Identifier
Mp00253:
Decorated permutations
—permutation⟶
Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
[+]=>[1]=>[]=>[]
[-]=>[1]=>[]=>[]
[+,+]=>[1,2]=>[1]=>[1]
[-,+]=>[1,2]=>[1]=>[1]
[+,-]=>[1,2]=>[1]=>[1]
[-,-]=>[1,2]=>[1]=>[1]
[2,1]=>[2,1]=>[1]=>[1]
[+,+,+]=>[1,2,3]=>[1,2]=>[1,2]
[-,+,+]=>[1,2,3]=>[1,2]=>[1,2]
[+,-,+]=>[1,2,3]=>[1,2]=>[1,2]
[+,+,-]=>[1,2,3]=>[1,2]=>[1,2]
[-,-,+]=>[1,2,3]=>[1,2]=>[1,2]
[-,+,-]=>[1,2,3]=>[1,2]=>[1,2]
[+,-,-]=>[1,2,3]=>[1,2]=>[1,2]
[-,-,-]=>[1,2,3]=>[1,2]=>[1,2]
[+,3,2]=>[1,3,2]=>[1,2]=>[1,2]
[-,3,2]=>[1,3,2]=>[1,2]=>[1,2]
[2,1,+]=>[2,1,3]=>[2,1]=>[2,1]
[2,1,-]=>[2,1,3]=>[2,1]=>[2,1]
[2,3,1]=>[2,3,1]=>[2,1]=>[2,1]
[3,1,2]=>[3,1,2]=>[1,2]=>[1,2]
[3,+,1]=>[3,2,1]=>[2,1]=>[2,1]
[3,-,1]=>[3,2,1]=>[2,1]=>[2,1]
[+,+,+,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,+,+,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,-,+,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,+,-,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,+,+,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,-,+,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,+,-,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,+,+,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,-,-,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,-,+,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,+,-,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,-,-,+]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,-,+,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,+,-,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,-,-,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[-,-,-,-]=>[1,2,3,4]=>[1,2,3]=>[1,2,3]
[+,+,4,3]=>[1,2,4,3]=>[1,2,3]=>[1,2,3]
[-,+,4,3]=>[1,2,4,3]=>[1,2,3]=>[1,2,3]
[+,-,4,3]=>[1,2,4,3]=>[1,2,3]=>[1,2,3]
[-,-,4,3]=>[1,2,4,3]=>[1,2,3]=>[1,2,3]
[+,3,2,+]=>[1,3,2,4]=>[1,3,2]=>[1,3,2]
[-,3,2,+]=>[1,3,2,4]=>[1,3,2]=>[1,3,2]
[+,3,2,-]=>[1,3,2,4]=>[1,3,2]=>[1,3,2]
[-,3,2,-]=>[1,3,2,4]=>[1,3,2]=>[1,3,2]
[+,3,4,2]=>[1,3,4,2]=>[1,3,2]=>[1,3,2]
[-,3,4,2]=>[1,3,4,2]=>[1,3,2]=>[1,3,2]
[+,4,2,3]=>[1,4,2,3]=>[1,2,3]=>[1,2,3]
[-,4,2,3]=>[1,4,2,3]=>[1,2,3]=>[1,2,3]
[+,4,+,2]=>[1,4,3,2]=>[1,3,2]=>[1,3,2]
[-,4,+,2]=>[1,4,3,2]=>[1,3,2]=>[1,3,2]
[+,4,-,2]=>[1,4,3,2]=>[1,3,2]=>[1,3,2]
[-,4,-,2]=>[1,4,3,2]=>[1,3,2]=>[1,3,2]
[2,1,+,+]=>[2,1,3,4]=>[2,1,3]=>[2,1,3]
[2,1,-,+]=>[2,1,3,4]=>[2,1,3]=>[2,1,3]
[2,1,+,-]=>[2,1,3,4]=>[2,1,3]=>[2,1,3]
[2,1,-,-]=>[2,1,3,4]=>[2,1,3]=>[2,1,3]
[2,1,4,3]=>[2,1,4,3]=>[2,1,3]=>[2,1,3]
[2,3,1,+]=>[2,3,1,4]=>[2,3,1]=>[3,2,1]
[2,3,1,-]=>[2,3,1,4]=>[2,3,1]=>[3,2,1]
[2,3,4,1]=>[2,3,4,1]=>[2,3,1]=>[3,2,1]
[2,4,1,3]=>[2,4,1,3]=>[2,1,3]=>[2,1,3]
[2,4,+,1]=>[2,4,3,1]=>[2,3,1]=>[3,2,1]
[2,4,-,1]=>[2,4,3,1]=>[2,3,1]=>[3,2,1]
[3,1,2,+]=>[3,1,2,4]=>[3,1,2]=>[3,1,2]
[3,1,2,-]=>[3,1,2,4]=>[3,1,2]=>[3,1,2]
[3,1,4,2]=>[3,1,4,2]=>[3,1,2]=>[3,1,2]
[3,+,1,+]=>[3,2,1,4]=>[3,2,1]=>[2,3,1]
[3,-,1,+]=>[3,2,1,4]=>[3,2,1]=>[2,3,1]
[3,+,1,-]=>[3,2,1,4]=>[3,2,1]=>[2,3,1]
[3,-,1,-]=>[3,2,1,4]=>[3,2,1]=>[2,3,1]
[3,+,4,1]=>[3,2,4,1]=>[3,2,1]=>[2,3,1]
[3,-,4,1]=>[3,2,4,1]=>[3,2,1]=>[2,3,1]
[3,4,1,2]=>[3,4,1,2]=>[3,1,2]=>[3,1,2]
[3,4,2,1]=>[3,4,2,1]=>[3,2,1]=>[2,3,1]
[4,1,2,3]=>[4,1,2,3]=>[1,2,3]=>[1,2,3]
[4,1,+,2]=>[4,1,3,2]=>[1,3,2]=>[1,3,2]
[4,1,-,2]=>[4,1,3,2]=>[1,3,2]=>[1,3,2]
[4,+,1,3]=>[4,2,1,3]=>[2,1,3]=>[2,1,3]
[4,-,1,3]=>[4,2,1,3]=>[2,1,3]=>[2,1,3]
[4,+,+,1]=>[4,2,3,1]=>[2,3,1]=>[3,2,1]
[4,-,+,1]=>[4,2,3,1]=>[2,3,1]=>[3,2,1]
[4,+,-,1]=>[4,2,3,1]=>[2,3,1]=>[3,2,1]
[4,-,-,1]=>[4,2,3,1]=>[2,3,1]=>[3,2,1]
[4,3,1,2]=>[4,3,1,2]=>[3,1,2]=>[3,1,2]
[4,3,2,1]=>[4,3,2,1]=>[3,2,1]=>[2,3,1]
[+,+,+,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,+,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,+,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,-,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,+,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,+,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,+,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,-,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,+,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,+,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,-,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,+,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,+,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,-,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,-,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,+,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,-,+,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,+,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,+,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,-,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,-,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,+,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,-,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,-,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,+,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,-,-,+]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,-,+,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,+,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,+,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[-,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4]
[+,+,+,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[-,+,+,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[+,-,+,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[+,+,-,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[-,-,+,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[-,+,-,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[+,-,-,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[-,-,-,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>[1,2,3,4]
[+,+,4,3,+]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[-,+,4,3,+]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[+,-,4,3,+]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[+,+,4,3,-]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[-,-,4,3,+]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[-,+,4,3,-]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[+,-,4,3,-]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[-,-,4,3,-]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3]
[+,+,4,5,3]=>[1,2,4,5,3]=>[1,2,4,3]=>[1,2,4,3]
[-,+,4,5,3]=>[1,2,4,5,3]=>[1,2,4,3]=>[1,2,4,3]
[+,-,4,5,3]=>[1,2,4,5,3]=>[1,2,4,3]=>[1,2,4,3]
[-,-,4,5,3]=>[1,2,4,5,3]=>[1,2,4,3]=>[1,2,4,3]
[+,+,5,3,4]=>[1,2,5,3,4]=>[1,2,3,4]=>[1,2,3,4]
[-,+,5,3,4]=>[1,2,5,3,4]=>[1,2,3,4]=>[1,2,3,4]
[+,-,5,3,4]=>[1,2,5,3,4]=>[1,2,3,4]=>[1,2,3,4]
[-,-,5,3,4]=>[1,2,5,3,4]=>[1,2,3,4]=>[1,2,3,4]
[+,+,5,+,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[-,+,5,+,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[+,-,5,+,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[+,+,5,-,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[-,-,5,+,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[-,+,5,-,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[+,-,5,-,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[-,-,5,-,3]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3]
[+,3,2,+,+]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[-,3,2,+,+]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[+,3,2,-,+]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[+,3,2,+,-]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[-,3,2,-,+]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[-,3,2,+,-]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[+,3,2,-,-]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[-,3,2,-,-]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4]
[+,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,4]=>[1,3,2,4]
[-,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,4]=>[1,3,2,4]
[+,3,4,2,+]=>[1,3,4,2,5]=>[1,3,4,2]=>[1,4,3,2]
[-,3,4,2,+]=>[1,3,4,2,5]=>[1,3,4,2]=>[1,4,3,2]
[+,3,4,2,-]=>[1,3,4,2,5]=>[1,3,4,2]=>[1,4,3,2]
[-,3,4,2,-]=>[1,3,4,2,5]=>[1,3,4,2]=>[1,4,3,2]
[+,3,4,5,2]=>[1,3,4,5,2]=>[1,3,4,2]=>[1,4,3,2]
[-,3,4,5,2]=>[1,3,4,5,2]=>[1,3,4,2]=>[1,4,3,2]
[+,3,5,2,4]=>[1,3,5,2,4]=>[1,3,2,4]=>[1,3,2,4]
[-,3,5,2,4]=>[1,3,5,2,4]=>[1,3,2,4]=>[1,3,2,4]
[+,3,5,+,2]=>[1,3,5,4,2]=>[1,3,4,2]=>[1,4,3,2]
[-,3,5,+,2]=>[1,3,5,4,2]=>[1,3,4,2]=>[1,4,3,2]
[+,3,5,-,2]=>[1,3,5,4,2]=>[1,3,4,2]=>[1,4,3,2]
[-,3,5,-,2]=>[1,3,5,4,2]=>[1,3,4,2]=>[1,4,3,2]
[+,4,2,3,+]=>[1,4,2,3,5]=>[1,4,2,3]=>[1,4,2,3]
[-,4,2,3,+]=>[1,4,2,3,5]=>[1,4,2,3]=>[1,4,2,3]
[+,4,2,3,-]=>[1,4,2,3,5]=>[1,4,2,3]=>[1,4,2,3]
[-,4,2,3,-]=>[1,4,2,3,5]=>[1,4,2,3]=>[1,4,2,3]
[+,4,2,5,3]=>[1,4,2,5,3]=>[1,4,2,3]=>[1,4,2,3]
[-,4,2,5,3]=>[1,4,2,5,3]=>[1,4,2,3]=>[1,4,2,3]
[+,4,+,2,+]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[-,4,+,2,+]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[+,4,-,2,+]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[+,4,+,2,-]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[-,4,-,2,+]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[-,4,+,2,-]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[+,4,-,2,-]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[-,4,-,2,-]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2]
[+,4,+,5,2]=>[1,4,3,5,2]=>[1,4,3,2]=>[1,3,4,2]
[-,4,+,5,2]=>[1,4,3,5,2]=>[1,4,3,2]=>[1,3,4,2]
[+,4,-,5,2]=>[1,4,3,5,2]=>[1,4,3,2]=>[1,3,4,2]
[-,4,-,5,2]=>[1,4,3,5,2]=>[1,4,3,2]=>[1,3,4,2]
[+,4,5,2,3]=>[1,4,5,2,3]=>[1,4,2,3]=>[1,4,2,3]
[-,4,5,2,3]=>[1,4,5,2,3]=>[1,4,2,3]=>[1,4,2,3]
[+,4,5,3,2]=>[1,4,5,3,2]=>[1,4,3,2]=>[1,3,4,2]
[-,4,5,3,2]=>[1,4,5,3,2]=>[1,4,3,2]=>[1,3,4,2]
[+,5,2,3,4]=>[1,5,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[-,5,2,3,4]=>[1,5,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[+,5,2,+,3]=>[1,5,2,4,3]=>[1,2,4,3]=>[1,2,4,3]
[-,5,2,+,3]=>[1,5,2,4,3]=>[1,2,4,3]=>[1,2,4,3]
[+,5,2,-,3]=>[1,5,2,4,3]=>[1,2,4,3]=>[1,2,4,3]
[-,5,2,-,3]=>[1,5,2,4,3]=>[1,2,4,3]=>[1,2,4,3]
[+,5,+,2,4]=>[1,5,3,2,4]=>[1,3,2,4]=>[1,3,2,4]
[-,5,+,2,4]=>[1,5,3,2,4]=>[1,3,2,4]=>[1,3,2,4]
[+,5,-,2,4]=>[1,5,3,2,4]=>[1,3,2,4]=>[1,3,2,4]
[-,5,-,2,4]=>[1,5,3,2,4]=>[1,3,2,4]=>[1,3,2,4]
[+,5,+,+,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[-,5,+,+,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[+,5,-,+,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[+,5,+,-,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[-,5,-,+,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[-,5,+,-,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[+,5,-,-,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[-,5,-,-,2]=>[1,5,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[+,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,3]=>[1,4,2,3]
[-,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,3]=>[1,4,2,3]
[+,5,4,3,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[1,3,4,2]
[-,5,4,3,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[1,3,4,2]
[2,1,+,+,+]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,-,+,+]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,+,-,+]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,+,+,-]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,-,-,+]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,-,+,-]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,+,-,-]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,-,-,-]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4]
[2,1,+,5,4]=>[2,1,3,5,4]=>[2,1,3,4]=>[2,1,3,4]
[2,1,-,5,4]=>[2,1,3,5,4]=>[2,1,3,4]=>[2,1,3,4]
[2,1,4,3,+]=>[2,1,4,3,5]=>[2,1,4,3]=>[2,1,4,3]
[2,1,4,3,-]=>[2,1,4,3,5]=>[2,1,4,3]=>[2,1,4,3]
[2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,4,3]=>[2,1,4,3]
[2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,3,4]=>[2,1,3,4]
[2,1,5,+,3]=>[2,1,5,4,3]=>[2,1,4,3]=>[2,1,4,3]
[2,1,5,-,3]=>[2,1,5,4,3]=>[2,1,4,3]=>[2,1,4,3]
[2,3,1,+,+]=>[2,3,1,4,5]=>[2,3,1,4]=>[3,2,1,4]
[2,3,1,-,+]=>[2,3,1,4,5]=>[2,3,1,4]=>[3,2,1,4]
[2,3,1,+,-]=>[2,3,1,4,5]=>[2,3,1,4]=>[3,2,1,4]
[2,3,1,-,-]=>[2,3,1,4,5]=>[2,3,1,4]=>[3,2,1,4]
[2,3,1,5,4]=>[2,3,1,5,4]=>[2,3,1,4]=>[3,2,1,4]
[2,3,4,1,+]=>[2,3,4,1,5]=>[2,3,4,1]=>[4,2,3,1]
[2,3,4,1,-]=>[2,3,4,1,5]=>[2,3,4,1]=>[4,2,3,1]
[2,3,4,5,1]=>[2,3,4,5,1]=>[2,3,4,1]=>[4,2,3,1]
[2,3,5,1,4]=>[2,3,5,1,4]=>[2,3,1,4]=>[3,2,1,4]
[2,3,5,+,1]=>[2,3,5,4,1]=>[2,3,4,1]=>[4,2,3,1]
[2,3,5,-,1]=>[2,3,5,4,1]=>[2,3,4,1]=>[4,2,3,1]
[2,4,1,3,+]=>[2,4,1,3,5]=>[2,4,1,3]=>[4,2,1,3]
[2,4,1,3,-]=>[2,4,1,3,5]=>[2,4,1,3]=>[4,2,1,3]
[2,4,1,5,3]=>[2,4,1,5,3]=>[2,4,1,3]=>[4,2,1,3]
[2,4,+,1,+]=>[2,4,3,1,5]=>[2,4,3,1]=>[3,2,4,1]
[2,4,-,1,+]=>[2,4,3,1,5]=>[2,4,3,1]=>[3,2,4,1]
[2,4,+,1,-]=>[2,4,3,1,5]=>[2,4,3,1]=>[3,2,4,1]
[2,4,-,1,-]=>[2,4,3,1,5]=>[2,4,3,1]=>[3,2,4,1]
[2,4,+,5,1]=>[2,4,3,5,1]=>[2,4,3,1]=>[3,2,4,1]
[2,4,-,5,1]=>[2,4,3,5,1]=>[2,4,3,1]=>[3,2,4,1]
[2,4,5,1,3]=>[2,4,5,1,3]=>[2,4,1,3]=>[4,2,1,3]
[2,4,5,3,1]=>[2,4,5,3,1]=>[2,4,3,1]=>[3,2,4,1]
[2,5,1,3,4]=>[2,5,1,3,4]=>[2,1,3,4]=>[2,1,3,4]
[2,5,1,+,3]=>[2,5,1,4,3]=>[2,1,4,3]=>[2,1,4,3]
[2,5,1,-,3]=>[2,5,1,4,3]=>[2,1,4,3]=>[2,1,4,3]
[2,5,+,1,4]=>[2,5,3,1,4]=>[2,3,1,4]=>[3,2,1,4]
[2,5,-,1,4]=>[2,5,3,1,4]=>[2,3,1,4]=>[3,2,1,4]
[2,5,+,+,1]=>[2,5,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[2,5,-,+,1]=>[2,5,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[2,5,+,-,1]=>[2,5,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[2,5,-,-,1]=>[2,5,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[2,5,4,1,3]=>[2,5,4,1,3]=>[2,4,1,3]=>[4,2,1,3]
[2,5,4,3,1]=>[2,5,4,3,1]=>[2,4,3,1]=>[3,2,4,1]
[3,1,2,+,+]=>[3,1,2,4,5]=>[3,1,2,4]=>[3,1,2,4]
[3,1,2,-,+]=>[3,1,2,4,5]=>[3,1,2,4]=>[3,1,2,4]
[3,1,2,+,-]=>[3,1,2,4,5]=>[3,1,2,4]=>[3,1,2,4]
[3,1,2,-,-]=>[3,1,2,4,5]=>[3,1,2,4]=>[3,1,2,4]
[3,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,4]=>[3,1,2,4]
[3,1,4,2,+]=>[3,1,4,2,5]=>[3,1,4,2]=>[3,4,1,2]
[3,1,4,2,-]=>[3,1,4,2,5]=>[3,1,4,2]=>[3,4,1,2]
[3,1,4,5,2]=>[3,1,4,5,2]=>[3,1,4,2]=>[3,4,1,2]
[3,1,5,2,4]=>[3,1,5,2,4]=>[3,1,2,4]=>[3,1,2,4]
[3,1,5,+,2]=>[3,1,5,4,2]=>[3,1,4,2]=>[3,4,1,2]
[3,1,5,-,2]=>[3,1,5,4,2]=>[3,1,4,2]=>[3,4,1,2]
[3,+,1,+,+]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,-,1,+,+]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,+,1,-,+]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,+,1,+,-]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,-,1,-,+]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,-,1,+,-]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,+,1,-,-]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,-,1,-,-]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4]
[3,+,1,5,4]=>[3,2,1,5,4]=>[3,2,1,4]=>[2,3,1,4]
[3,-,1,5,4]=>[3,2,1,5,4]=>[3,2,1,4]=>[2,3,1,4]
[3,+,4,1,+]=>[3,2,4,1,5]=>[3,2,4,1]=>[4,3,2,1]
[3,-,4,1,+]=>[3,2,4,1,5]=>[3,2,4,1]=>[4,3,2,1]
[3,+,4,1,-]=>[3,2,4,1,5]=>[3,2,4,1]=>[4,3,2,1]
[3,-,4,1,-]=>[3,2,4,1,5]=>[3,2,4,1]=>[4,3,2,1]
[3,+,4,5,1]=>[3,2,4,5,1]=>[3,2,4,1]=>[4,3,2,1]
[3,-,4,5,1]=>[3,2,4,5,1]=>[3,2,4,1]=>[4,3,2,1]
[3,+,5,1,4]=>[3,2,5,1,4]=>[3,2,1,4]=>[2,3,1,4]
[3,-,5,1,4]=>[3,2,5,1,4]=>[3,2,1,4]=>[2,3,1,4]
[3,+,5,+,1]=>[3,2,5,4,1]=>[3,2,4,1]=>[4,3,2,1]
[3,-,5,+,1]=>[3,2,5,4,1]=>[3,2,4,1]=>[4,3,2,1]
[3,+,5,-,1]=>[3,2,5,4,1]=>[3,2,4,1]=>[4,3,2,1]
[3,-,5,-,1]=>[3,2,5,4,1]=>[3,2,4,1]=>[4,3,2,1]
[3,4,1,2,+]=>[3,4,1,2,5]=>[3,4,1,2]=>[4,1,3,2]
[3,4,1,2,-]=>[3,4,1,2,5]=>[3,4,1,2]=>[4,1,3,2]
[3,4,1,5,2]=>[3,4,1,5,2]=>[3,4,1,2]=>[4,1,3,2]
[3,4,2,1,+]=>[3,4,2,1,5]=>[3,4,2,1]=>[2,4,3,1]
[3,4,2,1,-]=>[3,4,2,1,5]=>[3,4,2,1]=>[2,4,3,1]
[3,4,2,5,1]=>[3,4,2,5,1]=>[3,4,2,1]=>[2,4,3,1]
[3,4,5,1,2]=>[3,4,5,1,2]=>[3,4,1,2]=>[4,1,3,2]
[3,4,5,2,1]=>[3,4,5,2,1]=>[3,4,2,1]=>[2,4,3,1]
[3,5,1,2,4]=>[3,5,1,2,4]=>[3,1,2,4]=>[3,1,2,4]
[3,5,1,+,2]=>[3,5,1,4,2]=>[3,1,4,2]=>[3,4,1,2]
[3,5,1,-,2]=>[3,5,1,4,2]=>[3,1,4,2]=>[3,4,1,2]
[3,5,2,1,4]=>[3,5,2,1,4]=>[3,2,1,4]=>[2,3,1,4]
[3,5,2,+,1]=>[3,5,2,4,1]=>[3,2,4,1]=>[4,3,2,1]
[3,5,2,-,1]=>[3,5,2,4,1]=>[3,2,4,1]=>[4,3,2,1]
[3,5,4,1,2]=>[3,5,4,1,2]=>[3,4,1,2]=>[4,1,3,2]
[3,5,4,2,1]=>[3,5,4,2,1]=>[3,4,2,1]=>[2,4,3,1]
[4,1,2,3,+]=>[4,1,2,3,5]=>[4,1,2,3]=>[4,1,2,3]
[4,1,2,3,-]=>[4,1,2,3,5]=>[4,1,2,3]=>[4,1,2,3]
[4,1,2,5,3]=>[4,1,2,5,3]=>[4,1,2,3]=>[4,1,2,3]
[4,1,+,2,+]=>[4,1,3,2,5]=>[4,1,3,2]=>[4,3,1,2]
[4,1,-,2,+]=>[4,1,3,2,5]=>[4,1,3,2]=>[4,3,1,2]
[4,1,+,2,-]=>[4,1,3,2,5]=>[4,1,3,2]=>[4,3,1,2]
[4,1,-,2,-]=>[4,1,3,2,5]=>[4,1,3,2]=>[4,3,1,2]
[4,1,+,5,2]=>[4,1,3,5,2]=>[4,1,3,2]=>[4,3,1,2]
[4,1,-,5,2]=>[4,1,3,5,2]=>[4,1,3,2]=>[4,3,1,2]
[4,1,5,2,3]=>[4,1,5,2,3]=>[4,1,2,3]=>[4,1,2,3]
[4,1,5,3,2]=>[4,1,5,3,2]=>[4,1,3,2]=>[4,3,1,2]
[4,+,1,3,+]=>[4,2,1,3,5]=>[4,2,1,3]=>[2,4,1,3]
[4,-,1,3,+]=>[4,2,1,3,5]=>[4,2,1,3]=>[2,4,1,3]
