Identifier
Values
([],1) => [1] => [1] => 10 => 1
([],2) => [2] => [1,1] => 110 => 1
([(0,1)],2) => [1] => [1] => 10 => 1
([],3) => [3,3] => [2,2,2] => 11100 => 2
([(1,2)],3) => [3] => [1,1,1] => 1110 => 1
([(0,1),(0,2)],3) => [2] => [1,1] => 110 => 1
([(0,2),(2,1)],3) => [1] => [1] => 10 => 1
([(0,2),(1,2)],3) => [2] => [1,1] => 110 => 1
([(2,3)],4) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(1,2),(1,3)],4) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,1),(0,2),(0,3)],4) => [3,3] => [2,2,2] => 11100 => 2
([(0,2),(0,3),(3,1)],4) => [3] => [1,1,1] => 1110 => 1
([(0,1),(0,2),(1,3),(2,3)],4) => [2] => [1,1] => 110 => 1
([(1,2),(2,3)],4) => [4] => [1,1,1,1] => 11110 => 1
([(0,3),(3,1),(3,2)],4) => [2] => [1,1] => 110 => 1
([(1,3),(2,3)],4) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,3),(1,3),(3,2)],4) => [2] => [1,1] => 110 => 1
([(0,3),(1,3),(2,3)],4) => [3,3] => [2,2,2] => 11100 => 2
([(0,3),(1,2)],4) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,3),(1,2),(1,3)],4) => [3,2] => [2,2,1] => 11010 => 2
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [2,2] => 1100 => 2
([(0,3),(2,1),(3,2)],4) => [1] => [1] => 10 => 1
([(0,3),(1,2),(2,3)],4) => [3] => [1,1,1] => 1110 => 1
([(0,2),(0,3),(0,4),(4,1)],5) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [3,3] => [2,2,2] => 11100 => 2
([(0,3),(0,4),(4,1),(4,2)],5) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(1,2),(1,3),(2,4),(3,4)],5) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [2] => [1,1] => 110 => 1
([(0,3),(0,4),(3,2),(4,1)],5) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [3,2] => [2,2,1] => 11010 => 2
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [2,2] => [2,2] => 1100 => 2
([(2,3),(3,4)],5) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(1,4),(4,2),(4,3)],5) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,4),(4,1),(4,2),(4,3)],5) => [3,3] => [2,2,2] => 11100 => 2
([(1,4),(2,4),(4,3)],5) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,4),(1,4),(4,2),(4,3)],5) => [2,2] => [2,2] => 1100 => 2
([(0,4),(1,4),(2,4),(4,3)],5) => [3,3] => [2,2,2] => 11100 => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,4),(1,4),(2,3),(4,2)],5) => [2] => [1,1] => 110 => 1
([(0,4),(1,3),(2,3),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,4),(1,4),(2,3),(3,4)],5) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(0,4),(1,2),(1,4),(2,3)],5) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [2,2,1] => 11010 => 2
([(1,3),(1,4),(2,3),(2,4)],5) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [2,2] => [2,2] => 1100 => 2
([(0,4),(1,2),(1,4),(4,3)],5) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,2),(0,4),(3,1),(4,3)],5) => [4] => [1,1,1,1] => 11110 => 1
([(0,4),(1,2),(1,3),(3,4)],5) => [4,4,3] => [3,3,3,2] => 1110100 => 3
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [3] => [1,1,1] => 1110 => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [5,3] => [2,2,2,1,1] => 1110110 => 1
([(0,3),(1,2),(1,4),(3,4)],5) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(1,4),(3,2),(4,3)],5) => [5] => [1,1,1,1,1] => 111110 => 1
([(0,3),(3,4),(4,1),(4,2)],5) => [2] => [1,1] => 110 => 1
([(0,4),(1,2),(2,4),(4,3)],5) => [3] => [1,1,1] => 1110 => 1
([(0,3),(1,4),(4,2)],5) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,4),(3,2),(4,1),(4,3)],5) => [3] => [1,1,1] => 1110 => 1
([(0,4),(1,2),(2,3),(2,4)],5) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,4),(2,3),(3,1),(4,2)],5) => [1] => [1] => 10 => 1
([(0,3),(1,2),(2,4),(3,4)],5) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,4),(1,2),(2,3),(3,4)],5) => [4] => [1,1,1,1] => 11110 => 1
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [2] => [1,1] => 110 => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => [3,3] => [2,2,2] => 11100 => 2
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => [2,2] => [2,2] => 1100 => 2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [2,2] => [2,2] => 1100 => 2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => [3,3] => [2,2,2] => 11100 => 2
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => [3,3] => [2,2,2] => 11100 => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => [2,2] => [2,2] => 1100 => 2
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [2] => [1,1] => 110 => 1
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [3,3] => [2,2,2] => 11100 => 2
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [2,2] => [2,2] => 1100 => 2
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [3,2] => [2,2,1] => 11010 => 2
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => [2,2,2,2] => [4,4] => 110000 => 2
>>> Load all 340 entries. <<<
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => [2,2] => [2,2] => 1100 => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [3,2] => [2,2,1] => 11010 => 2
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => [5,3] => [2,2,2,1,1] => 1110110 => 1
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [3] => [1,1,1] => 1110 => 1
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => [4,4,3] => [3,3,3,2] => 1110100 => 3
