Identifier
Mp00256: Decorated permutations upper permutationPermutations
Mp00235: Permutations descent views to invisible inversion bottomsPermutations
Mp00065: Permutations permutation poset Posets
Images
=>
Cc0014;cc-rep-3
[+]=>[1]=>[1]=>([],1) [-]=>[1]=>[1]=>([],1) [+,+]=>[1,2]=>[1,2]=>([(0,1)],2) [-,+]=>[2,1]=>[2,1]=>([],2) [+,-]=>[1,2]=>[1,2]=>([(0,1)],2) [-,-]=>[1,2]=>[1,2]=>([(0,1)],2) [2,1]=>[2,1]=>[2,1]=>([],2) [+,+,+]=>[1,2,3]=>[1,2,3]=>([(0,2),(2,1)],3) [-,+,+]=>[2,3,1]=>[3,2,1]=>([],3) [+,-,+]=>[1,3,2]=>[1,3,2]=>([(0,1),(0,2)],3) [+,+,-]=>[1,2,3]=>[1,2,3]=>([(0,2),(2,1)],3) [-,-,+]=>[3,1,2]=>[3,1,2]=>([(1,2)],3) [-,+,-]=>[2,1,3]=>[2,1,3]=>([(0,2),(1,2)],3) [+,-,-]=>[1,2,3]=>[1,2,3]=>([(0,2),(2,1)],3) [-,-,-]=>[1,2,3]=>[1,2,3]=>([(0,2),(2,1)],3) [+,3,2]=>[1,3,2]=>[1,3,2]=>([(0,1),(0,2)],3) [-,3,2]=>[3,1,2]=>[3,1,2]=>([(1,2)],3) [2,1,+]=>[2,3,1]=>[3,2,1]=>([],3) [2,1,-]=>[2,1,3]=>[2,1,3]=>([(0,2),(1,2)],3) [2,3,1]=>[3,1,2]=>[3,1,2]=>([(1,2)],3) [3,1,2]=>[2,3,1]=>[3,2,1]=>([],3) [3,+,1]=>[2,3,1]=>[3,2,1]=>([],3) [3,-,1]=>[3,1,2]=>[3,1,2]=>([(1,2)],3) [+,+,+,+]=>[1,2,3,4]=>[1,2,3,4]=>([(0,3),(2,1),(3,2)],4) [-,+,+,+]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [+,-,+,+]=>[1,3,4,2]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4) [+,+,-,+]=>[1,2,4,3]=>[1,2,4,3]=>([(0,3),(3,1),(3,2)],4) [+,+,+,-]=>[1,2,3,4]=>[1,2,3,4]=>([(0,3),(2,1),(3,2)],4) [-,-,+,+]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [-,+,-,+]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [-,+,+,-]=>[2,3,1,4]=>[3,2,1,4]=>([(0,3),(1,3),(2,3)],4) [+,-,-,+]=>[1,4,2,3]=>[1,4,2,3]=>([(0,2),(0,3),(3,1)],4) [+,-,+,-]=>[1,3,2,4]=>[1,3,2,4]=>([(0,1),(0,2),(1,3),(2,3)],4) [+,+,-,-]=>[1,2,3,4]=>[1,2,3,4]=>([(0,3),(2,1),(3,2)],4) [-,-,-,+]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [-,-,+,-]=>[3,1,2,4]=>[3,1,2,4]=>([(0,3),(1,2),(2,3)],4) [-,+,-,-]=>[2,1,3,4]=>[2,1,3,4]=>([(0,3),(1,3),(3,2)],4) [+,-,-,-]=>[1,2,3,4]=>[1,2,3,4]=>([(0,3),(2,1),(3,2)],4) [-,-,-,-]=>[1,2,3,4]=>[1,2,3,4]=>([(0,3),(2,1),(3,2)],4) [+,+,4,3]=>[1,2,4,3]=>[1,2,4,3]=>([(0,3),(3,1),(3,2)],4) [-,+,4,3]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [+,-,4,3]=>[1,4,2,3]=>[1,4,2,3]=>([(0,2),(0,3),(3,1)],4) [-,-,4,3]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [+,3,2,+]=>[1,3,4,2]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4) [-,3,2,+]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [+,3,2,-]=>[1,3,2,4]=>[1,3,2,4]=>([(0,1),(0,2),(1,3),(2,3)],4) [-,3,2,-]=>[3,1,2,4]=>[3,1,2,4]=>([(0,3),(1,2),(2,3)],4) [+,3,4,2]=>[1,4,2,3]=>[1,4,2,3]=>([(0,2),(0,3),(3,1)],4) [-,3,4,2]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [+,4,2,3]=>[1,3,4,2]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4) [-,4,2,3]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [+,4,+,2]=>[1,3,4,2]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4) [-,4,+,2]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [+,4,-,2]=>[1,4,2,3]=>[1,4,2,3]=>([(0,2),(0,3),(3,1)],4) [-,4,-,2]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [2,1,+,+]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [2,1,-,+]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [2,1,+,-]=>[2,3,1,4]=>[3,2,1,4]=>([(0,3),(1,3),(2,3)],4) [2,1,-,-]=>[2,1,3,4]=>[2,1,3,4]=>([(0,3),(1,3),(3,2)],4) [2,1,4,3]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [2,3,1,+]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [2,3,1,-]=>[3,1,2,4]=>[3,1,2,4]=>([(0,3),(1,2),(2,3)],4) [2,3,4,1]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [2,4,1,3]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [2,4,+,1]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [2,4,-,1]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [3,1,2,+]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [3,1,2,-]=>[2,3,1,4]=>[3,2,1,4]=>([(0,3),(1,3),(2,3)],4) [3,1,4,2]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [3,+,1,+]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [3,-,1,+]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [3,+,1,-]=>[2,3,1,4]=>[3,2,1,4]=>([(0,3),(1,3),(2,3)],4) [3,-,1,-]=>[3,1,2,4]=>[3,1,2,4]=>([(0,3),(1,2),(2,3)],4) [3,+,4,1]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [3,-,4,1]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [3,4,1,2]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [3,4,2,1]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [4,1,2,3]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [4,1,+,2]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [4,1,-,2]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [4,+,1,3]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [4,-,1,3]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [4,+,+,1]=>[2,3,4,1]=>[4,2,3,1]=>([(2,3)],4) [4,-,+,1]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [4,+,-,1]=>[2,4,1,3]=>[4,2,1,3]=>([(1,3),(2,3)],4) [4,-,-,1]=>[4,1,2,3]=>[4,1,2,3]=>([(1,2),(2,3)],4) [4,3,1,2]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [4,3,2,1]=>[3,4,1,2]=>[4,1,3,2]=>([(1,2),(1,3)],4) [+,+,+,+,+]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5) [-,+,+,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [+,-,+,+,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [+,+,-,+,+]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5) [+,+,+,-,+]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(0,3),(3,4),(4,1),(4,2)],5) [+,+,+,+,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5) [-,-,+,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [-,+,-,+,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [-,+,+,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [-,+,+,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [+,-,-,+,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [+,-,+,-,+]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [+,-,+,+,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) [+,+,-,-,+]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5) [+,+,-,+,-]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [+,+,+,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5) [-,-,-,+,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [-,-,+,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [-,-,+,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [-,+,-,-,+]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [-,+,-,+,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [-,+,+,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5) [+,-,-,-,+]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [+,-,-,+,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [+,-,+,-,-]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [+,+,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5) [-,-,-,-,+]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [-,-,-,+,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [-,-,+,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5) [-,+,-,-,-]=>[2,1,3,4,5]=>[2,1,3,4,5]=>([(0,4),(1,4),(2,3),(4,2)],5) [+,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5) [-,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5) [+,+,+,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(0,3),(3,4),(4,1),(4,2)],5) [-,+,+,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [+,-,+,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [+,+,-,5,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5) [-,-,+,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [-,+,-,5,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [+,-,-,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [-,-,-,5,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [+,+,4,3,+]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5) [-,+,4,3,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [+,-,4,3,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [+,+,4,3,-]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [-,-,4,3,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [-,+,4,3,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [+,-,4,3,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [-,-,4,3,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [+,+,4,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5) [-,+,4,5,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [+,-,4,5,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [-,-,4,5,3]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [+,+,5,3,4]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5) [-,+,5,3,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [+,-,5,3,4]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,-,5,3,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,+,5,+,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5) [-,+,5,+,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [+,-,5,+,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [+,+,5,-,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5) [-,-,5,+,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [-,+,5,-,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [+,-,5,-,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [-,-,5,-,3]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [+,3,2,+,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [-,3,2,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [+,3,2,-,+]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [+,3,2,+,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) [-,3,2,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [-,3,2,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [+,3,2,-,-]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [-,3,2,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5) [+,3,2,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [-,3,2,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [+,3,4,2,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,3,4,2,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,3,4,2,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [-,3,4,2,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [+,3,4,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [-,3,4,5,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [+,3,5,2,4]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,3,5,2,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,3,5,+,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,3,5,+,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,3,5,-,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [-,3,5,-,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [+,4,2,3,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [-,4,2,3,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [+,4,2,3,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) [-,4,2,3,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [+,4,2,5,3]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [-,4,2,5,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [+,4,+,2,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [-,4,+,2,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [+,4,-,2,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [+,4,+,2,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) [-,4,-,2,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [-,4,+,2,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [+,4,-,2,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [-,4,-,2,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [+,4,+,5,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [-,4,+,5,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [+,4,-,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [-,4,-,5,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [+,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,4,5,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,4,5,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,4,5,3,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,5,2,3,4]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [-,5,2,3,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [+,5,2,+,3]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [-,5,2,+,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [+,5,2,-,3]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [-,5,2,-,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [+,5,+,2,4]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [-,5,+,2,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [+,5,-,2,4]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,5,-,2,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,5,+,+,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) [-,5,+,+,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [+,5,-,+,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [+,5,+,-,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [-,5,-,+,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [-,5,+,-,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [+,5,-,-,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5) [-,5,-,-,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [+,5,4,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,5,4,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,5,4,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5) [-,5,4,3,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,1,+,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [2,1,-,+,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [2,1,+,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [2,1,+,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [2,1,-,-,+]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [2,1,-,+,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [2,1,+,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5) [2,1,-,-,-]=>[2,1,3,4,5]=>[2,1,3,4,5]=>([(0,4),(1,4),(2,3),(4,2)],5) [2,1,+,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [2,1,-,5,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [2,1,4,3,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [2,1,4,3,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [2,1,4,5,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [2,1,5,3,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [2,1,5,+,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [2,1,5,-,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [2,3,1,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [2,3,1,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [2,3,1,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [2,3,1,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5) [2,3,1,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [2,3,4,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,3,4,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [2,3,5,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,3,5,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,3,5,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [2,4,1,3,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [2,4,1,3,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [2,4,1,5,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [2,4,+,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [2,4,-,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,4,+,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [2,4,-,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [2,4,+,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [2,4,-,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [2,4,5,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,4,5,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,5,1,3,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [2,5,1,+,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [2,5,1,-,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [2,5,+,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [2,5,-,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,5,+,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [2,5,-,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,5,+,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [2,5,-,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [2,5,4,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [2,5,4,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [3,1,2,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [3,1,2,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [3,1,2,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [3,1,2,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5) [3,1,2,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [3,1,4,2,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [3,1,4,2,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [3,1,4,5,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [3,1,5,2,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [3,1,5,+,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [3,1,5,-,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [3,+,1,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [3,-,1,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [3,+,1,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [3,+,1,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [3,-,1,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [3,-,1,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [3,+,1,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5) [3,-,1,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5) [3,+,1,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [3,-,1,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [3,+,4,1,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [3,-,4,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [3,+,4,1,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [3,-,4,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [3,+,4,5,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [3,-,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [3,+,5,1,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [3,-,5,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [3,+,5,+,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [3,-,5,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [3,+,5,-,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [3,-,5,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [3,4,1,2,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [3,4,1,2,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [3,4,1,5,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [3,4,2,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [3,4,2,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [3,4,2,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [3,4,5,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [3,4,5,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [3,5,1,2,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [3,5,1,+,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [3,5,1,-,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [3,5,2,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [3,5,2,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [3,5,2,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [3,5,4,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [3,5,4,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [4,1,2,3,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [4,1,2,3,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [4,1,2,5,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [4,1,+,2,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [4,1,-,2,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [4,1,+,2,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [4,1,-,2,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [4,1,+,5,2]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [4,1,-,5,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [4,1,5,2,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [4,1,5,3,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [4,+,1,3,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [4,-,1,3,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,+,1,3,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [4,-,1,3,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [4,+,1,5,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [4,-,1,5,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [4,+,+,1,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [4,-,+,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,+,-,1,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [4,+,+,1,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) [4,-,-,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [4,-,+,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [4,+,-,1,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5) [4,-,-,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5) [4,+,+,5,1]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [4,-,+,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [4,+,-,5,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [4,-,-,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [4,+,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [4,-,5,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [4,+,5,3,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [4,-,5,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [4,3,1,2,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,3,1,2,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [4,3,1,5,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [4,3,2,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,3,2,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [4,3,2,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [4,3,5,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [4,3,5,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [4,5,1,2,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,5,1,3,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,5,2,1,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,5,2,3,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,5,+,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,5,-,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [4,5,+,2,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [4,5,-,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,1,2,3,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,1,2,+,3]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,1,2,-,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [5,1,+,2,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,1,-,2,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,1,+,+,2]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,1,-,+,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,1,+,-,2]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [5,1,-,-,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [5,1,4,2,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,1,4,3,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,+,1,3,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,-,1,3,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,+,1,+,3]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,-,1,+,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,+,1,-,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [5,-,1,-,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [5,+,+,1,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,-,+,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,+,-,1,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,-,-,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,+,+,+,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>([(2,3),(3,4)],5) [5,-,+,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,+,-,+,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,+,+,-,1]=>[2,3,5,1,4]=>[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5) [5,-,-,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,-,+,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [5,+,-,-,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5) [5,-,-,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5) [5,+,4,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,-,4,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,+,4,3,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [5,-,4,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,3,1,2,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,3,1,+,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,3,1,-,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [5,3,2,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,3,2,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,3,2,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5) [5,3,4,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,3,4,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,4,1,2,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,4,1,3,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,4,2,1,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,4,2,3,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,4,+,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,4,-,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [5,4,+,2,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5) [5,4,-,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5) [+,+,+,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [-,+,+,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [+,-,+,+,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [+,+,-,+,+,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [+,+,+,-,+,+]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6) [+,+,+,+,-,+]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6) [+,+,+,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [-,-,+,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [-,+,-,+,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [-,+,+,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [-,+,+,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [-,+,+,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [+,-,-,+,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,-,+,-,+,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,-,+,+,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [+,-,+,+,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [+,+,-,-,+,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [+,+,-,+,-,+]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [+,+,-,+,+,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [+,+,+,-,-,+]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6) [+,+,+,-,+,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [+,+,+,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [-,-,-,+,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,-,+,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,-,+,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [-,-,+,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [-,+,-,-,+,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [-,+,-,+,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [-,+,-,+,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [-,+,+,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [-,+,+,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [-,+,+,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [+,-,-,-,+,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,-,-,+,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,-,-,+,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [+,-,+,-,-,+]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [+,-,+,-,+,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [+,-,+,+,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) [+,+,-,-,-,+]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [+,+,-,-,+,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) [+,+,-,+,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [+,+,+,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [-,-,-,-,+,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,-,-,+,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,-,-,+,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,-,+,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,-,+,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,-,+,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,+,-,-,-,+]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [-,+,-,-,+,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [-,+,-,+,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [-,+,+,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6) [+,-,-,-,-,+]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [+,-,-,-,+,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [+,-,-,+,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) [+,-,+,-,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) [+,+,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [-,-,-,-,-,+]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [-,-,-,-,+,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [-,-,-,+,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [-,-,+,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6) [-,+,-,-,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6) [+,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [-,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [+,+,+,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6) [-,+,+,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [+,-,+,+,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [+,+,-,+,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [+,+,+,-,6,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6) [-,-,+,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [-,+,-,+,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [-,+,+,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [+,-,-,+,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,-,+,-,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [+,+,-,-,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [-,-,-,+,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,-,+,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,+,-,-,6,5]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [+,-,-,-,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,-,-,-,6,5]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,+,+,5,4,+]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6) [-,+,+,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [+,-,+,5,4,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,+,-,5,4,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [+,+,+,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [-,-,+,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,+,-,5,4,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [-,+,+,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [+,-,-,5,4,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,-,+,5,4,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [+,+,-,5,4,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) [-,-,-,5,4,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,-,+,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,+,-,5,4,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [+,-,-,5,4,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [-,-,-,5,4,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [+,+,+,5,6,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6) [-,+,+,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [+,-,+,5,6,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [+,+,-,5,6,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [-,-,+,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,+,-,5,6,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [+,-,-,5,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,-,-,5,6,4]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,+,+,6,4,5]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6) [-,+,+,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [+,-,+,6,4,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,+,-,6,4,5]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,-,+,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,+,-,6,4,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,-,6,4,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,-,-,6,4,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,+,+,6,+,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6) [-,+,+,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [+,-,+,6,+,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,+,-,6,+,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [+,+,+,6,-,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6) [-,-,+,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,+,-,6,+,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [-,+,+,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [+,-,-,6,+,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,-,+,6,-,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [+,+,-,6,-,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [-,-,-,6,+,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,-,+,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,+,-,6,-,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [+,-,-,6,-,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,-,-,6,-,4]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,+,4,3,+,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [-,+,4,3,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [+,-,4,3,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,+,4,3,-,+]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [+,+,4,3,+,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,-,4,3,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,+,4,3,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [-,+,4,3,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,4,3,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,-,4,3,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [+,+,4,3,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [-,-,4,3,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,-,4,3,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,+,4,3,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [+,-,4,3,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) [-,-,4,3,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [+,+,4,3,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,+,4,3,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,4,3,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,-,4,3,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,+,4,5,3,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,+,4,5,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,4,5,3,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,+,4,5,3,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) [-,-,4,5,3,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,+,4,5,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [+,-,4,5,3,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [-,-,4,5,3,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [+,+,4,5,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [-,+,4,5,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [+,-,4,5,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,-,4,5,6,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,+,4,6,3,5]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,+,4,6,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,4,6,3,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,-,4,6,3,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,+,4,6,+,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,+,4,6,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,4,6,+,