Identifier
Values
([],1) => [] => 0
([],2) => [] => 0
([(0,1)],2) => [1] => 0
([],3) => [] => 0
([(1,2)],3) => [1] => 0
([(0,2),(1,2)],3) => [2] => 0
([(0,1),(0,2),(1,2)],3) => [3] => 0
([],4) => [] => 0
([(2,3)],4) => [1] => 0
([(1,3),(2,3)],4) => [2] => 0
([(0,3),(1,3),(2,3)],4) => [3] => 0
([(0,3),(1,2)],4) => [1,1] => 1
([(0,3),(1,2),(2,3)],4) => [3] => 0
([(1,2),(1,3),(2,3)],4) => [3] => 0
([(0,3),(1,2),(1,3),(2,3)],4) => [4] => 0
([(0,2),(0,3),(1,2),(1,3)],4) => [4] => 0
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [5] => 0
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [6] => 0
([],5) => [] => 0
([(3,4)],5) => [1] => 0
([(2,4),(3,4)],5) => [2] => 0
([(1,4),(2,4),(3,4)],5) => [3] => 0
([(0,4),(1,4),(2,4),(3,4)],5) => [4] => 0
([(1,4),(2,3)],5) => [1,1] => 1
([(1,4),(2,3),(3,4)],5) => [3] => 0
([(0,1),(2,4),(3,4)],5) => [2,1] => 1
([(2,3),(2,4),(3,4)],5) => [3] => 0
([(0,4),(1,4),(2,3),(3,4)],5) => [4] => 0
([(1,4),(2,3),(2,4),(3,4)],5) => [4] => 0
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 0
([(1,3),(1,4),(2,3),(2,4)],5) => [4] => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => 0
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 0
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => 0
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6] => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => 0
([(0,4),(1,3),(2,3),(2,4)],5) => [4] => 0
([(0,1),(2,3),(2,4),(3,4)],5) => [3,1] => 1
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => 0
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [6] => 0
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [5] => 0
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [6] => 0
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [7] => 0
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => 0
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => 0
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => 0
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => 0
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [8] => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [9] => 0
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [10] => 0
([],6) => [] => 0
([(4,5)],6) => [1] => 0
([(3,5),(4,5)],6) => [2] => 0
([(2,5),(3,5),(4,5)],6) => [3] => 0
([(1,5),(2,5),(3,5),(4,5)],6) => [4] => 0
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5] => 0
([(2,5),(3,4)],6) => [1,1] => 1
([(2,5),(3,4),(4,5)],6) => [3] => 0
([(1,2),(3,5),(4,5)],6) => [2,1] => 1
([(3,4),(3,5),(4,5)],6) => [3] => 0
([(1,5),(2,5),(3,4),(4,5)],6) => [4] => 0
([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => 1
([(2,5),(3,4),(3,5),(4,5)],6) => [4] => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => 0
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 0
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 0
([(2,4),(2,5),(3,4),(3,5)],6) => [4] => 0
([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => 0
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => 0
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 0
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => 0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5] => 0
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => 0
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 0
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 0
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,5),(1,4),(2,3)],6) => [1,1,1] => 3
([(1,5),(2,4),(3,4),(3,5)],6) => [4] => 0
([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => 1
([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => 1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5] => 0
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => 0
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => 1
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 0
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => 0
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [5] => 0
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => 0
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 0
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [6] => 0
>>> Load all 712 entries. <<<
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 0
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [6] => 0
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 0
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5] => 0
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,1] => 1
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => 2
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => 0
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => 0
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 0
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 0
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => 0
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 0
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => 0
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 0
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 0
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => 0
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 0
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [6] => 0
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [7] => 0
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 0
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 0
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [8] => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => 0
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => 0
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [9] => 0
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => 3
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [7] => 0
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [8] => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => 0
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 0
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [10] => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [8] => 0
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 0
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [9] => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [10] => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [9] => 0
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 0
([],7) => [] => 0
([(5,6)],7) => [1] => 0
([(4,6),(5,6)],7) => [2] => 0
([(3,6),(4,6),(5,6)],7) => [3] => 0
([(2,6),(3,6),(4,6),(5,6)],7) => [4] => 0
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => 0
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6] => 0
([(3,6),(4,5)],7) => [1,1] => 1
([(3,6),(4,5),(5,6)],7) => [3] => 0
([(2,3),(4,6),(5,6)],7) => [2,1] => 1
([(4,5),(4,6),(5,6)],7) => [3] => 0
([(2,6),(3,6),(4,5),(5,6)],7) => [4] => 0
([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => 1
([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 0
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => 0
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => 1
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 0
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => 0
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(3,5),(3,6),(4,5),(4,6)],7) => [4] => 0
([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => 2
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => 0
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => 0
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => 2
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 0
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => 0
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => 0
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => 0
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 0
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => 0
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => 0
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6] => 0
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(1,6),(2,5),(3,4)],7) => [1,1,1] => 3
([(2,6),(3,5),(4,5),(4,6)],7) => [4] => 0
([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => 1
([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => 3
([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 1
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => 0
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => 1
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => 0
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 1
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6] => 0
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 0
