Identifier
Mp00119: to 321-avoiding permutation (Krattenthaler)Permutations
Mp00069: Permutations complementPermutations
Mp00149: Permutations Lehmer code rotationPermutations
Mp00062: Permutations Lehmer-code to major-code bijectionPermutations
Images
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>[1]=>[1]=>[1] [1,0,1,0]=>[1,2]=>[2,1]=>[1,2]=>[1,2] [1,1,0,0]=>[2,1]=>[1,2]=>[2,1]=>[2,1] [1,0,1,0,1,0]=>[1,2,3]=>[3,2,1]=>[1,2,3]=>[1,2,3] [1,0,1,1,0,0]=>[1,3,2]=>[3,1,2]=>[1,3,2]=>[3,1,2] [1,1,0,0,1,0]=>[2,1,3]=>[2,3,1]=>[3,1,2]=>[2,3,1] [1,1,0,1,0,0]=>[2,3,1]=>[2,1,3]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,0]=>[3,1,2]=>[1,3,2]=>[2,1,3]=>[2,1,3] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[4,3,1,2]=>[1,2,4,3]=>[4,1,2,3] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[4,2,3,1]=>[1,4,2,3]=>[3,4,1,2] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[4,2,1,3]=>[1,4,3,2]=>[4,3,1,2] [1,0,1,1,1,0,0,0]=>[1,4,2,3]=>[4,1,3,2]=>[1,3,2,4]=>[3,1,2,4] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[3,4,2,1]=>[4,1,2,3]=>[2,3,4,1] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[3,4,1,2]=>[4,1,3,2]=>[4,2,3,1] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,2,4,1]=>[4,3,1,2]=>[3,4,2,1] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[3,2,1,4]=>[4,3,2,1]=>[4,3,2,1] [1,1,0,1,1,0,0,0]=>[2,4,1,3]=>[3,1,4,2]=>[4,2,1,3]=>[3,2,4,1] [1,1,1,0,0,0,1,0]=>[3,1,2,4]=>[2,4,3,1]=>[3,1,2,4]=>[2,3,1,4] [1,1,1,0,0,1,0,0]=>[3,1,4,2]=>[2,4,1,3]=>[3,1,4,2]=>[4,2,1,3] [1,1,1,0,1,0,0,0]=>[3,4,1,2]=>[2,1,4,3]=>[3,2,1,4]=>[3,2,1,4] [1,1,1,1,0,0,0,0]=>[4,1,2,3]=>[1,4,3,2]=>[2,1,3,4]=>[2,1,3,4] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[5,1,2,3,4] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[1,2,5,3,4]=>[4,5,1,2,3] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[5,4,2,1,3]=>[1,2,5,4,3]=>[5,4,1,2,3] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,3,4]=>[5,4,1,3,2]=>[1,2,4,3,5]=>[4,1,2,3,5] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[1,5,2,3,4]=>[3,4,5,1,2] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[1,5,2,4,3]=>[5,3,4,1,2] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[5,3,2,4,1]=>[1,5,4,2,3]=>[4,5,3,1,2] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[5,3,2,1,4]=>[1,5,4,3,2]=>[5,4,3,1,2] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[5,3,1,4,2]=>[1,5,3,2,4]=>[4,3,5,1,2] [1,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,5]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[3,4,1,2,5] [1,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3]=>[5,2,4,1,3]=>[1,4,2,5,3]=>[5,3,1,2,4] [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,2,3]=>[5,2,1,4,3]=>[1,4,3,2,5]=>[4,3,1,2,5] [1,0,1,1,1,1,0,0,0,0]=>[1,5,2,3,4]=>[5,1,4,3,2]=>[1,3,2,4,5]=>[3,1,2,4,5] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[5,1,2,3,4]=>[2,3,4,5,1] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[5,1,2,4,3]=>[5,2,3,4,1] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[4,5,2,3,1]=>[5,1,4,2,3]=>[4,5,2,3,1] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[4,5,2,1,3]=>[5,1,4,3,2]=>[5,4,2,3,1] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,3,4]=>[4,5,1,3,2]=>[5,1,3,2,4]=>[4,2,3,5,1] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[4,3,5,2,1]=>[5,4,1,2,3]=>[3,4,5,2,1] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[4,3,5,1,2]=>[5,4,1,3,2]=>[5,3,4,2,1] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[4,3,2,5,1]=>[5,4,3,1,2]=>[4,5,3,2,1] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[4,3,2,1,5]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,3,1,5,2]=>[5,4,2,1,3]=>[4,3,5,2,1] [1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,5]=>[4,2,5,3,1]=>[5,3,1,2,4]=>[3,4,2,5,1] [1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[5,3,1,4,2]=>[5,3,2,4,1] [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,3]=>[4,2,1,5,3]=>[5,3,2,1,4]=>[4,3,2,5,1] [1,1,0,1,1,1,0,0,0,0]=>[2,5,1,3,4]=>[4,1,5,3,2]=>[5,2,1,3,4]=>[3,2,4,5,1] [1,1,1,0,0,0,1,0,1,0]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[4,1,2,3,5]=>[2,3,4,1,5] [1,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[4,1,2,5,3]=>[5,2,3,1,4] [1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,5]=>[3,5,2,4,1]=>[4,1,5,2,3]=>[4,5,2,1,3] [1,1,1,0,0,1,0,1,0,0]=>[3,1,4,5,2]=>[3,5,2,1,4]=>[4,1,5,3,2]=>[5,4,2,1,3] [1,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4]=>[3,5,1,4,2]=>[4,1,3,2,5]=>[4,2,3,1,5] [1,1,1,0,1,0,0,0,1,0]=>[3,4,1,2,5]=>[3,2,5,4,1]=>[4,3,1,2,5]=>[3,4,2,1,5] [1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,2]=>[3,2,5,1,4]=>[4,3,1,5,2]=>[5,3,2,1,4] [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,2]=>[3,2,1,5,4]=>[4,3,2,1,5]=>[4,3,2,1,5] [1,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4]=>[3,1,5,4,2]=>[4,2,1,3,5]=>[3,2,4,1,5] [1,1,1,1,0,0,0,0,1,0]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[3,1,2,4,5]=>[2,3,1,4,5] [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,3]=>[2,5,4,1,3]=>[3,1,2,5,4]=>[5,2,1,3,4] [1,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,3]=>[2,5,1,4,3]=>[3,1,4,2,5]=>[4,2,1,3,5] [1,1,1,1,0,1,0,0,0,0]=>[4,5,1,2,3]=>[2,1,5,4,3]=>[3,2,1,4,5]=>[3,2,1,4,5] [1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[2,1,3,4,5]=>[2,1,3,4,5] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[6,1,2,3,4,5] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[1,2,3,6,4,5]=>[5,6,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[1,2,3,6,5,4]=>[6,5,1,2,3,4] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[1,2,3,5,4,6]=>[5,1,2,3,4,6] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,2,6,3,4,5]=>[4,5,6,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[1,2,6,3,5,4]=>[6,4,5,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[1,2,6,5,3,4]=>[5,6,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[1,2,6,5,4,3]=>[6,5,4,1,2,3] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[1,2,6,4,3,5]=>[5,4,6,1,2,3] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[4,5,1,2,3,6] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[6,4,1,2,3,5] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[1,2,5,4,3,6]=>[5,4,1,2,3,6] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[1,2,4,3,5,6]=>[4,1,2,3,5,6] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[1,6,2,3,4,5]=>[3,4,5,6,1,2] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[1,6,2,3,5,4]=>[6,3,4,5,1,2] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,6,2,5,3,4]=>[5,6,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[1,6,2,5,4,3]=>[6,5,3,4,1,2] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[5,3,4,6,1,2] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[1,6,5,2,3,4]=>[4,5,6,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[1,6,5,2,4,3]=>[6,4,5,3,1,2] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[1,6,5,4,2,3]=>[5,6,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[1,6,5,4,3,2]=>[6,5,4,3,1,2] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[1,6,5,3,2,4]=>[5,4,6,3,1,2] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,6,4,2,3,5]=>[4,5,3,6,1,2] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[1,6,4,2,5,3]=>[6,4,3,5,1,2] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[1,6,4,3,2,5]=>[5,4,3,6,1,2] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[1,6,3,2,4,5]=>[4,3,5,6,1,2] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[1,5,2,3,4,6]=>[3,4,5,1,2,6] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[1,5,2,3,6,4]=>[6,3,4,1,2,5] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,5,2,6,3,4]=>[5,6,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[1,5,2,6,4,3]=>[6,5,3,1,2,4] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[1,5,2,4,3,6]=>[5,3,4,1,2,6] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,5,4,2,3,6]=>[4,5,3,1,2,6] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[1,5,4,2,6,3]=>[6,4,3,1,2,5] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[1,5,4,3,2,6]=>[5,4,3,1,2,6] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[1,5,3,2,4,6]=>[4,3,5,1,2,6] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[1,4,2,3,5,6]=>[3,4,1,2,5,6] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[1,4,2,3,6,5]=>[6,3,1,2,4,5] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[5,3,1,2,4,6] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[1,4,3,2,5,6]=>[4,3,1,2,5,6] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[1,3,2,4,5,6]=>[3,1,2,4,5,6] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[6,1,2,3,5,4]=>[6,2,3,4,5,1] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[6,1,2,5,3,4]=>[5,6,2,3,4,1] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[6,1,2,5,4,3]=>[6,5,2,3,4,1] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[6,1,2,4,3,5]=>[5,2,3,4,6,1] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[6,1,5,2,3,4]=>[4,5,6,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[6,1,5,2,4,3]=>[6,4,5,2,3,1] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[6,1,5,4,2,3]=>[5,6,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[6,1,5,4,3,2]=>[6,5,4,2,3,1] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[6,1,5,3,2,4]=>[5,4,6,2,3,1] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[6,1,4,2,3,5]=>[4,5,2,3,6,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[6,1,4,2,5,3]=>[6,4,2,3,5,1] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[6,1,4,3,2,5]=>[5,4,2,3,6,1] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[6,1,3,2,4,5]=>[4,2,3,5,6,1] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[6,5,1,2,4,3]=>[6,3,4,5,2,1] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[6,5,1,4,2,3]=>[5,6,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[6,5,1,4,3,2]=>[6,5,3,4,2,1] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[6,5,1,3,2,4]=>[5,3,4,6,2,1] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[6,5,4,1,3,2]=>[6,4,5,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[6,5,3,1,4,2]=>[6,4,3,