Processing math: 100%

Identifier
Values
([],1) => [1] => [1] => 1 => 1
([],2) => [2] => [1,1] => 11 => 2
([(0,1)],2) => [1,1] => [2] => 10 => 1
([],3) => [3] => [1,1,1] => 111 => 3
([(1,2)],3) => [1,2] => [2,1] => 101 => 1
([(0,2),(1,2)],3) => [1,1,1] => [3] => 100 => 1
([(0,1),(0,2),(1,2)],3) => [2,1] => [1,2] => 110 => 2
([],4) => [4] => [1,1,1,1] => 1111 => 4
([(2,3)],4) => [1,3] => [2,1,1] => 1011 => 1
([(1,3),(2,3)],4) => [1,1,2] => [3,1] => 1001 => 1
([(0,3),(1,3),(2,3)],4) => [1,2,1] => [2,2] => 1010 => 1
([(0,3),(1,2)],4) => [2,2] => [1,2,1] => 1101 => 2
([(0,3),(1,2),(2,3)],4) => [1,1,1,1] => [4] => 1000 => 1
([(1,2),(1,3),(2,3)],4) => [2,2] => [1,2,1] => 1101 => 2
([(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => [4] => 1000 => 1
([(0,2),(0,3),(1,2),(1,3)],4) => [1,2,1] => [2,2] => 1010 => 1
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [1,3] => 1100 => 2
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [3,1] => [1,1,2] => 1110 => 3
([],5) => [5] => [1,1,1,1,1] => 11111 => 5
([(3,4)],5) => [1,4] => [2,1,1,1] => 10111 => 1
([(2,4),(3,4)],5) => [1,1,3] => [3,1,1] => 10011 => 1
([(1,4),(2,4),(3,4)],5) => [1,2,2] => [2,2,1] => 10101 => 1
([(0,4),(1,4),(2,4),(3,4)],5) => [1,3,1] => [2,1,2] => 10110 => 1
([(1,4),(2,3)],5) => [2,3] => [1,2,1,1] => 11011 => 2
([(1,4),(2,3),(3,4)],5) => [1,1,1,2] => [4,1] => 10001 => 1
([(0,1),(2,4),(3,4)],5) => [1,1,1,2] => [4,1] => 10001 => 1
([(2,3),(2,4),(3,4)],5) => [2,3] => [1,2,1,1] => 11011 => 2
([(0,4),(1,4),(2,3),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => [4,1] => 10001 => 1
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,2,1] => [3,2] => 10010 => 1
([(1,3),(1,4),(2,3),(2,4)],5) => [1,2,2] => [2,2,1] => 10101 => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,2] => [1,3,1] => 11001 => 2
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,2,1] => [3,2] => 10010 => 1
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,2,1] => [1,2,2] => 11010 => 2
([(0,4),(1,3),(2,3),(2,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(0,1),(2,3),(2,4),(3,4)],5) => [2,1,2] => [1,3,1] => 11001 => 2
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [1,2,1,1] => [2,3] => 10100 => 1
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,1] => [1,2,2] => 11010 => 2
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,2] => [1,1,2,1] => 11101 => 3
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,2,1,1] => [2,3] => 10100 => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [1,4] => 11000 => 2
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,1,1,1] => [5] => 10000 => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [2,2,1] => [1,2,2] => 11010 => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,3] => 11100 => 3
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [1,1,1,2] => 11110 => 4
([],6) => [6] => [1,1,1,1,1,1] => 111111 => 6
([(4,5)],6) => [1,5] => [2,1,1,1,1] => 101111 => 1
([(3,5),(4,5)],6) => [1,1,4] => [3,1,1,1] => 100111 => 1
([(2,5),(3,5),(4,5)],6) => [1,2,3] => [2,2,1,1] => 101011 => 1
([(1,5),(2,5),(3,5),(4,5)],6) => [1,3,2] => [2,1,2,1] => 101101 => 1
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [1,4,1] => [2,1,1,2] => 101110 => 1
([(2,5),(3,4)],6) => [2,4] => [1,2,1,1,1] => 110111 => 2
([(2,5),(3,4),(4,5)],6) => [1,1,1,3] => [4,1,1] => 100011 => 1
([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => [4,1,1] => 100011 => 1
([(3,4),(3,5),(4,5)],6) => [2,4] => [1,2,1,1,1] => 110111 => 2
([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,1),(2,5),(3,5),(4,5)],6) => [1,1,2,2] => [3,2,1] => 100101 => 1
([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => [4,1,1] => 100011 => 1
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => [3,2,1] => 100101 => 1
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => [3,1,2] => 100110 => 1
([(2,4),(2,5),(3,4),(3,5)],6) => [1,2,3] => [2,2,1,1] => 101011 => 1
([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2] => [1,2,2,1] => 110101 => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => [1,3,1,1] => 110011 => 2
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => [4,2] => 100010 => 1
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,2] => [3,2,1] => 100101 => 1
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [1,2,2,1] => 110101 => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,3,1] => [3,1,2] => 100110 => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,3,1] => [1,2,1,2] => 110110 => 2
([(0,5),(1,4),(2,3)],6) => [3,3] => [1,1,2,1,1] => 111011 => 3
([(1,5),(2,4),(3,4),(3,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,1),(2,5),(3,4),(4,5)],6) => [1,2,1,2] => [2,3,1] => 101001 => 1
([(1,2),(3,4),(3,5),(4,5)],6) => [2,1,3] => [1,3,1,1] => 110011 => 2
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,2] => [2,3,1] => 101001 => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => [2,2,2] => 101010 => 1
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [2,2,2] => [1,2,2,1] => 110101 => 2
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
>>> Load all 2354 entries. <<<
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [2,1,2,1] => [1,3,2] => 110010 => 2
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [1,3,2] => [2,1,2,1] => 101101 => 1
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,1,2] => [1,1,3,1] => 111001 => 3
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [1,2,2,1] => 110101 => 2
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3] => [1,1,2,1,1] => 111011 => 3
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => [2,3,1] => 101001 => 1
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => [2,2,2] => 101010 => 1
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => [1,4,1] => 110001 => 2
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,2,2,1] => [2,2,2] => 101010 => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,2,1] => [1,3,2] => 110010 => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => [5,1] => 100001 => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,2] => [1,2,2,1] => 110101 => 2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [1,2,2,1] => [2,2,2] => 101010 => 1
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,3,1,1] => [2,1,3] => 101100 => 1
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,2] => [1,1,3,1] => 111001 => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,1,2,1] => [1,3,2] => 110010 => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [1,5] => 110000 => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [1,4,1] => [2,1,1,2] => 101110 => 1
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => [3,1,2] => 100110 => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,1,2,1] => [1,3,2] => 110010 => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,2,2] => 111010 => 3
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [4,2] => [1,1,1,2,1] => 111101 => 4
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [1,3,1,1] => [2,1,3] => 101100 => 1
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,2] => [1,1,3,1] => 111001 => 3
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,3,1,1] => [2,1,3] => 101100 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,2,3] => 110100 => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => [2,2,2] => 101010 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [2,2,1,1] => [1,2,3] => 110100 => 2
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 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) => [2,1,1,1,1] => [1,5] => 110000 => 2
