,2,1,1,1,2] => [1,1,2,1,1,2] => 2

([],8) => [8] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => [1,3,1,1,2] => [1,1,3,1,2] => 2

([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => [2,1,2,1,2] => [1,2,2,1,2] => 2

([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => [6,2] => [6,2] => 1

([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => [3,3,2] => 1

([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => [6,2] => [6,2] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => [3,3,2] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => [4,1,3] => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => [1,4,1,2] => [1,4,1,2] => 2

([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => [1,2,3,2] => [3,1,2,2] => 2

([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => [4,1,3] => 2

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => [1,2,2,1,2] => [2,2,1,1,2] => 2

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => [1,4,1,2] => [1,4,1,2] => 2

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => [1,1,3,1,2] => [1,3,1,1,2] => 2

([(0,5),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => [3,3,2] => 1

([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => [1,2,1,2,2] => [2,1,1,2,2] => 2

([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => [1,3,1,3] => [3,1,1,3] => 2

([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => [1,1,2,2,2] => [1,1,2,2,2] => 1

([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => [2,2,1,3] => 2

([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => [4,1,3] => 2

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => [4,1,3] => 2

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => [1,3,2,2] => [1,3,2,2] => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => [1,1,2,1,1,2] => [1,2,1,1,1,2] => 2

([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => [4,1,3] => 2

([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => [1,2,1,4] => [2,1,1,4] => 2

([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => [1,1,6] => 1

([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => 1

([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => [1,1,6] => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,5] => [1,1,1,5] => 1

([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => [1,7] => 1

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => [1,1,6] => 1

([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => [1,2,1,4] => [2,1,1,4] => 2

([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => [1,1,2,2,2] => [1,1,2,2,2] => 1

([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => 1

([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [3,4,1] => [1,1,2,1,1,2] => [1,2,1,1,1,2] => 2

([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => [2,1,1,2,2] => [1,2,1,2,2] => 2

([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => 1

([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(4,7),(5,6)],8) => [2,6] => [1,2,1,1,1,1,1] => [1,1,1,1,2,1,1] => 1

([(4,7),(5,6),(6,7)],8) => [1,1,1,5] => [4,1,1,1,1] => [1,1,1,4,1] => 1

([(4,6),(4,7),(5,6),(5,7)],8) => [1,2,5] => [2,2,1,1,1,1] => [1,1,2,1,2,1] => 2

([(2,7),(3,7),(4,6),(5,6)],8) => [2,2,4] => [1,2,2,1,1,1] => [1,2,1,2,1,1] => 2

([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,3] => [6,1,1] => [1,6,1] => 1

([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,3] => [3,1,2,1,1] => [1,3,1,2,1] => 2

([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => [3,1,3,1] => [1,3,3,1] => 1

([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,4] => [5,1,1,1] => [1,1,5,1] => 1

([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,3] => [2,1,1,2,1,1] => [2,1,1,1,2,1] => 2

([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,2] => [2,2,1,2,1] => [2,1,2,2,1] => 2

([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => [4,1,2,1] => [4,1,2,1] => 2

([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => [1,3,1,2,1] => [3,1,2,1,1] => 2

([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,2,2] => [2,1,2,2,1] => [1,2,2,2,1] => 1

([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [1,1,1,2,1,1,1] => [1,1,2,1,1,1,1] => 1

([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,4] => [1,1,3,1,1,1] => [1,1,3,1,1,1] => 1

([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,3] => [3,3,1,1] => [3,1,3,1] => 2

([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,3] => [6,1,1] => [1,6,1] => 1

([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => [2,1,3,1,1] => [2,1,1,3,1] => 2

([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => [3,1,3,1] => [1,3,3,1] => 1

([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => [2,2,3,1] => 1

([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => [1,1,4,1,1] => [1,4,1,1,1] => 1

([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,3] => [1,2,1,2,1,1] => [2,1,1,2,1,1] => 2

([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,2,1,2,2] => [2,3,2,1] => [3,2,2,1] => 1

