Identifier
Values
[1,0,1,0] => [2,1] => [1] => ([],1) => 0
[1,1,0,0] => [1,2] => [1] => ([],1) => 0
[1,0,1,0,1,0] => [3,2,1] => [2,1] => ([],2) => 0
[1,0,1,1,0,0] => [2,3,1] => [2,1] => ([],2) => 0
[1,1,0,0,1,0] => [3,1,2] => [1,2] => ([(0,1)],2) => 0
[1,1,0,1,0,0] => [2,1,3] => [2,1] => ([],2) => 0
[1,1,1,0,0,0] => [1,2,3] => [1,2] => ([(0,1)],2) => 0
[1,0,1,0,1,0,1,0] => [4,3,2,1] => [3,2,1] => ([],3) => 0
[1,0,1,0,1,1,0,0] => [3,4,2,1] => [3,2,1] => ([],3) => 0
[1,0,1,1,0,1,0,0] => [3,2,4,1] => [3,2,1] => ([],3) => 0
[1,1,0,1,0,0,1,0] => [4,2,1,3] => [2,1,3] => ([(0,2),(1,2)],3) => 0
[1,1,0,1,0,1,0,0] => [3,2,1,4] => [3,2,1] => ([],3) => 0
[1,1,1,0,0,0,1,0] => [4,1,2,3] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[1,1,1,0,1,0,0,0] => [2,1,3,4] => [2,1,3] => ([(0,2),(1,2)],3) => 0
[1,1,1,1,0,0,0,0] => [1,2,3,4] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => [4,3,2,1] => ([],4) => 0
[1,0,1,0,1,0,1,1,0,0] => [4,5,3,2,1] => [4,3,2,1] => ([],4) => 0
[1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => [4,3,2,1] => ([],4) => 0
[1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => [3,2,4,1] => ([(1,3),(2,3)],4) => 0
[1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => [4,3,2,1] => ([],4) => 0
[1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => [2,3,4,1] => ([(1,2),(2,3)],4) => 0
[1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => [3,2,4,1] => ([(1,3),(2,3)],4) => 0
[1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => [2,3,4,1] => ([(1,2),(2,3)],4) => 0
[1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4) => 0
[1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4) => 0
[1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 1
[1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => [4,3,2,1] => ([],4) => 0
[1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4) => 0
[1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => [3,2,4,1] => ([(1,3),(2,3)],4) => 0
[1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => [2,3,4,1] => ([(1,2),(2,3)],4) => 0
[1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4) => 0
[1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4) => 0
[1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4) => 0
[1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4) => 1
[1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => [4,2,1,3] => ([(1,3),(2,3)],4) => 0
[1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 1
[1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4) => 0
[1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => [4,1,2,3] => ([(1,2),(2,3)],4) => 0
[1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4) => 0
[1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4) => 1
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1] => [5,4,3,2,1] => ([],5) => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [5,6,4,3,2,1] => [5,4,3,2,1] => ([],5) => 0
[1,0,1,0,1,0,1,1,0,1,0,0] => [5,4,6,3,2,1] => [5,4,3,2,1] => ([],5) => 0
[1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => [4,3,5,2,1] => ([(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,0,1,0,1,0,0] => [5,4,3,6,2,1] => [5,4,3,2,1] => ([],5) => 0
[1,0,1,0,1,1,1,0,0,0,1,0] => [6,3,4,5,2,1] => [3,4,5,2,1] => ([(2,3),(3,4)],5) => 0
[1,0,1,0,1,1,1,0,1,0,0,0] => [4,3,5,6,2,1] => [4,3,5,2,1] => ([(2,4),(3,4)],5) => 0
[1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,5,6,2,1] => [3,4,5,2,1] => ([(2,3),(3,4)],5) => 0
[1,0,1,1,0,1,0,0,1,0,1,0] => [6,5,3,2,4,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,0,0,1,1,0,0] => [5,6,3,2,4,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,1] => [5,4,3,2,1] => ([],5) => 0
[1,0,1,1,0,1,1,0,0,0,1,0] => [6,3,4,2,5,1] => [3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5) => 0
[1,0,1,1,0,1,1,0,1,0,0,0] => [4,3,5,2,6,1] => [4,3,5,2,1] => ([(2,4),(3,4)],5) => 0
[1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,2,6,1] => [3,4,5,2,1] => ([(2,3),(3,4)],5) => 0
[1,0,1,1,1,0,0,0,1,0,1,0] => [6,5,2,3,4,1] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 0
[1,0,1,1,1,0,0,0,1,1,0,0] => [5,6,2,3,4,1] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 0
[1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1] => [4,2,3,5,1] => ([(1,4),(2,3),(3,4)],5) => 0
[1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1] => [3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5) => 1
[1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 0
[1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => [3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5) => 0
[1,0,1,1,1,1,0,0,0,0,1,0] => [6,2,3,4,5,1] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5) => 0
[1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 0
[1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => [4,2,3,5,1] => ([(1,4),(2,3),(3,4)],5) => 0
[1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => [3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5) => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5) => 0
[1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2] => [4,3,5,1,2] => ([(0,4),(1,4),(2,3)],5) => 0
[1,1,0,0,1,1,1,0,0,0,1,0] => [6,3,4,5,1,2] => [3,4,5,1,2] => ([(0,3),(1,4),(4,2)],5) => 0
[1,1,0,0,1,1,1,0,1,0,0,0] => [4,3,5,6,1,2] => [4,3,5,1,2] => ([(0,4),(1,4),(2,3)],5) => 0
[1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2] => [3,4,5,1,2] => ([(0,3),(1,4),(4,2)],5) => 0
[1,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1,3] => [5,4,2,1,3] => ([(2,4),(3,4)],5) => 0
[1,1,0,1,0,0,1,0,1,1,0,0] => [5,6,4,2,1,3] => [5,4,2,1,3] => ([(2,4),(3,4)],5) => 0
[1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3] => [4,5,2,1,3] => ([(0,4),(1,4),(2,3)],5) => 0