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => [6] => 100000 => 1
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,2,1] => 111101 => 4
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,3,1,1] => [2,1,3] => 101100 => 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) => [2,2,1,1] => [1,2,3] => 110100 => 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) => [3,1,1,1] => [1,1,4] => 111000 => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => [3,3] => 100100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => [2,4] => 101000 => 1
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => [2,2,2] => 101010 => 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) => [2,1,1,1,1] => [1,5] => 110000 => 2
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,3,1] => [1,2,1,2] => 110110 => 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) => [3,2,1] => [1,1,2,2] => 111010 => 3
([(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) => [4,1,1] => [1,1,1,3] => 111100 => 4
([(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) => [5,1] => [1,1,1,1,2] => 111110 => 5
([],7) => [7] => [1,1,1,1,1,1,1] => 1111111 => 7
([(5,6)],7) => [1,6] => [2,1,1,1,1,1] => 1011111 => 1
([(4,6),(5,6)],7) => [1,1,5] => [3,1,1,1,1] => 1001111 => 1
([(3,6),(4,6),(5,6)],7) => [1,2,4] => [2,2,1,1,1] => 1010111 => 1
([(2,6),(3,6),(4,6),(5,6)],7) => [1,3,3] => [2,1,2,1,1] => 1011011 => 1
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,4,2] => [2,1,1,2,1] => 1011101 => 1
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,5,1] => [2,1,1,1,2] => 1011110 => 1
([(3,6),(4,5)],7) => [2,5] => [1,2,1,1,1,1] => 1101111 => 2
([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => [4,1,1,1] => 1000111 => 1
([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => [4,1,1,1] => 1000111 => 1
([(4,5),(4,6),(5,6)],7) => [2,5] => [1,2,1,1,1,1] => 1101111 => 2
([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => [3,2,1,1] => 1001011 => 1
([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => [4,1,1,1] => 1000111 => 1
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,2] => [3,1,2,1] => 1001101 => 1
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => [3,2,1,1] => 1001011 => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => [3,1,2,1] => 1001101 => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => [3,1,1,2] => 1001110 => 1
([(3,5),(3,6),(4,5),(4,6)],7) => [1,2,4] => [2,2,1,1,1] => 1010111 => 1
([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => [1,2,2,1,1] => 1101011 => 2
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => [3,1,2,1] => 1001101 => 1
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => [1,3,1,1,1] => 1100111 => 2
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => [4,2,1] => 1000101 => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => [4,1,2] => 1000110 => 1
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,3] => [3,2,1,1] => 1001011 => 1
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => [1,2,2,1,1] => 1101011 => 2
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,2,1] => [3,2,2] => 1001010 => 1
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => [3,1,2,1] => 1001101 => 1
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => [1,2,1,2,1] => 1101101 => 2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,4,1] => [3,1,1,2] => 1001110 => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,4,1] => [1,2,1,1,2] => 1101110 => 2
([(1,6),(2,5),(3,4)],7) => [3,4] => [1,1,2,1,1,1] => 1110111 => 3
([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => [2,3,1,1] => 1010011 => 1
([(0,3),(1,2),(4,6),(5,6)],7) => [1,2,1,3] => [2,3,1,1] => 1010011 => 1
([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => [1,3,1,1,1] => 1100111 => 2
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => [4,2,1] => 1000101 => 1
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,3] => [2,3,1,1] => 1010011 => 1
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => [2,2,1,2] => 1010110 => 1
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [2,2,3] => [1,2,2,1,1] => 1101011 => 2
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [2,1,2,2] => [1,3,2,1] => 1100101 => 2
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => [5,2] => 1000010 => 1
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,3] => [2,1,2,1,1] => 1011011 => 1
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => [1,1,3,1,1] => 1110011 => 3
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => [1,2,2,1,1] => 1101011 => 2
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => [5,2] => 1000010 => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,4] => [1,1,2,1,1,1] => 1110111 => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => [2,3,1,1] => 1010011 => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,3,1] => [2,2,1,2] => 1010110 => 1
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => [3,1,2,1] => 1001101 => 1
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => [1,2,1,2,1] => 1101101 => 2
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => [1,4,1,1] => 1100011 => 2
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => [5,2] => 1000010 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,2] => [1,3,2,1] => 1100101 => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,3,1] => [4,1,2] => 1000110 => 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) => [2,1,3,1] => [1,3,1,2] => 1100110 => 2
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => [5,1,1] => 1000011 => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => [1,2,2,1,1] => 1101011 => 2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,2,1] => [3,2,2] => 1001010 => 1
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => [1,5,1] => 1100001 => 2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,2] => [2,1,3,1] => 1011001 => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => [1,1,3,1,1] => 1110011 => 3
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,1,2,2] => [1,3,2,1] => 1100101 => 2
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,2,1] => [1,4,2] => 1100010 => 2
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => [1,5,1] => 1100001 => 2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,1,2,1] => [2,3,2] => 1010010 => 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) => [2,1,1,2,1] => [1,4,2] => 1100010 => 2
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,4,2] => [2,1,1,2,1] => 1011101 => 1
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => [3,1,2,1] => 1001101 => 1
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,2,2] => [1,3,2,1] => 1100101 => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(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) => [3,2,2] => [1,1,2,2,1] => 1110101 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,1,2,1] => [1,4,2] => 1100010 => 2
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,2,3,1] => [2,2,1,2] => 1010110 => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,3,1] => [4,1,2] => 1000110 => 1
([(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)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,3,1] => [1,3,1,2] => 1100110 => 2
([(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) => [3,3,1] => [1,1,2,1,2] => 1110110 => 3
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [2,2,3] => [1,2,2,1,1] => 1101011 => 2