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => [4,4,3] => [3,3,3,2] => 1110100 => 3
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [4] => [1,1,1,1] => 11110 => 1
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [2] => [1,1] => 110 => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 1
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => [5,3] => [2,2,2,1,1] => 1110110 => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => [6,4,3] => [3,3,3,2,1,1] => 111010110 => 2
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [3,3,3] => [3,3,3] => 111000 => 3
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => [5] => [1,1,1,1,1] => 111110 => 1
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 1
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [4,3,3] => [3,3,3,1] => 1110010 => 3
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(1,5),(3,4),(4,2),(5,3)],6) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [2] => [1,1] => 110 => 1
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [4] => [1,1,1,1] => 11110 => 1
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [2] => [1,1] => 110 => 1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [4] => [1,1,1,1] => 11110 => 1
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => [6,5,3] => [3,3,3,2,2,1] => 111011010 => 2
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => [6,5,3] => [3,3,3,2,2,1] => 111011010 => 2
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => [2,2] => [2,2] => 1100 => 2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [3,2] => [2,2,1] => 11010 => 2
([(0,5),(1,3),(4,2),(5,4)],6) => [6,6,3] => [3,3,3,2,2,2] => 111011100 => 2
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [3] => [1,1,1] => 1110 => 1
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [1] => [1] => 10 => 1
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [3] => [1,1,1] => 1110 => 1
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => [5] => [1,1,1,1,1] => 111110 => 1
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [2] => [1,1] => 110 => 1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [3] => [1,1,1] => 1110 => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => [2,2] => [2,2] => 1100 => 2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [2,2,2,2] => [4,4] => 110000 => 2
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [3,3] => [2,2,2] => 11100 => 2
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [3,3] => [2,2,2] => 11100 => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => [2,2] => [2,2] => 1100 => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => [2,2] => [2,2] => 1100 => 2
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [7,7] => [2,2,2,2,2,2,2] => 111111100 => 2
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => [2,2] => [2,2] => 1100 => 2
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => [5] => [1,1,1,1,1] => 111110 => 1
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [7,7] => [2,2,2,2,2,2,2] => 111111100 => 2
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => [2] => [1,1] => 110 => 1
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => [2] => [1,1] => 110 => 1
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => [2,2] => [2,2] => 1100 => 2
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => [2,2,2,2] => [4,4] => 110000 => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [2,2,2,2] => [4,4] => 110000 => 2
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => [2,2,2,2] => [4,4] => 110000 => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => [2,2] => [2,2] => 1100 => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => [3,3] => [2,2,2] => 11100 => 2
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [3,2] => [2,2,1] => 11010 => 2
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [4,3,3] => [3,3,3,1] => 1110010 => 3
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 1
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => [5,3] => [2,2,2,1,1] => 1110110 => 1
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [4] => [1,1,1,1] => 11110 => 1
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => [4,4,3] => [3,3,3,2] => 1110100 => 3
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => [2] => [1,1] => 110 => 1
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [7,7] => [2,2,2,2,2,2,2] => 111111100 => 2
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => [6,4,3] => [3,3,3,2,1,1] => 111010110 => 2
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [3,3,3] => [3,3,3] => 111000 => 3
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 1
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => [2,2] => [2,2] => 1100 => 2
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [6,6,3] => [3,3,3,2,2,2] => 111011100 => 2
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => [6,5,3] => [3,3,3,2,2,1] => 111011010 => 2
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => [6,5,3] => [3,3,3,2,2,1] => 111011010 => 2
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => [6,4,3] => [3,3,3,2,1,1] => 111010110 => 2