[1,1,0,1,0,0,1,1,0,1,0,0] => [5,4,6,2,1,3] => [5,4,2,1,3] => ([(2,4),(3,4)],5) => 0
[1,1,0,1,0,0,1,1,1,0,0,0] => [4,5,6,2,1,3] => [4,5,2,1,3] => ([(0,4),(1,4),(2,3)],5) => 0
[1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6] => [5,4,3,2,1] => ([],5) => 0
[1,1,0,1,0,1,1,0,0,0,1,0] => [6,3,4,2,1,5] => [3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1
[1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => [4,3,5,2,1] => ([(2,4),(3,4)],5) => 0
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => [3,4,5,2,1] => ([(2,3),(3,4)],5) => 0
[1,1,0,1,1,0,0,0,1,0,1,0] => [6,5,2,3,1,4] => [5,2,3,1,4] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,0,1,1,0,0,0,1,1,0,0] => [5,6,2,3,1,4] => [5,2,3,1,4] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,0,1,1,0,0,1,0,0,1,0] => [6,4,2,3,1,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1
[1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => [3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
[1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 0
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => [3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,0,1,1,1,0,0,0,0,1,0] => [6,2,3,4,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 0
[1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 0
[1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => [4,2,3,5,1] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => [3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5) => 1
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5) => 0
[1,1,1,0,0,0,1,0,1,0,1,0] => [6,5,4,1,2,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5) => 0
[1,1,1,0,0,0,1,0,1,1,0,0] => [5,6,4,1,2,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5) => 0
[1,1,1,0,0,0,1,1,0,0,1,0] => [6,4,5,1,2,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5) => 0
[1,1,1,0,0,0,1,1,0,1,0,0] => [5,4,6,1,2,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5) => 0
[1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5) => 0
[1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4] => [5,3,1,2,4] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,1,0,0,1,0,0,1,1,0,0] => [5,6,3,1,2,4] => [5,3,1,2,4] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => [4,3,1,2,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5] => [3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5) => 0
>>> Load all 467 entries. <<<
[1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => [4,3,5,1,2] => ([(0,4),(1,4),(2,3)],5) => 0
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => [3,4,5,1,2] => ([(0,3),(1,4),(4,2)],5) => 0
[1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5) => 1
[1,1,1,0,1,0,0,0,1,1,0,0] => [5,6,2,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5) => 1
[1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
[1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => [5,4,2,1,3] => ([(2,4),(3,4)],5) => 0
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => [4,5,2,1,3] => ([(0,4),(1,4),(2,3)],5) => 0
[1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 2
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => [3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1
[1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
[1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => [5,2,3,1,4] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => [3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
[1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 0
[1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5) => 0
[1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5) => 0
[1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 0
[1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => [5,4,1,2,3] => ([(2,3),(3,4)],5) => 0
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5) => 0
[1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
[1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => [5,3,1,2,4] => ([(1,4),(2,3),(3,4)],5) => 0
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => [4,3,1,2,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => [3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5) => 0
[1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5) => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 2
[1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
[1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5) => 0
[1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 0
[1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => ([],6) => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [6,7,5,4,3,2,1] => [6,5,4,3,2,1] => ([],6) => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [6,5,7,4,3,2,1] => [6,5,4,3,2,1] => ([],6) => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [7,5,4,6,3,2,1] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [6,5,4,7,3,2,1] => [6,5,4,3,2,1] => ([],6) => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [7,4,5,6,3,2,1] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [5,4,6,7,3,2,1] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,7,3,2,1] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [7,6,4,3,5,2,1] => [6,4,3,5,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [6,7,4,3,5,2,1] => [6,4,3,5,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [6,5,4,3,7,2,1] => [6,5,4,3,2,1] => ([],6) => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [7,4,5,3,6,2,1] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [5,4,6,3,7,2,1] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,3,7,2,1] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [7,6,3,4,5,2,1] => [6,3,4,5,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [6,7,3,4,5,2,1] => [6,3,4,5,