Identifier
-
Mp00251:
Graphs
—clique sizes⟶
Integer partitions
Mp00095: Integer partitions —to binary word⟶ Binary words
St000297: Binary words ⟶ ℤ
Values
([],1) => [1] => 10 => 1
([],2) => [1,1] => 110 => 2
([(0,1)],2) => [2] => 100 => 1
([],3) => [1,1,1] => 1110 => 3
([(1,2)],3) => [2,1] => 1010 => 1
([(0,2),(1,2)],3) => [2,2] => 1100 => 2
([(0,1),(0,2),(1,2)],3) => [3] => 1000 => 1
([],4) => [1,1,1,1] => 11110 => 4
([(2,3)],4) => [2,1,1] => 10110 => 1
([(1,3),(2,3)],4) => [2,2,1] => 11010 => 2
([(0,3),(1,3),(2,3)],4) => [2,2,2] => 11100 => 3
([(0,3),(1,2)],4) => [2,2] => 1100 => 2
([(0,3),(1,2),(2,3)],4) => [2,2,2] => 11100 => 3
([(1,2),(1,3),(2,3)],4) => [3,1] => 10010 => 1
([(0,3),(1,2),(1,3),(2,3)],4) => [3,2] => 10100 => 1
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2,2,2] => 111100 => 4
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [3,3] => 11000 => 2
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => 10000 => 1
([],5) => [1,1,1,1,1] => 111110 => 5
([(3,4)],5) => [2,1,1,1] => 101110 => 1
([(2,4),(3,4)],5) => [2,2,1,1] => 110110 => 2
([(1,4),(2,4),(3,4)],5) => [2,2,2,1] => 111010 => 3
([(0,4),(1,4),(2,4),(3,4)],5) => [2,2,2,2] => 111100 => 4
([(1,4),(2,3)],5) => [2,2,1] => 11010 => 2
([(1,4),(2,3),(3,4)],5) => [2,2,2,1] => 111010 => 3
([(0,1),(2,4),(3,4)],5) => [2,2,2] => 11100 => 3
([(2,3),(2,4),(3,4)],5) => [3,1,1] => 100110 => 1
([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 111100 => 4
([(1,4),(2,3),(2,4),(3,4)],5) => [3,2,1] => 101010 => 1
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,2,2] => 101100 => 1
([(1,3),(1,4),(2,3),(2,4)],5) => [2,2,2,2,1] => 1111010 => 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1111100 => 5
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,1] => 110010 => 2
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,2,2] => 101100 => 1
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,2] => 110100 => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,2,2,2,2] => 11111100 => 6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,3] => 111000 => 3
([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 111100 => 4
([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => 10100 => 1
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [3,2,2] => 101100 => 1
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [3,3] => 11000 => 2
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,2,2,2] => 1111100 => 5
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,2,2,2] => 1011100 => 1
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,3] => 111000 => 3
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [3,3,2] => 110100 => 2
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => 100010 => 1
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,2] => 100100 => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,3] => 101000 => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [3,3,2,2] => 1101100 => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [3,3,3,3] => 1111000 => 4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,4] => 110000 => 2
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 100000 => 1
([],6) => [1,1,1,1,1,1] => 1111110 => 6
([(4,5)],6) => [2,1,1,1,1] => 1011110 => 1
([(3,5),(4,5)],6) => [2,2,1,1,1] => 1101110 => 2
([(2,5),(3,5),(4,5)],6) => [2,2,2,1,1] => 1110110 => 3
([(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,1] => 1111010 => 4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => 1111100 => 5
([(2,5),(3,4)],6) => [2,2,1,1] => 110110 => 2
([(2,5),(3,4),(4,5)],6) => [2,2,2,1,1] => 1110110 => 3
([(1,2),(3,5),(4,5)],6) => [2,2,2,1] => 111010 => 3
([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => 1001110 => 1
([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1111010 => 4
([(0,1),(2,5),(3,5),(4,5)],6) => [2,2,2,2] => 111100 => 4
([(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1,1] => 1010110 => 1
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1111100 => 5
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2,1] => 1011010 => 1
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => 1011100 => 1
([(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,1,1] => 11110110 => 4
([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => 111100 => 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [2,2,2,2,2,1] => 11111010 => 5
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1111100 => 5
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,1,1] => 1100110 => 2
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,1] => 1011010 => 1
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1111100 => 5
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [2,2,2,2,2,2] => 11111100 => 6
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,1] => 1101010 => 2
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => 1011100 => 1
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2,2,1] => 111111010 => 6
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2,2] => 11111100 => 6
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,1] => 1110010 => 3
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => 1110100 => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,3] => 1111000 => 4
([(0,5),(1,4),(2,3)],6) => [2,2,2] => 11100 => 3
([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1111010 => 4
([(0,1),(2,5),(3,4),(4,5)],6) => [2,2,2,2] => 111100 => 4
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => 101010 => 1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1111100 => 5
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,2,1] => 1011010 => 1
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2] => 101100 => 1
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,2,2] => 1011100 => 1
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,1] => 110010 => 2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,2] => 110100 => 2
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [2,2,2,2,2,1] => 11111010 => 5
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [2,2,2,2,2,2] => 11111100 => 6
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,2,1] => 10111010 => 1
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2,2] => 11111100 => 6
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,2,1] => 1101010 => 2
>>> Load all 988 entries. <<<([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => 1011100 => 1
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,2,2] => 10111100 => 1
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,1] => 1110010 => 3
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => 1110100 => 3
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1111100 => 5
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2] => 1111100 => 5
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2,2] => 101100 => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2,2] => 11111100 => 6
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [3,2,2,2] => 1011100 => 1
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => 1011100 => 1
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2] => 110100 => 2
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,2,2] => 1011100 => 1
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [3,2,2,2,2] => 10111100 => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2] => 110100 => 2
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3] => 111000 => 3
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => 1000110 => 1
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,1] => 1001010 => 1
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2] => 1001100 => 1
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [3,2,2,2,2,2] => 101111100 => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => 1110100 => 3
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => 1110100 => 3
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2,2] => 11011100 => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,3] => 1111000 => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2,2] => 11011100 => 2