5,2,1] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[6,4,1,2,5,3]=>[6,3,4,2,5,1] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[6,4,1,5,2,3]=>[5,6,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[6,4,1,5,3,2]=>[6,5,3,2,4,1] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[6,4,1,3,2,5]=>[5,3,4,2,6,1] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[6,4,3,1,5,2]=>[6,4,3,2,5,1] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[6,3,1,2,5,4]=>[6,3,2,4,5,1] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[6,3,1,4,2,5]=>[5,3,2,4,6,1] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[5,1,2,3,6,4]=>[6,2,3,4,1,5] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[5,1,2,6,3,4]=>[5,6,2,3,1,4] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[5,1,2,6,4,3]=>[6,5,2,3,1,4] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[5,1,2,4,3,6]=>[5,2,3,4,1,6] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[5,1,6,2,3,4]=>[4,5,6,2,1,3] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[5,1,6,2,4,3]=>[6,4,5,2,1,3] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[5,1,6,4,2,3]=>[5,6,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[5,1,6,4,3,2]=>[6,5,4,2,1,3] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[5,1,6,3,2,4]=>[5,4,6,2,1,3] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[5,1,4,2,3,6]=>[4,5,2,3,1,6] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[5,1,4,2,6,3]=>[6,4,2,3,1,5] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[5,1,4,3,2,6]=>[5,4,2,3,1,6] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[5,1,3,2,4,6]=>[4,2,3,5,1,6] [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6] [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[5,4,1,2,6,3]=>[6,3,4,2,1,5] [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[5,4,1,6,2,3]=>[5,6,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[5,4,1,6,3,2]=>[6,5,3,2,1,4] [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[5,4,1,3,2,6]=>[5,3,4,2,1,6] [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6] [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[5,4,3,1,6,2]=>[6,4,3,2,1,5] [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6] [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6] [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[5,3,1,2,6,4]=>[6,3,2,4,1,5] [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[5,3,1,4,2,6]=>[5,3,2,4,1,6] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6] [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[6,2,3,1,4,5] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[4,1,2,6,3,5]=>[5,6,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[4,1,2,6,5,3]=>[6,5,2,1,3,4] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[4,1,2,5,3,6]=>[5,2,3,1,4,6] [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[4,5,2,1,3,6] [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[6,4,2,1,3,5] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[4,1,5,3,2,6]=>[5,4,2,1,3,6] [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[4,1,3,2,5,6]=>[4,2,3,1,5,6] [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6] [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[4,3,1,2,6,5]=>[6,3,2,1,4,5] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[4,3,1,5,2,6]=>[5,3,2,1,4,6] [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[3,1,2,4,6,5]=>[6,2,1,3,4,5] [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[3,1,2,5,4,6]=>[5,2,1,3,4,6] [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[3,1,4,2,5,6]=>[4,2,1,3,5,6] [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[1,2,3,4,7,5,6]=>[6,7,1,2,3,4,5] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[1,2,3,7,4,5,6]=>[5,6,7,1,2,3,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[1,2,3,7,4,6,5]=>[7,5,6,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[1,2,3,7,6,4,5]=>[6,7,5,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[1,2,3,7,5,4,6]=>[6,5,7,1,2,3,4] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[5,6,1,2,3,4,7] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[7,5,1,2,3,4,6] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[1,2,7,3,4,5,6]=>[4,5,6,7,1,2,3] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[1,2,7,3,4,6,5]=>[7,4,5,6,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[1,2,7,3,6,4,5]=>[6,7,4,5,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[1,2,7,3,6,5,4]=>[7,6,4,5,1,2,3] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[1,2,7,3,5,4,6]=>[6,4,5,7,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[1,2,7,6,3,4,5]=>[5,6,7,4,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[1,2,7,6,3,5,4]=>[7,5,6,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[1,2,7,6,5,3,4]=>[6,7,5,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[1,2,7,6,4,3,5]=>[6,5,7,4,1,2,3] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[1,2,7,5,3,4,6]=>[5,6,4,7,1,2,3] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[1,2,7,5,3,6,4]=>[7,5,4,6,1,2,3] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[1,2,7,5,4,3,6]=>[6,5,4,7,1,2,3] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[1,2,7,4,3,5,6]=>[5,4,6,7,1,2,3] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[1,2,6,3,4,5,7]=>[4,5,6,1,2,3,7] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[1,2,6,3,4,7,5]=>[7,4,5,1,2,3,6] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[1,2,6,3,7,4,5]=>[6,7,4,1,2,3,5] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[1,2,6,3,7,5,4]=>[7,6,4,1,2,3,5] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[1,2,6,3,5,4,7]=>[6,4,5,1,2,3,7] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[1,2,6,5,3,4,7]=>[5,6,4,1,2,3,7] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[1,2,6,5,3,7,4]=>[7,5,4,1,2,3,6] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[1,2,6,4,3,5,7]=>[5,4,6,1,2,3,7] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[4,5,1,2,3,6,7] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[1,2,5,3,4,7,6]=>[7,4,1,2,3,5,6] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[1,2,5,3,6,4,7]=>[6,4,1,2,3,5,7] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,1,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[1,7,2,3,4,6,5]=>[7,3,4,5,6,1,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,7,2,3,6,4,5]=>[6,7,3,4,5,1,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[1,7,2,3,6,5,4]=>[7,6,3,4,5,1,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[1,7,2,3,5,4,6]=>[6,3,4,5,7,1,2] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[1,7,2,6,3,4,5]=>[5,6,7,3,4,1,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[1,7,2,6,3,5,4]=>[7,5,6,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[1,7,2,6,5,3,4]=>[6,7,5,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[1,7,2,6,5,4,3]=>[7,6,5,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[1,7,2,6,4,3,5]=>[6,5,7,3,4,1,2] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[1,7,2,5,3,4,6]=>[5,6,3,4,7,1,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[1,7,2,5,3,6,4]=>[7,5,3,4,6,1,2] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[1,7,2,5,4,3,6]=>[6,5,3,4,7,1,2] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[1,7,2,4,3,5,6]=>[5,3,4,6,7,1,2] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,1,2] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[1,7,6,2,3,5,4]=>[7,4,5,6,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[1,7,6,2,5,3,4]=>[6,7,4,5,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[1,7,6,2,5,4,3]=>[7,6,4,5,3,1,2] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[1,7,6,2,4,3,5]=>[6,4,5,7,3,1,2] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,1,2] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[1,7,6,5,2,4,3]=>[7,5,6,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[1,7,6,5,4,2,3]=>[6,7,5,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[1,7,6,5,3,2,4]=>[6,5,7,4,3,1,2] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,1,2] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[1,7,6,4,2,5,3]=>[7,5,4,6,3,1,2] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[1,7,6,4,3,2,5]=>[6,5,4,7,3,1,2] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,1,2] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,1,2] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[1,7,5,2,3,6,4]=>[7,4,5,3,6,1,2] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[1,7,5,2,6,3,4]=>[6,7,4,3,5,1,2] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[1,7,5,2,6,4,3]=>[7,6,4,3,5,1,2] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[1,7,5,2,4,3,6]=>[6,4,5,3,7,1,2] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,1,2] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[1,7,5,4,2,6,3]=>[7,5,4,3,6,1,2] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[1,7,5,4,3,2,6]=>[6,5,4,3,7,1,2] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,1,2] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,1,2] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[1,7,4,2,3,6,5]=>[7,4,3,5,6,1,2] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[1,7,4,2,5,3,6]=>[6,4,3,5,7,1,2] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,1,2] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,1,2] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[1,6,2,3,4,5,7]=>[3,4,5,6,1,2,7] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[1,6,2,3,4,7,5]=>[7,3,4,5,1,2,6] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[1,6,2,3,7,4,5]=>[6,7,3,4,1,2,5] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[1,6,2,3,7,5,4]=>[7,6,3,4,1,2,5] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[1,6,2,3,5,4,7]=>[6,3,4,5,1,2,7] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[1,6,2,7,3,4,5]=>[5,6,7,3,1,2,4] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[1,6,2,7,3,5,4]=>[7,5,6,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[1,6,2,7,5,3,4]=>[6,7,5,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[1,6,2,7,5,4,3]=>[7