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [7,5,3,4,6,2,1] => [5,3,4,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [7,4,3,5,6,2,1] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [6,4,3,5,7,2,1] => [6,4,3,5,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [4,5,3,6,7,2,1] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [7,3,4,5,6,2,1] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [6,3,4,5,7,2,1] => [6,3,4,5,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [5,3,4,6,7,2,1] => [5,3,4,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [4,3,5,6,7,2,1] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,2,1] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,2,3,1] => [5,4,6,2,3,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,2,3,1] => [4,5,6,2,3,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,2,3,1] => [5,4,6,2,3,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,2,3,1] => [4,5,6,2,3,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,2,4,1] => [6,5,3,2,4,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,2,4,1] => [6,5,3,2,4,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,2,4,1] => [5,6,3,2,4,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,2,4,1] => [6,5,3,2,4,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,2,4,1] => [5,6,3,2,4,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,2,7,1] => [6,5,4,3,2,1] => ([],6) => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,2,6,1] => [4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,2,7,1] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,2,7,1] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,2,5,1] => [6,3,4,2,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,2,5,1] => [6,3,4,2,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,2,6,1] => [5,3,4,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,2,6,1] => [4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,2,7,1] => [6,4,3,5,2,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,2,7,1] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,2,6,1] => [3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,2,7,1] => [6,3,4,5,2,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,2,7,1] => [5,3,4,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,2,7,1] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,2,7,1] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,3,4,1] => [6,5,2,3,4,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,3,4,1] => [6,5,2,3,4,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,3,4,1] => [5,6,2,3,4,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,3,4,1] => [6,5,2,3,4,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,3,4,1] => [5,6,2,3,4,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,3,5,1] => [6,4,2,3,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,3,5,1] => [6,4,2,3,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,3,6,1] => [5,4,2,3,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,3,6,1] => [4,5,2,3,6,1] => ([(1,4),(2,3),(3,5),(4,5)],6) => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,3,7,1] => [5,4,6,2,3,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,3,7,1] => [4,5,6,2,3,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,4,5,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,4,5,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,4,6,1] => [5,3,2,4,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,4,7,1] => [6,5,3,2,4,1] => ([(3,5),(4,5)],6) => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,4,7,1] => [5,6,3,2,4,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,6,7,1] => [4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,5,6,1] => [3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,5,7,1] => [6,3,4,2,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,6,7,1] => [5,3,4,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,6,7,1] => [4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,6,7,1] => [3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,4,5,1] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,4,5,1] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,4,6,1] => [5,2,3,4,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,4,7,1] => [6,5,2,3,4,1] => ([(3,4),(4,5)],6) => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,4,7,1] => [5,6,2,3,4,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,5,6,1] => [4,2,3,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,5,7,1] => [6,4,2,3,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,6,7,1] => [5,4,2,3,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,6,7,1] => [4,5,2,3,6,1] => ([(1,4),(2,3),(3,5),(4,5)],6) => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,5,6,1] => [3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6) => 1
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,5,7,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,6,7,1] => [5,3,2,4,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,6,7,1] => [3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6) => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,5,7,1] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,6,7,1] => [5,2,3,4,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,6,7,1] => [4,2,3,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => [3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6) => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6) => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [7,5,4,6,3,1,2] => [5,4,6,3,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [7,4,5,6,3,1,2] => [4,5,6,3,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [5,4,6,7,3,1,2] => [5,4,6,3,