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,+,4,6,-,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [-,-,4,6,+,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,+,4,6,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [+,-,4,6,-,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,-,4,6,-,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,+,5,3,4,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [-,+,5,3,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [+,-,5,3,4,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,+,5,3,4,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,-,5,3,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,+,5,3,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,5,3,4,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,-,5,3,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,+,5,3,6,4]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,+,5,3,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,5,3,6,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,-,5,3,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,+,5,+,3,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [-,+,5,+,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [+,-,5,+,3,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,+,5,-,3,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [+,+,5,+,3,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,-,5,+,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,+,5,-,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [-,+,5,+,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,5,-,3,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,-,5,+,3,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [+,+,5,-,3,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) [-,-,5,-,3,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,-,5,+,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,+,5,-,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [+,-,5,-,3,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [-,-,5,-,3,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [+,+,5,+,6,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,+,5,+,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,5,+,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,+,5,-,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [-,-,5,+,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,+,5,-,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [+,-,5,-,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,-,5,-,6,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,+,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,+,5,6,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,5,6,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,-,5,6,3,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,+,5,6,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,+,5,6,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,5,6,4,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,-,5,6,4,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,+,6,3,4,5]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [-,+,6,3,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [+,-,6,3,4,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,-,6,3,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,+,6,3,+,4]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [-,+,6,3,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [+,-,6,3,+,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,+,6,3,-,4]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,-,6,3,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,+,6,3,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,6,3,-,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,-,6,3,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,+,6,+,3,5]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [-,+,6,+,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [+,-,6,+,3,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,+,6,-,3,5]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,-,6,+,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,+,6,-,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,6,-,3,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,-,6,-,3,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,+,6,+,+,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [-,+,6,+,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [+,-,6,+,+,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,+,6,-,+,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [+,+,6,+,-,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [-,-,6,+,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,+,6,-,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [-,+,6,+,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [+,-,6,-,+,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,-,6,+,-,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,+,6,-,-,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) [-,-,6,-,+,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,-,6,+,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,+,6,-,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [+,-,6,-,-,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,-,6,-,-,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,+,6,5,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,+,6,5,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,6,5,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,-,6,5,3,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,+,6,5,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [-,+,6,5,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [+,-,6,5,4,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,-,6,5,4,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,2,+,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,3,2,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,3,2,-,+,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,3,2,+,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [+,3,2,+,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [-,3,2,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,3,2,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [-,3,2,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,3,2,-,-,+]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [+,3,2,-,+,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [+,3,2,+,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) [-,3,2,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,3,2,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [-,3,2,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,3,2,-,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) [-,3,2,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6) [+,3,2,+,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,3,2,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,3,2,-,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,3,2,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,3,2,5,4,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,3,2,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,3,2,5,4,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [-,3,2,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,3,2,5,6,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,3,2,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,3,2,6,4,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,3,2,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,3,2,6,+,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,3,2,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,3,2,6,-,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,3,2,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,3,4,2,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,3,4,2,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,3,4,2,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,3,4,2,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,3,4,2,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,3,4,2,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,4,2,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) [-,3,4,2,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [+,3,4,2,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,3,4,2,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,4,5,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,4,5,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,4,5,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [-,3,4,5,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [+,3,4,5,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,3,4,5,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,3,4,6,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,4,6,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,4,6,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,4,6,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,4,6,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,3,4,6,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,3,5,2,4,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,3,5,2,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,3,5,2,4,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,3,5,2,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,5,2,6,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,3,5,2,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,5,+,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,3,5,+,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,3,5,-,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,3,5,+,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,3,5,-,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,3,5,+,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,5,-,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [-,3,5,-,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [+,3,5,+,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,3,5,+,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,5,-,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,3,5,-,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,3,5,6,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,5,6,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,5,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,5,6,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,6,2,4,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,3,6,2,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,3,6,2,+,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,3,6,2,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,3,6,2,-,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,3,6,2,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,6,+,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,3,6,+,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,3,6,-,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,6,-,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,6,+,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,3,6,+,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,3,6,-,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,3,6,+,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,3,6,-,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,3,6,+,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,3,6,-,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,3,6,-,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,3,6,5,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,6,5,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,3,6,5,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,3,6,5,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,4,2,3,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,4,2,3,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,4,2,3,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [+,4,2,3,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [-,4,2,3,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [-,4,2,3,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,4,2,3,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) [-,4,2,3,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,2,3,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,4,2,3,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,4,2,5,3,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,4,2,5,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,4,2,5,3,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [-,4,2,5,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,2,5,6,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,4,2,5,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,2,6,3,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,4,2,6,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,4,2,6,+,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,4,2,6,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,4,2,6,-,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,4,2,6,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,+,2,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,4,+,2,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,4,-,2,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,4,+,2,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [+,4,+,2,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [-,4,-,2,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,4,+,2,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [-,4,+,2,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,4,-,2,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,4,-,2,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [+,4,+,2,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) [-,4,-,2,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,4,-,2,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,4,+,2,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,-,2,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) [-,4,-,2,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [+,4,+,2,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,4,+,2,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,4,-,2,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,4,-,2,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,4,+,5,2,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,4,+,5,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,4,-,5,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,4,+,5,2,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [-,4,-,5,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,4,+,5,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,-,5,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [-,4,-,5,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [+,4,+,5,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,4,+,5,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,-,5,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,4,-,5,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,4,+,6,2,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,4,+,6,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,4,-,6,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,4,-,6,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,4,+,6,+,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,4,+,6,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,4,-,6,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,4,+,6,-,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,4,-,6,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,4,+,6,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,4,-,6,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,4,-,6,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,4,5,2,3,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,4,5,2,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,4,5,2,3,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,4,5,2,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,4,5,2,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,4,5,2,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,4,5,3,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,4,5,3,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,4,5,3,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,4,5,3,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,4,5,3,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,4,5,3,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,4,5,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,4,5,6,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,4,5,6,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,4,5,6,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,4,6,2,3,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,4,6,2,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,4,6,2,+,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,4,6,2,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,4,6,2,-,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,4,6,2,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,4,6,3,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,4,6,3,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,4,6,3,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,4,6,3,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,4,6,3,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,4,6,3,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,4,6,5,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,4,6,5,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,4,6,5,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,4,6,5,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,5,2,3,4,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,5,2,3,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