,6,5,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[1,6,2,7,4,3,5]=>[6,5,7,3,1,2,4] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[1,6,2,5,3,4,7]=>[5,6,3,4,1,2,7] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[1,6,2,5,3,7,4]=>[7,5,3,4,1,2,6] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[1,6,2,5,4,3,7]=>[6,5,3,4,1,2,7] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[1,6,2,4,3,5,7]=>[5,3,4,6,1,2,7] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[1,6,5,2,3,4,7]=>[4,5,6,3,1,2,7] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[1,6,5,2,3,7,4]=>[7,4,5,3,1,2,6] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[1,6,5,2,7,3,4]=>[6,7,4,3,1,2,5] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[1,6,5,2,7,4,3]=>[7,6,4,3,1,2,5] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[1,6,5,2,4,3,7]=>[6,4,5,3,1,2,7] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[1,6,5,4,2,3,7]=>[5,6,4,3,1,2,7] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[1,6,5,4,2,7,3]=>[7,5,4,3,1,2,6] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[1,6,5,3,2,4,7]=>[5,4,6,3,1,2,7] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[1,6,4,2,3,5,7]=>[4,5,3,6,1,2,7] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[1,6,4,2,3,7,5]=>[7,4,3,5,1,2,6] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[1,6,4,2,5,3,7]=>[6,4,3,5,1,2,7] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[1,6,4,3,2,5,7]=>[5,4,3,6,1,2,7] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[1,6,3,2,4,5,7]=>[4,3,5,6,1,2,7] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>[3,4,5,1,2,6,7] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>[7,3,4,1,2,5,6] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[1,5,2,3,7,4,6]=>[6,7,3,1,2,4,5] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[1,5,2,3,7,6,4]=>[7,6,3,1,2,4,5] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[1,5,2,3,6,4,7]=>[6,3,4,1,2,5,7] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>[5,6,3,1,2,4,7] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[7,5,3,1,2,4,6] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[1,5,2,6,4,3,7]=>[6,5,3,1,2,4,7] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[1,5,2,4,3,6,7]=>[5,3,4,1,2,6,7] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[1,5,4,2,3,6,7]=>[4,5,3,1,2,6,7] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[1,5,4,2,3,7,6]=>[7,4,3,1,2,5,6] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[1,5,4,2,6,3,7]=>[6,4,3,1,2,5,7] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[1,5,3,2,4,6,7]=>[4,3,5,1,2,6,7] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[1,4,2,3,5,6,7]=>[3,4,1,2,5,6,7] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[1,4,2,3,5,7,6]=>[7,3,1,2,4,5,6] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[1,4,2,3,6,5,7]=>[6,3,1,2,4,5,7] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[1,4,2,5,3,6,7]=>[5,3,1,2,4,6,7] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[7,1,2,3,4,6,5]=>[7,2,3,4,5,6,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[7,1,2,3,6,4,5]=>[6,7,2,3,4,5,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[7,1,2,3,6,5,4]=>[7,6,2,3,4,5,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[7,1,2,3,5,4,6]=>[6,2,3,4,5,7,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[7,1,2,6,3,4,5]=>[5,6,7,2,3,4,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[7,1,2,6,3,5,4]=>[7,5,6,2,3,4,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[7,1,2,6,5,3,4]=>[6,7,5,2,3,4,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[7,1,2,6,5,4,3]=>[7,6,5,2,3,4,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[7,1,2,6,4,3,5]=>[6,5,7,2,3,4,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[7,1,2,5,3,4,6]=>[5,6,2,3,4,7,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[7,1,2,5,3,6,4]=>[7,5,2,3,4,6,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[7,1,2,5,4,3,6]=>[6,5,2,3,4,7,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[7,1,2,4,3,5,6]=>[5,2,3,4,6,7,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[7,1,6,2,3,4,5]=>[4,5,6,7,2,3,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[7,1,6,2,3,5,4]=>[7,4,5,6,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[7,1,6,2,5,3,4]=>[6,7,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[7,1,6,2,5,4,3]=>[7,6,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[7,1,6,2,4,3,5]=>[6,4,5,7,2,3,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[7,1,6,5,2,3,4]=>[5,6,7,4,2,3,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[7,1,6,5,2,4,3]=>[7,5,6,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[7,1,6,5,4,2,3]=>[6,7,5,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[7,1,6,5,3,2,4]=>[6,5,7,4,2,3,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[7,1,6,4,2,3,5]=>[5,6,4,7,2,3,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[7,1,6,4,2,5,3]=>[7,5,4,6,2,3,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[7,1,6,4,3,2,5]=>[6,5,4,7,2,3,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[7,1,6,3,2,4,5]=>[5,4,6,7,2,3,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[7,1,5,2,3,4,6]=>[4,5,6,2,3,7,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[7,1,5,2,3,6,4]=>[7,4,5,2,3,6,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[7,1,5,2,6,3,4]=>[6,7,4,2,3,5,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[7,1,5,2,6,4,3]=>[7,6,4,2,3,5,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[7,1,5,2,4,3,6]=>[6,4,5,2,3,7,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[7,1,5,4,2,3,6]=>[5,6,4,2,3,7,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[7,1,5,4,2,6,3]=>[7,5,4,2,3,6,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[7,1,5,4,3,2,6]=>[6,5,4,2,3,7,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[7,1,5,3,2,4,6]=>[5,4,6,2,3,7,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[7,1,4,2,3,5,6]=>[4,5,2,3,6,7,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[7,1,4,2,3,6,5]=>[7,4,2,3,5,6,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[7,1,4,2,5,3,6]=>[6,4,2,3,5,7,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[7,1,4,3,2,5,6]=>[5,4,2,3,6,7,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[7,1,3,2,4,5,6]=>[4,2,3,5,6,7,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[7,6,1,2,3,5,4]=>[7,3,4,5,6,2,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[7,6,1,2,5,3,4]=>[6,7,3,4,5,2,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[7,6,1,2,5,4,3]=>[7,6,3,4,5,2,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[7,6,1,2,4,3,5]=>[6,3,4,5,7,2,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[7,6,1,5,2,3,4]=>[5,6,7,3,4,2,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[7,6,1,5,2,4,3]=>[7,5,6,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[7,6,1,5,4,2,3]=>[6,7,5,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[7,6,1,5,4,3,2]=>[7,6,5,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[7,6,1,5,3,2,4]=>[6,5,7,3,4,2,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[7,6,1,4,2,3,5]=>[5,6,3,4,7,2,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[7,6,1,4,2,5,3]=>[7,5,3,4,6,2,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[7,6,1,4,3,2,5]=>[6,5,3,4,7,2,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[7,6,1,3,2,4,5]=>[5,3,4,6,7,2,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[7,6,5,1,2,4,3]=>[7,4,5,6,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[7,6,5,1,4,2,3]=>[6,7,4,5,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[7,6,5,1,4,3,2]=>[7,6,4,5,3,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[7,6,5,1,3,2,4]=>[6,4,5,7,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[7,6,5,4,1,3,2]=>[7,5,6,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[7,6,5,3,1,4,2]=>[7,5,4,6,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[7,6,4,1,2,5,3]=>[7,4,5,3,6,2,1] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[7,6,4,1,5,2,3]=>[6,7,4,3,5,2,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[7,6,4,1,5,3,2]=>[7,6,4,3,5,2,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[7,6,4,1,3,2,5]=>[6,4,5,3,7,2,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[7,6,4,3,1,5,2]=>[7,5,4,3,6,2,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[7,6,3,1,2,5,4]=>[7,4,3,5,6,2,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[7,6,3,1,4,2,5]=>[6,4,3,5,7,2,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[7,5,1,2,3,6,4]=>[7,3,4,5,2,6,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[7,5,1,2,6,3,4]=>[6,7,3,4,2,5,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[7,5,1,2,6,4,3]=>[7,6,3,4,2,5,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[7,5,1,2,4,3,6]=>[6,3,4,5,2,7,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[7,5,1,6,2,3,4]=>[5,6,7,3,2,4,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[7,5,1,6,2,4,3]=>[7,5,6,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[7,5,1,6,4,2,3]=>[6,7,5,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[7,5,1,6,4,3,2]=>[7,6,5,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[7,5,1,6,3,2,4]=>[6,5,7,3,2,4,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[7,5,1,4,2,3,6]=>[5,6,3,4,2,7,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[7,5,1,4,2,6,3]=>[7,5,3,4,2,6,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[7,5,1,4,3,2,6]=>[6,5,3,4,2,7,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[7,5,1,3,2,4,6]=>[5,3,4,6,2,7,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[7,5,4,1,2,6,3]=>[7,4,5,3,2,6,1] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[7,5,4,1,6,2,3]=>[6,7,4,3,2,5,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[7,5,4,1,6,3,2]=>[7,6,4,3,2,5,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[7,5,4,1,3,2,6]=>[6,4,5,3,2,7,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[7,5,4,3,1,6,2]=>[7,5,4,3,2,6,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[7,5,3,1,2,6,4]=>[7,4,3,5,2,6,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