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,7,3,1,2] => [4,5,6,3,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [7,6,4,3,5,1,2] => [6,4,3,5,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [6,7,4,3,5,1,2] => [6,4,3,5,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,5,3,6,1,2] => [4,5,3,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [5,4,6,3,7,1,2] => [5,4,6,3,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,3,7,1,2] => [4,5,6,3,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [7,6,3,4,5,1,2] => [6,3,4,5,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [6,7,3,4,5,1,2] => [6,3,4,5,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [7,5,3,4,6,1,2] => [5,3,4,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [7,4,3,5,6,1,2] => [4,3,5,6,1,2] => ([(0,5),(1,5),(2,3),(5,4)],6) => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [6,4,3,5,7,1,2] => [6,4,3,5,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [4,5,3,6,7,1,2] => [4,5,3,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [7,3,4,5,6,1,2] => [3,4,5,6,1,2] => ([(0,5),(1,3),(4,2),(5,4)],6) => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [6,3,4,5,7,1,2] => [6,3,4,5,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [5,3,4,6,7,1,2] => [5,3,4,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [4,3,5,6,7,1,2] => [4,3,5,6,1,2] => ([(0,5),(1,5),(2,3),(5,4)],6) => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2] => [3,4,5,6,1,2] => ([(0,5),(1,3),(4,2),(5,4)],6) => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,2,1,3] => [6,5,4,2,1,3] => ([(3,5),(4,5)],6) => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,2,1,3] => [6,5,4,2,1,3] => ([(3,5),(4,5)],6) => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,2,1,3] => [5,6,4,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,2,1,3] => [6,5,4,2,1,3] => ([(3,5),(4,5)],6) => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,2,1,3] => [5,6,4,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,2,1,3] => [6,4,5,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,2,1,3] => [6,4,5,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,2,1,3] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,2,1,3] => [6,5,4,2,1,3] => ([(3,5),(4,5)],6) => 0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,2,1,3] => [5,6,4,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,2,1,3] => [4,5,6,2,1,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,2,1,3] => [6,4,5,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,2,1,3] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 0
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,2,1,3] => [4,5,6,2,1,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 3
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1] => ([],6) => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,2,1,6] => [4,5,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,2,1,5] => [6,3,4,2,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,2,1,5] => [6,3,4,2,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,2,1,6] => [5,3,4,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,2,1,6] => [4,3,5,2,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,2,1,7] => [6,4,3,5,2,1] => ([(3,5),(4,5)],6) => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,2,1,6] => [3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,2,1,7] => [6,3,4,5,2,1] => ([(3,4),(4,5)],6) => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,2,1,7] => [5,3,4,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,3,1,4] => [6,5,2,3,1,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,3,1,4] => [6,5,2,3,1,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,3,1,4] => [5,6,2,3,1,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,3,1,4] => [6,5,2,3,1,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,3,1,4] => [5,6,2,3,1,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,3,1,5] => [6,4,2,3,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,3,1,5] => [6,4,2,3,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,3,1,6] => [5,4,2,3,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,3,1,6] => [4,5,2,3,1,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,3,1,7] => [5,4,6,2,3,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,3,1,7] => [4,5,6,2,3,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,4,1,5] => [6,3,2,4,1,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,4,1,5] => [6,3,2,4,1,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,4,1,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,4,1,7] => [6,5,3,2,4,1] => ([(3,5),(4,5)],6) => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,4,1,7] => [5,6,3,2,4,1] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,5,1,6] => [3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,5,1,7] => [6,3,4,2,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,6,1,7] => [5,3,4,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,4,1,5] => [6,2,3,4,1,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,4,1,5] => [6,2,3,4,1,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,4,1,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,4,1,7] => [6,5,2,3,4,1] => ([(3,4),(4,5)],6) => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,4,1,7] => [5,6,2,3,4,1] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,5,1,6] => [4,2,3,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,5,1,7] => [6,4,2,3,5,1] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,6,1,7] => [5,4,2,3,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,6,1,7] => [4,5,2,3,6,1] => ([(1,4),(2,3),(3,5),(4,5)],6) => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,5,1,6] => [3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,5,1,7] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,6,1,7] => [5,3,2,4,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,5,1,7] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,6,1,7] => [5,2,3,4,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,6,1,7] => [4,2,3,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6) => 