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,3,2,1] => [2,1,2,2] => 1011010 => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [2,1,2,2] => [1,3,2,1] => 1100101 => 2
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => [1,1,1,2,1,1] => 1111011 => 4
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,3,1,2] => [2,1,3,1] => 1011001 => 1
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => [2,1,3,1] => 1011001 => 1
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => [1,1,3,1,1] => 1110011 => 3
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,2] => [1,3,2,1] => 1100101 => 2
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,2] => [2,1,3,1] => 1011001 => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => [1,2,3,1] => 1101001 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(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) => [1,1,2,2,1] => [3,2,2] => 1001010 => 1
([(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) => [2,2,2,1] => [1,2,2,2] => 1101010 => 2
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [2,2,2,1] => [1,2,2,2] => 1101010 => 2
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [2,2,1,2] => [1,2,3,1] => 1101001 => 2
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [1,1,2,1,2] => 1110110 => 3
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => [6,1] => 1000001 => 1
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,1,1,2] => [1,5,1] => 1100001 => 2
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => [4,2,1] => 1000101 => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,1,2] => [1,2,3,1] => 1101001 => 2
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => [1,1,4,1] => 1110001 => 3
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => [1,1,4,1] => 1110001 => 3
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => [1,2,3,1] => 1101001 => 2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,3,1,1,1] => [2,1,4] => 1011000 => 1
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,2,1,1] => 1111011 => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => [2,1,3,1] => 1011001 => 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) => [1,3,2,1] => [2,1,2,2] => 1011010 => 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)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [2,2,1,2] => [1,2,3,1] => 1101001 => 2
([(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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [1,3,2,1] => [2,1,2,2] => 1011010 => 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) => [2,2,2,1] => [1,2,2,2] => 1101010 => 2
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,3),(0,4),(1,2),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(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) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => [2,2,2,1] => 1010101 => 1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => [3,3,1] => 1001001 => 1
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => [2,4,1] => 1010001 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [2,1,1,1,2] => [1,5,1] => 1100001 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [3,1,1,2] => [1,1,4,1] => 1110001 => 3
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(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),(5,6)],7) => [1,1,1,1,2,1] => [5,2] => 1000010 => 1
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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),(4,6),(5,6)],7) => [2,2,2,1] => [1,2,2,2] => 1101010 => 2
([(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) => [3,1,2,1] => [1,1,3,2] => 1110010 => 3
([(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)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,3,2] => [1,2,1,2,1] => 1101101 => 2
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(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) => [3,2,2] => [1,1,2,2,1] => 1110101 => 3
([(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) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(0,5),(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)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,5),(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) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,2,2,1] => [3,2,2] => 1001010 => 1
([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,2),(0,6),(1,2),(1,4),(1,5),(2,3),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [4,1,2] => [1,1,1,3,1] => 1111001 => 4
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [2,2,1,1,1] => [1,2,4] => 1101000 => 2
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,2,1,2] => 1110110 => 3
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,2,1] => [2,3,2] => 1010010 => 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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(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) => [3,1,1,1,1] => [1,1,5] => 1110000 => 3
([(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)],7) => [1,1,2,2,1] => [3,2,2] => 1001010 => 1
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [2,4,1] => [1,2,1,1,2] => 1101110 => 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) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(0,1),(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) => [1,2,2,1,1] => [2,2,3] => 1010100 => 1
([(0,1),(0,2),(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) => [2,1,3,1] => [1,3,1,2] => 1100110 => 2
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [1,2,2,2] => 1101010 => 2
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,2,1] => [1,1,3,2] => 1110010 => 3
([(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) => [4,2,1] => [1,1,1,2,2] => 1111010 => 4
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,2,2,1] => 1110101 => 3
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => [2,1,4] => 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) => [1,4,1,1] => [2,1,1,3] => 1011100 => 1
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [1,1,3,1,1] => [3,1,3] => 1001100 => 1
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,2] => [1,1,1,3,1] => 1111001 => 4
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,2,1,1] => [4,3] => 1000100 => 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)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 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),(5,6)],7) => [2,2,1,1,1] => [1,2,4] => 1101000 => 2
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,2,1,1] => [4,3] => 1000100 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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)],7) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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)],7) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(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) => [2,3,1,1] => [1,2,1,3] => 1101100 => 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),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,2,3] => 1110100 => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,4),(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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)],7) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(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) => [2,2,2,1] => [1,2,2,2] => 1101010 => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(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) => [1,2,1,2,1] => [2,3,2] => 1010010 => 1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,2,2,1,1] => [2,2,3] => 1010100 => 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),(3,5),(4,6)],7) => [2,2,2,1] => [1,2,2,2] => 1101010 => 2