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,1] => 1010010 => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2] => 1001100 => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,2] => 1010100 => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2,2,2] => 110111100 => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => 1011000 => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2,1] => 11011010 => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,2,2,2] => 11011100 => 2
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,3,3,1] => 11110010 => 4
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,3,3,2] => 11110100 => 4
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [2,2,2,2,2,2] => 11111100 => 6
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,2,2,2] => 10111100 => 1
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,2,2] => 10111100 => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2] => 1101100 => 2
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,2,2,2] => 10111100 => 1
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2,2] => 11011100 => 2
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,3,2] => 1110100 => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,3,3] => 1111000 => 4
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3,2,2,2] => 11011100 => 2
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2,2,2] => 110111100 => 2
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,3,3] => 11111000 => 5
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,3,2] => 11110100 => 4
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,1] => 1100010 => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,2] => 1010100 => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,2] => 1100100 => 2
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,3,3] => 1111000 => 4
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => 1011000 => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,3] => 1101000 => 2
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,3,3,2,2] => 111101100 => 4
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,3,3,3,3] => 111111000 => 6
([(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) => [4,4,4] => 1110000 => 3
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => 11000 => 2
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [3,3,2] => 110100 => 2
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => 100100 => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,3] => 111000 => 3
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2] => 1001100 => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3] => 101000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [3,3,2,2] => 1101100 => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,3,2] => 1110100 => 3
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,2] => 1010100 => 1
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,3] => 1111000 => 4
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2,2] => 10011100 => 1
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => 1011000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,3,3] => 1111000 => 4
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4] => 110000 => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [3,2,2,2,2,2] => 101111100 => 1
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2,2] => 11011100 => 2
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,3,2,2] => 11101100 => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,3,3,3] => 11111000 => 5
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [3,3,2,2,2] => 11011100 => 2
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,3,2] => 11110100 => 4
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,3,3,3] => 11111000 => 5
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3,3] => 10111000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,4] => 1110000 => 3
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [4,3,2,2] => 10101100 => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => 1011000 => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,3] => 1101000 => 2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,2] => 1100100 => 2
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1000010 => 1
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,2] => 1000100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,3] => 1001000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,4] => 1010000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,3,3,3,3] => 111111000 => 6
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2] => 11001100 => 2
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3,2] => 10110100 => 1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [4,4,3,3] => 11011000 => 2
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,4,4] => 11110000 => 4
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,5] => 1100000 => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 1000000 => 1
([],7) => [1,1,1,1,1,1,1] => 11111110 => 7
([(5,6)],7) => [2,1,1,1,1,1] => 10111110 => 1
([(4,6),(5,6)],7) => [2,2,1,1,1,1] => 11011110 => 2
([(3,6),(4,6),(5,6)],7) => [2,2,2,1,1,1] => 11101110 => 3
([(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1,1] => 11110110 => 4
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,1] => 11111010 => 5
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(3,6),(4,5)],7) => [2,2,1,1,1] => 1101110 => 2
([(3,6),(4,5),(5,6)],7) => [2,2,2,1,1,1] => 11101110 => 3
([(2,3),(4,6),(5,6)],7) => [2,2,2,1,1] => 1110110 => 3
([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 10011110 => 1
([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 11110110 => 4
([(1,2),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1] => 1111010 => 4
([(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1,1] => 10101110 => 1
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2,1] => 11111010 => 5
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2] => 1111100 => 5
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,1,1] => 10110110 => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => 10111010 => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,1,1,1] => 111101110 => 4
([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => 1111010 => 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [2,2,2,2,2,1,1] => 111110110 => 5
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [2,2,2,2,2,1] => 11111010 => 5
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1111100 => 5
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1,1,1] => 11001110 => 2
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,1,1] => 10110110 => 1
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [2,2,2,2,2,1] => 11111010 => 5
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [2,2,2,2,2,2,1] => 111111010 => 6
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,1,1] => 11010110 => 2
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => 10111010 => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2,1] => 111111010 => 6
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,1,1] => 11100110 => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => 11101010 => 3
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,1] => 11110010 => 4
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 111010 => 3
([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 11110110 => 4
([(1,2),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1] => 1111010 => 4
([(0,3),(1,2),(4,6),(5,6)],7) => [2,2,2,2] => 111100 => 4
([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 1010110 => 1
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,1] => 11111010 => 5
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1111100 => 5
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2,1,1] => 10110110 => 1
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,1] => 1011010 => 1
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2,2,1] => 10111010 => 1
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => 1011100 => 1
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1,1] => 1100110 => 2