1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6) => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,1,2,3] => [6,5,4,1,2,3] => ([(3,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,1,2,3] => [6,5,4,1,2,3] => ([(3,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,1,2,3] => [5,6,4,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,1,2,3] => [6,5,4,1,2,3] => ([(3,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,1,2,3] => [5,6,4,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,1,2,3] => [6,4,5,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,1,2,3] => [6,4,5,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,1,2,3] => [5,4,6,1,2,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 0
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,1,2,3] => [6,5,4,1,2,3] => ([(3,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,1,2,3] => [5,6,4,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,1,2,3] => [4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6) => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,1,2,3] => [6,4,5,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,1,2,3] => [5,4,6,1,2,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3] => [4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6) => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,1,2,4] => [6,5,3,1,2,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,1,2,4] => [6,5,3,1,2,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,1,2,4] => [5,6,3,1,2,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,1,2,4] => [6,5,3,1,2,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,1,2,4] => [5,6,3,1,2,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [7,6,4,3,1,2,5] => [6,4,3,1,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [6,7,4,3,1,2,5] => [6,4,3,1,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,1,2,6] => [5,4,3,1,2,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,1,2,6] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,1,2,7] => [5,4,6,3,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,1,2,7] => [4,5,6,3,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,1,2,5] => [6,3,4,1,2,5] => ([(1,4),(2,3),(3,5),(4,5)],6) => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,1,2,5] => [6,3,4,1,2,5] => ([(1,4),(2,3),(3,5),(4,5)],6) => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,1,2,6] => [5,3,4,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,1,2,6] => [4,3,5,1,2,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,1,2,7] => [6,4,3,5,1,2] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,1,2,7] => [4,5,3,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,1,2,6] => [3,4,5,1,2,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,1,2,7] => [6,3,4,5,1,2] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,1,2,7] => [5,3,4,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,1,2,7] => [4,3,5,6,1,2] => ([(0,5),(1,5),(2,3),(5,4)],6) => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,1,2,7] => [3,4,5,6,1,2] => ([(0,5),(1,3),(4,2),(5,4)],6) => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,1,3,4] => [6,5,2,1,3,4] => ([(2,5),(3,5),(5,4)],6) => 1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,1,3,4] => [6,5,2,1,3,4] => ([(2,5),(3,5),(5,4)],6) => 1
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,1,3,4] => [5,6,2,1,3,4] => ([(0,5),(1,5),(2,3),(5,4)],6) => 1
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,1,3,4] => [6,5,2,1,3,4] => ([(2,5),(3,5),(5,4)],6) => 1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,1,3,4] => [5,6,2,1,3,4] => ([(0,5),(1,5),(2,3),(5,4)],6) => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,1,3,5] => [6,4,2,1,3,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,1,3,5] => [6,4,2,1,3,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,1,3,6] => [5,4,2,1,3,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [6,5,4,2,1,3,7] => [6,5,4,2,1,3] => ([(3,5),(4,5)],6) => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [5,6,4,2,1,3,7] => [5,6,4,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,1,3,6] => [4,5,2,1,3,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [6,4,5,2,1,3,7] => [6,4,5,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,1,3,7] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 0
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,1,3,7] => [4,5,6,2,1,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [7,4,3,2,1,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 3