([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,1),(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(0,5),(0,6),(1,2),(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 1
([(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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 2
([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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),(4,6),(5,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(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) => [3,1,1,1,1] => [1,1,5] => 1110000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 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) => [2,1,1,1,1,1] => [1,6] => 1100000 => 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) => [1,2,1,1,1,1] => [2,5] => 1010000 => 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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 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) => [1,1,2,1,1,1] => [3,4] => 1001000 => 1
([(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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 1
([(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) => [5,2] => [1,1,1,1,2,1] => 1111101 => 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) => [1,4,1,1] => [2,1,1,3] => 1011100 => 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) => [2,3,1,1] => [1,2,1,3] => 1101100 => 2
([(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) => [3,2,1,1] => [1,1,2,3] => 1110100 => 3
([(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) => [4,1,1,1] => [1,1,1,4] => 1111000 => 4
([(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)],7) => [1,1,1,1,1,1,1] => [7] => 1000000 => 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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 1
([(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) => [1,3,1,1,1] => [2,1,4] => 1011000 => 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) => [2,2,1,1,1] => [1,2,4] => 1101000 => 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) => [2,2,2,1] => [1,2,2,2] => 1101010 => 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),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,5] => 1110000 => 3
([(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),(3,5),(3,6),(4,5),(4,6)],7) => [2,1,2,1,1] => [1,3,3] => 1100100 => 2
([(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),(4,6),(5,6)],7) => [3,3,1] => [1,1,2,1,2] => 1110110 => 3
([(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) => [4,2,1] => [1,1,1,2,2] => 1111010 => 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) => [5,1,1] => [1,1,1,1,3] => 1111100 => 5
([(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) => [6,1] => [1,1,1,1,1,2] => 1111110 => 6
([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => [1,6,1] => [2,1,1,1,1,2] => 10111110 => 1
([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => 100001000 => 1
([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => 100001000 => 1
([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => [1,2,3,2] => 11010010 => 2
([(0,1),(0,4),(0,5),(0,7),(0,8),(1,2),(1,3),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [2,2,1,2,1,1] => [1,2,3,3] => 110100100 => 2
([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6)],8) => [3,3,1,1] => [1,1,2,1,3] => 11101100 => 3
([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) => [1,3,3,1,1] => [2,1,2,1,3] => 101101100 => 1
([(0,2),(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => 11000100 => 2
([(0,3),(0,6),(0,7),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,2),(0,3),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => 100100000 => 1
([(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,3),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [2,1,2,2,1,1] => [1,3,2,3] => 110010100 => 2
([(0,2),(0,5),(1,3),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,3),(0,7),(1,2),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,8),(1,2),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,7),(1,8),(2,3),(2,6),(2,8),(3,4),(3,6),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => 100100000 => 1
([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(2,8),(3,4),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,1),(0,5),(0,6),(0,8),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,5),(0,7),(0,8),(1,2),(1,4),(1,6),(1,8),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,2,1,1,1,1] => [4,5] => 100010000 => 1
([(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,9),(2,3),(2,5),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,6),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,3),(0,4),(0,7),(1,2),(1,5),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => 100100000 => 1
([(0,1),(0,5),(0,7),(0,8),(1,4),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,8),(4,6),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [2,2,2,2,1] => [1,2,2,2,2] => 110101010 => 2
([(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,6),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(3,6),(3,8),(4,5),(4,7),(5,8),(6,7)],9) => [4,4,1] => [1,1,1,2,1,1,2] => 111101110 => 4
([(0,4),(0,5),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(0,4),(0,5),(1,2),(1,3),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [2,1,1,2,1,1,1] => [1,4,4] => 110001000 => 2
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,5),(0,8),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [1,2,1,1,2,1,1] => [2,4,3] => 101000100 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => 100100000 => 1
([(0,4),(0,5),(0,8),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,7),(2,9),(3,4),(3,6),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => [3,1,3,1,1,1] => [1,1,3,1,4] => 1110011000 => 3
([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(0,4),(0,8),(1,3),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,3),(0,4),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,6),(3,8),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [2,2,2,1,2,1] => [1,2,2,3,2] => 1101010010 => 2
([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,7),(4,8),(5,7),(6,8),(7,8)],9) => [3,2,2,1,1] => [1,1,2,2,3] => 111010100 => 3
([(0,2),(0,5),(0,6),(0,8),(1,2),(1,3),(1,4),(1,7),(2,7),(2,8),(3,4),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,6),(1,8),(1,9),(2,5),(2,7),(2,9),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,1),(0,5),(0,6),(1,4),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,9),(3,4),(3,5),(3,7),(3,8),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,4,2] => [1,2,1,1,2,1] => 11011101 => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,2] => 11111110 => 7
([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,2,1] => 11111101 => 6
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,5,1,1] => [2,1,1,1,3] => 10111100 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,1,1] => [1,2,1,1,3] => 11011100 => 2
([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => [2,1,1,3,1] => 10111001 => 1
([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => [2,1,1,2,2] => 10111010 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => [1,1,2,1,3] => 11101100 => 3
([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => [1,2,1,3,1] => 11011001 => 2