[7,5,3,1,4,2,6]=>[6,4,3,5,2,7,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[7,4,1,2,3,6,5]=>[7,3,4,2,5,6,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[7,4,1,2,6,3,5]=>[6,7,3,2,4,5,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[7,4,1,2,6,5,3]=>[7,6,3,2,4,5,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[7,4,1,2,5,3,6]=>[6,3,4,2,5,7,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[7,4,1,5,2,3,6]=>[5,6,3,2,4,7,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[7,4,1,5,2,6,3]=>[7,5,3,2,4,6,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[7,4,1,5,3,2,6]=>[6,5,3,2,4,7,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[7,4,1,3,2,5,6]=>[5,3,4,2,6,7,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[7,4,3,1,2,6,5]=>[7,4,3,2,5,6,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[7,4,3,1,5,2,6]=>[6,4,3,2,5,7,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[7,3,1,2,4,6,5]=>[7,3,2,4,5,6,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[7,3,1,2,5,4,6]=>[6,3,2,4,5,7,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[7,3,1,4,2,5,6]=>[5,3,2,4,6,7,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[6,1,2,3,4,7,5]=>[7,2,3,4,5,1,6] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[6,1,2,3,7,4,5]=>[6,7,2,3,4,1,5] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[6,1,2,3,7,5,4]=>[7,6,2,3,4,1,5] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[6,1,2,7,3,4,5]=>[5,6,7,2,3,1,4] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[6,1,2,7,3,5,4]=>[7,5,6,2,3,1,4] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[6,1,2,7,5,3,4]=>[6,7,5,2,3,1,4] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[6,1,2,7,5,4,3]=>[7,6,5,2,3,1,4] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[6,1,2,7,4,3,5]=>[6,5,7,2,3,1,4] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[6,1,2,5,3,4,7]=>[5,6,2,3,4,1,7] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[6,1,2,5,3,7,4]=>[7,5,2,3,4,1,6] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[6,1,2,5,4,3,7]=>[6,5,2,3,4,1,7] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[6,1,2,4,3,5,7]=>[5,2,3,4,6,1,7] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[6,1,7,2,3,4,5]=>[4,5,6,7,2,1,3] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[6,1,7,2,3,5,4]=>[7,4,5,6,2,1,3] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[6,1,7,2,5,3,4]=>[6,7,4,5,2,1,3] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[6,1,7,2,5,4,3]=>[7,6,4,5,2,1,3] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[6,1,7,2,4,3,5]=>[6,4,5,7,2,1,3] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[6,1,7,5,2,3,4]=>[5,6,7,4,2,1,3] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[6,1,7,5,2,4,3]=>[7,5,6,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[6,1,7,5,4,2,3]=>[6,7,5,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[6,1,7,5,4,3,2]=>[7,6,5,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[6,1,7,5,3,2,4]=>[6,5,7,4,2,1,3] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[6,1,7,4,2,3,5]=>[5,6,4,7,2,1,3] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[6,1,7,4,2,5,3]=>[7,5,4,6,2,1,3] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[6,1,7,4,3,2,5]=>[6,5,4,7,2,1,3] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[6,1,7,3,2,4,5]=>[5,4,6,7,2,1,3] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[6,1,5,2,3,4,7]=>[4,5,6,2,3,1,7] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[6,1,5,2,3,7,4]=>[7,4,5,2,3,1,6] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[6,1,5,2,7,3,4]=>[6,7,4,2,3,1,5] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[6,1,5,2,7,4,3]=>[7,6,4,2,3,1,5] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[6,1,5,2,4,3,7]=>[6,4,5,2,3,1,7] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[6,1,5,4,2,3,7]=>[5,6,4,2,3,1,7] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[6,1,5,4,2,7,3]=>[7,5,4,2,3,1,6] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[6,1,5,4,3,2,7]=>[6,5,4,2,3,1,7] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[6,1,5,3,2,4,7]=>[5,4,6,2,3,1,7] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[6,1,4,2,3,5,7]=>[4,5,2,3,6,1,7] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[6,1,4,2,3,7,5]=>[7,4,2,3,5,1,6] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[6,1,4,2,5,3,7]=>[6,4,2,3,5,1,7] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[6,1,4,3,2,5,7]=>[5,4,2,3,6,1,7] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[6,1,3,2,4,5,7]=>[4,2,3,5,6,1,7] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[6,5,1,2,3,7,4]=>[7,3,4,5,2,1,6] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[6,5,1,2,7,3,4]=>[6,7,3,4,2,1,5] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[6,5,1,2,7,4,3]=>[7,6,3,4,2,1,5] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[6,5,1,2,4,3,7]=>[6,3,4,5,2,1,7] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[6,5,1,7,2,3,4]=>[5,6,7,3,2,1,4] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[6,5,1,7,2,4,3]=>[7,5,6,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[6,5,1,7,4,2,3]=>[6,7,5,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[6,5,1,7,4,3,2]=>[7,6,5,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[6,5,1,7,3,2,4]=>[6,5,7,3,2,1,4] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[6,5,1,4,2,3,7]=>[5,6,3,4,2,1,7] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[6,5,1,4,2,7,3]=>[7,5,3,4,2,1,6] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[6,5,1,3,2,4,7]=>[5,3,4,6,2,1,7] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[6,5,4,1,2,7,3]=>[7,4,5,3,2,1,6] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[6,5,4,1,7,2,3]=>[6,7,4,3,2,1,5] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[6,5,4,1,7,3,2]=>[7,6,4,3,2,1,5] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[6,5,4,1,3,2,7]=>[6,4,5,3,2,1,7] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[6,5,4,3,1,7,2]=>[7,5,4,3,2,1,6] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[6,5,3,1,2,7,4]=>[7,4,3,5,2,1,6] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[6,5,3,1,4,2,7]=>[6,4,3,5,2,1,7] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[6,4,1,2,3,7,5]=>[7,3,4,2,5,1,6] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[6,4,1,2,7,3,5]=>[6,7,3,2,4,1,5] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[6,4,1,2,7,5,3]=>[7,6,3,2,4,1,5] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[6,4,1,2,5,3,7]=>[6,3,4,2,5,1,7] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[6,4,1,5,2,3,7]=>[5,6,3,2,4,1,7] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[6,4,1,5,2,7,3]=>[7,5,3,2,4,1,6] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[6,4,1,5,3,2,7]=>[6,5,3,2,4,1,7] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[6,4,1,3,2,5,7]=>[5,3,4,2,6,1,7] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[6,4,3,1,2,7,5]=>[7,4,3,2,5,1,6] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[6,4,3,1,5,2,7]=>[6,4,3,2,5,1,7] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[7,3,2,4,5,1,6] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[6,3,1,2,5,4,7]=>[6,3,2,4,5,1,7] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[6,3,1,4,2,5,7]=>[5,3,2,4,6,1,7] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[5,1,2,3,4,7,6]=>[7,2,3,4,1,5,6] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[5,1,2,3,7,4,6]=>[6,7,2,3,1,4,5] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[5,1,2,3,7,6,4]=>[7,6,2,3,1,4,5] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[5,1,2,3,6,4,7]=>[6,2,3,4,1,5,7] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[5,1,2,7,3,4,6]=>[5,6,7,2,1,3,4] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[5,1,2,7,3,6,4]=>[7,5,6,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[5,1,2,7,6,3,4]=>[6,7,5,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[5,1,2,7,6,4,3]=>[7,6,5,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[5,1,2,7,4,3,6]=>[6,5,7,2,1,3,4] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[5,1,2,6,3,4,7]=>[5,6,2,3,1,4,7] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[5,1,2,6,3,7,4]=>[7,5,2,3,1,4,6] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[5,1,2,6,4,3,7]=>[6,5,2,3,1,4,7] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[5,1,6,2,3,4,7]=>[4,5,6,2,1,3,7] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[5,1,6,2,3,7,4]=>[7,4,5,2,1,3,6] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[5,1,6,2,7,3,4]=>[6,7,4,2,1,3,5] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[5,1,6,2,7,4,3]=>[7,6,4,2,1,3,5] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[5,1,6,2,4,3,7]=>[6,4,5,2,1,3,7] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[5,1,6,4,2,3,7]=>[5,6,4,2,1,3,7] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[5,1,6,4,2,7,3]=>[7,5,4,2,1,3,6] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[5,1,6,4,3,2,7]=>[6,5,4,2,1,3,7] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[5,1,6,3,2,4,7]=>[5,4,6,2,1,3,7] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[5,1,4,2,3,6,7]=>[4,5,2,3,1,6,7] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[5,1,4,2,3,7,6]=>[7,4,2,3,1,5,6] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[5,1,4,2,6,3,7]=>[6,4,2,3,1,5,7] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[5,1,4,3,2,6,7]=>[5,4,2,3,1,6,7] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[5,1,3,2,4,6,7]=>[4,2,3,5,1,6,7] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[7,3,4,2,1,5,6] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[5,4,1,2,7,3,6]=>[6,7,3,2,1,4,5] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[5,4,1,2,7,6,3]=>[7,6,3,2,1,4,5] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[5,4,1,2,6,3,7]=>[6,3,4,2,1,5,7] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[5,6,3,2,1,4,7] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[7,5,3,2,1,4,6] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[5,4,1,6,3,2,7]=>[6,5,3,2,1,4,7] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[5,4,1,3,2,6,7]=>[5,3,4,2,1,6,7] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[5,4,3,1,2,7,6]=>[7,4,3,2,1,5,6] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[5,4,3,1,6,2,7]=>[6,4,3,2,1,5,7] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[5,3,1,2,4,7,6]=>[7,3,2,4,1,5,6] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[5,3,1,2,6,4,7]=>[6,3,2,4,1,5,7] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[5,3,1,4,2,6,7]=>[5,3,2,4,1,6,7] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[4,1,2,3,5,7,6]=>[7,2,3,1,4,5,6] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[4,1,2,3,7,5,6]=>[6,7,2,1,3,4,5] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[4,1,2,3,7,6,5]=>[7,6,2,1,3,4,5] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[4,1,2,3,6,5,7]=>[6,2,3,1,4,5,7] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[4,1,2,6,3,5,7]=>[5,6,2,1,3,4,7] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[4,1,2,6,3,7,5]=>[7,5,2,1,3,4,6] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[4,1,2,6,5,3,7]=>[6,5,2,1,3,4,7] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[4,1,2,5,3,6,7]=>[5,2,3,1,4,6,7] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[4,1,5,2,3,6,7]=>[4,5,2,1,3,6,7] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[4,1,5,2,3,7,6]=>[7,4,2,1,3,5,6] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[4,1,5,2,6,3,7]=>[6,4,2,1,3,5,7] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[4,1,5,3,2,6,7]=>[5,4,2,1,3,6,7] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[4,3,1,2,5,7,6]=>[7,3,2,1,4,5,6] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[4,3,1,2,6,5,7]=>[6,3,2,1,4,5,7] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[4,3,1,5,2,6,7]=>[5,3,2,1,4,6,7] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[3,1,2,4,5,7,6]=>[7,2,1,3,4,5,6] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[3,1,2,4,6,5,7]=>[6,2,1,3,4,5,7] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[3,1,2,5,4,6,7]=>[5,2,1,3,4,6,7] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[3,1,4,2,5,6,7]=>[4,2,1,3,5,6,7] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>[7,8,1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[1,2,3,4,8,5,6,7]=>[6,7,8,1,2,3,4,5] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[1,2,3,4,8,5,7,6]=>[8,6,7,1,2,3,4,5] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[8,7,6,5,3,2,4,1]=>[1,2,3,4,8,7,5,6]=>[7,8,6,1,2,3,4,5] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,5,7]=>[8,7,6,5,3,1,4,2]=>[1,2,3,4,8,6,5,7]=>[7,6,8,1,2,3,4,5] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[1,2,3,4,7,5,6,8]=>[6,7,1,2,3,4,5,8] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[8,6,1,2,3,4,5,7] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[1,2,3,4,7,6,5,8]=>[7,6,1,2,3,4,5,8] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[1,2,3,4,6,5,7,8]=>[6,1,2,3,4,5,7,8] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,2,3,8,4,5,6,7]=>[5,6,7,8,1,2,3,4] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[1,2,3,8,4,5,7,6]=>[8,5,6,7,1,2,3,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[1,2,3,8,4,7,5,6]=>[7,8,5,6,1,2,3,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[8,7,6,4,5,2,1,3]=>[1,2,3,8,4,7,6,5]=>[8,7,5,6,1,2,3,4] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,6,7]=>[8,7,6,4,5,1,3,2]=>[1,2,3,8,4,6,5,7]=>[7,5,6,8,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>[8,7,6,4,3,5,2,1]=>[1,2,3,8,7,4,5,6]=>[6,7,8,5,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[8,7,6,4,3,2,5,1]=>[1,2,3,8,7,6,4,5]=>[7,8,6,5,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,4,7]=>[8,7,6,4,3,1,5,2]=>[1,2,3,8,7,5,4,6]=>[7,6,8,5,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,4,6,8]=>[8,7,6,4,2,5,3,1]=>[1,2,3,8,6,4,5,7]=>[6,7,5,8,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,4,8,6]=>[8,7,6,4,2,5,1,3]=>[1,2,3,8,6,4,7,5]=>[8,6,5,7,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,4,6]=>[8,7,6,4,2,1,5,3]=>[1,2,3,8,6,5,4,7]=>[7,6,5,8,1,2,3,4] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,4,6,7]=>[8,7,6,4,1,5,3,2]=>[1,2,3,8,5,4,6,7]=>[6,5,7,8,1,2,3,4] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,4,5,7,8]=>[8,7,6,3,5,4,2,1]=>[1,2,3,7,4,5,6,8]=>[5,6,7,1,2,3,4,8] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[1,2,3,7,4,5,8,6]=>[8,5,6,1,2,3,4,7] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[1,2,3,7,4,8,5,6]=>[7,8,5,1,2,3,4,6] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,4,7,8,5]=>[8,7,6,3,5,2,1,4]=>[1,2,3,7,4,8,6,5]=>[8,7,5,1,2,3,4,6] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>[1,2,3,7,4,6,5,8]=>[7,5,6,1,2,3,4,8] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[1,2,3,7,6,4,5,8]=>[6,7,5,1,2,3,4,8] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>[1,2,3,7,6,4,8,5]=>[8,6,5,1,2,3,4,7] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,4,5]=>[8,7,6,3,2,1,5,4]=>[1,2,3,7,6,5,4,8]=>[7,6,5,1,2,3,4,8] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[1,2,3,6,4,5,7,8]=>[5,6,1,2,3,4,7,8] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,4,5,8,6]=>[8,7,6,2,5,4,1,3]=>[1,2,3,6,4,5,8,7]=>[8,5,1,2,3,4,6,7] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[1,2,3,6,4,7,5,8]=>[7,5,1,2,3,4,6,8] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[1,2,3,5,4,6,7,8]=>[5,1,2,3,4,6,7,8] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[1,2,8,3,4,5,6,7]=>[4,5,6,7,8,1,2,3] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[1,2,8,3,4,5,7,6]=>[8,4,5,6,7,1,2,3] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[8,7,5,6,4,2,1,3]=>[1,2,8,3,4,7,6,5]=>[8,7,4,5,6,1,2,3] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,8,6,7]=>[8,7,5,6,4,1,3,2]=>[1,2,8,3,4,6,5,7]=>[7,4,5,6,8,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,2,8,3,7,4,5,6]=>[6,7,8,4,5,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[1,2,8,3,7,4,6,5]=>[8,6,7,4,5,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[8,7,5,6,3,2,4,1]=>[1,2,8,3,7,6,4,5]=>[7,8,6,4,5,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>[1,2,8,3,7,6,5,4]=>[8,7,6,4,5,1,2,3] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,5,7]=>[8,7,5,6,3,1,4,2]=>[1,2,8,3,7,5,4,6]=>[7,6,8,4,5,1,2,3] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,5,8,6]=>[8,7,5,6,2,4,1,3]=>[1,2,8,3,6,4,7,5]=>[8,6,4,5,7,1,2,3] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[1,2,8,3,6,5,4,7]=>[7,6,4,5,8,1,2,3] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>[1,2,8,3,5,4,6,7]=>[6,4,5,7,8,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[8,7,5,4,6,3,2,1]=>[1,2,8,7,3,4,5,6]=>[5,6,7,8,4,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,8,7]=>[8,7,5,4,6,3,1,2]=>[1,2,8,7,3,4,6,5]=>[8,5,6,7,4,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,6,7]=>[8,7,5,4,6,1,3,2]=>[1,2,8,7,3,5,4,6]=>[7,5,6,8,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>[1,2,8,7,6,3,4,5]=>[6,7,8,5,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[8,7,5,4,3,2,6,1]=>[1,2,8,7,6,5,3,4]=>[7,8,6,5,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[1,2,8,7,6,4,3,5]=>[7,6,8,5,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,4,5,7,3,8,6]=>[8,7,5,4,2,6,1,3]=>[1,2,8,7,5,3,6,4]=>[8,6,5,7,4,1,2,3] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,7,8,3,6]=>[8,7,5,4,2,1,6,3]=>[1,2,8,7,5,4,3,6]=>[7,6,5,8,4,1,2,3] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[1,2,8,6,3,4,5,7]=>[5,6,7,4,8,1,2,3] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,4,6,3,5,8,7]=>[8,7,5,3,6,4,1,2]=>[1,2,8,6,3,4,7,5]=>[8,5,6,4,7,1,2,3] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,4,6,3,7,5,8]=>[8,7,5,3,6,2,4,1]=>[1,2,8,6,3,7,4,5]=>[7,8,5,4,6,1,2,3] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,6,7,3,8,5]=>[8,7,5,3,2,6,1,4]=>[1,2,8,6,5,3,7,4]=>[8,6,5,4,7,1,2,3] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>[1,2,8,6,5,4,3,7]=>[7,6,5,4,8,1,2,3] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>[1,2,8,6,4,3,5,7]=>[6,5,7,4,8,1,2,3] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>[1,2,8,5,3,4,6,7]=>[5,6,4,7,8,1,2,3] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>[1,2,8,5,4,3,6,7]=>[6,5,4,7,8,1,2,3] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>[5,4,6,7,8,1,2,3] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,3,4,6,7,8]=>[8,7,4,6,5,3,2,1]=>[1,2,7,3,4,5,6,8]=>[4,5,6,7,1,2,3,8] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,3,4,6,8,7]=>[8,7,4,6,5,3,1,2]=>[1,2,7,3,4,5,8,6]=>[8,4,5,6,1,2,3,7] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,3,4,7,6,8]=>[8,7,4,6,5,2,3,1]=>[1,2,7,3,4,8,5,6]=>[7,8,4,5,1,2,3,6] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,3,4,7,8,6]=>[8,7,4,6,5,2,1,3]=>[1,2,7,3,4,8,6,5]=>[8,7,4,5,1,2,3,6] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,3,4,8,6,7]=>[8,7,4,6,5,1,3,2]=>[1,2,7,3,4,6,5,8]=>[7,4,5,6,1,2,3,8] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[1,2,7,3,8,4,5,6]=>[6,7,8,4,1,2,3,5] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,5,3,6,4,8,7]=>[8,7,4,6,3,5,1,2]=>[1,2,7,3,8,4,6,5]=>[8,6,7,4,1,2,3,5] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,3,6,7,4,8]=>[8,7,4,6,3,2,5,1]=>[1,2,7,3,8,6,4,5]=>[7,8,6,4,1,2,3,5] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,3,6,7,8,4]=>[8,7,4,6,3,2,1,5]=>[1,2,7,3,8,6,5,4]=>[8,7,6,4,1,2,3,5] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,5,3,7,4,6,8]=>[8,7,4,6,2,5,3,1]=>[1,2,7,3,6,4,5,8]=>[6,7,4,5,1,2,3,8] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,3,7,4,8,6]=>[8,7,4,6,2,5,1,3]=>[1,2,7,3,6,4,8,5]=>[8,6,4,5,1,2,3,7] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>[1,2,7,3,5,4,6,8]=>[6,4,5,7,1,2,3,8] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[1,2,7,6,3,4,5,8]=>[5,6,7,4,1,2,3,8] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[1,2,7,6,3,4,8,5]=>[8,5,6,4,1,2,3,7] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,5,6,3,7,4,8]=>[8,7,4,3,6,2,5,1]=>[1,2,7,6,3,8,4,5]=>[7,8,5,4,1,2,3,6] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