[4,+,1,3,-]=>[4,2,1,3,5]=>[4,2,1,3]=>[2,4,1,3]
[4,-,1,3,-]=>[4,2,1,3,5]=>[4,2,1,3]=>[2,4,1,3]
[4,+,1,5,3]=>[4,2,1,5,3]=>[4,2,1,3]=>[2,4,1,3]
[4,-,1,5,3]=>[4,2,1,5,3]=>[4,2,1,3]=>[2,4,1,3]
[4,+,+,1,+]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,-,+,1,+]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,+,-,1,+]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,+,+,1,-]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,-,-,1,+]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,-,+,1,-]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,+,-,1,-]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,-,-,1,-]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1]
[4,+,+,5,1]=>[4,2,3,5,1]=>[4,2,3,1]=>[3,4,2,1]
[4,-,+,5,1]=>[4,2,3,5,1]=>[4,2,3,1]=>[3,4,2,1]
[4,+,-,5,1]=>[4,2,3,5,1]=>[4,2,3,1]=>[3,4,2,1]
[4,-,-,5,1]=>[4,2,3,5,1]=>[4,2,3,1]=>[3,4,2,1]
[4,+,5,1,3]=>[4,2,5,1,3]=>[4,2,1,3]=>[2,4,1,3]
[4,-,5,1,3]=>[4,2,5,1,3]=>[4,2,1,3]=>[2,4,1,3]
[4,+,5,3,1]=>[4,2,5,3,1]=>[4,2,3,1]=>[3,4,2,1]
[4,-,5,3,1]=>[4,2,5,3,1]=>[4,2,3,1]=>[3,4,2,1]
[4,3,1,2,+]=>[4,3,1,2,5]=>[4,3,1,2]=>[3,1,4,2]
[4,3,1,2,-]=>[4,3,1,2,5]=>[4,3,1,2]=>[3,1,4,2]
[4,3,1,5,2]=>[4,3,1,5,2]=>[4,3,1,2]=>[3,1,4,2]
[4,3,2,1,+]=>[4,3,2,1,5]=>[4,3,2,1]=>[2,3,4,1]
[4,3,2,1,-]=>[4,3,2,1,5]=>[4,3,2,1]=>[2,3,4,1]
[4,3,2,5,1]=>[4,3,2,5,1]=>[4,3,2,1]=>[2,3,4,1]
[4,3,5,1,2]=>[4,3,5,1,2]=>[4,3,1,2]=>[3,1,4,2]
[4,3,5,2,1]=>[4,3,5,2,1]=>[4,3,2,1]=>[2,3,4,1]
[4,5,1,2,3]=>[4,5,1,2,3]=>[4,1,2,3]=>[4,1,2,3]
[4,5,1,3,2]=>[4,5,1,3,2]=>[4,1,3,2]=>[4,3,1,2]
[4,5,2,1,3]=>[4,5,2,1,3]=>[4,2,1,3]=>[2,4,1,3]
[4,5,2,3,1]=>[4,5,2,3,1]=>[4,2,3,1]=>[3,4,2,1]
[4,5,+,1,2]=>[4,5,3,1,2]=>[4,3,1,2]=>[3,1,4,2]
[4,5,-,1,2]=>[4,5,3,1,2]=>[4,3,1,2]=>[3,1,4,2]
[4,5,+,2,1]=>[4,5,3,2,1]=>[4,3,2,1]=>[2,3,4,1]
[4,5,-,2,1]=>[4,5,3,2,1]=>[4,3,2,1]=>[2,3,4,1]
[5,1,2,3,4]=>[5,1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[5,1,2,+,3]=>[5,1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]
[5,1,2,-,3]=>[5,1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]
[5,1,+,2,4]=>[5,1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]
[5,1,-,2,4]=>[5,1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]
[5,1,+,+,2]=>[5,1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[5,1,-,+,2]=>[5,1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[5,1,+,-,2]=>[5,1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[5,1,-,-,2]=>[5,1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]
[5,1,4,2,3]=>[5,1,4,2,3]=>[1,4,2,3]=>[1,4,2,3]
[5,1,4,3,2]=>[5,1,4,3,2]=>[1,4,3,2]=>[1,3,4,2]
[5,+,1,3,4]=>[5,2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]
[5,-,1,3,4]=>[5,2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]
[5,+,1,+,3]=>[5,2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]
[5,-,1,+,3]=>[5,2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]
[5,+,1,-,3]=>[5,2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]
[5,-,1,-,3]=>[5,2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]
[5,+,+,1,4]=>[5,2,3,1,4]=>[2,3,1,4]=>[3,2,1,4]
[5,-,+,1,4]=>[5,2,3,1,4]=>[2,3,1,4]=>[3,2,1,4]
[5,+,-,1,4]=>[5,2,3,1,4]=>[2,3,1,4]=>[3,2,1,4]
[5,-,-,1,4]=>[5,2,3,1,4]=>[2,3,1,4]=>[3,2,1,4]
[5,+,+,+,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,-,+,+,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,+,-,+,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,+,+,-,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,-,-,+,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,-,+,-,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,+,-,-,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,-,-,-,1]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[5,+,4,1,3]=>[5,2,4,1,3]=>[2,4,1,3]=>[4,2,1,3]
[5,-,4,1,3]=>[5,2,4,1,3]=>[2,4,1,3]=>[4,2,1,3]
[5,+,4,3,1]=>[5,2,4,3,1]=>[2,4,3,1]=>[3,2,4,1]
[5,-,4,3,1]=>[5,2,4,3,1]=>[2,4,3,1]=>[3,2,4,1]
[5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,2,4]=>[3,1,2,4]
[5,3,1,+,2]=>[5,3,1,4,2]=>[3,1,4,2]=>[3,4,1,2]
[5,3,1,-,2]=>[5,3,1,4,2]=>[3,1,4,2]=>[3,4,1,2]
[5,3,2,1,4]=>[5,3,2,1,4]=>[3,2,1,4]=>[2,3,1,4]
[5,3,2,+,1]=>[5,3,2,4,1]=>[3,2,4,1]=>[4,3,2,1]
[5,3,2,-,1]=>[5,3,2,4,1]=>[3,2,4,1]=>[4,3,2,1]
[5,3,4,1,2]=>[5,3,4,1,2]=>[3,4,1,2]=>[4,1,3,2]
[5,3,4,2,1]=>[5,3,4,2,1]=>[3,4,2,1]=>[2,4,3,1]
[5,4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,3]=>[4,1,2,3]
[5,4,1,3,2]=>[5,4,1,3,2]=>[4,1,3,2]=>[4,3,1,2]
[5,4,2,1,3]=>[5,4,2,1,3]=>[4,2,1,3]=>[2,4,1,3]
[5,4,2,3,1]=>[5,4,2,3,1]=>[4,2,3,1]=>[3,4,2,1]
[5,4,+,1,2]=>[5,4,3,1,2]=>[4,3,1,2]=>[3,1,4,2]
[5,4,-,1,2]=>[5,4,3,1,2]=>[4,3,1,2]=>[3,1,4,2]
[5,4,+,2,1]=>[5,4,3,2,1]=>[4,3,2,1]=>[2,3,4,1]
[5,4,-,2,1]=>[5,4,3,2,1]=>[4,3,2,1]=>[2,3,4,1]
[+,+,+,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,-,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,+,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,-,-,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,-,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,-,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,+,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,+,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,-,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,+,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,+,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,-,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,+,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,-,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,+,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,-,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,-,5,4,+]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,+,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,-,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,-,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,-,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,+,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,+,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,+,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,-,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,+,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,-,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,-,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,-,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,4,3,+,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,4,3,+,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,4,3,+,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,4,3,-,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,4,3,+,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,4,3,+,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,4,3,-,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,4,3,+,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,4,3,-,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,4,3,+,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,4,3,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,4,3,-,+]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,4,3,+,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,4,3,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,4,3,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,4,3,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,4,5,3,+]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,4,5,3,+]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,4,5,3,+]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,4,5,3,-]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,4,5,3,+]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,4,5,3,-]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,4,5,3,-]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,4,5,3,-]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,+,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,-,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,+,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,-,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,+,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,-,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,-,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,+,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,+,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,-,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,-,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,+,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,+,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,+,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,+,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,+,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,+,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,+,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,+,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,-,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,-,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,+,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,+,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,+,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,-,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,-,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,+,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,+,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,-,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,-,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,+,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,+,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,-,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,-,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,+,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,+,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,-,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,-,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,+,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,+,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,-,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,-,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,+,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,+,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,-,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,-,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,3,2,+,+,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,+,+,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,-,+,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,+,-,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,+,+,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,-,+,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,+,-,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,+,+,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,-,-,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,-,+,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,+,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,-,-,+]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,-,+,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,+,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,-,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,-,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,+,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,+,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,-,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,-,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,5,4,+]=>[1,3,2,5,4,6]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,3,2,5,4,+]=>[1,3,2,5,4,6]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,3,2,5,4,-]=>[1,3,2,5,4,6]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,3,2,5,4,-]=>[1,3,2,5,4,6]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,3,2,5,6,4]=>[1,3,2,5,6,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,3,2,5,6,4]=>[1,3,2,5,6,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,2,6,+,4]=>[1,3,2,6,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,3,2,6,+,4]=>[1,3,2,6,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,3,2,6,-,4]=>[1,3,2,6,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,3,2,6,-,4]=>[1,3,2,6,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,3,4,2,+,+]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,4,2,+,+]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,4,2,-,+]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,4,2,+,-]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,4,2,-,+]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,4,2,+,-]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,4,2,-,-]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,4,2,-,-]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,4,2,6,5]=>[1,3,4,2,6,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,4,2,6,5]=>[1,3,4,2,6,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,4,5,2,+]=>[1,3,4,5,2,6]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,4,5,2,+]=>[1,3,4,5,2,6]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,4,5,2,-]=>[1,3,4,5,2,6]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,4,5,2,-]=>[1,3,4,5,2,6]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,4,5,6,2]=>[1,3,4,5,6,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,4,5,6,2]=>[1,3,4,5,6,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,4,6,+,2]=>[1,3,4,6,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,4,6,+,2]=>[1,3,4,6,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,4,6,-,2]=>[1,3,4,6,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,4,6,-,2]=>[1,3,4,6,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,5,2,4,+]=>[1,3,5,2,4,6]=>[1,3,5,2,4]=>[1,5,3,2,4]
[-,3,5,2,4,+]=>[1,3,5,2,4,6]=>[1,3,5,2,4]=>[1,5,3,2,4]
[+,3,5,2,4,-]=>[1,3,5,2,4,6]=>[1,3,5,2,4]=>[1,5,3,2,4]
[-,3,5,2,4,-]=>[1,3,5,2,4,6]=>[1,3,5,2,4]=>[1,5,3,2,4]
[+,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[-,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[+,3,5,+,2,+]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,5,+,2,+]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,3,5,-,2,+]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,3,5,+,2,-]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,5,-,2,+]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,5,+,2,-]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,3,5,-,2,-]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,5,-,2,-]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,3,5,+,6,2]=>[1,3,5,4,6,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,5,+,6,2]=>[1,3,5,4,6,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,3,5,-,6,2]=>[1,3,5,4,6,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,5,-,6,2]=>[1,3,5,4,6,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[-,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[+,3,5,6,4,2]=>[1,3,5,6,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,5,6,4,2]=>[1,3,5,6,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,3,6,2,+,4]=>[1,3,6,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,3,6,2,+,4]=>[1,3,6,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,3,6,2,-,4]=>[1,3,6,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,3,6,2,-,4]=>[1,3,6,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,3,6,+,2,5]=>[1,3,6,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,6,+,2,5]=>[1,3,6,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,6,-,2,5]=>[1,3,6,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,3,6,-,2,5]=>[1,3,6,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,3,6,+,+,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,6,+,+,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,6,-,+,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,6,+,-,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,6,-,+,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,6,+,-,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,6,-,-,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,3,6,-,-,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,3,6,5,2,4]=>[1,3,6,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[-,3,6,5,2,4]=>[1,3,6,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[+,3,6,5,4,2]=>[1,3,6,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,3,6,5,4,2]=>[1,3,6,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,4,2,3,+,+]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,4,2,3,+,+]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,4,2,3,-,+]