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => [1,2,1,2,2] => 11011010 => 2
([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => [2,1,2,2,1] => 10110101 => 1
([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => [2,1,2,1,2] => 10110110 => 1
([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,5] => [1,1,2,1,1,1,1] => 11101111 => 3
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [1,1,1,2,3] => 11110100 => 4
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => 11101001 => 3
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => 10010001 => 1
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => 10010010 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => [1,1,2,2,2] => 11101010 => 3
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => 11010101 => 2
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => [2,2,2,1,1] => 10101011 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => [1,2,2,1,2] => 11010110 => 2
([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => [2,2,1,1,2] => 10101110 => 1
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1,1,4] => 11111000 => 5
([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,2] => [1,1,1,4,1] => 11110001 => 4
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => [1,2,5] => 11010000 => 2
([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => [2,4,2] => 10100010 => 1
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => 11100000 => 3
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => 11000001 => 2
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,3] => [6,1,1] => 10000011 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => [1,5,2] => 11000010 => 2
([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => [5,2,1] => 10000101 => 1
([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => [5,1,2] => 10000110 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => [1,1,1,3,2] => 11110010 => 4
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => [1,1,3,2,1] => 11100101 => 3
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => [1,3,2,1,1] => 11001011 => 2
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => 11000100 => 2
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => [4,2,2] => 10001010 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => [1,1,3,1,2] => 11100110 => 3
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => [1,3,1,2,1] => 11001101 => 2
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => [3,1,2,1,1] => 10011011 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => [1,3,1,1,2] => 11001110 => 2
([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => [3,1,1,1,2] => 10011110 => 1
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,1,3] => 11111100 => 6
([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,2] => [1,1,1,1,3,1] => 11111001 => 5
([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => 10111000 => 1
([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => [1,2,1,4] => 11011000 => 2
([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => [2,1,4,1] => 10110001 => 1
([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => [2,1,3,2] => 10110010 => 1
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,1,1] => [1,1,2,4] => 11101000 => 3
([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => [1,2,4,1] => 11010001 => 2
([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,3] => [2,4,1,1] => 10100011 => 1
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => [1,2,3,2] => 11010010 => 2
([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => [2,3,2,1] => 10100101 => 1
([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => [2,3,1,2] => 10100110 => 1
([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,5] => 11110000 => 4
([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,2] => [1,1,5,1] => 11100001 => 3
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,3] => [1,5,1,1] => 11000011 => 2
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => [6,2] => 10000010 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,2,1] => [1,1,4,2] => 11100010 => 3
([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => [1,4,2,1] => 11000101 => 2
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,3] => [4,2,1,1] => 10001011 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => [1,4,1,2] => 11000110 => 2
([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => [4,1,2,1] => 10001101 => 1
([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,4,1] => [4,1,1,2] => 10001110 => 1
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => [1,1,1,1,2,2] => 11111010 => 5
([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => 11110101 => 4
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => [2,1,2,3] => 10110100 => 1
([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => [1,1,2,2,1,1] => 11101011 => 3
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => [1,2,2,3] => 11010100 => 2
([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => 10101001 => 1
([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => 10101010 => 1
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,1,1] => [1,1,3,3] => 11100100 => 3
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => [1,3,3,1] => 11001001 => 2
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,3] => [3,3,1,1] => 10010011 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => [1,3,2,2] => 11001010 => 2
([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => [3,2,2,1] => 10010101 => 1
([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => [3,2,1,2] => 10010110 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,1,2,1,2] => 11110110 => 4
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => [1,1,2,1,2,1] => 11101101 => 3
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => 10101100 => 1
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => [1,2,1,2,1,1] => 11011011 => 2
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => [1,3,1,3] => 11001100 => 2
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => [3,1,3,1] => 10011001 => 1
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => [3,1,2,2] => 10011010 => 1
([(3,7),(4,7),(5,7),(6,7)],8) => [1,3,4] => [2,1,2,1,1,1] => 10110111 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => [1,1,2,1,1,2] => 11101110 => 3
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,4,1,1] => [3,1,1,3] => 10011100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,5,1] => [1,2,1,1,1,2] => 11011110 => 2
([],8) => [8] => [1,1,1,1,1,1,1,1] => 11111111 => 8
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => 10101010 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => [1,3,1,1,2] => 11001110 => 2
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => [2,1,2,1,2] => 10110110 => 1
([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => [6,2] => 10000010 => 1
([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => 10010010 => 1
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => [6,2] => 10000010 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => 10010010 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => 11000100 => 2
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => [1,4,1,2] => 11000110 => 2
([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => [1,2,3,2] => 11010010 => 2
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => 11000100 => 2
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => [1,2,2,1,2] => 11010110 => 2
