Identifier
-
Mp00275:
Graphs
—to edge-partition of connected components⟶
Integer partitions
Mp00322: Integer partitions —Loehr-Warrington⟶ Integer partitions
St000870: Integer partitions ⟶ ℤ
Values
([(0,1)],2) => [1] => [1] => 1
([(1,2)],3) => [1] => [1] => 1
([(0,2),(1,2)],3) => [2] => [1,1] => 2
([(0,1),(0,2),(1,2)],3) => [3] => [1,1,1] => 3
([(2,3)],4) => [1] => [1] => 1
([(1,3),(2,3)],4) => [2] => [1,1] => 2
([(0,3),(1,3),(2,3)],4) => [3] => [1,1,1] => 3
([(0,3),(1,2)],4) => [1,1] => [2] => 2
([(0,3),(1,2),(2,3)],4) => [3] => [1,1,1] => 3
([(1,2),(1,3),(2,3)],4) => [3] => [1,1,1] => 3
([(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1] => 4
([(0,2),(0,3),(1,2),(1,3)],4) => [4] => [1,1,1,1] => 4
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [5] => [1,1,1,1,1] => 5
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [6] => [1,1,1,1,1,1] => 6
([(3,4)],5) => [1] => [1] => 1
([(2,4),(3,4)],5) => [2] => [1,1] => 2
([(1,4),(2,4),(3,4)],5) => [3] => [1,1,1] => 3
([(0,4),(1,4),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 4
([(1,4),(2,3)],5) => [1,1] => [2] => 2
([(1,4),(2,3),(3,4)],5) => [3] => [1,1,1] => 3
([(0,1),(2,4),(3,4)],5) => [2,1] => [3] => 3
([(2,3),(2,4),(3,4)],5) => [3] => [1,1,1] => 3
([(0,4),(1,4),(2,3),(3,4)],5) => [4] => [1,1,1,1] => 4
([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 4
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 5
([(1,3),(1,4),(2,3),(2,4)],5) => [4] => [1,1,1,1] => 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 5
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 5
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 5
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6] => [1,1,1,1,1,1] => 6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,3),(2,3),(2,4)],5) => [4] => [1,1,1,1] => 4
([(0,1),(2,3),(2,4),(3,4)],5) => [3,1] => [2,1,1] => 4
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 5
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 6
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [5] => [1,1,1,1,1] => 5
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 6
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 6
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 6
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 7
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => [1,1,1,1,1,1,1] => 7
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(4,5)],6) => [1] => [1] => 1
([(3,5),(4,5)],6) => [2] => [1,1] => 2
([(2,5),(3,5),(4,5)],6) => [3] => [1,1,1] => 3
([(1,5),(2,5),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(2,5),(3,4)],6) => [1,1] => [2] => 2
([(2,5),(3,4),(4,5)],6) => [3] => [1,1,1] => 3
([(1,2),(3,5),(4,5)],6) => [2,1] => [3] => 3
([(3,4),(3,5),(4,5)],6) => [3] => [1,1,1] => 3
([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 4
([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 4
([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 4
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(2,4),(2,5),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 4
([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => [4] => 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,4),(2,3)],6) => [1,1,1] => [2,1] => 3
([(1,5),(2,4),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 4
([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => [2,1,1] => 4
([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 4
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 5
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 5
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [5] => [1,1,1,1,1] => 5
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
>>> Load all 998 entries. <<<([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5] => [1,1,1,1,1] => 5
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,1] => [2,1,1,1] => 5
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => [5] => 5
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => 6
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1] => 6
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [6] => 6
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => [2,1,1,1,1,1] => 7
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(5,6)],7) => [1] => [1] => 1
([(4,6),(5,6)],7) => [2] => [1,1] => 2
([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 3
([(2,6),(3,6),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 4
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(3,6),(4,5)],7) => [1,1] => [2] => 2
([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 3
([(2,3),(4,6),(5,6)],7) => [2,1] => [3] => 3
([(4,5),(4,6),(5,6)],7) => [3] => [1,1,1] => 3
([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 4
([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 4
([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 4
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 5
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(3,5),(3,6),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 4
([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [4] => 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [5] => 5
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,6),(2,5),(3,4)],7) => [1,1,1] => [2,1] => 3
([(2,6),(3,5),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 4
([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 4
([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [2,2] => 3
([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 4
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 5
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 5
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 5
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 6
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5] => [1,1,1,1,1] => 5
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => [1,1,1,1,1] => 5
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [2,1,1,1] => 5
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [5] => 5
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [5] => 5
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 6
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 5
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 6
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 6
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 7
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => [6] => 6
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [2,1,1,1,1,1] => 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [6] => [1,1,1,1,1,1] => 6
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => [2,2,1,1] => 5
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 6
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 5
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => [4,1] => 5
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 6
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 7
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,1] => [2,1,1,1,1] => 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [6] => 6
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 7
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 8
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [6] => 6
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 7
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [7] => 7
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 7
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8,1] => [2,1,1,1,1,1,1,1] => 9
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 7
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 8
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8,1] => [2,1,1,1,1,1,1,1] => 9
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9,1] => [2,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => [7] => 7
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => [2,2,1,1,1,1] => 7
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => [2,2,2,1,1] => 12
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 8
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 9
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => [2,2,2,1,1,1] => 14
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 10
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => [1,1,1,1,1,1,1,1,1,1,1] => 11
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10,1] => [2,1,1,1,1,1,1,1,1,1] => 11
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
([(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) => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 12
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searching the database for the individual values of this statistic
Description
The product of the hook lengths of the diagonal cells in an integer partition.
For a cell in the Ferrers diagram of a partition, the hook length is given by the number of boxes to its right plus the number of boxes below + 1. This statistic is the product of the hook lengths of the diagonal cells $(i,i)$ of a partition.
For a cell in the Ferrers diagram of a partition, the hook length is given by the number of boxes to its right plus the number of boxes below + 1. This statistic is the product of the hook lengths of the diagonal cells $(i,i)$ of a partition.
Map
Loehr-Warrington
Description
Return a partition whose diagonal inversion number is the length of the preimage.
Map
to edge-partition of connected components
Description
Sends a graph to the partition recording the number of edges in its connected components.
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