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,4,2,3,+,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,4,2,3,-,+]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,4,2,3,+,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,4,2,3,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,4,2,3,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,4,2,5,3,+]=>[1,4,2,5,3,6]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,4,2,5,3,+]=>[1,4,2,5,3,6]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,4,2,5,3,-]=>[1,4,2,5,3,6]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,4,2,5,3,-]=>[1,4,2,5,3,6]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,4,2,6,+,3]=>[1,4,2,6,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,4,2,6,+,3]=>[1,4,2,6,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,4,2,6,-,3]=>[1,4,2,6,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,4,2,6,-,3]=>[1,4,2,6,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,4,+,2,+,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,+,2,+,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,-,2,+,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,+,2,-,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,+,2,+,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,-,2,+,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,+,2,-,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,+,2,+,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,-,2,-,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,-,2,+,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,+,2,-,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,-,2,-,+]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,-,2,+,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,+,2,-,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,-,2,-,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,-,2,-,-]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,+,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,+,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,-,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,-,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,+,5,2,+]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,+,5,2,+]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,-,5,2,+]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,+,5,2,-]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,-,5,2,+]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,+,5,2,-]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,-,5,2,-]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,-,5,2,-]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,+,5,6,2]=>[1,4,3,5,6,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,+,5,6,2]=>[1,4,3,5,6,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,-,5,6,2]=>[1,4,3,5,6,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,-,5,6,2]=>[1,4,3,5,6,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,+,6,2,5]=>[1,4,3,6,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,+,6,2,5]=>[1,4,3,6,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,-,6,2,5]=>[1,4,3,6,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,-,6,2,5]=>[1,4,3,6,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,+,6,+,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,+,6,+,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,-,6,+,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,+,6,-,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,-,6,+,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,+,6,-,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,-,6,-,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,-,6,-,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,5,2,3,+]=>[1,4,5,2,3,6]=>[1,4,5,2,3]=>[1,5,2,4,3]
[-,4,5,2,3,+]=>[1,4,5,2,3,6]=>[1,4,5,2,3]=>[1,5,2,4,3]
[+,4,5,2,3,-]=>[1,4,5,2,3,6]=>[1,4,5,2,3]=>[1,5,2,4,3]
[-,4,5,2,3,-]=>[1,4,5,2,3,6]=>[1,4,5,2,3]=>[1,5,2,4,3]
[+,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[-,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[+,4,5,3,2,+]=>[1,4,5,3,2,6]=>[1,4,5,3,2]=>[1,3,5,4,2]
[-,4,5,3,2,+]=>[1,4,5,3,2,6]=>[1,4,5,3,2]=>[1,3,5,4,2]
[+,4,5,3,2,-]=>[1,4,5,3,2,6]=>[1,4,5,3,2]=>[1,3,5,4,2]
[-,4,5,3,2,-]=>[1,4,5,3,2,6]=>[1,4,5,3,2]=>[1,3,5,4,2]
[+,4,5,3,6,2]=>[1,4,5,3,6,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[-,4,5,3,6,2]=>[1,4,5,3,6,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[+,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[-,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[+,4,5,6,3,2]=>[1,4,5,6,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[-,4,5,6,3,2]=>[1,4,5,6,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[+,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,4,6,2,+,3]=>[1,4,6,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,4,6,2,+,3]=>[1,4,6,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,4,6,2,-,3]=>[1,4,6,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,4,6,2,-,3]=>[1,4,6,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,4,6,3,2,5]=>[1,4,6,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,4,6,3,2,5]=>[1,4,6,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,4,6,3,+,2]=>[1,4,6,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,6,3,+,2]=>[1,4,6,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,6,3,-,2]=>[1,4,6,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,4,6,3,-,2]=>[1,4,6,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,4,6,5,2,3]=>[1,4,6,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[-,4,6,5,2,3]=>[1,4,6,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[+,4,6,5,3,2]=>[1,4,6,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[-,4,6,5,3,2]=>[1,4,6,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[+,5,2,3,4,+]=>[1,5,2,3,4,6]=>[1,5,2,3,4]=>[1,5,2,3,4]
[-,5,2,3,4,+]=>[1,5,2,3,4,6]=>[1,5,2,3,4]=>[1,5,2,3,4]
[+,5,2,3,4,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4]=>[1,5,2,3,4]
[-,5,2,3,4,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4]=>[1,5,2,3,4]
[+,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[-,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[+,5,2,+,3,+]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,2,+,3,+]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,2,-,3,+]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,2,+,3,-]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,2,-,3,+]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,2,+,3,-]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,2,-,3,-]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,2,-,3,-]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,2,+,6,3]=>[1,5,2,4,6,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,2,+,6,3]=>[1,5,2,4,6,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,2,-,6,3]=>[1,5,2,4,6,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,2,-,6,3]=>[1,5,2,4,6,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[-,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[+,5,2,6,4,3]=>[1,5,2,6,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,2,6,4,3]=>[1,5,2,6,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,+,2,4,+]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,+,2,4,+]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,-,2,4,+]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,+,2,4,-]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,-,2,4,+]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,+,2,4,-]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,-,2,4,-]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,-,2,4,-]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,+,2,6,4]=>[1,5,3,2,6,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,+,2,6,4]=>[1,5,3,2,6,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,-,2,6,4]=>[1,5,3,2,6,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,-,2,6,4]=>[1,5,3,2,6,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,+,+,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,+,+,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,-,+,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,+,-,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,+,+,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,-,+,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,+,-,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,+,+,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,-,-,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,-,+,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,+,-,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,-,-,2,+]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,-,+,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,+,-,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,-,-,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,-,-,2,-]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,+,+,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,+,+,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,-,+,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,+,-,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,-,+,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,+,-,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,-,-,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,-,-,6,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,+,6,2,4]=>[1,5,3,6,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,+,6,2,4]=>[1,5,3,6,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,-,6,2,4]=>[1,5,3,6,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,-,6,2,4]=>[1,5,3,6,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,+,6,4,2]=>[1,5,3,6,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,+,6,4,2]=>[1,5,3,6,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,-,6,4,2]=>[1,5,3,6,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,-,6,4,2]=>[1,5,3,6,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,4,2,3,+]=>[1,5,4,2,3,6]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,5,4,2,3,+]=>[1,5,4,2,3,6]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,5,4,2,3,-]=>[1,5,4,2,3,6]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,5,4,2,3,-]=>[1,5,4,2,3,6]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,5,4,2,6,3]=>[1,5,4,2,6,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,5,4,2,6,3]=>[1,5,4,2,6,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,5,4,3,2,+]=>[1,5,4,3,2,6]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,5,4,3,2,+]=>[1,5,4,3,2,6]=>[1,5,4,3,2]=>[1,3,4,5,2]
[+,5,4,3,2,-]=>[1,5,4,3,2,6]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,5,4,3,2,-]=>[1,5,4,3,2,6]=>[1,5,4,3,2]=>[1,3,4,5,2]
[+,5,4,3,6,2]=>[1,5,4,3,6,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,5,4,3,6,2]=>[1,5,4,3,6,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[+,5,4,6,2,3]=>[1,5,4,6,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,5,4,6,2,3]=>[1,5,4,6,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,5,4,6,3,2]=>[1,5,4,6,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,5,4,6,3,2]=>[1,5,4,6,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[+,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[-,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[+,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,5,6,3,2,4]=>[1,5,6,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,5,6,3,2,4]=>[1,5,6,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,5,6,3,4,2]=>[1,5,6,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,5,6,3,4,2]=>[1,5,6,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,5,6,+,2,3]=>[1,5,6,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,5,6,+,2,3]=>[1,5,6,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,5,6,-,2,3]=>[1,5,6,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,5,6,-,2,3]=>[1,5,6,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,5,6,+,3,2]=>[1,5,6,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,5,6,+,3,2]=>[1,5,6,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[+,5,6,-,3,2]=>[1,5,6,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,5,6,-,3,2]=>[1,5,6,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[+,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[-,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[+,6,2,3,+,4]=>[1,6,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,6,2,3,+,4]=>[1,6,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,6,2,3,-,4]=>[1,6,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[-,6,2,3,-,4]=>[1,6,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[+,6,2,+,3,5]=>[1,6,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,6,2,+,3,5]=>[1,6,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,6,2,-,3,5]=>[1,6,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[-,6,2,-,3,5]=>[1,6,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[+,6,2,+,+,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,6,2,+,+,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,6,2,-,+,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,6,2,+,-,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,6,2,-,+,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,6,2,+,-,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,6,2,-,-,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[-,6,2,-,-,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[+,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[-,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[+,6,2,5,4,3]=>[1,6,2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[-,6,2,5,4,3]=>[1,6,2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[+,6,+,2,4,5]=>[1,6,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,6,+,2,4,5]=>[1,6,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,6,-,2,4,5]=>[1,6,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[-,6,-,2,4,5]=>[1,6,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[+,6,+,2,+,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,6,+,2,+,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,6,-,2,+,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,6,+,2,-,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,6,-,2,+,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,6,+,2,-,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,6,-,2,-,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[-,6,-,2,-,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[+,6,+,+,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,6,+,+,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,6,-,+,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,6,+,-,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,6,-,+,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,6,+,-,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,6,-,-,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[-,6,-,-,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[+,6,+,+,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,+,+,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,-,+,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,+,-,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,+,+,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,-,+,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,+,-,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,+,+,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,-,-,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,-,+,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,+,-,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,-,-,+,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,-,+,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,+,-,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,-,-,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[-,6,-,-,-,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[+,6,+,5,2,4]=>[1,6,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[-,6,+,5,2,4]=>[1,6,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[+,6,-,5,2,4]=>[1,6,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[-,6,-,5,2,4]=>[1,6,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[+,6,+,5,4,2]=>[1,6,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,6,+,5,4,2]=>[1,6,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,6,-,5,4,2]=>[1,6,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[-,6,-,5,4,2]=>[1,6,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[+,6,4,2,3,5]=>[1,6,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[