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 1
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => 0
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5] => 0
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => 0
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 0
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [6] => 0
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 0
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => 0
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [7] => 0
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 0
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => 0
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => 1
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => 2
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => 2
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => 0
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => 1
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => 0
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => 2
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 0
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 1
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => 0
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => 1
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 0
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => 0
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => 0
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 0
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => 3
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => 0
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 0
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => 0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => 0
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => 0
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 1
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => 0
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => 0
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => 0
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [8] => 0
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [6] => 0
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => 0
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [7] => 0
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 0
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [7] => 0
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 0
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [8] => 0
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => 2
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => 2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => 0
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 0
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => 0
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => 0
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [8] => 0
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [8] => 0
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => 0
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => 0
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [9] => 0
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [9] => 0
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => 0
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => 0
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7) => [10] => 0
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => 0
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [10] => 0
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => 1
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => 3
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6] => 0
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => 0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6] => 0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,1] => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => 3
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => 0
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [7] => 0
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [7] => 0
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => 0
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => 0
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => 3
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 0
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => 0
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => 3
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => 0
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 0
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [8] => 0
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => 0
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 0
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [8] => 0
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8,1] => 1
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [7] => 0
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => 0
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [8] => 0
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [8] => 0
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 0
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [8] => 0
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [10] => 0
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 0
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [9] => 0
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => 0
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [10] => 0
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 0
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => 0
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8,1] => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => 0
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [9] => 0
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 0
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 0
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 0
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 0
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [9] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [9] => 0
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => 0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [10] => 0
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 0
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9,1] => 1
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [10] => 0
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => 0
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => 3
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => 0
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => 2
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 0
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => 3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => 0
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 0
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [10] => 0
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [9] => 0
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 0
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [9] => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [10] => 0
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [10] => 0
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => 0
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => 3
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 0
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [10] => 0
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The weighted size of a partition.
Let $\lambda = (\lambda_0\geq\lambda_1 \geq \dots\geq\lambda_m)$ be an integer partition. Then the weighted size of $\lambda$ is
$$\sum_{i=0}^m i \cdot \lambda_i.$$
This is also the sum of the leg lengths of the cells in $\lambda$, or
$$ \sum_i \binom{\lambda^{\prime}_i}{2} $$
where $\lambda^{\prime}$ is the conjugate partition of $\lambda$.
This is the minimal number of inversions a permutation with the given shape can have, see [1, cor.2.2].
This is also the smallest possible sum of the entries of a semistandard tableau (allowing 0 as a part) of shape $\lambda=(\lambda_0,\lambda_1,\ldots,\lambda_m)$, obtained uniquely by placing $i-1$ in all the cells of the $i$th row of $\lambda$, see [2, eq.7.103].
Map
to edge-partition of connected components
Description
Sends a graph to the partition recording the number of edges in its connected components.