Identifier
Values
([],1) => [1] => [1,0,1,0] => 2
([],2) => [1,1] => [1,0,1,1,0,0] => 2
([(0,1)],2) => [2] => [1,1,0,0,1,0] => 2
([],3) => [1,1,1] => [1,0,1,1,1,0,0,0] => 2
([(1,2)],3) => [2,1] => [1,0,1,0,1,0] => 2
([(0,2),(1,2)],3) => [3] => [1,1,1,0,0,0,1,0] => 2
([(0,1),(0,2),(1,2)],3) => [3] => [1,1,1,0,0,0,1,0] => 2
([],4) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 2
([(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => 2
([(1,3),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => 2
([(0,3),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 2
([(0,3),(1,2)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 2
([(0,3),(1,2),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 2
([(1,2),(1,3),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => 2
([(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 2
([(0,2),(0,3),(1,2),(1,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 2
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 2
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 2
([],5) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
([(3,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 2
([(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
([(1,4),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 2
([(0,4),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(1,4),(2,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => 2
([(1,4),(2,3),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 2
([(0,1),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => 2
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
([(0,4),(1,4),(2,3),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 2
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(1,3),(1,4),(2,3),(2,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 2
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,4),(1,3),(2,3),(2,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => 2
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 2
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
([],6) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
([(4,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 2
([(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 3
([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 3
([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(2,5),(3,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 2
([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 3
([(1,2),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => 3
([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 3
([(1,5),(2,5),(3,4),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 2
([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 3
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(2,4),(2,5),(3,4),(3,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 3
([(0,5),(1,5),(2,4),(3,4)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 3
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,3)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 2
([(1,5),(2,4),(3,4),(3,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 2
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => 3
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 2
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
>>> Load all 473 entries. <<<
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 2
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 2
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 3
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 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) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 2
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(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) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 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) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 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)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 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) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
([(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 3
([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 3
([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(3,6),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 3
([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 3
([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 3
([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 3
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 3
([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 2
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 3
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 2
([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 2
([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 3
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 2
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 3
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 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) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 2
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 2
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(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) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 3
([(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] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 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) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 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) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 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) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 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) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 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] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 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) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 3
([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 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) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 3
([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 3
([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 3
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 3
([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 3
([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 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) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 3
([(0,7),(1,6),(2,5),(3,4)],8) => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 3
([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 3
([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(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) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(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) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 3
([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(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) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(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) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(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) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(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) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(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) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 3
([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => [6,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 3
([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => [6,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 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) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
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Description
The magnitude of a Dyck path.
The magnitude of a finite dimensional algebra with invertible Cartan matrix C is defined as the sum of all entries of the inverse of C.
We define the magnitude of a Dyck path as the magnitude of the corresponding LNakayama algebra.
Map
to partition of connected components
Description
Return the partition of the sizes of the connected components of the graph.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.