-,6,4,2,3,5]=>[1,6,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[+,6,4,2,+,3]=>[1,6,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,6,4,2,+,3]=>[1,6,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,6,4,2,-,3]=>[1,6,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[-,6,4,2,-,3]=>[1,6,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[+,6,4,3,2,5]=>[1,6,4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[-,6,4,3,2,5]=>[1,6,4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[+,6,4,3,+,2]=>[1,6,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,6,4,3,+,2]=>[1,6,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,6,4,3,-,2]=>[1,6,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[-,6,4,3,-,2]=>[1,6,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[+,6,4,5,2,3]=>[1,6,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[-,6,4,5,2,3]=>[1,6,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[+,6,4,5,3,2]=>[1,6,4,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[-,6,4,5,3,2]=>[1,6,4,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[+,6,5,2,3,4]=>[1,6,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[-,6,5,2,3,4]=>[1,6,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[+,6,5,2,4,3]=>[1,6,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[-,6,5,2,4,3]=>[1,6,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[+,6,5,3,2,4]=>[1,6,5,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[-,6,5,3,2,4]=>[1,6,5,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[+,6,5,3,4,2]=>[1,6,5,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[-,6,5,3,4,2]=>[1,6,5,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[+,6,5,+,2,3]=>[1,6,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,6,5,+,2,3]=>[1,6,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,6,5,-,2,3]=>[1,6,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[-,6,5,-,2,3]=>[1,6,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[+,6,5,+,3,2]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,6,5,+,3,2]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[+,6,5,-,3,2]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[-,6,5,-,3,2]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[2,1,+,+,+,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,+,+,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,-,+,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,+,-,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,+,+,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,-,+,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,+,-,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,+,+,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,-,-,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,-,+,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,+,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,-,-,+]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,-,+,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,+,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,-,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,-,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,+,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,+,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,-,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,-,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,5,4,+]=>[2,1,3,5,4,6]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,-,5,4,+]=>[2,1,3,5,4,6]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,+,5,4,-]=>[2,1,3,5,4,6]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,-,5,4,-]=>[2,1,3,5,4,6]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,+,5,6,4]=>[2,1,3,5,6,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,-,5,6,4]=>[2,1,3,5,6,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,+,6,4,5]=>[2,1,3,6,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,-,6,4,5]=>[2,1,3,6,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,+,6,+,4]=>[2,1,3,6,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,-,6,+,4]=>[2,1,3,6,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,+,6,-,4]=>[2,1,3,6,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,-,6,-,4]=>[2,1,3,6,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,4,3,+,+]=>[2,1,4,3,5,6]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,3,-,+]=>[2,1,4,3,5,6]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,3,+,-]=>[2,1,4,3,5,6]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,3,-,-]=>[2,1,4,3,5,6]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,5,3,+]=>[2,1,4,5,3,6]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,4,5,3,-]=>[2,1,4,5,3,6]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,6,+,3]=>[2,1,4,6,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,4,6,-,3]=>[2,1,4,6,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,5,3,4,+]=>[2,1,5,3,4,6]=>[2,1,5,3,4]=>[2,1,5,3,4]
[2,1,5,3,4,-]=>[2,1,5,3,4,6]=>[2,1,5,3,4]=>[2,1,5,3,4]
[2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[2,1,5,3,4]=>[2,1,5,3,4]
[2,1,5,+,3,+]=>[2,1,5,4,3,6]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,1,5,-,3,+]=>[2,1,5,4,3,6]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,1,5,+,3,-]=>[2,1,5,4,3,6]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,1,5,-,3,-]=>[2,1,5,4,3,6]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,1,5,+,6,3]=>[2,1,5,4,6,3]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,1,5,-,6,3]=>[2,1,5,4,6,3]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]
[2,1,5,6,4,3]=>[2,1,5,6,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,6,3,+,4]=>[2,1,6,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,6,3,-,4]=>[2,1,6,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,6,+,3,5]=>[2,1,6,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,6,-,3,5]=>[2,1,6,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,6,+,+,3]=>[2,1,6,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,6,-,+,3]=>[2,1,6,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,6,+,-,3]=>[2,1,6,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,6,-,-,3]=>[2,1,6,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,3,1,+,+,+]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,-,+,+]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,+,-,+]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,+,+,-]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,-,-,+]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,-,+,-]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,+,-,-]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,-,-,-]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,+,6,5]=>[2,3,1,4,6,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,-,6,5]=>[2,3,1,4,6,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,5,4,+]=>[2,3,1,5,4,6]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,1,5,4,-]=>[2,3,1,5,4,6]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,1,5,6,4]=>[2,3,1,5,6,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,1,6,4,5]=>[2,3,1,6,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,6,+,4]=>[2,3,1,6,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,1,6,-,4]=>[2,3,1,6,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,4,1,+,+]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,4,1,-,+]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,4,1,+,-]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,4,1,-,-]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,4,1,6,5]=>[2,3,4,1,6,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,4,5,1,+]=>[2,3,4,5,1,6]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,4,5,1,-]=>[2,3,4,5,1,6]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,4,6,1,5]=>[2,3,4,6,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,4,6,+,1]=>[2,3,4,6,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,4,6,-,1]=>[2,3,4,6,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,5,1,4,+]=>[2,3,5,1,4,6]=>[2,3,5,1,4]=>[5,2,3,1,4]
[2,3,5,1,4,-]=>[2,3,5,1,4,6]=>[2,3,5,1,4]=>[5,2,3,1,4]
[2,3,5,1,6,4]=>[2,3,5,1,6,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[2,3,5,+,1,+]=>[2,3,5,4,1,6]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,3,5,-,1,+]=>[2,3,5,4,1,6]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,3,5,+,1,-]=>[2,3,5,4,1,6]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,3,5,-,1,-]=>[2,3,5,4,1,6]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,3,5,+,6,1]=>[2,3,5,4,6,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,3,5,-,6,1]=>[2,3,5,4,6,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,3,5,6,1,4]=>[2,3,5,6,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[2,3,5,6,4,1]=>[2,3,5,6,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,3,6,1,4,5]=>[2,3,6,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,6,1,+,4]=>[2,3,6,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,6,1,-,4]=>[2,3,6,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,6,+,1,5]=>[2,3,6,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,6,-,1,5]=>[2,3,6,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,6,+,+,1]=>[2,3,6,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,6,-,+,1]=>[2,3,6,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,6,+,-,1]=>[2,3,6,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,6,-,-,1]=>[2,3,6,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,6,5,1,4]=>[2,3,6,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[2,3,6,5,4,1]=>[2,3,6,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,4,1,3,+,+]=>[2,4,1,3,5,6]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,3,-,+]=>[2,4,1,3,5,6]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,3,+,-]=>[2,4,1,3,5,6]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,3,-,-]=>[2,4,1,3,5,6]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,5,3,+]=>[2,4,1,5,3,6]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,1,5,3,-]=>[2,4,1,5,3,6]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,1,5,6,3]=>[2,4,1,5,6,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,6,+,3]=>[2,4,1,6,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,1,6,-,3]=>[2,4,1,6,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,+,1,+,+]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,-,1,+,+]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,+,1,-,+]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,+,1,+,-]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,-,1,-,+]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,-,1,+,-]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,+,1,-,-]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,-,1,-,-]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,+,1,6,5]=>[2,4,3,1,6,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,-,1,6,5]=>[2,4,3,1,6,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,+,5,1,+]=>[2,4,3,5,1,6]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,-,5,1,+]=>[2,4,3,5,1,6]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,+,5,1,-]=>[2,4,3,5,1,6]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,-,5,1,-]=>[2,4,3,5,1,6]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,+,5,6,1]=>[2,4,3,5,6,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,-,5,6,1]=>[2,4,3,5,6,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,+,6,1,5]=>[2,4,3,6,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,-,6,1,5]=>[2,4,3,6,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,+,6,+,1]=>[2,4,3,6,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,-,6,+,1]=>[2,4,3,6,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,+,6,-,1]=>[2,4,3,6,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,-,6,-,1]=>[2,4,3,6,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,5,1,3,+]=>[2,4,5,1,3,6]=>[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,5,1,3,-]=>[2,4,5,1,3,6]=>[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,5,1,6,3]=>[2,4,5,1,6,3]=>[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,5,3,1,+]=>[2,4,5,3,1,6]=>[2,4,5,3,1]=>[3,2,5,4,1]
[2,4,5,3,1,-]=>[2,4,5,3,1,6]=>[2,4,5,3,1]=>[3,2,5,4,1]
[2,4,5,3,6,1]=>[2,4,5,3,6,1]=>[2,4,5,3,1]=>[3,2,5,4,1]
[2,4,5,6,1,3]=>[2,4,5,6,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,5,6,3,1]=>[2,4,5,6,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]
[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,6,1,+,3]=>[2,4,6,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,6,1,-,3]=>[2,4,6,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,6,3,1,5]=>[2,4,6,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,6,3,+,1]=>[2,4,6,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,6,3,-,1]=>[2,4,6,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,6,5,1,3]=>[2,4,6,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,6,5,3,1]=>[2,4,6,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]
[2,5,1,3,4,+]=>[2,5,1,3,4,6]=>[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,1,3,4,-]=>[2,5,1,3,4,6]=>[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,1,3,6,4]=>[2,5,1,3,6,4]=>[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,1,+,3,+]=>[2,5,1,4,3,6]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,1,-,3,+]=>[2,5,1,4,3,6]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,1,+,3,-]=>[2,5,1,4,3,6]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,1,-,3,-]=>[2,5,1,4,3,6]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,1,+,6,3]=>[2,5,1,4,6,3]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,1,-,6,3]=>[2,5,1,4,6,3]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,1,6,4,3]=>[2,5,1,6,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,+,1,4,+]=>[2,5,3,1,4,6]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,-,1,4,+]=>[2,5,3,1,4,6]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,+,1,4,-]=>[2,5,3,1,4,6]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,-,1,4,-]=>[2,5,3,1,4,6]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,+,1,6,4]=>[2,5,3,1,6,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,-,1,6,4]=>[2,5,3,1,6,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,+,+,1,+]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,-,+,1,+]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,+,-,1,+]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,+,+,1,-]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,-,-,1,+]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,-,+,1,-]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,+,-,1,-]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,-,-,1,-]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,+,+,6,1]=>[2,5,3,4,6,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,-,+,6,1]=>[2,5,3,4,6,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,+,-,6,1]=>[2,5,3,4,6,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,-,-,6,1]=>[2,5,3,4,6,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,+,6,1,4]=>[2,5,3,6,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,-,6,1,4]=>[2,5,3,6,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,+,6,4,1]=>[2,5,3,6,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,-,6,4,1]=>[2,5,3,6,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,4,1,3,+]=>[2,5,4,1,3,6]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,1,3,-]=>[2,5,4,1,3,6]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,1,6,3]=>[2,5,4,1,6,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,3,1,+]=>[2,5,4,3,1,6]=>[2,5,4,3,1]=>[3,2,4,5,1]
[2,5,4,3,1,-]=>[2,5,4,3,1,6]=>[2,5,4,3,1]=>[3,2,4,5,1]
[2,5,4,3,6,1]=>[2,5,4,3,6,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[2,5,4,6,1,3]=>[2,5,4,6,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,6,3,1]=>[2,5,4,6,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[2,5,6,1,3,4]=>[2,5,6,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,6,1,4,3]=>[2,5,6,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,6,3,1,4]=>[2,5,6,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,6,3,4,1]=>[2,5,6,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,6,+,1,3]=>[2,5,6,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,6,-,1,3]=>[2,5,6,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,6,+,3,1]=>[2,5,6,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[2,5,6,-,3,1]=>[2,5,6,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[2,6,1,3,4,5]=>[2,6,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[2,6,1,3,+,4]=>[2,6,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,6,1,3,-,4]=>[2,6,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[2,6,1,+,3,5]=>[2,6,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,6,1,-,3,5]=>[2,6,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[2,6,1,+,+,3]=>[2,6,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,6,1,-,+,3]=>[2,6,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,6,1,+,-,3]=>[2,6,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,6,1,-,-,3]=>[2,6,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]