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,1,5,6] => [3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,1,5,7] => [6,3,4,2,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,1,6,7] => [5,3,4,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,1,4,5] => [6,2,3,1,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,1,4,5] => [6,2,3,1,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,1,4,6] => [5,2,3,1,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,1,4,7] => [6,5,2,3,1,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,1,4,7] => [5,6,2,3,1,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,1,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,1,5,7] => [6,4,2,3,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,1,6,7] => [5,4,2,3,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,1,6,7] => [4,5,2,3,1,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,1,5,6] => [3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,1,5,7] => [6,3,2,4,1,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,1,6,7] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,1,5,7] => [6,2,3,4,1,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,1,6,7] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,1,6,7] => [4,2,3,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [7,6,5,1,2,3,4] => [6,5,1,2,3,4] => ([(2,3),(3,5),(5,4)],6) => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [6,7,5,1,2,3,4] => [6,5,1,2,3,4] => ([(2,3),(3,5),(5,4)],6) => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [7,5,6,1,2,3,4] => [5,6,1,2,3,4] => ([(0,5),(1,3),(4,2),(5,4)],6) => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [6,5,7,1,2,3,4] => [6,5,1,2,3,4] => ([(2,3),(3,5),(5,4)],6) => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4] => [5,6,1,2,3,4] => ([(0,5),(1,3),(4,2),(5,4)],6) => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [7,6,4,1,2,3,5] => [6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [6,7,4,1,2,3,5] => [6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [7,5,4,1,2,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [6,5,4,1,2,3,7] => [6,5,4,1,2,3] => ([(3,4),(4,5)],6) => 0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [5,6,4,1,2,3,7] => [5,6,4,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [7,4,5,1,2,3,6] => [4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [6,4,5,1,2,3,7] => [6,4,5,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [5,4,6,1,2,3,7] => [5,4,6,1,2,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 0
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => [4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6) => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [7,6,3,1,2,4,5] => [6,3,1,2,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [6,7,3,1,2,4,5] => [6,3,1,2,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [7,5,3,1,2,4,6] => [5,3,1,2,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [6,5,3,1,2,4,7] => [6,5,3,1,2,4] => ([(2,5),(3,4),(4,5)],6) => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [5,6,3,1,2,4,7] => [5,6,3,1,2,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [7,4,3,1,2,5,6] => [4,3,1,2,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [6,4,3,1,2,5,7] => [6,4,3,1,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1,2,6,7] => [5,4,3,1,2,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,5,3,1,2,6,7] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,1,2,5,6] => [3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [6,3,4,1,2,5,7] => [6,3,4,1,2,5] => ([(1,4),(2,3),(3,5),(4,5)],6) => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [5,3,4,1,2,6,7] => [5,3,4,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,5,1,2,6,7] => [4,3,5,1,2,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [3,4,5,1,2,6,7] => [3,4,5,1,2,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [7,6,2,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6) => 1
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [6,7,2,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6) => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [7,5,2,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [6,5,2,1,3,4,7] => [6,5,2,1,3,4] => ([(2,5),(3,5),(5,4)],6) => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,6,2,1,3,4,7] => [5,6,2,1,3,4] => ([(0,5),(1,5),(2,3),(5,4)],6) => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [6,4,2,1,3,5,7] => [6,4,2,1,3,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,4,2,1,3,6,7] => [5,4,2,1,3,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,5,2,1,3,6,7] => [4,5,2,1,3,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [7,3,2,1,4,5,6] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 2
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [7,2,3,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [6,2,3,1,4,5,7] => [6,2,3,1,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,2,3,1,4,6,7] => [5,2,3,1,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,3,1,5,6,7] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [7,6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6) => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6) => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [6,5,1,2,3,4,7] => [6,5,1,2,3,4] => ([(2,3),(3,5),(5,4)],6) => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,6,1,2,3,4,7] => [5,6,1,2,3,4] => ([(0,5),(1,3),(4,2),(5,4)],6) => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [6,4,1,2,3,5,7] => [6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,2,3,6,7] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [4,5,1,2,3,6,7] => [4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [6,3,1,2,4,5,7] => [6,3,1,2,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,2,4,6,7] => [5,3,1,2,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,2,5,6,7] => [4,3,1,2,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => [3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,3,4,5,7] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6) => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,3,4,6,7] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,3,5,6,7] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6) => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The interval resolution global dimension of a poset.
This is the cardinality of the longest chain of right minimal approximations by interval modules of an indecomposable module over the incidence algebra.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.