,5,2,3,4,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [-,5,2,3,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,2,3,6,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,5,2,3,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,2,+,3,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,5,2,+,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,5,2,-,3,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,5,2,+,3,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [-,5,2,-,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,5,2,+,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,2,-,3,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [-,5,2,-,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,5,2,+,6,3]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,5,2,+,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,2,-,6,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,5,2,-,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,5,2,6,3,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,5,2,6,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,5,2,6,4,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,5,2,6,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,5,+,2,4,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,5,+,2,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,5,-,2,4,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,5,+,2,4,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [-,5,-,2,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,5,+,2,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,-,2,4,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,5,-,2,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,5,+,2,6,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,5,+,2,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,-,2,6,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,5,-,2,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,5,+,+,2,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,5,+,+,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,5,-,+,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,5,+,-,2,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,5,+,+,2,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [-,5,-,+,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,5,+,-,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,5,+,+,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,-,-,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,5,-,+,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [+,5,+,-,2,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [-,5,-,-,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,5,-,+,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,5,+,-,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,5,-,-,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) [-,5,-,-,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [+,5,+,+,6,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,5,+,+,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,5,-,+,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,5,+,-,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,5,-,+,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,5,+,-,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,5,-,-,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,5,-,-,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,5,+,6,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,5,+,6,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,5,-,6,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,5,-,6,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,5,+,6,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,5,+,6,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,5,-,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,5,-,6,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,5,4,2,3,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,4,2,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,4,2,3,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,5,4,2,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,5,4,2,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,5,4,2,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,5,4,3,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,4,3,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,4,3,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [-,5,4,3,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,5,4,3,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,5,4,3,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,5,4,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,5,4,6,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,5,4,6,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,5,4,6,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,5,6,2,3,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,6,2,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,6,2,4,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,6,2,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,6,3,2,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,6,3,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,6,3,4,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,6,3,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,6,+,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,6,+,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,6,-,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,5,6,-,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,5,6,+,3,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,5,6,+,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,5,6,-,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,5,6,-,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,6,2,3,4,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,2,3,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,2,3,+,4]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,2,3,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,2,3,-,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,6,2,3,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,6,2,+,3,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,2,+,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,2,-,3,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,2,-,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,2,+,+,3]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,2,+,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,2,-,+,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,2,+,-,3]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,6,2,-,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,2,+,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,6,2,-,-,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,6,2,-,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,6,2,5,3,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,2,5,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,2,5,4,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,2,5,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,+,2,4,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,+,2,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,-,2,4,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,-,2,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,+,2,+,4]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,+,2,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,-,2,+,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,6,+,2,-,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,6,-,2,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,6,+,2,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,6,-,2,-,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,6,-,2,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,6,+,+,2,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,+,+,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,-,+,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,6,+,-,2,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,-,+,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,6,+,-,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,-,-,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,6,-,-,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,6,+,+,+,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) [-,6,+,+,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [+,6,-,+,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [+,6,+,-,+,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,+,+,-,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) [-,6,-,+,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [-,6,+,-,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,+,+,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [+,6,-,-,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [+,6,-,+,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [+,6,+,-,-,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) [-,6,-,-,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [-,6,-,+,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [-,6,+,-,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [+,6,-,-,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) [-,6,-,-,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [+,6,+,5,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,+,5,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,-,5,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,6,-,5,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,6,+,5,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [-,6,+,5,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [+,6,-,5,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,6,-,5,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,6,4,2,3,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,4,2,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,4,2,+,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,4,2,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,4,2,-,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,6,4,2,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,6,4,3,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,4,3,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,4,3,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,4,3,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,4,3,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) [-,6,4,3,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [+,6,4,5,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,6,4,5,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,6,4,5,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,6,4,5,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,6,5,2,3,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,5,2,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,5,2,4,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,5,2,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,5,3,2,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,5,3,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,5,3,4,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,5,3,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,5,+,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,5,+,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,5,-,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,6,5,-,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [+,6,5,+,3,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) [-,6,5,+,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [+,6,5,-,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) [-,6,5,-,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,1,+,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [2,1,-,+,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,+,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [2,1,+,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [2,1,+,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [2,1,-,-,+,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,-,+,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,-,+,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,+,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [2,1,+,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [2,1,+,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [2,1,-,-,-,+]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,-,-,+,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [2,1,-,+,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [2,1,+,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6) [2,1,-,-,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6) [2,1,+,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [2,1,-,+,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,+,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [2,1,-,-,6,5]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,+,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [2,1,-,5,4,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,+,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [2,1,-,5,4,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [2,1,+,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [2,1,-,5,6,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,+,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [2,1,-,6,4,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,+,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [2,1,-,6,+,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,+,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [2,1,-,6,-,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,4,3,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,4,3,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,4,3,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,4,3,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [2,1,4,3,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,4,5,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,4,5,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [2,1,4,5,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,4,6,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,4,6,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,4,6,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,5,3,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,5,3,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,5,3,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,5,+,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,5,-,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,5,+,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,5,-,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [2,1,5,+,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,5,-,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,5,6,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,5,6,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,6,3,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,6,3,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,6,3,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,6,+,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,6,-,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,6,+,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [2,1,6,-,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,6,+,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [2,1,6,-,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [2,1,6,5,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,1,6,5,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [2,3,1,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,3,1,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,3,1,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,3,1,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,3,1,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,3,1,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,3,1,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,3,1,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6) [2,3,1,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,3,1,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,3,1,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,3,1,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,3,1,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,3,1,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,3,1,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,3,1,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,3,4,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,3,4,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,4,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,4,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [2,3,4,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,4,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,4,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,3,4,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,4,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,4,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,3,5,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,3,5,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,5,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,5,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,3,5,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,5,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,5,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [2,3,5,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,5,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,3,5,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,5,