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,1] => 1101010 => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [2,2,2,2,2,1,1] => 111110110 => 5
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [2,2,2,2,2,2,1] => 111111010 => 6
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1,1] => 101110110 => 1
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,2,1] => 111111010 => 6
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,1,1] => 11010110 => 2
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => 10111010 => 1
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,1] => 101111010 => 1
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,1,1] => 11100110 => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => 11101010 => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [2,2,2,2,2,1] => 11111010 => 5
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,1] => 11111010 => 5
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1111100 => 5
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2,1] => 1011010 => 1
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,2,1] => 111111010 => 6
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [3,2,2,2,1] => 10111010 => 1
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => 1011100 => 1
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => 10111010 => 1
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,1] => 1101010 => 2
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => 1011100 => 1
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2,2,1] => 10111010 => 1
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2,1] => 101111010 => 1
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,1] => 1101010 => 2
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,1] => 1110010 => 3
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2,2] => 1011100 => 1
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 10001110 => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1,1] => 10010110 => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,1] => 10011010 => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => 10011100 => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => 11101010 => 3
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => 11101010 => 3
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,1] => 110111010 => 2
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,1] => 11110010 => 4
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,1] => 110111010 => 2
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,1,1] => 10100110 => 1
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,1] => 10011010 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,1] => 10101010 => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => 10011100 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => 10110010 => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,1,1] => 110110110 => 2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,1] => 110111010 => 2
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,1,1] => 111100110 => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2,1] => 111101010 => 4
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [2,2,2,2,2,2,1] => 111111010 => 6
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,1] => 101111010 => 1
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,1] => 101111010 => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2,2,2,1] => 101111010 => 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,1] => 110111010 => 2
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,1] => 11101010 => 3
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,1] => 11110010 => 4
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,2,1] => 110111010 => 2
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,1] => 111011010 => 3
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,1] => 111110010 => 5
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,1] => 111101010 => 4
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,1,1] => 11000110 => 2
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,1] => 11001010 => 2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => 11001100 => 2
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,1] => 111011010 => 3
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,1] => 10101010 => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,1] => 11110010 => 4
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => 10011100 => 1
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => 10110010 => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,1] => 11010010 => 2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => 11001100 => 2
([(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) => [4,4,3,2] => 11010100 => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(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) => [4,3,3,3] => 10111000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,1] => 11100010 => 3
([(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) => [4,4,3,2] => 11010100 => 2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,2] => 11100100 => 3
([(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) => [4,3,3,3] => 10111000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4] => 11110000 => 4
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1111100 => 5
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => 101100 => 1
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => 1011100 => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2] => 110100 => 2
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,3] => 111000 => 3
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [2,2,2,2,2,2] => 11111100 => 6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,2,2,2] => 1011100 => 1
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => 110010 => 2
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,2,1] => 1101010 => 2
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,3,2] => 110100 => 2
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 1001010 => 1
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,1] => 1110010 => 3
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,1] => 10011010 => 1
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2] => 1001100 => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => 10011100 => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,1] => 1010010 => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2] => 1010100 => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,2,2,1] => 11011010 => 2
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2,1] => 11101010 => 3
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,1] => 10101010 => 1
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,1] => 11110010 => 4
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2,1] => 100111010 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => 10110010 => 1
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2,2] => 100111100 => 1
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => 10011100 => 1
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2] => 1010100 => 1
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3] => 111000 => 3
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2] => 1010100 => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3] => 1011000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,1] => 11110010 => 4
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,1] => 1100010 => 2
([(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) => [4,4,2] => 1100100 => 2
([(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) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => 1101000 => 2
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [2,2,2,2,2,2,2] => 111111100 => 7
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,1] => 110111010 => 2
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2,1] => 111011010 => 3
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3,1] => 111110010 => 5
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,2,2,2,1] => 110111010 => 2
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,1] => 111101010 => 4