,5,6,3,7,8,4]=>[8,7,4,3,6,2,1,5]=>[1,2,7,6,3,8,5,4]=>[8,7,5,4,1,2,3,6] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,5,6,7,3,8,4]=>[8,7,4,3,2,6,1,5]=>[1,2,7,6,5,3,8,4]=>[8,6,5,4,1,2,3,7] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,5,7,3,4,6,8]=>[8,7,4,2,6,5,3,1]=>[1,2,7,5,3,4,6,8]=>[5,6,4,7,1,2,3,8] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,5,7,3,4,8,6]=>[8,7,4,2,6,5,1,3]=>[1,2,7,5,3,4,8,6]=>[8,5,4,6,1,2,3,7] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[1,2,7,5,3,6,4,8]=>[7,5,4,6,1,2,3,8] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>[1,2,7,4,3,5,6,8]=>[5,4,6,7,1,2,3,8] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[4,5,6,1,2,3,7,8] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[1,2,6,3,4,8,5,7]=>[7,8,4,1,2,3,5,6] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>[1,2,6,3,4,8,7,5]=>[8,7,4,1,2,3,5,6] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[1,2,6,3,4,7,5,8]=>[7,4,5,1,2,3,6,8] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>[1,2,6,3,7,4,5,8]=>[6,7,4,1,2,3,5,8] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[8,6,4,1,2,3,5,7] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>[1,2,6,3,7,5,4,8]=>[7,6,4,1,2,3,5,8] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,6,3,8,4,5,7]=>[8,7,3,6,1,5,4,2]=>[1,2,6,3,5,4,7,8]=>[6,4,5,1,2,3,7,8] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>[1,2,6,5,3,7,4,8]=>[7,5,4,1,2,3,6,8] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[1,2,6,5,4,3,7,8]=>[6,5,4,1,2,3,7,8] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,6,8,3,4,5,7]=>[8,7,3,1,6,5,4,2]=>[1,2,6,4,3,5,7,8]=>[5,4,6,1,2,3,7,8] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,3,4,5,6,8]=>[8,7,2,6,5,4,3,1]=>[1,2,5,3,4,6,7,8]=>[4,5,1,2,3,6,7,8] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>[1,2,5,3,4,7,6,8]=>[7,4,1,2,3,5,6,8] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[1,2,5,3,6,4,7,8]=>[6,4,1,2,3,5,7,8] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[1,2,5,4,3,6,7,8]=>[5,4,1,2,3,6,7,8] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[1,2,4,3,5,6,7,8]=>[4,1,2,3,5,6,7,8] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,2] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[1,8,2,3,4,5,7,6]=>[8,3,4,5,6,7,1,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,8,2,3,4,7,5,6]=>[7,8,3,4,5,6,1,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[8,6,7,5,4,2,1,3]=>[1,8,2,3,4,7,6,5]=>[8,7,3,4,5,6,1,2] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,6,7]=>[8,6,7,5,4,1,3,2]=>[1,8,2,3,4,6,5,7]=>[7,3,4,5,6,8,1,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,6,7,5,8]=>[8,6,7,5,3,2,4,1]=>[1,8,2,3,7,6,4,5]=>[7,8,6,3,4,5,1,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>[1,8,2,3,7,6,5,4]=>[8,7,6,3,4,5,1,2] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,5,7]=>[8,6,7,5,3,1,4,2]=>[1,8,2,3,7,5,4,6]=>[7,6,8,3,4,5,1,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,5,6,8]=>[8,6,7,5,2,4,3,1]=>[1,8,2,3,6,4,5,7]=>[6,7,3,4,5,8,1,2] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>[1,8,2,3,6,5,4,7]=>[7,6,3,4,5,8,1,2] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>[1,8,2,3,5,4,6,7]=>[6,3,4,5,7,8,1,2] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[1,8,2,7,3,4,5,6]=>[5,6,7,8,3,4,1,2] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>[1,8,2,7,3,4,6,5]=>[8,5,6,7,3,4,1,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[1,8,2,7,3,6,4,5]=>[7,8,5,6,3,4,1,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[8,6,7,4,5,2,1,3]=>[1,8,2,7,3,6,5,4]=>[8,7,5,6,3,4,1,2] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,6,7]=>[8,6,7,4,5,1,3,2]=>[1,8,2,7,3,5,4,6]=>[7,5,6,8,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[8,6,7,4,3,5,2,1]=>[1,8,2,7,6,3,4,5]=>[6,7,8,5,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>[1,8,2,7,6,5,4,3]=>[8,7,6,5,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,2,5,6,8,4,7]=>[8,6,7,4,3,1,5,2]=>[1,8,2,7,6,4,3,5]=>[7,6,8,5,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,4,6,8]=>[8,6,7,4,2,5,3,1]=>[1,8,2,7,5,3,4,6]=>[6,7,5,8,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,8,6]=>[8,6,7,4,2,5,1,3]=>[1,8,2,7,5,3,6,4]=>[8,6,5,7,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,4,6]=>[8,6,7,4,2,1,5,3]=>[1,8,2,7,5,4,3,6]=>[7,6,5,8,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>[1,8,2,7,4,3,5,6]=>[6,5,7,8,3,4,1,2] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,4,5,7,8]=>[8,6,7,3,5,4,2,1]=>[1,8,2,6,3,4,5,7]=>[5,6,7,3,4,8,1,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,4,7,5,8]=>[8,6,7,3,5,2,4,1]=>[1,8,2,6,3,7,4,5]=>[7,8,5,3,4,6,1,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,7,8,5]=>[8,6,7,3,5,2,1,4]=>[1,8,2,6,3,7,5,4]=>[8,7,5,3,4,6,1,2] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,4,8,5,7]=>[8,6,7,3,5,1,4,2]=>[1,8,2,6,3,5,4,7]=>[7,5,6,3,4,8,1,2] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,4,5,6,8]=>[8,6,7,2,5,4,3,1]=>[1,8,2,5,3,4,6,7]=>[5,6,3,4,7,8,1,2] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,4,8,5,6]=>[8,6,7,2,5,1,4,3]=>[1,8,2,5,3,6,4,7]=>[7,5,3,4,6,8,1,2] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>[1,8,2,4,3,5,6,7]=>[5,3,4,6,7,8,1,2] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[8,6,5,7,4,3,2,1]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,1,2] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[8,6,5,7,4,3,1,2]=>[1,8,7,2,3,4,6,5]=>[8,4,5,6,7,3,1,2] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]=>[8,6,5,7,4,2,3,1]=>[1,8,7,2,3,6,4,5]=>[7,8,4,5,6,3,1,2] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[8,6,5,7,4,2,1,3]=>[1,8,7,2,3,6,5,4]=>[8,7,4,5,6,3,1,2] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,6,7]=>[8,6,5,7,4,1,3,2]=>[1,8,7,2,3,5,4,6]=>[7,4,5,6,8,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[8,6,5,7,3,4,1,2]=>[1,8,7,2,6,3,5,4]=>[8,6,7,4,5,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[1,8,7,2,6,5,3,4]=>[7,8,6,4,5,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>[1,8,7,2,6,5,4,3]=>[8,7,6,4,5,3,1,2] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[1,8,7,2,5,3,4,6]=>[6,7,4,5,8,3,1,2] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>[1,8,7,2,5,4,3,6]=>[7,6,4,5,8,3,1,2] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[8,6,5,4,7,3,2,1]=>[1,8,7,6,2,3,4,5]=>[5,6,7,8,4,3,1,2] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[8,6,5,4,7,2,1,3]=>[1,8,7,6,2,5,4,3]=>[8,7,5,6,4,3,1,2] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,6,7]=>[8,6,5,4,7,1,3,2]=>[1,8,7,6,2,4,3,5]=>[7,5,6,8,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[8,6,5,4,3,7,2,1]=>[1,8,7,6,5,2,3,4]=>[6,7,8,5,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]=>[8,6,5,4,3,7,1,2]=>[1,8,7,6,5,2,4,3]=>[8,6,7,5,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[8,6,5,4,3,2,7,1]=>[1,8,7,6,5,4,2,3]=>[7,8,6,5,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>[1,8,7,6,5,3,2,4]=>[7,6,8,5,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,7,2,6,8]=>[8,6,5,4,2,7,3,1]=>[1,8,7,6,4,2,3,5]=>[6,7,5,8,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,2,8,6]=>[8,6,5,4,2,7,1,3]=>[1,8,7,6,4,2,5,3]=>[8,6,5,7,4,3,1,2] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,7,8,2,6]=>[8,6,5,4,2,1,7,3]=>[1,8,7,6,4,3,2,5]=>[7,6,5,8,4,3,1,2] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,4,6,2,5,7,8]=>[8,6,5,3,7,4,2,1]=>[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,1,2] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,2,7,5,8]=>[8,6,5,3,7,2,4,1]=>[1,8,7,5,2,6,3,4]=>[7,8,5,4,6,3,1,2] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,6,7,8,2,5]=>[8,6,5,3,2,1,7,4]=>[1,8,7,5,4,3,2,6]=>[7,6,5,4,8,3,1,2] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,1,2] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>[1,8,7,4,2,5,3,6]=>[7,5,4,6,8,3,1,2] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>[1,8,7,4,3,2,5,6]=>[6,5,4,7,8,3,1,2] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,1,2] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,2,4,6,7,8]=>[8,6,4,7,5,3,2,1]=>[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,1,2] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,2,4,7,6,8]=>[8,6,4,7,5,2,3,1]=>[1,8,6,2,3,7,4,5]=>[7,8,4,5,3,6,1,2] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,2,4,7,8,6]=>[8,6,4,7,5,2,1,3]=>[1,8,6,2,3,7,5,4]=>[8,7,4,5,3,6,1,2] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,5,2,6,4,7,8]=>[8,6,4,7,3,5,2,1]=>[1,8,6,2,7,3,4,5]=>[6,7,8,4,3,5,1,2] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>[1,8,6,2,7,3,5,4]=>[8,6,7,4,3,5,1,2] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>[1,8,6,2,7,4,3,5]=>[7,6,8,4,3,5,1,2] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]=>[1,8,6,2,5,3,4,7]=>[6,7,4,5,3,8,1,2] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,2,8,4,6,7]=>[8,6,4,7,1,5,3,2]=>[1,8,6,2,4,3,5,7]=>[6,4,5,7,3,8,1,2] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[1,8,6,5,2,7,3,4]=>[7,8,5,4,3,6,1,2] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,5,6,2,7,8,4]=>[8,6,4,3,7,2,1,5]=>[1,8,6,5,2,7,4,3]=>[8,7,5,4,3,6,1,2] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,2,4,8]=>[8,6,4,3,2,7,5,1]=>[1,8,6,5,4,2,3,7]=>[6,7,5,4,3,8,1,2] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>[1,8,6,5,4,3,2,7]=>[7,6,5,4,3,8,1,2] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[1,8,6,4,2,3,5,7]=>[5,6,4,7,3,8,1,2] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,5,7,2,4,8,6]=>[8,6,4,2,7,5,1,3]=>[1,8,6,4,2,3,7,5]=>[8,5,4,6,3,7,1,2] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,2,8,4,6]=>[8,6,4,2,7,1,5,3]=>[1,8,6,4,2,5,3,7]=>[7,5,4,6,3,8,1,2] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,1,2] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,2,4,7,5,8]=>[8,6,3,7,5,2,4,1]=>[1,8,5,2,3,7,4,6]=>[7,8,4,3,5,6,1,2] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>[1,8,5,2,3,7,6,4]=>[8,7,4,3,5,6,1,2] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,2,4,8,5,7]=>[8,