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,6,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,3,6,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,3,6,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,6,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,3,6,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,6,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,3,6,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,6,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,3,6,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,3,6,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,3,6,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,4,1,3,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,4,1,3,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,4,1,3,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,4,1,3,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,1,3,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,4,1,5,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,4,1,5,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,1,5,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,1,6,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,4,1,6,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,4,1,6,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,+,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,4,-,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,4,+,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,4,+,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,4,-,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,-,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,+,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,-,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [2,4,+,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,4,-,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,+,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,4,-,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,4,+,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,-,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [2,4,+,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,-,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,4,+,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,4,-,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,4,+,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,4,-,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,4,+,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,4,-,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,4,5,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,4,5,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,5,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,5,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,4,5,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,5,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,5,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,4,5,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,4,6,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,4,6,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,6,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,4,6,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,4,6,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,4,6,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,4,6,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,5,1,3,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,5,1,3,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,1,3,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,1,+,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,5,1,-,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,5,1,+,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,1,-,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,5,1,+,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,1,-,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,5,1,6,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,5,1,6,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,5,+,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,5,-,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,+,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,-,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,+,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,-,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,+,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,5,-,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,+,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,5,+,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,-,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,5,-,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,+,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,5,-,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [2,5,+,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,5,-,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,+,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,5,-,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,5,+,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,5,-,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,5,+,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,5,-,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,5,4,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,4,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,4,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,4,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,4,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,4,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,5,4,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,5,4,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,5,6,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,6,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,6,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,6,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,6,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,6,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,5,6,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,5,6,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,1,3,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,1,3,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,1,3,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,6,1,+,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,1,-,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,1,+,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,1,-,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,1,+,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,6,1,-,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,6,1,5,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,1,5,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,+,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,-,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,+,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,-,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,+,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,6,-,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,6,+,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,-,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,+,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,-,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,+,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [2,6,-,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,+,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,+,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [2,6,-,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,-,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,6,+,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [2,6,-,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [2,6,+,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,-,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,+,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [2,6,-,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,4,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,4,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,4,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,6,4,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,4,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,4,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [2,6,4,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,4,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,5,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,5,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,5,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,5,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,5,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,5,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [2,6,5,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [2,6,5,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,1,2,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [3,1,2,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,1,2,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [3,1,2,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [3,1,2,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,1,2,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [3,1,2,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [3,1,2,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6) [3,1,2,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [3,1,2,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,1,2,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,1,2,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [3,1,2,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,1,2,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,1,2,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,1,2,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,1,4,2,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,1,4,2,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,4,2,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,4,2,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [3,1,4,2,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,4,5,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,4,5,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [3,1,4,5,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,1,4,6,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,4,6,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,4,6,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,1,5,2,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,1,5,2,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,5,2,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,5,+,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,1,5,-,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,5,+,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,5,-,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [3,1,5,+,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,5,-,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,1,5,6,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,5,6,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,6,2,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,1,6,2,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,1,6,2,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,6,+,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,1,6,-,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,6,+,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,1,6,-,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,6,+,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,1,6,-,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,1,6,5,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,1,6,5,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,+,1,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [3,-,1,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,+,1,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,+,1,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [3,+,1,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [3,-,1,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,-,1,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,-,1,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,+,1,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,+,1,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [3,+,1,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [3,-,1,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,-,1,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,-,1,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,+,1,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6) [3,-,1,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6) [3,+,1,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [3,-,1,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,+,1,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,-,1,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,+,1,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,-,1,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,+,1,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [3,-,1,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,+,1,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,-,1,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,+,1,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,-,1,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,+,1,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [3,-,1,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,+,1,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [3,-,1,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,+,4,1,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,-,4,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,+,4,1,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,+,4,1,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,4,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,-,4,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,4,1,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [3,-,4,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [3,+,4,1,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,4,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,4,5,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,4,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,+,4,5,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [3,-,4,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [3,+,4,5,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,-,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [3,+,4,6,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,4,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,+,4,6,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,4,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,+,4,6,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,-,4,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [3,+,5,1,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,-,5,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,+,5,1,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,5,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,5,1,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,5,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,5,+,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,-,5,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,+,5,-,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,+,5,+,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,5,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,-,5,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,5,-,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [3,-,5,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [3,+,5,+,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,5,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,5,-,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,-,5,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [3,+,5,6,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,5,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,+,5,6,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,5,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,+,6,1,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,-,6,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,+,6,1,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,-,6,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,+,6,1,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,6,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,6,+,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,-,6,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,+,6,-,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,6,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,+,6,+,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [3,-,6,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,+,6,-,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,+,6,+,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [3,-,6,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,-,6,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,+,6,-,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [3,-,6,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [3,+,6,5,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,6,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,+,6,5,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [3,-,6,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,4,1,2,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,4,1,2,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,4,1,2,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,4,1,2,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,1,2,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,4,1,5,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,4,1,5,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,1,5,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,1,6,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,4,1,6,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,4,1,6,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,2,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,4,2,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,4,2,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,4,2,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,2,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,4,2,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,4,2,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,2,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,2,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,4,2,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,4,2,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,4,5,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,4,5,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,4,5,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,4,5,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,4,5,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,4,5,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,4,5,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,4,6,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,4,6,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,4,6,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,4,6,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,4,6,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,4,6,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,4,6,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,4,6,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,5,1,2,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,5,1,2,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,1,2,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,1,+,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,5,1,-,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,5,1,+,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,1,-,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,5,1,+,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,1,-,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,5,1,6,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,5,1,6,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,5,2,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,5,2,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,2,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,2,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,5,2,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,5,2,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,2,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,5,2,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,5,2,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,5,2,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,5,2,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,5,4,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,4,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,5,4,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,5,4,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,4,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,5,4,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,5,4,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,5,4,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,5,6,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,6,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,6,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,6,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,6,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,6,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,5,6,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,5,6,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,6,1,2,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,1,2,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,1,2,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,6,1,+,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,1,-,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,1,+,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,1,-,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,1,+,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,6,1,-,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,6,1,5,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,1,5,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,2,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,2,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,2,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,6,2,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,2,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,2,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [3,6,2,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,2,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [3,6,2,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [3,6,2,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,2,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [3,6,4,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,4,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,4,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,6,4,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,4,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,4,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [3,6,4,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,6,4,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,6,5,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,5,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,5,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,5,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,5,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,5,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [3,6,5,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [3,6,5,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,1,2,3,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [4,1,2,3,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,1,2,3,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [4,1,2,3,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [4,1,2,3,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,1,2,5,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,1,2,5,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [4,1,2,5,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,1,2,6,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,1,2,6,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,1,2,6,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,1,+,2,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [4,1,-,2,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,1,+,2,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,1,+,2,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [4,1,-,2,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,-,2,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,+,2,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [4,1,-,2,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [4,1,+,2,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,1,-,2,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,+,5,2,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,1,-,5,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,1,+,5,2,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [4,1,-,5,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [4,1,+,5,6,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,1,-,5,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [4,1,+,6,2,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,1,-,6,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,1,+,6,+,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,1,-,6,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,1,+,6,-,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,1,-,6,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [4,1,5,2,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,1,5,2,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,5,2,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,5,3,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,1,5,3,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,5,3,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,5,6,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,1,5,6,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,1,6,2,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,1,6,2,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,1,6,2,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,6,3,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,1,6,3,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,1,6,3,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,1,6,5,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,1,6,5,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,+,1,3,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [4,-,1,3,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,+,1,3,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,+,1,3,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [4,-,1,3,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,-,1,3,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,+,1,3,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [4,-,1,3,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,1,3,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,-,1,3,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,+,1,5,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,-,1,5,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,+,1,5,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [4,-,1,5,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,1,5,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,-,1,5,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,1,6,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,-,1,6,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,+,1,6,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,-,1,6,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,+,1,6,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,-,1,6,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,+,1,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [4,-,+,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,+,-,1,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,+,+,1,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,+,+,1,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [4,-,-,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,-,+,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,-,+,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,+,-,1,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,+,-,1,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,+,+,1,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [4,-,-,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,-,-,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,-,+,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,-,1,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [4,-,-,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) [4,+,+,1,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [4,-,+,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,+,-,1,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,-,-,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,+,+,5,1,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,-,+,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,+,-,5,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,+,+,5,1,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [4,-,-,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,-,+,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,-,5,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [4,-,-,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [4,+,+,5,6,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,-,+,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,-,5,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [4,-,-,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [4,+,+,6,1,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,-,+,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,+,-,6,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,-,-,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,+,+,6,+,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [4,-,+,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,+,-,6,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,+,+,6,-,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [4,-,-,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,-,+,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,+,-,6,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [4,-,-,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [4,+,5,1,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,-,5,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,+,5,1,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,-,5,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,+,5,1,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,-,5,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,+,5,3,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,-,5,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,+,5,3,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,-,5,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,+,5,3,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,-,5,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,+,5,6,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,-,5,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,+,5,6,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,-,5,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,+,6,1,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,-,6,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,+,6,1,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,-,6,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,+,6,1,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,-,6,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,+,6,3,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,-,6,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,+,6,3,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [4,-,6,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,+,6,3,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [4,-,6,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,+,6,5,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,-,6,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,+,6,5,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [4,-,6,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,3,1,2,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,3,1,2,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,3,1,2,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,3,1,2,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,1,2,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,3,1,5,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,3,1,5,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,1,5,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,1,6,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,3,1,6,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,3,1,6,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,2,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,3,2,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,3,2,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,3,2,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,2,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,3,2,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,3,2,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,2,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,2,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,3,2,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,3,2,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [4,3,5,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,3,5,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,3,5,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,3,5,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,3,5,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,3,5,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,3,5,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,3,5,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,3,6,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,3,6,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,3,6,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,3,6,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,3,6,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,3,6,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,3,6,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,3,6,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,5,1,2,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