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,1] => 111110010 => 5
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,1] => 101110010 => 1
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,1] => 11001010 => 2
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => 10110010 => 1
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2,1] => 101011010 => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => 11001100 => 2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,1] => 11010010 => 2
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => 11010100 => 2
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2,2] => 101101100 => 1
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(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) => [4,4,3,2] => 11010100 => 2
([(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) => [4,4,3,2] => 11010100 => 2
([(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) => [4,3,3,3] => 10111000 => 1
([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2,2] => 101101100 => 1
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,1] => 11100010 => 3
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,2] => 11100100 => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2,2,2,2] => 101111100 => 1
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2,2] => 100111100 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2,2] => 100111100 => 1
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2] => 1100100 => 2
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => 11001100 => 2
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3] => 1011000 => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => 1101000 => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,2,2,2] => 100111100 => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [4,3,3,2,2] => 101101100 => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(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) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(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) => [4,4,3,2] => 11010100 => 2
([(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) => [4,3,3,3] => 10111000 => 1
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2,2] => 110011100 => 2
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(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) => [3,3,3,3,3] => 11111000 => 5
([(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) => [4,3,3,2,2] => 101101100 => 1
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2] => 1100100 => 2
([(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) => [4,3,3,3] => 10111000 => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => 1101000 => 2
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4] => 1110000 => 3
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [3,2,2,2,2] => 10111100 => 1
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2] => 1001100 => 1
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,2,2] => 1101100 => 2
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3] => 111000 => 3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,2,2,2] => 11011100 => 2
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => 10011100 => 1
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2] => 1110100 => 3
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,2,2] => 10011100 => 1
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2,2] => 100111100 => 1
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,3,2] => 1010100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,3,3] => 1011000 => 1
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 10000110 => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => 11001100 => 2
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,1] => 10001010 => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,2] => 10001100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(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) => [4,4,3,2] => 11010100 => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(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) => [4,4,2,2,2] => 110011100 => 2
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,1] => 10010010 => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,2] => 10001100 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2] => 10010100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => 10011000 => 1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,2] => 11100100 => 3
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,4,3,2,2] => 110101100 => 2
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,2] => 11100100 => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4] => 11110000 => 4
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(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) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(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) => [4,3,3,3,2] => 101110100 => 1
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,3,3,2,2] => 101101100 => 1
([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2,1] => 101101010 => 1
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,4,2,2,1] => 110011010 => 2
([(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) => [4,3,3,2,2] => 101101100 => 1
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,3,3,1] => 110110010 => 2
([(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) => [4,4,2,2,2] => 110011100 => 2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,3,3,2] => 110110100 => 2
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,4,2,2] => 11001100 => 2
([(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) => [4,3,3,2,2] => 101101100 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(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) => [4,4,3,2] => 11010100 => 2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,4,3,2,2] => 110101100 => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,4,3,3,2] => 110110100 => 2
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,1] => 10100010 => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2] => 10010100 => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2] => 10100100 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => 10011000 => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => 10101000 => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,4] => 10110000 => 1
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2,2] => 110101100 => 2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,2] => 110110100 => 2
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4,1] => 111100010 => 4
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4,2] => 111100100 => 4
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [4,3,3,2,2] => 101101100 => 1
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,2,2,2,2] => 110111100 => 2
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,3,2,2,2] => 111011100 => 3
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [4,3,3,2,2] => 101101100 => 1
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2,2] => 101101100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2,2] => 110101100 => 2
([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2,2] => 110101100 => 2
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,1),(0,2),(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,2] => 11100100 => 3
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(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) => [3,3,3,3,3] => 11111000 => 5
([(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) => [3,3,3,3,2,2] => 111101100 => 4
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => 11001100 => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4] => 11110000 => 4
([(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) => [3,3,3,3,3] => 11111000 => 5
([(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) => [4,4,2,2,2] => 110011100 => 2
([(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) => [4,3,3,2,2] => 101101100 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,2] => 110110100 => 2