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => [1,4,1,2] => 11000110 => 2
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => [1,1,3,1,2] => 11100110 => 3
([(0,5),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => 10010010 => 1
([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => [1,2,1,2,2] => 11011010 => 2
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => [1,3,1,3] => 11001100 => 2
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => [1,1,2,2,2] => 11101010 => 3
([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => 10101100 => 1
([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => 11000100 => 2
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => 11000100 => 2
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => [1,3,2,2] => 11001010 => 2
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => [1,1,2,1,1,2] => 11101110 => 3
([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => [1,4,3] => 11000100 => 2
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => [1,2,1,4] => 11011000 => 2
([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => 11100000 => 3
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [1,1,1,2,3] => 11110100 => 4
([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => 11100000 => 3
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,5] => 11110000 => 4
([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,1,1] => [1,7] => 11000000 => 2
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,1,1] => [1,1,6] => 11100000 => 3
([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => [1,2,1,4] => 11011000 => 2
([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => [1,1,2,2,2] => 11101010 => 3
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => [1,1,1,1,2,2] => 11111010 => 5
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [3,4,1] => [1,1,2,1,1,2] => 11101110 => 3
([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => [2,1,1,2,2] => 10111010 => 1
([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => 10101010 => 1
([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(4,7),(5,6)],8) => [2,6] => [1,2,1,1,1,1,1] => 11011111 => 2
([(4,7),(5,6),(6,7)],8) => [1,1,1,5] => [4,1,1,1,1] => 10001111 => 1
([(4,6),(4,7),(5,6),(5,7)],8) => [1,2,5] => [2,2,1,1,1,1] => 10101111 => 1
([(2,7),(3,7),(4,6),(5,6)],8) => [2,2,4] => [1,2,2,1,1,1] => 11010111 => 2
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,3] => [6,1,1] => 10000011 => 1
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,3] => [3,1,2,1,1] => 10011011 => 1
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => [3,1,3,1] => 10011001 => 1
([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,4] => [5,1,1,1] => 10000111 => 1
([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,3] => [2,1,1,2,1,1] => 10111011 => 1
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,2] => [2,2,1,2,1] => 10101101 => 1
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => [4,1,2,1] => 10001101 => 1
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => [1,3,1,2,1] => 11001101 => 2
([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,2,2] => [2,1,2,2,1] => 10110101 => 1
([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [1,1,1,2,1,1,1] => 11110111 => 4
([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,4] => [1,1,3,1,1,1] => 11100111 => 3
([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,3] => [3,3,1,1] => 10010011 => 1
([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,3] => [6,1,1] => 10000011 => 1
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => [2,1,3,1,1] => 10110011 => 1
([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => [3,1,3,1] => 10011001 => 1
([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => 10101001 => 1
([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => [1,1,4,1,1] => 11100011 => 3
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,3] => [1,2,1,2,1,1] => 11011011 => 2
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,2,1,2,2] => [2,3,2,1] => 10100101 => 1
([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => 10010001 => 1
([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => 11000001 => 2
([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => [1,2,1,1,2,1] => 11011101 => 2
([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => [1,3,1,2,1] => 11001101 => 2
([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => [1,1,3,2,1] => 11100101 => 3
([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => [1,1,2,2,1,1] => 11101011 => 3
([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => [2,1,4,1] => 10110001 => 1
([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => 11101001 => 3
([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => 11000001 => 2
([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => 11010101 => 2
([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => 11110101 => 4
([(0,7),(1,6),(2,5),(3,4)],8) => [4,4] => [1,1,1,2,1,1,1] => 11110111 => 4
([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [1,4,3] => [2,1,1,2,1,1] => 10111011 => 1
([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => [1,2,1,2,1,1] => 11011011 => 2
([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => [1,3,3,1] => 11001001 => 2
([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => [3,1,3,1] => 10011001 => 1
([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,1,2] => [2,1,1,3,1] => 10111001 => 1
([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => 10101001 => 1
([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => 11101001 => 3
([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,2,3,1] => [1,2,2,1,2] => 11010110 => 2
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,3,1] => [5,1,2] => 10000110 => 1
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,4,1] => [4,1,1,2] => 10001110 => 1
([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => [3,1,1,1,2] => 10011110 => 1
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => [2,2,1,1,2] => 10101110 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => [1,6,1] => [2,1,1,1,1,2] => 10111110 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,4,1,1,1] => [2,1,1,4] => 10111000 => 1
([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => [1,1,2,1,2,1] => 11101101 => 3
([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => [2,4,2] => [1,2,1,1,2,1] => 11011101 => 2
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => 11110101 => 4
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,2,4,1] => [2,2,1,1,2] => 10101110 => 1
([(2,7),(3,5),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,3] => [7,1,1] => 100000011 => 1
([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => [1,1,2,2,1,1] => 11101011 => 3
([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => 11010101 => 2
([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => 11101001 => 3
([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => [2,2,3,1] => 10101001 => 1
([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,2] => [1,1,1,1,3,1] => 11111001 => 5
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,4,1,1] => [1,2,1,1,3] => 11011100 => 2
([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => [2,2,2,2] => 10101010 => 1
([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => [2,2,1,1,2] => 10101110 => 1
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => 11110101 => 4
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,2,1] => 11111101 => 6