[2,6,+,1,4,5]=>[2,6,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,6,-,1,4,5]=>[2,6,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[2,6,+,1,+,4]=>[2,6,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,6,-,1,+,4]=>[2,6,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,6,+,1,-,4]=>[2,6,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,6,-,1,-,4]=>[2,6,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[2,6,+,+,1,5]=>[2,6,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,6,-,+,1,5]=>[2,6,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,6,+,-,1,5]=>[2,6,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,6,-,-,1,5]=>[2,6,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[2,6,+,+,+,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,-,+,+,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,+,-,+,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,+,+,-,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,-,-,+,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,-,+,-,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,+,-,-,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,-,-,-,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[2,6,+,5,1,4]=>[2,6,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[2,6,-,5,1,4]=>[2,6,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[2,6,+,5,4,1]=>[2,6,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,6,-,5,4,1]=>[2,6,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[2,6,4,1,3,5]=>[2,6,4,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]
[2,6,4,1,+,3]=>[2,6,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,6,4,1,-,3]=>[2,6,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[2,6,4,3,1,5]=>[2,6,4,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[2,6,4,3,+,1]=>[2,6,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,6,4,3,-,1]=>[2,6,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[2,6,4,5,1,3]=>[2,6,4,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]
[2,6,4,5,3,1]=>[2,6,4,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]
[2,6,5,1,3,4]=>[2,6,5,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]
[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[2,6,5,+,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,6,5,-,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[2,6,5,+,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[2,6,5,-,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[3,1,2,+,+,+]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,-,+,+]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,+,-,+]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,+,+,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,-,-,+]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,-,+,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,+,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,+,6,5]=>[3,1,2,4,6,5]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,-,6,5]=>[3,1,2,4,6,5]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,5,4,+]=>[3,1,2,5,4,6]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,2,5,4,-]=>[3,1,2,5,4,6]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,2,5,6,4]=>[3,1,2,5,6,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,6,+,4]=>[3,1,2,6,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,2,6,-,4]=>[3,1,2,6,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,4,2,+,+]=>[3,1,4,2,5,6]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,2,-,+]=>[3,1,4,2,5,6]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,2,+,-]=>[3,1,4,2,5,6]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,2,-,-]=>[3,1,4,2,5,6]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,5,2,+]=>[3,1,4,5,2,6]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,4,5,2,-]=>[3,1,4,5,2,6]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,4,6,2,5]=>[3,1,4,6,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,6,+,2]=>[3,1,4,6,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,4,6,-,2]=>[3,1,4,6,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,5,2,4,+]=>[3,1,5,2,4,6]=>[3,1,5,2,4]=>[3,5,1,2,4]
[3,1,5,2,4,-]=>[3,1,5,2,4,6]=>[3,1,5,2,4]=>[3,5,1,2,4]
[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[3,1,5,2,4]=>[3,5,1,2,4]
[3,1,5,+,2,+]=>[3,1,5,4,2,6]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,1,5,-,2,+]=>[3,1,5,4,2,6]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,1,5,+,2,-]=>[3,1,5,4,2,6]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,1,5,-,2,-]=>[3,1,5,4,2,6]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,1,5,+,6,2]=>[3,1,5,4,6,2]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,1,5,-,6,2]=>[3,1,5,4,6,2]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,1,5,6,2,4]=>[3,1,5,6,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]
[3,1,5,6,4,2]=>[3,1,5,6,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,1,6,2,4,5]=>[3,1,6,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,6,2,+,4]=>[3,1,6,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,6,2,-,4]=>[3,1,6,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,6,+,2,5]=>[3,1,6,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,6,-,2,5]=>[3,1,6,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,6,+,+,2]=>[3,1,6,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,6,-,+,2]=>[3,1,6,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,6,+,-,2]=>[3,1,6,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,6,-,-,2]=>[3,1,6,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,+,1,+,+,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,+,+,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,-,+,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,+,-,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,+,+,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,-,+,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,+,-,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,+,+,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,-,-,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,-,+,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,+,-,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,-,-,+]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,-,+,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,+,-,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,-,-,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,-,-,-]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,+,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,+,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,-,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,-,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,5,4,+]=>[3,2,1,5,4,6]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,-,1,5,4,+]=>[3,2,1,5,4,6]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,+,1,5,4,-]=>[3,2,1,5,4,6]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,-,1,5,4,-]=>[3,2,1,5,4,6]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,+,1,5,6,4]=>[3,2,1,5,6,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,-,1,5,6,4]=>[3,2,1,5,6,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,+,1,6,4,5]=>[3,2,1,6,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,1,6,4,5]=>[3,2,1,6,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,1,6,+,4]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,-,1,6,+,4]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,+,1,6,-,4]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,-,1,6,-,4]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,+,4,1,+,+]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,4,1,+,+]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,4,1,-,+]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,4,1,+,-]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,4,1,-,+]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,4,1,+,-]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,4,1,-,-]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,4,1,-,-]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,4,1,6,5]=>[3,2,4,1,6,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,4,1,6,5]=>[3,2,4,1,6,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,4,5,1,+]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,4,5,1,+]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,4,5,1,-]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,4,5,1,-]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,4,5,6,1]=>[3,2,4,5,6,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,4,5,6,1]=>[3,2,4,5,6,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,4,6,1,5]=>[3,2,4,6,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,4,6,1,5]=>[3,2,4,6,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,4,6,+,1]=>[3,2,4,6,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,4,6,+,1]=>[3,2,4,6,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,4,6,-,1]=>[3,2,4,6,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,4,6,-,1]=>[3,2,4,6,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,5,1,4,+]=>[3,2,5,1,4,6]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,-,5,1,4,+]=>[3,2,5,1,4,6]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,+,5,1,4,-]=>[3,2,5,1,4,6]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,-,5,1,4,-]=>[3,2,5,1,4,6]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,+,5,1,6,4]=>[3,2,5,1,6,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,-,5,1,6,4]=>[3,2,5,1,6,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,+,5,+,1,+]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,5,+,1,+]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,+,5,-,1,+]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,+,5,+,1,-]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,5,-,1,+]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,5,+,1,-]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,+,5,-,1,-]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,5,-,1,-]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,+,5,+,6,1]=>[3,2,5,4,6,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,5,+,6,1]=>[3,2,5,4,6,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,+,5,-,6,1]=>[3,2,5,4,6,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,5,-,6,1]=>[3,2,5,4,6,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,+,5,6,1,4]=>[3,2,5,6,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,-,5,6,1,4]=>[3,2,5,6,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,+,5,6,4,1]=>[3,2,5,6,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,5,6,4,1]=>[3,2,5,6,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,+,6,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,-,6,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,+,6,1,+,4]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,-,6,1,+,4]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,+,6,1,-,4]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,-,6,1,-,4]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,+,6,+,1,5]=>[3,2,6,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,6,+,1,5]=>[3,2,6,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,6,-,1,5]=>[3,2,6,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,-,6,-,1,5]=>[3,2,6,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,+,6,+,+,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,6,+,+,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,6,-,+,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,6,+,-,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,6,-,+,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,6,+,-,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,6,-,-,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,-,6,-,-,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,+,6,5,1,4]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,-,6,5,1,4]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,+,6,5,4,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,-,6,5,4,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,4,1,2,+,+]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,2,-,+]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,2,+,-]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,2,-,-]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,5,2,+]=>[3,4,1,5,2,6]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,1,5,2,-]=>[3,4,1,5,2,6]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,1,5,6,2]=>[3,4,1,5,6,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,6,+,2]=>[3,4,1,6,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,1,6,-,2]=>[3,4,1,6,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,2,1,+,+]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,1,-,+]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,1,+,-]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,1,-,-]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,1,6,5]=>[3,4,2,1,6,5]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,5,1,+]=>[3,4,2,5,1,6]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,2,5,1,-]=>[3,4,2,5,1,6]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,2,6,1,5]=>[3,4,2,6,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,6,+,1]=>[3,4,2,6,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,2,6,-,1]=>[3,4,2,6,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,5,1,2,+]=>[3,4,5,1,2,6]=>[3,4,5,1,2]=>[5,1,3,4,2]
[3,4,5,1,2,-]=>[3,4,5,1,2,6]=>[3,4,5,1,2]=>[5,1,3,4,2]
[3,4,5,1,6,2]=>[3,4,5,1,6,2]=>[3,4,5,1,2]=>[5,1,3,4,2]
[3,4,5,2,1,+]=>[3,4,5,2,1,6]=>[3,4,5,2,1]=>[2,5,3,4,1]
[3,4,5,2,1,-]=>[3,4,5,2,1,6]=>[3,4,5,2,1]=>[2,5,3,4,1]
[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[3,4,5,2,1]=>[2,5,3,4,1]
[3,4,5,6,1,2]=>[3,4,5,6,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]
[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]
[3,4,6,1,2,5]=>[3,4,6,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,6,1,+,2]=>[3,4,6,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,6,1,-,2]=>[3,4,6,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,6,2,+,1]=>[3,4,6,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,6,2,-,1]=>[3,4,6,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,6,5,1,2]=>[3,4,6,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]
[3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]
[3,5,1,2,4,+]=>[3,5,1,2,4,6]=>[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,1,2,4,-]=>[3,5,1,2,4,6]=>[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,1,+,2,+]=>[3,5,1,4,2,6]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,1,-,2,+]=>[3,5,1,4,2,6]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,1,+,2,-]=>[3,5,1,4,2,6]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,1,-,2,-]=>[3,5,1,4,2,6]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,1,+,6,2]=>[3,5,1,4,6,2]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,1,-,6,2]=>[3,5,1,4,6,2]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,1,6,4,2]=>[3,5,1,6,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,2,1,4,+]=>[3,5,2,1,4,6]=>[3,5,2,1,4]=>[2,5,3,1,4]
[3,5,2,1,4,-]=>[3,5,2,1,4,6]=>[3,5,2,1,4]=>[2,5,3,1,4]
[3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[3,5,2,1,4]=>[2,5,3,1,4]
[3,5,2,+,1,+]=>[3,5,2,4,1,6]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,2,-,1,+]=>[3,5,2,4,1,6]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,2,+,1,-]=>[3,5,2,4,1,6]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,2,-,1,-]=>[3,5,2,4,1,6]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,2,+,6,1]=>[3,5,2,4,6,1]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,2,-,6,1]=>[3,5,2,4,6,1]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,2,6,1,4]=>[3,5,2,6,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]
[3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,4,1,2,+]=>[3,5,4,1,2,6]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,4,1,2,-]=>[3,5,4,1,2,6]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,4,1,6,2]=>[3,5,4,1,6,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,4,2,1,+]=>[3,5,4,2,1,6]=>[3,5,4,2,1]=>[2,4,3,5,1]