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,2,2] => 111001100 => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4,4] => 111110000 => 5
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4,2] => 111100100 => 4
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,1] => 11000010 => 2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2] => 10100100 => 1
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,2] => 11000100 => 2
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,4,4,2,2] => 111001100 => 3
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => 10011000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => 10101000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,3] => 11001000 => 2
([(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) => [3,3,3,3,2,2] => 111101100 => 4
([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,2] => 110110100 => 2
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4] => 11110000 => 4
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,4] => 10110000 => 1
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,4] => 11010000 => 2
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,5] => 11100000 => 3
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,3,2] => 1110100 => 3
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => 101000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3] => 1111000 => 4
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,3,2] => 1010100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3] => 1011000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,4] => 110000 => 2
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2,2] => 101011100 => 1
([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => 11010100 => 2
([(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) => [3,3,3,3,3,3] => 111111000 => 6
([(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) => [4,4,2,2,2] => 110011100 => 2
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [3,3,3,2,2] => 11101100 => 3
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3,2,2] => 10101100 => 1
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,2] => 11110100 => 4
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3] => 11111000 => 5
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,3] => 1011000 => 1
([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => 10110100 => 1
([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => 1101000 => 2
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => 11001100 => 2
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => 1000100 => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => 1101000 => 2
([(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) => [5,2,2] => 10001100 => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => 1001000 => 1
([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => 1101000 => 2
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4] => 1110000 => 3
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,4,3,2] => 11010100 => 2
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2] => 10010100 => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,2,2] => 100011100 => 1
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => 10011000 => 1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4] => 1010000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [4,3,3,2] => 10110100 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [4,3,2,2,2] => 101011100 => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(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) => [3,3,3,3,2,2] => 111101100 => 4
([(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) => [4,3,3,2,2] => 101101100 => 1
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,3,3,2] => 111110100 => 5
([(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) => [4,4,2,2,2] => 110011100 => 2
([(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) => [3,3,3,3,3] => 11111000 => 5
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,3,2] => 101110100 => 1
([(0,1),(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,3,2,2] => 110101100 => 2
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,3,3,3] => 10111000 => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,3,3,3] => 111111000 => 6
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3,3,3,3] => 101111000 => 1
([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => 11010100 => 2
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2] => 10100100 => 1
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,3] => 11101000 => 3
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2,2] => 100101100 => 1
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => 10101000 => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4] => 11110000 => 4
([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,4,3,3,2] => 110110100 => 2
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3,3] => 100111000 => 1
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,4] => 10110000 => 1
([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3] => 11011000 => 2
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,4,4] => 11110000 => 4
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5] => 1100000 => 2
([(0,3),(0,4),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,2,2] => 111001100 => 3
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,3,2] => 110110100 => 2
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4,4] => 111110000 => 5
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,3,3,2,2] => 101101100 => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,4,3,3,3] => 110111000 => 2
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,4,4,4] => 111110000 => 5
([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,4,4] => 101110000 => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,5] => 11100000 => 3
([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,4,4,3,2] => 111010100 => 3
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3,2] => 100110100 => 1
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3,3] => 101011000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,4] => 10110000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,4] => 11010000 => 2
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2,2] => 101001100 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => 10101000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,3] => 11001000 => 2
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,2] => 11000100 => 2
([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 10000010 => 1
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => 10000100 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => 10001000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,4] => 10010000 => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,5] => 10100000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,5,2,2] => 110001100 => 2
([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3,2] => 101010100 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,5,3,3] => 110011000 => 2
([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,4,3] => 101101000 => 1
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5,5,5] => 111100000 => 4
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,6] => 11000000 => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 10000000 => 1
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 2,1,1 4,3,2,2 12,8,5,5,3,1
$F_{1} = q$
$F_{2} = q + q^{2}$
$F_{3} = 2\ q + q^{2} + q^{3}$
$F_{4} = 4\ q + 3\ q^{2} + 2\ q^{3} + 2\ q^{4}$
$F_{5} = 12\ q + 8\ q^{2} + 5\ q^{3} + 5\ q^{4} + 3\ q^{5} + q^{6}$
Description
The number of leading ones in a binary word.
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Return the partition as binary word, by traversing its shape from the first row to the last row, down steps as 1 and left steps as 0.
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clique sizes
Description
The integer partition of the sizes of the maximal cliques of a graph.
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