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,4,1,1] => [3,1,1,3] => 10011100 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,4,2,1] => [2,1,1,2,2] => 10111010 => 1
([(0,10),(1,7),(2,7),(3,8),(4,9),(5,6),(6,10),(7,9),(8,9),(8,10)],11) => [1,1,1,1,1,1,1,1,1,1,1] => [11] => 10000000000 => 1
([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8) => [1,2,2,2,1] => [2,2,2,2] => 10101010 => 1
([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,8),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,9),(7,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,1),(0,2),(1,4),(2,3),(3,8),(4,9),(5,7),(5,8),(6,7),(6,9),(7,10),(8,10),(9,10)],11) => [1,1,1,1,1,1,1,1,1,1,1] => [11] => 10000000000 => 1
([(0,1),(0,3),(1,2),(2,4),(3,5),(4,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,10),(1,6),(1,10),(2,3),(2,8),(3,9),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(7,10),(8,9)],11) => [1,1,1,1,1,1,1,1,1,1,1] => [11] => 10000000000 => 1
([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,2),(1,9),(2,6),(3,7),(3,9),(4,6),(4,8),(5,7),(6,9),(7,8),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,9),(1,5),(2,9),(2,10),(3,7),(3,10),(4,6),(4,8),(5,7),(6,9),(6,10),(7,8),(8,10)],11) => [1,1,1,1,1,1,1,1,1,1,1] => [11] => 10000000000 => 1
([(0,9),(1,7),(1,8),(2,9),(2,10),(3,4),(3,5),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(8,10)],11) => [1,1,1,1,1,1,1,1,1,1,1] => [11] => 10000000000 => 1
([(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,9),(1,3),(1,8),(2,8),(2,9),(3,5),(4,7),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => [1,1,1,1,1,4] => [6,1,1,1] => 100000111 => 1
([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,1,1,4] => [6,1,1,1] => 100000111 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => [1,2,1,2,2] => 11011010 => 2
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => [3,3,2] => 10010010 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,4,1,1] => [3,1,1,3] => 10011100 => 1
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => [3,2,1,2] => 10010110 => 1
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,1,2] => [1,1,5,1] => 11100001 => 3
([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,1,1,2] => [1,1,1,4,1] => 11110001 => 4
([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [5,1,2] => [1,1,1,1,3,1] => 11111001 => 5
([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,2,2] => [1,1,1,2,2,1] => 11110101 => 4
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => [2,1,2,1,2] => 10110110 => 1
([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => [2,2,2,2] => 10101010 => 1
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => [3,2,1,2] => 10010110 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,5,1] => [3,1,1,1,2] => 10011110 => 1
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => 11010101 => 2
([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => [1,2,2,2,1] => 11010101 => 2
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [2,4,2] => [1,2,1,1,2,1] => 11011101 => 2
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => [2,2,1,2,1] => 10101101 => 1
([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8) => [1,3,3,1] => [2,1,2,1,2] => 10110110 => 1
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,4,2] => [3,1,1,2,1] => 10011101 => 1
([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => [3,4,1] => 10010001 => 1
([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => 10010001 => 1
([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,4,2] => [3,1,1,2,1] => 10011101 => 1
([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => [2,1,2,2,1] => [1,3,2,2] => 11001010 => 2
([(0,7),(0,8),(1,5),(1,6),(2,3),(2,4),(3,6),(3,8),(4,5),(4,7),(5,8),(6,7)],9) => [1,2,1,2,2,1] => [2,3,2,2] => 101001010 => 1
([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,1,2,1] => [2,4,2] => 10100010 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(2,3),(2,6),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,8),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,8),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,8),(4,6),(5,6),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,3),(0,7),(0,8),(1,2),(1,5),(1,6),(2,7),(2,8),(3,5),(3,6),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7)],9) => [1,1,1,1,2,1,1,1] => [5,4] => 100001000 => 1
([(0,9),(1,4),(1,7),(1,8),(2,3),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(0,8),(1,5),(1,6),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7)],9) => [1,2,2,1,2,1] => [2,2,3,2] => 101010010 => 1
([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(0,8),(1,6),(1,8),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,8),(6,7),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => 10010010 => 1
([(0,5),(0,7),(0,8),(1,4),(1,6),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => 100001000 => 1
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,7),(3,5),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,8),(0,9),(1,5),(1,7),(1,9),(2,4),(2,7),(2,8),(3,4),(3,5),(3,7),(4,6),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,6),(0,7),(1,2),(1,3),(1,8),(2,5),(2,7),(3,4),(3,6),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,5),(0,8),(1,4),(1,7),(2,3),(2,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [1,1,1,2,1,1,1,1] => [4,5] => 100010000 => 1
([(0,7),(0,8),(1,5),(1,6),(2,4),(2,6),(2,8),(3,4),(3,5),(3,7),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,4),(2,6),(3,5),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => 100001000 => 1
([(0,7),(0,8),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,8),(5,7),(5,8),(6,7),(6,8)],9) => [2,2,2,2,1] => [1,2,2,2,2] => 110101010 => 2
([(0,7),(0,9),(1,6),(1,8),(2,3),(2,4),(2,5),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,9),(6,9),(7,8),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,6),(0,7),(0,9),(1,4),(1,5),(1,8),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,8),(7,8)],10) => [1,1,1,1,1,1,2,1,1] => [7,3] => 1000000100 => 1
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,2,1] => [3,3,2] => 10010010 => 1
([(0,7),(0,8),(1,6),(1,8),(2,5),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => [1,1,2,1,1,2,1] => [3,4,2] => 100100010 => 1
([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,4),(0,6),(0,7),(1,5),(1,7),(1,8),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(4,5),(4,8),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,8),(4,5),(4,8),(5,7),(6,7),(7,8)],9) => [1,2,1,1,2,1,1] => [2,4,3] => 101000100 => 1
([(0,7),(0,8),(1,4),(1,6),(1,7),(2,3),(2,6),(2,8),(3,5),(3,7),(4,5),(4,8),(5,6),(5,8),(6,7),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,8),(4,5),(4,8),(5,6),(5,7),(6,7),(7,8)],9) => [1,1,1,1,2,1,1,1] => [5,4] => 100001000 => 1
([(0,8),(0,9),(1,6),(1,7),(1,9),(2,5),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,8),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,3),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,9),(2,6),(2,7),(2,9),(3,4),(3,5),(3,9),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8),(8,9)],10) => [1,1,3,1,3,1] => [3,1,3,1,2] => 1001100110 => 1
([(0,1),(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(0,8),(1,5),(1,7),(1,8),(2,4),(2,5),(2,8),(3,4),(3,6),(3,7),(4,7),(4,8),(5,6),(5,7),(6,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,7),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,8),(5,9),(6,7),(6,9),(7,8)],10) => [2,1,2,2,2,1] => [1,3,2,2,2] => 1100101010 => 2