[3,5,4,2,1,-]=>[3,5,4,2,1,6]=>[3,5,4,2,1]=>[2,4,3,5,1]
[3,5,4,2,6,1]=>[3,5,4,2,6,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[3,5,4,6,1,2]=>[3,5,4,6,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,4,6,2,1]=>[3,5,4,6,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[3,5,6,1,2,4]=>[3,5,6,1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]
[3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,6,+,1,2]=>[3,5,6,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,6,-,1,2]=>[3,5,6,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,6,+,2,1]=>[3,5,6,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[3,5,6,-,2,1]=>[3,5,6,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[3,6,1,2,4,5]=>[3,6,1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]
[3,6,1,2,+,4]=>[3,6,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,6,1,2,-,4]=>[3,6,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[3,6,1,+,2,5]=>[3,6,1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,6,1,-,2,5]=>[3,6,1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[3,6,1,+,+,2]=>[3,6,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,6,1,-,+,2]=>[3,6,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,6,1,+,-,2]=>[3,6,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,6,1,-,-,2]=>[3,6,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]
[3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[3,6,2,1,+,4]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,6,2,1,-,4]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[3,6,2,+,1,5]=>[3,6,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,6,2,-,1,5]=>[3,6,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[3,6,2,+,+,1]=>[3,6,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,6,2,-,+,1]=>[3,6,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,6,2,+,-,1]=>[3,6,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,6,2,-,-,1]=>[3,6,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[3,6,4,1,2,5]=>[3,6,4,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]
[3,6,4,1,+,2]=>[3,6,4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,6,4,1,-,2]=>[3,6,4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]
[3,6,4,2,+,1]=>[3,6,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,6,4,2,-,1]=>[3,6,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[3,6,4,5,1,2]=>[3,6,4,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]
[3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]
[3,6,5,1,2,4]=>[3,6,5,1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]
[3,6,5,+,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,6,5,-,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[3,6,5,+,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[3,6,5,-,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[4,1,2,3,+,+]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,3,-,+]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,3,+,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,3,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,5,3,+]=>[4,1,2,5,3,6]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,2,5,3,-]=>[4,1,2,5,3,6]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,6,+,3]=>[4,1,2,6,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,2,6,-,3]=>[4,1,2,6,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,+,2,+,+]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,-,2,+,+]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,+,2,-,+]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,+,2,+,-]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,-,2,-,+]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,-,2,+,-]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,+,2,-,-]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,-,2,-,-]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,+,2,6,5]=>[4,1,3,2,6,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,-,2,6,5]=>[4,1,3,2,6,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,+,5,2,+]=>[4,1,3,5,2,6]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,-,5,2,+]=>[4,1,3,5,2,6]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,+,5,2,-]=>[4,1,3,5,2,6]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,-,5,2,-]=>[4,1,3,5,2,6]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,+,5,6,2]=>[4,1,3,5,6,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,-,5,6,2]=>[4,1,3,5,6,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,+,6,2,5]=>[4,1,3,6,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,-,6,2,5]=>[4,1,3,6,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,+,6,+,2]=>[4,1,3,6,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,-,6,+,2]=>[4,1,3,6,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,+,6,-,2]=>[4,1,3,6,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,-,6,-,2]=>[4,1,3,6,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,5,2,3,+]=>[4,1,5,2,3,6]=>[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,5,2,3,-]=>[4,1,5,2,3,6]=>[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,5,3,2,+]=>[4,1,5,3,2,6]=>[4,1,5,3,2]=>[4,3,5,1,2]
[4,1,5,3,2,-]=>[4,1,5,3,2,6]=>[4,1,5,3,2]=>[4,3,5,1,2]
[4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[4,1,5,3,2]=>[4,3,5,1,2]
[4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,5,6,3,2]=>[4,1,5,6,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]
[4,1,6,2,3,5]=>[4,1,6,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,6,2,+,3]=>[4,1,6,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,6,2,-,3]=>[4,1,6,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,6,3,+,2]=>[4,1,6,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,6,3,-,2]=>[4,1,6,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]
[4,+,1,3,+,+]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,-,1,3,+,+]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,+,1,3,-,+]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,+,1,3,+,-]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,-,1,3,-,+]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,-,1,3,+,-]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,+,1,3,-,-]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,-,1,3,-,-]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,+,1,3,6,5]=>[4,2,1,3,6,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,-,1,3,6,5]=>[4,2,1,3,6,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,+,1,5,3,+]=>[4,2,1,5,3,6]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,-,1,5,3,+]=>[4,2,1,5,3,6]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,+,1,5,3,-]=>[4,2,1,5,3,6]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,-,1,5,3,-]=>[4,2,1,5,3,6]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,+,1,5,6,3]=>[4,2,1,5,6,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,-,1,5,6,3]=>[4,2,1,5,6,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,+,1,6,3,5]=>[4,2,1,6,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,-,1,6,3,5]=>[4,2,1,6,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,+,1,6,+,3]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,-,1,6,+,3]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,+,1,6,-,3]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,-,1,6,-,3]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,+,+,1,+,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,+,1,+,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,-,1,+,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,+,1,-,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,+,1,+,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,-,1,+,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,+,1,-,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,+,1,+,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,-,1,-,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,-,1,+,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,+,1,-,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,-,1,-,+]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,-,1,+,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,+,1,-,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,-,1,-,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,-,1,-,-]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,+,1,6,5]=>[4,2,3,1,6,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,+,1,6,5]=>[4,2,3,1,6,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,-,1,6,5]=>[4,2,3,1,6,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,-,1,6,5]=>[4,2,3,1,6,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,+,5,1,+]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,+,5,1,+]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,-,5,1,+]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,+,5,1,-]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,-,5,1,+]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,+,5,1,-]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,-,5,1,-]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,-,5,1,-]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,+,5,6,1]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,+,5,6,1]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,-,5,6,1]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,-,5,6,1]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,+,6,1,5]=>[4,2,3,6,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,+,6,1,5]=>[4,2,3,6,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,-,6,1,5]=>[4,2,3,6,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,-,6,1,5]=>[4,2,3,6,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,+,6,+,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,+,6,+,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,-,6,+,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,+,6,-,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,-,6,+,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,+,6,-,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,-,6,-,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,-,6,-,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,5,1,3,+]=>[4,2,5,1,3,6]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,-,5,1,3,+]=>[4,2,5,1,3,6]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,+,5,1,3,-]=>[4,2,5,1,3,6]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,-,5,1,3,-]=>[4,2,5,1,3,6]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,+,5,1,6,3]=>[4,2,5,1,6,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,-,5,1,6,3]=>[4,2,5,1,6,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,+,5,3,1,+]=>[4,2,5,3,1,6]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,-,5,3,1,+]=>[4,2,5,3,1,6]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,+,5,3,1,-]=>[4,2,5,3,1,6]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,-,5,3,1,-]=>[4,2,5,3,1,6]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,+,5,3,6,1]=>[4,2,5,3,6,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,-,5,3,6,1]=>[4,2,5,3,6,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,+,5,6,1,3]=>[4,2,5,6,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,-,5,6,1,3]=>[4,2,5,6,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,+,5,6,3,1]=>[4,2,5,6,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,-,5,6,3,1]=>[4,2,5,6,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,+,6,1,3,5]=>[4,2,6,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,-,6,1,3,5]=>[4,2,6,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,+,6,1,+,3]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,-,6,1,+,3]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,+,6,1,-,3]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,-,6,1,-,3]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,+,6,3,1,5]=>[4,2,6,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,-,6,3,1,5]=>[4,2,6,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,+,6,3,+,1]=>[4,2,6,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,6,3,+,1]=>[4,2,6,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,6,3,-,1]=>[4,2,6,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,-,6,3,-,1]=>[4,2,6,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,+,6,5,1,3]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,-,6,5,1,3]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,+,6,5,3,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,-,6,5,3,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,3,1,2,+,+]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,2,-,+]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,2,+,-]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,2,-,-]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,5,2,+]=>[4,3,1,5,2,6]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,1,5,2,-]=>[4,3,1,5,2,6]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,6,+,2]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,1,6,-,2]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,2,1,+,+]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,1,-,+]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,1,+,-]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,1,-,-]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,5,1,+]=>[4,3,2,5,1,6]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,2,5,1,-]=>[4,3,2,5,1,6]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,6,+,1]=>[4,3,2,6,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,2,6,-,1]=>[4,3,2,6,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,5,1,2,+]=>[4,3,5,1,2,6]=>[4,3,5,1,2]=>[5,1,4,3,2]
[4,3,5,1,2,-]=>[4,3,5,1,2,6]=>[4,3,5,1,2]=>[5,1,4,3,2]
[4,3,5,1,6,2]=>[4,3,5,1,6,2]=>[4,3,5,1,2]=>[5,1,4,3,2]
[4,3,5,2,1,+]=>[4,3,5,2,1,6]=>[4,3,5,2,1]=>[2,5,4,3,1]
[4,3,5,2,1,-]=>[4,3,5,2,1,6]=>[4,3,5,2,1]=>[2,5,4,3,1]
[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]
[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,6,1,+,2]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,6,1,-,2]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,6,2,+,1]=>[4,3,6,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,6,2,-,1]=>[4,3,6,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[4,5,1,2,3,+]=>[4,5,1,2,3,6]=>[4,5,1,2,3]=>[5,1,2,4,3]
[4,5,1,2,3,-]=>[4,5,1,2,3,6]=>[4,5,1,2,3]=>[5,1,2,4,3]
[4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[4,5,1,2,3]=>[5,1,2,4,3]
[4,5,1,3,2,+]=>[4,5,1,3,2,6]=>[4,5,1,3,2]=>[5,3,1,4,2]
[4,5,1,3,2,-]=>[4,5,1,3,2,6]=>[4,5,1,3,2]=>[5,3,1,4,2]
[4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[4,5,1,3,2]=>[5,3,1,4,2]
[4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]
[4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]
[4,5,2,1,3,+]=>[4,5,2,1,3,6]=>[4,5,2,1,3]=>[2,5,1,4,3]
[4,5,2,1,3,-]=>[4,5,2,1,3,6]=>[4,5,2,1,3]=>[2,5,1,4,3]
[4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[4,5,2,1,3]=>[2,5,1,4,3]
[4,5,2,3,1,+]=>[4,5,2,3,1,6]=>[4,5,2,3,1]=>[3,5,2,4,1]
[4,5,2,3,1,-]=>[4,5,2,3,1,6]=>[4,5,2,3,1]=>[3,5,2,4,1]
[4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[4,5,2,3,1]=>[3,5,2,4,1]
[4,5,2,6,1,3]=>[4,5,2,6,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]
[4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]
[4,5,+,1,2,+]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,-,1,2,+]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,+,1,2,-]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,-,1,2,-]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,+,1,6,2]=>[4,5,3,1,6,2]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,-,1,6,2]=>[4,5,3,1,6,2]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,+,2,1,+]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,-,2,1,+]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,+,2,1,-]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,-,2,1,-]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,+,2,6,1]=>[4,5,3,2,6,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,-,2,6,1]=>[4,5,3,2,6,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,+,6,1,2]=>[4,5,3,6,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,-,6,1,2]=>[4,5,3,6,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,+,6,2,1]=>[4,5,3,6,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,-,6,2,1]=>[4,5,3,6,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]
[4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]
[4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]
[4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]
[4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]