([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => [3,4,1] => 1

([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => [6,1,1] => 1

([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => [1,2,1,1,2,1] => [1,1,2,2,1,1] => 1

([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => [1,3,1,2,1] => [3,1,2,1,1] => 2

([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => [1,1,3,2,1] => [3,2,1,1,1] => 1

([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => [1,1,2,2,1,1] => [2,1,2,1,1,1] => 2

([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => [2,1,4,1] => [1,2,4,1] => 1

([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => [2,3,1,1,1] => 1

([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => [6,1,1] => 1

([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => [2,2,2,1,1] => 1

([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 1

([(0,7),(1,6),(2,5),(3,4)],8) => [4,4] => [1,1,1,2,1,1,1] => [1,1,2,1,1,1,1] => 1

([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [1,4,3] => [2,1,1,2,1,1] => [2,1,1,1,2,1] => 2

([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => [1,2,1,2,1,1] => [2,1,1,2,1,1] => 2

([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => [1,3,3,1] => [3,3,1,1] => 1

([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => [3,1,3,1] => [1,3,3,1] => 1

([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,1,2] => [2,1,1,3,1] => [1,1,2,3,1] => 1

([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => [2,2,3,1] => 1

([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => [2,3,1,1,1] => 1

([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,2,3,1] => [1,2,2,1,2] => [2,2,1,1,2] => 2

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,3,1] => [5,1,2] => [1,5,2] => 1

([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,4,1] => [4,1,1,2] => [1,1,4,2] => 1

([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => [3,1,1,1,2] => [1,1,1,3,2] => 1

([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => [2,2,1,1,2] => [2,1,2,1,2] => 3

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => [1,6,1] => [2,1,1,1,1,2] => [1,1,1,2,1,2] => 2

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,4,1,1,1] => [2,1,1,4] => [1,2,1,4] => 2

([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => [1,1,2,1,2,1] => [1,2,2,1,1,1] => 1

([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => [2,4,2] => [1,2,1,1,2,1] => [1,1,2,2,1,1] => 1

([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 1

([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,2,4,1] => [2,2,1,1,2] => [2,1,2,1,2] => 3

([(2,7),(3,5),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,3] => [7,1,1] => [1,7,1] => 1

([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => [1,1,2,2,1,1] => [2,1,2,1,1,1] => 2

([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => [2,2,2,1,1] => 1

([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => [2,3,1,1,1] => 1

([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => [2,2,3,1] => 1

([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,2] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1

([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,4,1,1] => [1,2,1,1,3] => [1,2,1,1,3] => 2

([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => 1

([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => [2,2,1,1,2] => [2,1,2,1,2] => 3

([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,4,1,1] => [3,1,1,3] => [1,3,1,3] => 2

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,4,2,1] => [2,1,1,2,2] => [1,2,1,2,2] => 2

([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8) => [1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => 1

([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => [1,1,1,1,1,4] => [6,1,1,1] => [1,1,6,1] => 1

([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,1,1,4] => [6,1,1,1] => [1,1,6,1] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => [1,2,1,2,2] => [2,1,1,2,2] => 2

([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => [3,3,2] => [3,3,2] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,4,1,1] => [3,1,1,3] => [1,3,1,3] => 2

([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => [3,2,1,2] => [2,1,3,2] => 2

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,2] => [1,1,5,1] => [5,1,1,1] => 1

([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,1,1,2] => [1,1,1,4,1] => [4,1,1,1,1] => 1

([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [5,1,2] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 1

([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,2,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 1

([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => [2,1,2,1,2] => [1,2,2,1,2] => 2

([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => 1

([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => [3,2,1,2] => [2,1,3,2] => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,5,1] => [3,1,1,1,2] => [1,1,1,3,2] => 1

([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => [2,2,2,1,1] => 1

([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => [1,2,2,2,1] => [2,2,2,1,1] => 1

([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [2,4,2] => [1,2,1,1,2,1] => [1,1,2,2,1,1] => 1

([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => [2,2,1,2,1] => [2,1,2,2,1] => 2