,5,1,2,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,1,2,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,1,3,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,5,1,3,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,1,3,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,1,6,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,5,1,6,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,5,2,1,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,5,2,1,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,2,1,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,2,3,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,5,2,3,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,2,3,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,2,6,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,5,2,6,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,5,+,1,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,5,-,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,5,+,1,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,-,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,5,+,1,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,-,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,5,+,2,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,5,-,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,5,+,2,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,-,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,5,+,2,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,5,-,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,5,+,6,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,5,-,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,5,+,6,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,5,-,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,5,6,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,5,6,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,5,6,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,5,6,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,5,6,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,1,2,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,1,2,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,1,2,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,6,1,3,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,1,3,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,1,3,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,6,1,5,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,6,1,5,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,6,2,1,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,2,1,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,2,1,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,6,2,3,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,2,3,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,2,3,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,6,2,5,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,6,2,5,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,6,+,1,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,-,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,+,1,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,-,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,+,1,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,6,-,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,6,+,2,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,-,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,+,2,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [4,6,-,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,+,2,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [4,6,-,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [4,6,+,5,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,6,-,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,6,+,5,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [4,6,-,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [4,6,5,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,5,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,5,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,5,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,5,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [4,6,5,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,1,2,3,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,1,2,3,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,1,2,3,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,1,2,+,3,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,1,2,-,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,1,2,+,3,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,1,2,-,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [5,1,2,+,6,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,1,2,-,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [5,1,2,6,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,1,2,6,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,1,+,2,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,1,-,2,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,+,2,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,1,-,2,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,+,2,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,1,-,2,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,+,+,2,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,1,-,+,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,+,-,2,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,1,+,+,2,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,1,-,-,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,1,-,+,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,+,-,2,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [5,1,-,-,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [5,1,+,+,6,2]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,1,-,+,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,+,-,6,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [5,1,-,-,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [5,1,+,6,2,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,1,-,6,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,1,+,6,4,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,1,-,6,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,1,4,2,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,4,2,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,4,2,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,4,3,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,4,3,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,4,3,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,1,4,6,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,1,4,6,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,1,6,2,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,6,2,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,6,3,2,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,6,3,4,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,6,+,2,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,6,-,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,1,6,+,3,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,1,6,-,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,+,1,3,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,-,1,3,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,+,1,3,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,-,1,3,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,1,3,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,-,1,3,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,1,+,3,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,-,1,+,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,+,1,-,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,+,1,+,3,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,-,1,-,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,-,1,+,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,1,-,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [5,-,1,-,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,+,1,+,6,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,-,1,+,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,1,-,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [5,-,1,-,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,+,1,6,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,-,1,6,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,+,1,6,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,-,1,6,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,+,+,1,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,-,+,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,+,-,1,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,+,+,1,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,-,-,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,-,+,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,-,1,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,-,-,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,+,+,1,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,-,+,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,-,1,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,-,-,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,+,+,+,1,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [5,-,+,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,+,-,+,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,+,+,-,1,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,+,+,+,1,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [5,-,-,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,-,+,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,-,+,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,-,-,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,+,-,+,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,+,+,-,1,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) [5,-,-,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,-,-,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,-,+,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,+,-,-,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) [5,-,-,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) [5,+,+,+,6,1]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [5,-,+,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,+,-,+,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,+,+,-,6,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [5,-,-,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,-,+,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,+,-,-,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [5,-,-,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [5,+,+,6,1,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,-,+,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,+,-,6,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,-,-,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,+,+,6,4,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [5,-,+,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,+,-,6,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,-,-,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,+,4,1,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,4,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,4,1,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,-,4,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,+,4,1,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,-,4,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,+,4,3,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,4,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,4,3,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,-,4,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,+,4,3,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [5,-,4,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,+,4,6,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,-,4,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,+,4,6,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,-,4,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,+,6,1,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,6,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,6,1,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,6,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,6,3,1,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,6,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,6,3,4,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,6,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,6,+,1,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,6,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,6,-,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,-,6,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,+,6,+,3,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [5,-,6,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,+,6,-,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [5,-,6,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,3,1,2,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,3,1,2,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,1,2,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,1,+,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,3,1,-,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,3,1,+,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,1,-,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,3,1,+,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,1,-,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,3,1,6,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,3,1,6,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,3,2,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,3,2,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,2,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,2,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,3,2,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,3,2,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,2,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,3,2,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,3,2,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [5,3,2,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,3,2,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,3,4,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,4,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,3,4,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,3,4,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,4,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,3,4,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,3,4,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,3,4,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,3,6,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,6,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,6,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,6,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,6,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,6,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,3,6,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,3,6,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,4,1,2,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,4,1,2,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,1,2,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,1,3,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,4,1,3,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,1,3,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,1,6,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,4,1,6,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,4,2,1,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,4,2,1,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,2,1,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,2,3,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,4,2,3,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,2,3,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,2,6,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,4,2,6,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,4,+,1,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,4,-,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,4,+,1,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,-,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,4,+,1,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,-,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,4,+,2,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,4,-,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,4,+,2,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,-,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,4,+,2,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [5,4,-,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [5,4,+,6,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,4,-,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,4,+,6,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,4,-,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,4,6,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,4,6,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,4,6,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,4,6,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,4,6,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,4,6,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,1,2,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,1,3,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,1,3