([(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(7,8)],9) => [1,2,2,3,1] => [2,2,2,1,2] => 101010110 => 1
([(0,7),(0,8),(0,9),(1,2),(1,5),(1,6),(1,9),(2,3),(2,4),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,9),(5,7),(5,8),(6,7),(6,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,5),(0,6),(0,9),(1,4),(1,8),(1,9),(2,3),(2,7),(2,9),(3,4),(3,5),(3,8),(4,6),(4,7),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,5),(0,7),(0,9),(1,4),(1,6),(1,9),(2,3),(2,8),(2,9),(3,4),(3,5),(3,9),(4,7),(4,8),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,3] => [3,3,1,1] => 10010011 => 1
([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => [1,4,2,1] => 11000101 => 2
([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => [2,3,2,1] => 10100101 => 1
([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => [1,6,1] => 11000001 => 2
([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => [3,4,1] => 10010001 => 1
([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => [3,2,2,1] => 10010101 => 1
([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => [2,3,2,1] => 10100101 => 1
([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,7),(1,3),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => [2,1,2,2,1] => 10110101 => 1
([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => [1,3,1,2,1] => 11001101 => 2
([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => [1,1,2,3,1] => 11101001 => 3
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => [6,2] => 10000010 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => [2,1,2,3] => 10110100 => 1
([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,2] => [1,2,1,1,2,1] => 11011101 => 2
([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,1,1] => [2,2,1,3] => 10101100 => 1
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,4,1] => [2,2,1,1,2] => 10101110 => 1
([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => [2,1,3,1,1] => 10110011 => 1
([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => [3,4,1] => 10010001 => 1
([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,3),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => [2,2,2,1,1] => 10101011 => 1
([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,2] => [7,1] => 10000001 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => [2,2,2,2] => 10101010 => 1
([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => [2,4,2] => 10100010 => 1
([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,6),(1,5),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => 10101100 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,4,1] => [4,1,1,2] => 10001110 => 1
([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => [1,3,4] => 11001000 => 2
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,3),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,3),(0,4),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,5,1,1] => [2,1,1,1,3] => 10111100 => 1
([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => [4,3,1] => 10001001 => 1
([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,3),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [2,1,1,1,1,1,1,1] => [1,8] => 110000000 => 2
([(0,3),(0,8),(0,9),(1,2),(1,7),(1,9),(2,5),(2,7),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => [10] => 1000000000 => 1
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,1,1,1] => [9] => 100000000 => 1
([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => 100100000 => 1
([(0,2),(0,4),(0,5),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,2,1,1,1,1,1] => [3,6] => 100100000 => 1
([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,5),(2,6),(2,7),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) => [1,1,1,1,1,1,1,1,1,1,1] => [11] => 10000000000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,4,1,2] => [2,1,1,3,1] => 10111001 => 1
([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => [3,2,1,2] => 10010110 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,1,2,2,1] => 11110101 => 4
([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => 10111000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,3),(1,3),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => 10111000 => 1
([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => [2,2,4] => 10101000 => 1
([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => 10101100 => 1
([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => [6,2] => 10000010 => 1
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => [2,2,1,3] => 10101100 => 1
([(2,5),(2,8),(3,4),(3,6),(3,8),(4,6),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [1,1,1,1,1,1,3] => [7,1,1] => 100000011 => 1
([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7)],9) => [1,3,3,2] => [2,1,2,1,2,1] => 101101101 => 1
([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [1,2,1,1,1,2] => [2,5,1] => 10100001 => 1
([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,2] => [2,1,2,2,1] => 10110101 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,4,1] => [4,1,1,2] => 10001110 => 1
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => [1,2,1,3,1] => 11011001 => 2
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => [1,2,2,2,1] => 11010101 => 2
([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,3,1,1] => [4,1,3] => 10001100 => 1
([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => [2,6] => 10100000 => 1
([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,1,1] => [2,1,1,4] => 10111000 => 1
([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => [4,4] => 10001000 => 1
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => [3,2,3] => 10010100 => 1
([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => [3,1,4] => 10011000 => 1
([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => [5,3] => 10000100 => 1
([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => [8] => 10000000 => 1
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => [2,3,3] => 10100100 => 1
([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => [3,5] => 10010000 => 1
([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => [2,1,5] => 10110000 => 1
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Description
The number of leading ones in a binary word.
Map
complement
Description
The complement of a composition.
The complement of a composition I is defined as follows:
If I is the empty composition, then the complement is also the empty composition. Otherwise, let S be the descent set corresponding to I=(i1,…,ik), that is, the subset
{i1,i1+i2,…,i1+i2+⋯+ik−1}
of {1,2,…,|I|−1}. Then, the complement of I is the composition of the same size as I, whose descent set is {1,2,…,|I|−1}∖S.
The complement of a composition I coincides with the reversal (Mp00038reverse) of the composition conjugate (Mp00041conjugate) to I.
Map
Laplacian multiplicities
Description
The composition of multiplicities of the Laplacian eigenvalues.
Let λ1>λ2>… be the eigenvalues of the Laplacian matrix of a graph on n vertices. Then this map returns the composition a1,…,ak of n where ai is the multiplicity of λi.
Map
to binary word
Description
Return the composition as a binary word, treating ones as separators.
Encoding a positive integer i as the word 10…0 consisting of a one followed by i−1 zeros, the binary word of a composition (i1,…,ik) is the concatenation of of words for i1,…,ik.
The image of this map contains precisely the words which do not begin with a 0.