([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8) => [1,3,3,1] => [2,1,2,1,2] => [1,2,2,1,2] => 2

([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,4,2] => [3,1,1,2,1] => [3,1,1,2,1] => 2

([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => [3,4,1] => [3,4,1] => 1

([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => [3,4,1] => 1

([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,4,2] => [3,1,1,2,1] => [3,1,1,2,1] => 2

([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => [2,1,2,2,1] => [1,3,2,2] => [1,3,2,2] => 1

([(0,7),(0,8),(1,5),(1,6),(2,3),(2,4),(3,6),(3,8),(4,5),(4,7),(5,8),(6,7)],9) => [1,2,1,2,2,1] => [2,3,2,2] => [2,3,2,2] => 1

([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,1,2,1] => [2,4,2] => [4,2,2] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(2,3),(2,6),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,8),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,8),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,8),(4,6),(5,6),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,3),(0,7),(0,8),(1,2),(1,5),(1,6),(2,7),(2,8),(3,5),(3,6),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7)],9) => [1,1,1,1,2,1,1,1] => [5,4] => [5,4] => 1

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(0,8),(1,5),(1,6),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7)],9) => [1,2,2,1,2,1] => [2,2,3,2] => [3,2,2,2] => 1

([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(0,8),(1,6),(1,8),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,8),(6,7),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => [3,3,2] => 1

([(0,5),(0,7),(0,8),(1,4),(1,6),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => [5,4] => 1

([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,7),(3,5),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,6),(0,7),(1,2),(1,3),(1,8),(2,5),(2,7),(3,4),(3,6),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,5),(0,8),(1,4),(1,7),(2,3),(2,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,2,1,1,1,1] => [4,5] => [4,5] => 1

([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,4),(2,6),(3,5),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => [5,4] => 1

([(0,7),(0,8),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,8),(5,7),(5,8),(6,7),(6,8)],9) => [2,2,2,2,1] => [1,2,2,2,2] => [1,2,2,2,2] => 1

([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => [3,3,2] => 1

([(0,7),(0,8),(1,6),(1,8),(2,5),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => [1,1,2,1,1,2,1] => [3,4,2] => [3,4,2] => 1

([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,4),(0,6),(0,7),(1,5),(1,7),(1,8),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(4,5),(4,8),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,8),(4,5),(4,8),(5,7),(6,7),(7,8)],9) => [1,2,1,1,2,1,1] => [2,4,3] => [4,2,3] => 2

([(0,7),(0,8),(1,4),(1,6),(1,7),(2,3),(2,6),(2,8),(3,5),(3,7),(4,5),(4,8),(5,6),(5,8),(6,7),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,8),(4,5),(4,8),(5,6),(5,7),(6,7),(7,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => [5,4] => 1

([(0,1),(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(0,8),(1,5),(1,7),(1,8),(2,4),(2,5),(2,8),(3,4),(3,6),(3,7),(4,7),(4,8),(5,6),(5,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(7,8)],9) => [1,2,2,3,1] => [2,2,2,1,2] => [2,2,2,1,2] => 2

([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,3] => [3,3,1,1] => [3,1,3,1] => 2

([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => [1,4,2,1] => [4,2,1,1] => 1

([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => [2,3,2,1] => [3,2,2,1] => 1

([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => [6,1,1] => 1

([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => [3,4,1] => [3,4,1] => 1

([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => [3,2,2,1] => [2,3,2,1] => 1

([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => [2,3,2,1] => [3,2,2,1] => 1

([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,7),(1,3),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => [2,1,2,2,1] => [1,2,2,2,1] => 1

([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => [1,3,1,2,1] => [3,1,2,1,1] => 2

([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => [2,3,1,1,1] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => [6,2] => [6,2] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => [2,1,2,3] => [2,1,2,3] => 2

([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,2] => [1,2,1,1,2,1] => [1,1,2,2,1,1] => 1

([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,1,1] => [2,2,1,3] => [2,2,1,3] => 2

([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,4,1] => [2,2,1,1,2] => [2,1,2,1,2] => 3