,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,1,+,2,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,1,-,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,6,1,+,3,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,1,-,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,6,2,1,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,2,1,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,2,3,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,2,3,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,2,+,1,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,2,-,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,6,2,+,3,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,2,-,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,6,+,1,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,-,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,+,1,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,-,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,+,2,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,-,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,+,2,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,-,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,+,+,1,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,-,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,+,-,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,6,-,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,6,+,+,2,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [5,6,-,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,+,-,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [5,6,-,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [5,6,4,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,4,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,4,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,4,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,4,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [5,6,4,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,2,3,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,2,3,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,1,2,+,3,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,2,-,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,2,+,+,3]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,2,-,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,2,+,-,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,1,2,-,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [6,1,2,5,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,2,5,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,+,2,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,-,2,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,+,2,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,-,2,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,+,2,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,1,-,2,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,1,+,+,2,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,-,+,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,+,-,2,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,-,-,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,1,+,+,+,2]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,1,-,+,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,+,-,+,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,+,+,-,2]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,1,-,-,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,1,-,+,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,1,+,-,-,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [6,1,-,-,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [6,1,+,5,2,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,-,5,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,1,+,5,4,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,1,-,5,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,1,4,2,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,4,2,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,4,2,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,1,4,3,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,4,3,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,4,3,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,1,4,5,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,1,4,5,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,1,5,2,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,5,2,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,5,3,2,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,5,3,4,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,5,+,2,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,5,-,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,1,5,+,3,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,1,5,-,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,+,1,3,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,1,3,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,1,3,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,1,3,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,1,3,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,-,1,3,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,+,1,+,3,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,1,+,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,1,-,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,-,1,-,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,+,1,+,+,3]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,1,+,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,1,-,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,+,1,+,-,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,-,1,-,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,-,1,+,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,+,1,-,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [6,-,1,-,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [6,+,1,5,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,-,1,5,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,+,1,5,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,-,1,5,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,+,+,1,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,+,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,-,1,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,-,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,+,1,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,+,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,-,1,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,+,+,1,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,-,-,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,-,+,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,+,-,1,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,-,-,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,+,+,+,1,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,+,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,-,+,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,+,+,-,1,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,-,-,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,-,+,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,+,-,-,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,-,-,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,+,+,+,+,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) [6,-,+,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,+,-,+,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,+,+,-,+,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,+,+,+,-,1]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6) [6,-,-,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,-,+,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,-,+,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,+,-,-,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,+,-,+,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,+,+,-,-,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6) [6,-,-,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,-,-,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,-,+,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [6,+,-,-,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6) [6,-,-,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6) [6,+,+,5,1,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,-,+,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,+,-,5,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,-,-,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,+,+,5,4,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) [6,-,+,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,+,-,5,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,-,-,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,+,4,1,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,4,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,4,1,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,4,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,4,1,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,-,4,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,+,4,3,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,4,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,4,3,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,4,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,4,3,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [6,-,4,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,+,4,5,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,-,4,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,+,4,5,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,-,4,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,+,5,1,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,5,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,5,1,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,5,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,5,3,1,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,5,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,5,3,4,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,5,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,5,+,1,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,5,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,5,-,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,-,5,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,+,5,+,3,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) [6,-,5,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,+,5,-,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6) [6,-,5,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,3,1,2,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,1,2,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,1,2,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,3,1,+,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,1,-,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,1,+,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,1,-,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,1,+,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,3,1,-,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [6,3,1,5,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,1,5,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,2,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,2,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,2,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,3,2,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,2,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,2,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,3,2,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,2,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,3,2,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) [6,3,2,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,2,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,3,4,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,4,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,4,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,3,4,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,4,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,4,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,3,4,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,3,4,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,3,5,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,5,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,5,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,5,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,5,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,5,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,3,5,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,3,5,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,4,1,2,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,1,2,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,1,2,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,4,1,3,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,1,3,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,1,3,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,4,1,5,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,4,1,5,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,4,2,1,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,2,1,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,2,1,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,4,2,3,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,2,3,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,2,3,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,4,2,5,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,4,2,5,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,4,+,1,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,-,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,+,1,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,-,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,+,1,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,4,-,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,4,+,2,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,-,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,+,2,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,4,-,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,+,2,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) [6,4,-,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) [6,4,+,5,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,4,-,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,4,+,5,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,4,-,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,4,5,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,5,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,5,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,5,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,5,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,4,5,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,1,2,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,1,2,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,1,3,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,1,3,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,1,+,2,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,1,-,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,5,1,+,3,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,1,-,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,5,2,1,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,2,1,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,2,3,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,2,3,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,2,+,1,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,2,-,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,5,2,+,3,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,2,-,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,5,+,1,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,-,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,+,1,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,-,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,+,2,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,-,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,+,2,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,-,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,+,+,1,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,-,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,+,-,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,5,-,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,5,+,+,2,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6) [6,5,-,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,+,-,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [6,5,-,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6) [6,5,4,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,4,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,4,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,4,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,4,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6) [6,5,4,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6)
Map
upper permutation
Description
The upper bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
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
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maximima 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 deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$