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 1
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [6,5,3] => [3,3,3,2,2,1] => 111011010 => 2
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [3,2] => [2,2,1] => 11010 => 2
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => [2,2] => [2,2] => 1100 => 2
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => [3,3,3,3,3,3] => [6,6,6] => 111000000 => 3
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [7,7] => [2,2,2,2,2,2,2] => 111111100 => 2
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => [2,2] => [2,2] => 1100 => 2
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => [5,5,4,4] => [4,4,4,4,2] => 111100100 => 4
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [3,3] => [2,2,2] => 11100 => 2
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => [7,7] => [2,2,2,2,2,2,2] => 111111100 => 2
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => [3,3] => [2,2,2] => 11100 => 2
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => [5,5,5,5] => [4,4,4,4,4] => 111110000 => 4
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [3] => [1,1,1] => 1110 => 1
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [4,4] => [2,2,2,2] => 111100 => 2
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 2
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [3,2] => [2,2,1] => 11010 => 2
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => [6,5,3] => [3,3,3,2,2,1] => 111011010 => 2
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => [4,4,3] => [3,3,3,2] => 1110100 => 3
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => [5] => [1,1,1,1,1] => 111110 => 1
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [3] => [1,1,1] => 1110 => 1
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => [4,4,3] => [3,3,3,2] => 1110100 => 3
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => [6,6] => [2,2,2,2,2,2] => 11111100 => 2
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => [5,3] => [2,2,2,1,1] => 1110110 => 1
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => [5,3] => [2,2,2,1,1] => 1110110 => 1
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 1
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [3,3,3] => [3,3,3] => 111000 => 3
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 1
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => [2,2] => [2,2] => 1100 => 2
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [3,2] => [2,2,1] => 11010 => 2
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => [2] => [1,1] => 110 => 1
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [4] => [1,1,1,1] => 11110 => 1
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => [5] => [1,1,1,1,1] => 111110 => 1
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => [7] => [1,1,1,1,1,1,1] => 11111110 => 1
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [3,3,3] => [3,3,3] => 111000 => 3
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [4,3,3] => [3,3,3,1] => 1110010 => 3
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [5,4] => [2,2,2,2,1] => 1111010 => 2
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [3] => [1,1,1] => 1110 => 1
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => [5,5] => [2,2,2,2,2] => 1111100 => 2
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [1] => [1] => 10 => 1
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [3] => [1,1,1] => 1110 => 1
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [4,4,4] => [3,3,3,3] => 1111000 => 3
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [6,6,3] => [3,3,3,2,2,2] => 111011100 => 2
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [3] => [1,1,1] => 1110 => 1
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => [4,2] => [2,2,1,1] => 110110 => 1
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 1
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => [2] => [1,1] => 110 => 1
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [4] => [1,1,1,1] => 11110 => 1
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [6] => [1,1,1,1,1,1] => 1111110 => 1
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => [2] => [1,1] => 110 => 1
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [4] => [1,1,1,1] => 11110 => 1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => [3,2] => [2,2,1] => 11010 => 2
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The semilength of the longest Dyck word in the Catalan factorisation of a binary word.
Every binary word can be written in a unique way as $(\mathcal D 0)^\ell \mathcal D (1 \mathcal D)^m$, where $\mathcal D$ is the set of Dyck words. This is the Catalan factorisation, see [1, sec.9.1.2].
This statistic records the semilength of the longest Dyck word in this factorisation.
Map
promotion cycle type
Description
The cycle type of promotion on the linear extensions of a poset.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
Map
to binary word
Description
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.