([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => [2,1,3,1,1] => [2,1,1,3,1] => 2

([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => [3,4,1] => 1

([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,3),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => [2,2,2,1,1] => [2,2,1,2,1] => 2

([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => [7,1] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => 1

([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => [2,4,2] => [4,2,2] => 1

([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,6),(1,5),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => [2,2,1,3] => 2

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,4,1] => [4,1,1,2] => [1,1,4,2] => 1

([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => [1,3,4] => [1,3,4] => 1

([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,3),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,5,1,1] => [2,1,1,1,3] => [1,1,2,1,3] => 2

([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => [4,3,1] => [4,3,1] => 1

([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,3),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [2,1,1,1,1,1,1,1] => [1,8] => [1,8] => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => [9] => 1

([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => [3,6] => 1

([(0,2),(0,4),(0,5),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => [3,6] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,4,1,2] => [2,1,1,3,1] => [1,1,2,3,1] => 1

([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => [3,2,1,2] => [2,1,3,2] => 2

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 1

([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => [1,2,1,4] => 2

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,3),(1,3),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => [1,2,1,4] => 2

([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => [2,2,4] => 1

([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => [2,2,1,3] => 2

([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => [6,2] => [6,2] => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => [2,2,1,3] => 2

([(2,5),(2,8),(3,4),(3,6),(3,8),(4,6),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,3] => [7,1,1] => [1,7,1] => 1

([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7)],9) => [1,3,3,2] => [2,1,2,1,2,1] => [2,1,1,2,2,1] => 2

([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [1,2,1,1,1,2] => [2,5,1] => [2,5,1] => 1

([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,2] => [2,1,2,2,1] => [1,2,2,2,1] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,4,1] => [4,1,1,2] => [1,1,4,2] => 1

([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => [1,2,1,3,1] => [1,2,3,1,1] => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => [2,2,2,1,1] => 1

([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,3,1,1] => [4,1,3] => [1,4,3] => 1

([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => [2,6] => 1

([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => [1,2,1,4] => 2

([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => [4,4] => 1

([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => [3,2,3] => 2

([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => [3,1,4] => 2

([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => [5,3] => 1

([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => [8] => 1

([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => [2,3,3] => 1

([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => [3,5] => 1

([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => [2,1,5] => 2

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$F_{1} = q$

$F_{2} = 2\ q$

$F_{3} = 4\ q$

$F_{4} = 11\ q$

$F_{5} = 33\ q + q^{2}$

$F_{6} = 142\ q + 14\ q^{2}$

$F_{7} = 980\ q + 64\ q^{2}$

Description

The number of peaks of the associated bargraph.
Interpret the composition as the sequence of heights of the bars of a bargraph. This statistic is the number of contiguous subsequences consisting of an up step, a sequence of horizontal steps, and a down step.

Map

inverse Foata bijection

Description

The inverse of Foata's bijection.
See Mp00314Foata bijection.

Map

complement

Description

The complement of a composition.
The complement of a composition

$I$ is defined as follows:
If

$I$ is the empty composition, then the complement is also the empty composition. Otherwise, let

$S$ be the descent set corresponding to

$I=(i_1,\dots,i_k)$ , that is, the subset

$\{ i_1, i_1 + i_2, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$
of

$\{ 1, 2, \ldots, |I|-1 \}$ . Then, the complement of

$I$ is the composition of the same size as

$I$ , whose descent set is

$\{ 1, 2, \ldots, |I|-1 \} \setminus S$ .
The complement of a composition

$I$ coincides with the reversal (Mp00038reverse) of the composition conjugate (Mp00041conjugate) to

$I$ .

Map

Laplacian multiplicities

Description

The composition of multiplicities of the Laplacian eigenvalues.
Let

$\lambda_1 > \lambda_2 > \dots$ be the eigenvalues of the Laplacian matrix of a graph on

$n$ vertices. Then this map returns the composition

$a_1,\dots,a_k$ of

$n$ where

$a_i$ is the multiplicity of

$\lambda_i$ .