[4,6,1,2,+,3]=>[4,6,1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,6,1,2,-,3]=>[4,6,1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[4,6,1,3,+,2]=>[4,6,1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,6,1,3,-,2]=>[4,6,1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[4,6,1,5,2,3]=>[4,6,1,5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]
[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[4,6,2,1,+,3]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,6,2,1,-,3]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[4,6,2,3,+,1]=>[4,6,2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,6,2,3,-,1]=>[4,6,2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[4,6,+,1,2,5]=>[4,6,3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,6,-,1,2,5]=>[4,6,3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[4,6,+,1,+,2]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,6,-,1,+,2]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,6,+,1,-,2]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,6,-,1,-,2]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[4,6,+,2,1,5]=>[4,6,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,6,-,2,1,5]=>[4,6,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[4,6,+,2,+,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,6,-,2,+,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,6,+,2,-,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,6,-,2,-,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[4,6,+,5,1,2]=>[4,6,3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]
[4,6,-,5,1,2]=>[4,6,3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]
[4,6,+,5,2,1]=>[4,6,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[4,6,-,5,2,1]=>[4,6,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[4,6,5,1,2,3]=>[4,6,5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[5,1,2,3,4,+]=>[5,1,2,3,4,6]=>[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,3,4,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,+,3,+]=>[5,1,2,4,3,6]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,2,-,3,+]=>[5,1,2,4,3,6]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,2,+,3,-]=>[5,1,2,4,3,6]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,2,-,3,-]=>[5,1,2,4,3,6]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,2,+,6,3]=>[5,1,2,4,6,3]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,2,-,6,3]=>[5,1,2,4,6,3]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,2,6,3,4]=>[5,1,2,6,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,+,2,4,+]=>[5,1,3,2,4,6]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,-,2,4,+]=>[5,1,3,2,4,6]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,+,2,4,-]=>[5,1,3,2,4,6]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,-,2,4,-]=>[5,1,3,2,4,6]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,+,2,6,4]=>[5,1,3,2,6,4]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,-,2,6,4]=>[5,1,3,2,6,4]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,+,+,2,+]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,-,+,2,+]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,+,-,2,+]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,+,+,2,-]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,-,-,2,+]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,-,+,2,-]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,+,-,2,-]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,-,-,2,-]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,+,+,6,2]=>[5,1,3,4,6,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,-,+,6,2]=>[5,1,3,4,6,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,+,-,6,2]=>[5,1,3,4,6,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,-,-,6,2]=>[5,1,3,4,6,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,+,6,2,4]=>[5,1,3,6,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,-,6,2,4]=>[5,1,3,6,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,+,6,4,2]=>[5,1,3,6,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,-,6,4,2]=>[5,1,3,6,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,4,2,3,+]=>[5,1,4,2,3,6]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,1,4,2,3,-]=>[5,1,4,2,3,6]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,1,4,3,2,+]=>[5,1,4,3,2,6]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,1,4,3,2,-]=>[5,1,4,3,2,6]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,1,4,6,2,3]=>[5,1,4,6,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,1,6,2,3,4]=>[5,1,6,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,6,+,2,3]=>[5,1,6,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,1,6,-,2,3]=>[5,1,6,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,1,6,+,3,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,1,6,-,3,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,+,1,3,4,+]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,-,1,3,4,+]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,+,1,3,4,-]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,-,1,3,4,-]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,+,1,3,6,4]=>[5,2,1,3,6,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,-,1,3,6,4]=>[5,2,1,3,6,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,+,1,+,3,+]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,1,+,3,+]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,1,-,3,+]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,1,+,3,-]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,1,-,3,+]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,1,+,3,-]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,1,-,3,-]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,1,-,3,-]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,1,+,6,3]=>[5,2,1,4,6,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,1,+,6,3]=>[5,2,1,4,6,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,1,-,6,3]=>[5,2,1,4,6,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,1,-,6,3]=>[5,2,1,4,6,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,1,6,3,4]=>[5,2,1,6,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,-,1,6,3,4]=>[5,2,1,6,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,+,1,6,4,3]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,1,6,4,3]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,+,1,4,+]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,+,1,4,+]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,-,1,4,+]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,+,1,4,-]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,-,1,4,+]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,+,1,4,-]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,-,1,4,-]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,-,1,4,-]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,+,1,6,4]=>[5,2,3,1,6,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,+,1,6,4]=>[5,2,3,1,6,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,-,1,6,4]=>[5,2,3,1,6,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,-,1,6,4]=>[5,2,3,1,6,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,+,+,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,+,+,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,-,+,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,+,-,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,+,+,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,-,+,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,+,-,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,+,+,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,-,-,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,-,+,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,+,-,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,-,-,1,+]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,-,+,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,+,-,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,-,-,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,-,-,1,-]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,+,+,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,+,+,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,-,+,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,+,-,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,-,+,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,+,-,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,-,-,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,-,-,6,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,+,6,1,4]=>[5,2,3,6,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,+,6,1,4]=>[5,2,3,6,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,-,6,1,4]=>[5,2,3,6,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,-,6,1,4]=>[5,2,3,6,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,+,6,4,1]=>[5,2,3,6,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,+,6,4,1]=>[5,2,3,6,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,-,6,4,1]=>[5,2,3,6,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,-,6,4,1]=>[5,2,3,6,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,4,1,3,+]=>[5,2,4,1,3,6]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,-,4,1,3,+]=>[5,2,4,1,3,6]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,+,4,1,3,-]=>[5,2,4,1,3,6]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,-,4,1,3,-]=>[5,2,4,1,3,6]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,+,4,1,6,3]=>[5,2,4,1,6,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,-,4,1,6,3]=>[5,2,4,1,6,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,+,4,3,1,+]=>[5,2,4,3,1,6]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,-,4,3,1,+]=>[5,2,4,3,1,6]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,+,4,3,1,-]=>[5,2,4,3,1,6]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,-,4,3,1,-]=>[5,2,4,3,1,6]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,+,4,3,6,1]=>[5,2,4,3,6,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,-,4,3,6,1]=>[5,2,4,3,6,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,+,4,6,1,3]=>[5,2,4,6,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,-,4,6,1,3]=>[5,2,4,6,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,+,4,6,3,1]=>[5,2,4,6,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,-,4,6,3,1]=>[5,2,4,6,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,+,6,1,3,4]=>[5,2,6,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,-,6,1,3,4]=>[5,2,6,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,+,6,1,4,3]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,-,6,1,4,3]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,+,6,3,1,4]=>[5,2,6,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,-,6,3,1,4]=>[5,2,6,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,+,6,3,4,1]=>[5,2,6,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,-,6,3,4,1]=>[5,2,6,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,+,6,+,1,3]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,-,6,+,1,3]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,+,6,-,1,3]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,-,6,-,1,3]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,+,6,+,3,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,-,6,+,3,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,+,6,-,3,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,-,6,-,3,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,3,1,2,4,+]=>[5,3,1,2,4,6]=>[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,1,2,4,-]=>[5,3,1,2,4,6]=>[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,1,+,2,+]=>[5,3,1,4,2,6]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,1,-,2,+]=>[5,3,1,4,2,6]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,1,+,2,-]=>[5,3,1,4,2,6]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,1,-,2,-]=>[5,3,1,4,2,6]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,1,+,6,2]=>[5,3,1,4,6,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,1,-,6,2]=>[5,3,1,4,6,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,2,1,4,+]=>[5,3,2,1,4,6]=>[5,3,2,1,4]=>[2,3,5,1,4]
[5,3,2,1,4,-]=>[5,3,2,1,4,6]=>[5,3,2,1,4]=>[2,3,5,1,4]
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[5,3,2,1,4]=>[2,3,5,1,4]
[5,3,2,+,1,+]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,2,-,1,+]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,2,+,1,-]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,2,-,1,-]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,2,+,6,1]=>[5,3,2,4,6,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,2,-,6,1]=>[5,3,2,4,6,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,4,1,2,+]=>[5,3,4,1,2,6]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,4,1,2,-]=>[5,3,4,1,2,6]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,4,2,1,+]=>[5,3,4,2,1,6]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,3,4,2,1,-]=>[5,3,4,2,1,6]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,6,+,1,2]=>[5,3,6,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,6,-,1,2]=>[5,3,6,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,6,+,2,1]=>[5,3,6,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,3,6,-,2,1]=>[5,3,6,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,4,1,2,3,+]=>[5,4,1,2,3,6]=>[5,4,1,2,3]=>[4,1,2,5,3]
[5,4,1,2,3,-]=>[5,4,1,2,3,6]=>[5,4,1,2,3]=>[4,1,2,5,3]
[5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[5,4,1,2,3]=>[4,1,2,5,3]
[5,4,1,3,2,+]=>[5,4,1,3,2,6]=>[5,4,1,3,2]=>[4,3,1,5,2]
[5,4,1,3,2,-]=>[5,4,1,3,2,6]=>[5,4,1,3,2]=>[4,3,1,5,2]
[5,4,1,3,6,2]=>[5,4,1,3,6,2]=>[5,4,1,3,2]=>[4,3,1,5,2]
[5,4,1,6,2,3]=>[5,4,1,6,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]
[5,4,2,1,3,+]=>[5,4,2,1,3,6]=>[5,4,2,1,3]=>[2,4,1,5,3]
[5,4,2,1,3,-]=>[5,4,2,1,3,6]=>[5,4,2,1,3]=>[2,4,1,5,3]
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[5,4,2,1,3]=>[2,4,1,5,3]
[5,4,2,3,1,+]=>[5,4,2,3,1,6]=>[5,4,2,3,1]=>[3,4,2,5,1]
[5,4,2,3,1,-]=>[5,4,2,3,1,6]=>[5,4,2,3,1]=>[3,4,2,5,1]
[5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[5,4,2,3,1]=>[3,4,2,5,1]
[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]
[5,4,+,1,2,+]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,-,1,2,+]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,+,1,2,-]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,-,1,2,-]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,+,1,6,2]=>[5,4,3,1,6,2]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,-,1,6,2]=>[5,4,3,1,6,2]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,+,2,1,+]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,-,2,1,+]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,+,2,1,-]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,-,2,1,-]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,+,2,6,1]=>[5,4,3,2,6,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,-,2,6,1]=>[5,4,3,2,6,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,+,6,1,2]=>[5,4,3,6,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,-,6,1,2]=>[5,4,3,6,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,+,6,2,1]=>[5,4,3,6,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,-,6,2,1]=>[5,4,3,6,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]
[5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]
[5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]
[5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[5,6,1,+,2,3]=>[5,6,1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,6,1,-,2,3]=>[5,6,1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[5,6,1,+,3,2]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,6,1,-,3,2]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[5,6,2,+,1,3]=>[5,6,2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,6,2,-,1,3]=>[5,6,2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[5,6,2,+,3,1]=>[5,6,2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,6,2,-,3,1]=>[5,6,2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[5,6,+,1,2,4]=>[5,6,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]
[5,6,-,1,2,4]=>[5,6,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]
[5,6,+,1,4,2]=>[5,6,3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,6,-,1,4,2]=>[5,6,3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[5,6,+,2,1,4]=>[5,6,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]
[5,6,-,2,1,4]=>[5,6,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]
[5,6,+,2,4,1]=>[5,6,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,6,-,2,4,1]=>[5,6,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[5,6,+,+,1,2]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,6,-,+,1,2]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,6,+,-,1,2]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,6,-,-,1,2]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[5,6,+,+,2,1]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,6,-,+,2,1]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,6,+,-,2,1]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,6,-,-,2,1]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[6,1,2,3,+,4]=>[6,1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[6,1,2,3,-,4]=>[6,1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[6,1,2,+,3,5]=>[6,1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[6,1,2,-,3,5]=>[6,1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[6,1,2,+,+,3]=>[6,1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[6,1,2,-,+,3]=>[6,1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[6,1,2,+,-,3]=>[6,1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[6,1,2,-,-,3]=>[6,1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]
[6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[6,1,+,2,4,5]=>[6,1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[6,1,-,2,4,5]=>[6,1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[6,1,+,2,+,4]=>[6,1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[6,1,-,2,+,4]=>[6,1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[6,1,+,2,-,4]=>[6,1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[6,1,-,2,-,4]=>[6,1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[6,1,+,+,2,5]=>[6,1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[6,1,-,+,2,5]=>[6,1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[6,1,+,-,2,5]=>[6,1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[6,1,-,-,2,5]=>[6,1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[6,1,+,+,+,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,-,+,+,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,+,-,+,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,+,+,-,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,-,-,+,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,-,+,-,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,+,-,-,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,-,-,-,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[6,1,+,5,2,4]=>[6,1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[6,1,-,5,2,4]=>[6,1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[6,1,+,5,4,2]=>[6,1,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[6,1,-,5,4,2]=>[6,1,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[6,1,4,2,+,3]=>[6,1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[6,1,4,2,-,3]=>[6,1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[6,1,4,3,+,2]=>[6,1,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[6,1,4,3,-,2]=>[6,1,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[6,1,4,5,2,3]=>[6,1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]
[6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]
[6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]
[6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]
[6,1,5,+,2,3]=>[6,1,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[6,1,5,-,2,3]=>[6,1,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]
[6,1,5,+,3,2]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[6,1,5,-,3,2]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[6,+,1,3,4,5]=>[6,2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[6,-,1,3,4,5]=>[6,2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[6,+,1,3,+,4]=>[6,2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[6,-,1,3,+,4]=>[6,2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[6,+,1,3,-,4]=>[6,2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[6,-,1,3,-,4]=>[6,2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[6,+,1,+,3,5]=>[6,2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[6,-,1,+,3,5]=>[6,2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[6,+,1,-,3,5]=>[6,2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[6,-,1,-,3,5]=>[6,2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]
[6,+,1,+,+,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,-,1,+,+,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,+,1,-,+,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,+,1,+,-,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,-,1,-,+,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,-,1,+,-,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,+,1,-,-,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,-,1,-,-,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]
[6,+,1,5,3,4]=>[6,2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]
[6,-,1,5,3,4]=>[6,2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]
[6,+,1,5,4,3]=>[6,2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]
[6,-,1,5,4,3]=>[6,2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]
[6,+,+,1,4,5]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[6,-,+,1,4,5]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[6,+,-,1,4,5]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[6,-,-,1,4,5]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[6,+,+,1,+,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,-,+,1,+,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,+,-,1,+,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,+,+,1,-,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,-,-,1,+,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,-,+,1,-,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,+,-,1,-,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,-,-,1,-,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]
[6,+,+,+,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,-,+,+,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,+,-,+,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,+,+,-,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,-,-,+,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,-,+,-,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,+,-,-,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,-,-,-,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[6,+,+,+,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,+,+,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,-,+,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,+,-,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,+,+,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,-,+,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,+,-,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,+,+,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,-,-,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,-,+,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,+,-,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,-,-,+,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,-,+,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,+,-,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,-,-,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,-,-,-,-,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[6,+,+,5,1,4]=>[6,2,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[6,-,+,5,1,4]=>[6,2,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[6,+,-,5,1,4]=>[6,2,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[6,-,-,5,1,4]=>[6,2,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[6,+,+,5,4,1]=>[6,2,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[6,-,+,5,4,1]=>[6,2,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[6,+,-,5,4,1]=>[6,2,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[6,-,-,5,4,1]=>[6,2,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[6,+,4,1,3,5]=>[6,2,4,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]
[6,-,4,1,3,5]=>[6,2,4,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]
[6,+,4,1,+,3]=>[6,2,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[6,-,4,1,+,3]=>[6,2,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[6,+,4,1,-,3]=>[6,2,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[6,-,4,1,-,3]=>[6,2,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]
[6,+,4,3,1,5]=>[6,2,4,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[6,-,4,3,1,5]=>[6,2,4,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[6,+,4,3,+,1]=>[6,2,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[6,-,4,3,+,1]=>[6,2,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[6,+,4,3,-,1]=>[6,2,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[6,-,4,3,-,1]=>[6,2,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[6,+,4,5,1,3]=>[6,2,4,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]
[6,-,4,5,1,3]=>[6,2,4,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]
[6,+,4,5,3,1]=>[6,2,4,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]
[6,-,4,5,3,1]=>[6,2,4,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]
[6,+,5,1,3,4]=>[6,2,5,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]
[6,-,5,1,3,4]=>[6,2,5,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]
[6,+,5,1,4,3]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]
[6,-,5,1,4,3]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]
[6,+,5,3,1,4]=>[6,2,5,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[6,-,5,3,1,4]=>[6,2,5,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]
[6,+,5,3,4,1]=>[6,2,5,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[6,-,5,3,4,1]=>[6,2,5,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]
[6,+,5,+,1,3]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[6,-,5,+,1,3]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[6,+,5,-,1,3]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[6,-,5,-,1,3]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[6,+,5,+,3,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[6,-,5,+,3,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[6,+,5,-,3,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[6,-,5,-,3,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]
[6,3,1,2,+,4]=>[6,3,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[6,3,1,2,-,4]=>[6,3,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]
[6,3,1,+,2,5]=>[6,3,1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[6,3,1,-,2,5]=>[6,3,1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]
[6,3,1,+,+,2]=>[6,3,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[6,3,1,-,+,2]=>[6,3,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[6,3,1,+,-,2]=>[6,3,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[6,3,1,-,-,2]=>[6,3,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]
[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]
[6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[6,3,2,1,+,4]=>[6,3,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[6,3,2,1,-,4]=>[6,3,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]
[6,3,2,+,1,5]=>[6,3,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[6,3,2,-,1,5]=>[6,3,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[6,3,2,+,+,1]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[6,3,2,-,+,1]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[6,3,2,+,-,1]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[6,3,2,-,-,1]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]
[6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]
[6,3,4,1,+,2]=>[6,3,4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[6,3,4,1,-,2]=>[6,3,4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]
[6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]
[6,3,4,2,+,1]=>[6,3,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[6,3,4,2,-,1]=>[6,3,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]
[6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]
[6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]
[6,3,5,+,1,2]=>[6,3,5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[6,3,5,-,1,2]=>[6,3,5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]
[6,3,5,+,2,1]=>[6,3,5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[6,3,5,-,2,1]=>[6,3,5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]
[6,4,1,2,+,3]=>[6,4,1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[6,4,1,2,-,3]=>[6,4,1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]
[6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[6,4,1,3,+,2]=>[6,4,1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[6,4,1,3,-,2]=>[6,4,1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]
[6,4,1,5,2,3]=>[6,4,1,5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]
[6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[6,4,2,1,+,3]=>[6,4,2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[6,4,2,1,-,3]=>[6,4,2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]
[6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[6,4,2,3,+,1]=>[6,4,2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[6,4,2,3,-,1]=>[6,4,2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]
[6,4,+,1,2,5]=>[6,4,3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[6,4,-,1,2,5]=>[6,4,3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[6,4,+,1,+,2]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[6,4,-,1,+,2]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[6,4,+,1,-,2]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[6,4,-,1,-,2]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]
[6,4,+,2,1,5]=>[6,4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[6,4,-,2,1,5]=>[6,4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[6,4,+,2,+,1]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[6,4,-,2,+,1]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[6,4,+,2,-,1]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[6,4,-,2,-,1]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[6,4,+,5,1,2]=>[6,4,3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]
[6,4,-,5,1,2]=>[6,4,3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]
[6,4,+,5,2,1]=>[6,4,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[6,4,-,5,2,1]=>[6,4,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]
[6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]
[6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]
[6,5,1,3,4,2]=>[6,5,1,3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]
[6,5,1,+,2,3]=>[6,5,1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[6,5,1,-,2,3]=>[6,5,1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]
[6,5,1,+,3,2]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[6,5,1,-,3,2]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]
[6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]
[6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]
[6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[6,5,2,+,1,3]=>[6,5,2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[6,5,2,-,1,3]=>[6,5,2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]
[6,5,2,+,3,1]=>[6,5,2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[6,5,2,-,3,1]=>[6,5,2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]
[6,5,+,1,2,4]=>[6,5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]
[6,5,-,1,2,4]=>[6,5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]
[6,5,+,1,4,2]=>[6,5,3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[6,5,-,1,4,2]=>[6,5,3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]
[6,5,+,2,1,4]=>[6,5,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]
[6,5,-,2,1,4]=>[6,5,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]
[6,5,+,2,4,1]=>[6,5,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[6,5,-,2,4,1]=>[6,5,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[6,5,+,+,1,2]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[6,5,-,+,1,2]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[6,5,+,-,1,2]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[6,5,-,-,1,2]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]
[6,5,+,+,2,1]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[6,5,-,+,2,1]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[6,5,+,-,2,1]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[6,5,-,-,2,1]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]
[6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]
[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
Map
permutation
Description
The underlying permutation of the decorated permutation.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
searching the database
Sorry, this map was not found in the database.