6,3,7,5,1,4,2]=>[1,8,5,2,3,6,4,7]=>[7,4,5,3,6,8,1,2] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,6,2,7,4,8,5]=>[8,6,3,7,2,5,1,4]=>[1,8,5,2,6,3,7,4]=>[8,6,4,3,5,7,1,2] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,3,6,7,2,4,5,8]=>[8,6,3,2,7,5,4,1]=>[1,8,5,4,2,3,6,7]=>[5,6,4,3,7,8,1,2] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,6,7,2,4,8,5]=>[8,6,3,2,7,5,1,4]=>[1,8,5,4,2,3,7,6]=>[8,5,4,3,6,7,1,2] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,2,8,4,5]=>[8,6,3,2,7,1,5,4]=>[1,8,5,4,2,6,3,7]=>[7,5,4,3,6,8,1,2] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,6,7,8,2,4,5]=>[8,6,3,2,1,7,5,4]=>[1,8,5,4,3,2,6,7]=>[6,5,4,3,7,8,1,2] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>[1,8,5,3,2,4,6,7]=>[5,4,6,3,7,8,1,2] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,2,4,5,6,8]=>[8,6,2,7,5,4,3,1]=>[1,8,4,2,3,5,6,7]=>[4,5,3,6,7,8,1,2] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,7,2,4,5,8,6]=>[8,6,2,7,5,4,1,3]=>[1,8,4,2,3,5,7,6]=>[8,4,3,5,6,7,1,2] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,7,2,4,8,5,6]=>[8,6,2,7,5,1,4,3]=>[1,8,4,2,3,6,5,7]=>[7,4,3,5,6,8,1,2] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,7,2,8,4,5,6]=>[8,6,2,7,1,5,4,3]=>[1,8,4,2,5,3,6,7]=>[6,4,3,5,7,8,1,2] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>[4,3,5,6,7,8,1,2] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,1,2,8] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[1,7,2,3,4,5,8,6]=>[8,3,4,5,6,1,2,7] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[1,7,2,3,4,8,5,6]=>[7,8,3,4,5,1,2,6] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,2,3,5,7,8,6]=>[8,5,7,6,4,2,1,3]=>[1,7,2,3,4,8,6,5]=>[8,7,3,4,5,1,2,6] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,2,3,5,8,6,7]=>[8,5,7,6,4,1,3,2]=>[1,7,2,3,4,6,5,8]=>[7,3,4,5,6,1,2,8] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[1,7,2,3,8,6,4,5]=>[7,8,6,3,4,1,2,5] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>[1,7,2,3,8,6,5,4]=>[8,7,6,3,4,1,2,5] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,2,3,6,8,5,7]=>[8,5,7,6,3,1,4,2]=>[1,7,2,3,8,5,4,6]=>[7,6,8,3,4,1,2,5] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[1,7,2,3,6,4,5,8]=>[6,7,3,4,5,1,2,8] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>[1,7,2,3,5,4,6,8]=>[6,3,4,5,7,1,2,8] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[1,7,2,8,3,4,5,6]=>[5,6,7,8,3,1,2,4] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,5,3,7,6,8]=>[8,5,7,4,6,2,3,1]=>[1,7,2,8,3,6,4,5]=>[7,8,5,6,3,1,2,4] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>[1,7,2,8,3,6,5,4]=>[8,7,5,6,3,1,2,4] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>[1,7,2,8,3,5,4,6]=>[7,5,6,8,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,2,5,6,3,7,8]=>[8,5,7,4,3,6,2,1]=>[1,7,2,8,6,3,4,5]=>[6,7,8,5,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>[1,7,2,8,6,3,5,4]=>[8,6,7,5,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>[1,7,2,8,6,5,3,4]=>[7,8,6,5,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,2,5,7,3,6,8]=>[8,5,7,4,2,6,3,1]=>[1,7,2,8,5,3,4,6]=>[6,7,5,8,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>[1,7,2,8,5,3,6,4]=>[8,6,5,7,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>[1,7,2,8,5,4,3,6]=>[7,6,5,8,3,1,2,4] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>[1,7,2,8,4,3,5,6]=>[6,5,7,8,3,1,2,4] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[1,7,2,6,3,4,5,8]=>[5,6,7,3,4,1,2,8] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,4,2,6,3,5,8,7]=>[8,5,7,3,6,4,1,2]=>[1,7,2,6,3,4,8,5]=>[8,5,6,3,4,1,2,7] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[1,7,2,6,3,8,4,5]=>[7,8,5,3,4,1,2,6] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>[1,7,2,6,3,5,4,8]=>[7,5,6,3,4,1,2,8] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>[1,7,2,6,5,4,3,8]=>[7,6,5,3,4,1,2,8] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,2,6,8,3,5,7]=>[8,5,7,3,1,6,4,2]=>[1,7,2,6,4,3,5,8]=>[6,5,7,3,4,1,2,8] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,2,7,3,5,6,8]=>[8,5,7,2,6,4,3,1]=>[1,7,2,5,3,4,6,8]=>[5,6,3,4,7,1,2,8] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>[1,7,2,5,3,6,4,8]=>[7,5,3,4,6,1,2,8] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>[1,7,2,5,4,3,6,8]=>[6,5,3,4,7,1,2,8] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>[1,7,2,4,3,5,6,8]=>[5,3,4,6,7,1,2,8] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,1,2,8] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>[1,7,6,2,3,8,5,4]=>[8,7,4,5,3,1,2,6] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,4,5,2,6,3,7,8]=>[8,5,4,7,3,6,2,1]=>[1,7,6,2,8,3,4,5]=>[6,7,8,4,3,1,2,5] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,4,5,2,6,3,8,7]=>[8,5,4,7,3,6,1,2]=>[1,7,6,2,8,3,5,4]=>[8,6,7,4,3,1,2,5] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,2,6,7,8,3]=>[8,5,4,7,3,2,1,6]=>[1,7,6,2,8,5,4,3]=>[8,7,6,4,3,1,2,5] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,5,2,7,3,8,6]=>[8,5,4,7,2,6,1,3]=>[1,7,6,2,5,3,8,4]=>[8,6,4,5,3,1,2,7] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,2,8,3,6,7]=>[8,5,4,7,1,6,3,2]=>[1,7,6,2,4,3,5,8]=>[6,4,5,7,3,1,2,8] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,6,2,7,3,8]=>[8,5,4,3,7,2,6,1]=>[1,7,6,5,2,8,3,4]=>[7,8,5,4,3,1,2,6] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,6,2,7,8,3]=>[8,5,4,3,7,2,1,6]=>[1,7,6,5,2,8,4,3]=>[8,7,5,4,3,1,2,6] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[1,7,6,5,4,2,3,8]=>[6,7,5,4,3,1,2,8] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,7,2,8,3]=>[8,5,4,3,2,7,1,6]=>[1,7,6,5,4,2,8,3]=>[8,6,5,4,3,1,2,7] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,2,3]=>[8,5,4,3,2,1,7,6]=>[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,1,2,8] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,6,8,2,3,7]=>[8,5,4,3,1,7,6,2]=>[1,7,6,5,3,2,4,8]=>[6,5,7,4,3,1,2,8] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>[1,7,6,4,2,3,5,8]=>[5,6,4,7,3,1,2,8] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>[1,7,6,3,2,4,5,8]=>[5,4,6,7,3,1,2,8] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,4,6,2,3,5,7,8]=>[8,5,3,7,6,4,2,1]=>[1,7,5,2,3,4,6,8]=>[4,5,6,3,7,1,2,8] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,4,6,2,3,5,8,7]=>[8,5,3,7,6,4,1,2]=>[1,7,5,2,3,4,8,6]=>[8,4,5,3,6,1,2,7] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,4,6,2,3,7,5,8]=>[8,5,3,7,6,2,4,1]=>[1,7,5,2,3,8,4,6]=>[7,8,4,3,5,1,2,6] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>[1,7,5,2,3,6,4,8]=>[7,4,5,3,6,1,2,8] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[1,7,5,2,6,3,4,8]=>[6,7,4,3,5,1,2,8] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>[1,7,5,2,6,3,8,4]=>[8,6,4,3,5,1,2,7] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>[1,7,5,4,2,6,3,8]=>[7,5,4,3,6,1,2,8] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,4,6,7,8,2,3,5]=>[8,5,3,2,1,7,6,4]=>[1,7,5,4,3,2,6,8]=>[6,5,4,3,7,1,2,8] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[1,7,4,2,5,3,6,8]=>[6,4,3,5,7,1,2,8] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,2,3,5,6]=>[8,5,2,1,7,6,4,3]=>[1,7,4,3,2,5,6,8]=>[5,4,3,6,7,1,2,8] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>[1,7,3,2,4,5,6,8]=>[4,3,5,6,7,1,2,8] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,2,3,4,6,7,8]=>[8,4,7,6,5,3,2,1]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,1,2,7,8] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[1,6,2,3,4,5,8,7]=>[8,3,4,5,1,2,6,7] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[1,6,2,3,4,8,5,7]=>[7,8,3,4,1,2,5,6] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,2,3,4,7,8,6]=>[8,4,7,6,5,2,1,3]=>[1,6,2,3,4,8,7,5]=>[8,7,3,4,1,2,5,6] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[1,6,2,3,4,7,5,8]=>[7,3,4,5,1,2,6,8] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>[1,6,2,3,8,4,5,7]=>[6,7,8,3,1,2,4,5] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>[1,6,2,3,8,7,5,4]=>[8,7,6,3,1,2,4,5] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,2,3,6,8,4,7]=>[8,4,7,6,3,1,5,2]=>[1,6,2,3,8,5,4,7]=>[7,6,8,3,1,2,4,5] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[1,6,2,3,7,4,5,8]=>[6,7,3,4,1,2,5,8] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>[1,6,2,3,7,4,8,5]=>[8,6,3,4,1,2,5,7] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>[1,6,2,7,3,4,5,8]=>[5,6,7,3,1,2,4,8] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[1,6,2,7,3,4,8,5]=>[8,5,6,3,1,2,4,7] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,6,2,7,3,8,4,5]=>[7,8,5,3,1,2,4,6] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>[1,6,2,7,3,8,5,4]=>[8,7,5,3,1,2,4,6] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,2,6,3,8,4,7]=>[8,4,7,3,6,1,5,2]=>[1,6,2,7,3,5,4,8]=>[7,5,6,3,1,2,4,8] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,6,7,3,8,4]=>[8,4,7,3,2,6,1,5]=>[1,6,2,7,5,3,8,4]=>[8,6,5,3,1,2,4,7] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[1,6,2,5,3,4,7,8]=>[5,6,3,4,1,2,7,8] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,7,3,4,8,6]=>[8,4,7,2,6,5,1,3]=>[1,6,2,5,3,4,8,7]=>[8,5,3,4,1,2,6,7] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,2,7,3,8,4,6]=>[8,4,7,2,6,1,5,3]=>[1,6,2,5,3,7,4,8]=>[7,5,3,4,1,2,6,8] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>[1,6,2,4,3,5,7,8]=>[5,3,4,6,1,2,7,8] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,5,6,2,3,4,8,7]=>[8,4,3,7,6,5,1,2]=>[1,6,5,2,3,4,8,7]=>[8,4,5,3,1,2,6,7] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,6,2,3,7,8,4]=>[8,4,3,7,6,2,1,5]=>[1,6,5,2,3,8,7,4]=>[8,7,4,3,1,2,5,6] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>[1,6,5,2,3,7,4,8]=>[7,4,5,3,1,2,6,8] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,6,2,7,3,8,4]=>[8,4,3,7,2,6,1,5]=>[1,6,5,2,7,3,8,4]=>[8,6,4,3,1,2,5,7] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,5,6,2,7,8,3,4]=>[8,4,3,7,2,1,6,5]=>[1,6,5,2,7,4,3,8]=>[7,6,4,3,1,2,5,8] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>[1,6,5,4,2,3,8,7]=>[8,5,4,3,1,2,6,7] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,1,2,7,8] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>[1,6,5,3,2,4,7,8]=>[5,4,6,3,1,2,7,8] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,5,7,2,3,4,6,8]=>[8,4,2,7,6,5,3,1]=>[1,6,4,2,3,5,7,8]=>[4,5,3,6,1,2,7,8] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,7,2,3,4,8,6]=>[8,4,2,7,6,5,1,3]=>[1,6,4,2,3,5,8,7]=>[8,4,3,5,1,2,6,7] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,5,7,2,3,8,4,6]=>[8,4,2,7,6,1,5,3]=>[1,6,4,2,3,7,5,8]=>[7,4,3,5,1,2,6,8] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>[1,6,4,2,5,3,7,8]=>[6,4,3,5,1,2,7,8] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>[1,6,4,3,2,5,7,8]=>[5,4,3,6,1,2,7,8] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,1,2,7,8] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,2,3,4,5,7,8]=>[8,3,7,6,5,4,2,1]=>[1,5,2,3,4,6,7,8]=>[3,4,5,1,2,6,7,8] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,2,3,4,7,5,8]=>[8,3,7,6,5,2,4,1]=>[1,5,2,3,4,8,6,7]=>[7,8,3,1,2,4,5,6] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[1,5,2,3,4,7,6,8]=>[7,3,4,1,2,5,6,8] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,6,2,3,7,4,5,8]=>[8,3,7,6,2,5,4,1]=>[1,5,2,3,7,4,6,8]=>[6,7,3,1,2,4,5,8] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,8,5]=>[8,3,7,6,2,5,1,4]=>[1,5,2,3,7,4,8,6]=>[8,6,3,1,2,4,5,7] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[1,5,2,3,6,4,7,8]=>[6,3,4,1,2,5,7,8] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[1,5,2,6,3,4,7,8]=>[5,6,3,1,2,4,7,8] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[1,5,2,6,3,4,8,7]=>[8,5,3,1,2,4,6,7] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[7,5,3,1,2,4,6,8] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>[1,5,2,6,4,3,7,8]=>[6,5,3,1,2,4,7,8] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>[1,5,2,4,3,6,7,8]=>[5,3,4,1,2,6,7,8] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[1,5,4,2,3,6,7,8]=>[4,5,3,1,2,6,7,8] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,7,2,3,4,8,5]=>[8,3,2,7,6,5,1,4]=>[1,5,4,2,3,6,8,7]=>[8,4,3,1,2,5,6,7] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>[1,5,4,2,3,7,6,8]=>[7,4,3,1,2,5,6,8] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>[1,5,4,2,6,3,7,8]=>[6,4,3,1,2,5,7,8] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>[1,5,4,3,2,6,7,8]=>[5,4,3,1,2,6,7,8] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>[1,5,3,2,4,6,7,8]=>[4,3,5,1,2,6,7,8] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[1,4,2,3,5,6,7,8]=>[3,4,1,2,5,6,7,8] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[1,4,2,3,5,6,8,7]=>[8,3,1,2,4,5,6,7] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>[1,4,2,3,5,7,6,8]=>[7,3,1,2,4,5,6,8] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,2,3,8,4,5,6]=>[8,2,7,6,1,5,4,3]=>[1,4,2,3,6,5,7,8]=>[6,3,1,2,4,5,7,8] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[1,4,2,5,3,6,7,8]=>[5,3,1,2,4,6,7,8] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>[1,4,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[1,3,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[8,1,2,3,4,5,7,6]=>[8,2,3,4,5,6,7,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[8,1,2,3,4,7,5,6]=>[7,8,2,3,4,5,6,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[7,8,6,5,4,2,1,3]=>[8,1,2,3,4,7,6,5]=>[8,7,2,3,4,5,6,1] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,6,7]=>[7,8,6,5,4,1,3,2]=>[8,1,2,3,4,6,5,7]=>[7,2,3,4,5,6,8,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[8,1,2,3,7,4,5,6]=>[6,7,8,2,3,4,5,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>[8,1,2,3,7,6,5,4]=>[8,7,6,2,3,4,5,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,7,5,6,8]=>[7,8,6,5,2,4,3,1]=>[8,1,2,3,6,4,5,7]=>[6,7,2,3,4,5,8,1] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>[8,1,2,3,6,5,4,7]=>[7,6,2,3,4,5,8,1] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,5,6,7]=>[7,8,6,5,1,4,3,2]=>[8,1,2,3,5,4,6,7]=>[6,2,3,4,5,7,8,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[7,8,6,4,5,3,2,1]=>[8,1,2,7,3,4,5,6]=>[5,6,7,8,2,3,4,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[8,1,2,7,3,4,6,5]=>[8,5,6,7,2,3,4,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,3,5,6,4,7,8]=>[7,8,6,4,3,5,2,1]=>[8,1,2,7,6,3,4,5]=>[6,7,8,5,2,3,4,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>[8,1,2,7,6,5,4,3]=>[8,7,6,5,2,3,4,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,4,6,8]=>[7,8,6,4,2,5,3,1]=>[8,1,2,7,5,3,4,6]=>[6,7,5,8,2,3,4,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,6,4,5,7,8]=>[7,8,6,3,5,4,2,1]=>[8,1,2,6,3,4,5,7]=>[5,6,7,2,3,4,8,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,6,7,4,5,8]=>[7,8,6,3,2,5,4,1]=>[8,1,2,6,5,3,4,7]=>[6,7,5,2,3,4,8,1] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,7,8,4,5,6]=>[7,8,6,2,1,5,4,3]=>[8,1,2,5,4,3,6,7]=>[6,5,2,3,4,7,8,1] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,4,5,6,7]=>[7,8,6,1,5,4,3,2]=>[8,1,2,4,3,5,6,7]=>[5,2,3,4,6,7,8,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[8,1,7,2,3,4,5,6]=>[4,5,6,7,8,2,3,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>[8,1,7,2,3,6,5,4]=>[8,7,4,5,6,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[8,1,7,2,6,3,4,5]=>[6,7,8,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[8,1,7,2,6,3,5,4]=>[8,6,7,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>[8,1,7,2,6,5,4,3]=>[8,7,6,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>[8,1,7,2,6,4,3,5]=>[7,6,8,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,3,7,5,6,8]=>[7,8,5,6,2,4,3,1]=>[8,1,7,2,5,3,4,6]=>[6,7,4,5,8,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>[8,1,7,2,5,3,6,4]=>[8,6,4,5,7,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[8,1,7,2,5,4,3,6]=>[7,6,4,5,8,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>[8,1,7,2,4,3,5,6]=>[6,4,5,7,8,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>[8,1,7,6,5,2,3,4]=>[6,7,8,5,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[7,8,5,4,3,6,1,2]=>[8,1,7,6,5,2,4,3]=>[8,6,7,5,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>[7,8,5,4,3,2,6,1]=>[8,1,7,6,5,4,2,3]=>[7,8,6,5,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>[8,1,7,6,5,4,3,2]=>[8,7,6,5,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,3,7]=>[7,8,5,4,3,1,6,2]=>[8,1,7,6,5,3,2,4]=>[7,6,8,5,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>[8,1,7,6,4,2,5,3]=>[8,6,5,7,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,3,6]=>[7,8,5,4,2,1,6,3]=>[8,1,7,6,4,3,2,5]=>[7,6,5,8,4,2,3,1] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>[8,1,7,6,3,2,4,5]=>[6,5,7,8,4,2,3,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,3,5,7,8]=>[7,8,5,3,6,4,2,1]=>[8,1,7,5,2,3,4,6]=>[5,6,7,4,8,2,3,1] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,3,8,5,7]=>[7,8,5,3,6,1,4,2]=>[8,1,7,5,2,4,3,6]=>[7,5,6,4,8,2,3,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,3,5,8]=>[7,8,5,3,2,6,4,1]=>[8,1,7,5,4,2,3,6]=>[6,7,5,4,8,2,3,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,6,7,3,8,5]=>[7,8,5,3,2,6,1,4]=>[8,1,7,5,4,2,6,3]=>[8,6,5,4,7,2,3,1] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>[8,1,7,5,4,3,2,6]=>[7,6,5,4,8,2,3,1] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>[8,1,7,5,3,2,4,6]=>[6,5,7,4,8,2,3,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,4,7,3,5,6,8]=>[7,8,5,2,6,4,3,1]=>[8,1,7,4,2,3,5,6]=>[5,6,4,7,8,2,3,1] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>[8,1,7,3,2,4,5,6]=>[5,4,6,7,8,2,3,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,3,4,6,8,7]=>[7,8,4,6,5,3,1,2]=>[8,1,6,2,3,4,7,5]=>[8,4,5,6,2,3,7,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[8,1,6,2,7,3,5,4]=>[8,6,7,4,2,3,5,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>[8,1,6,2,5,3,7,4]=>[8,6,4,5,2,3,7,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[8,1,6,5,2,3,4,7]=>[5,6,7,4,2,3,8,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[8,1,6,5,2,3,7,4]=>[8,5,6,4,2,3,7,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,5,6,3,7,4,8]=>[7,8,4,3,6,2,5,1]=>[8,1,6,5,2,7,3,4]=>[7,8,5,4,2,3,6,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>[8,1,6,5,2,7,4,3]=>[8,7,5,4,2,3,6,1] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>[8,1,6,5,4,3,2,7]=>[7,6,5,4,2,3,8,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,5,7,3,4,6,8]=>[7,8,4,2,6,5,3,1]=>[8,1,6,4,2,3,5,7]=>[5,6,4,7,2,3,8,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,5,7,3,4,8,6]=>[7,8,4,2,6,5,1,3]=>[8,1,6,4,2,3,7,5]=>[8,5,4,6,2,3,7,1] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[8,1,6,4,2,5,3,7]=>[7,5,4,6,2,3,8,1] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>[8,1,6,3,2,4,5,7]=>[5,4,6,7,2,3,8,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>[8,1,5,2,3,7,6,4]=>[8,7,4,2,3,5,6,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,6,3,7,4,5,8]=>[7,8,3,6,2,5,4,1]=>[8,1,5,2,6,3,4,7]=>[6,7,4,2,3,5,8,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,8,5]=>[7,8,3,6,2,5,1,4]=>[8,1,5,2,6,3,7,4]=>[8,6,4,2,3,5,7,1] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>[8,1,5,2,6,4,3,7]=>[7,6,4,2,3,5,8,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,6,7,3,4,5,8]=>[7,8,3,2,6,5,4,1]=>[8,1,5,4,2,3,6,7]=>[5,6,4,2,3,7,8,1] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[8,1,5,4,3,2,6,7]=>[6,5,4,2,3,7,8,1] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,6,8,3,4,5,7]=>[7,8,3,1,6,5,4,2]=>[8,1,5,3,2,4,6,7]=>[5,4,6,2,3,7,8,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,7,3,4,5,6,8]=>[7,8,2,6,5,4,3,1]=>[8,1,4,2,3,5,6,7]=>[4,5,2,3,6,7,8,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>[8,1,4,2,3,5,7,6]=>[8,4,2,3,5,6,7,1] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>[8,1,4,2,3,6,5,7]=>[7,4,2,3,5,6,8,1] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,3,8,4,5,6]=>[7,8,2,6,1,5,4,3]=>[8,1,4,2,5,3,6,7]=>[6,4,2,3,5,7,8,1] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[8,1,4,3,2,5,6,7]=>[5,4,2,3,6,7,8,1] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>[8,1,3,2,4,5,6,7]=>[4,2,3,5,6,7,8,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[8,7,1,2,3,4,5,6]=>[3,4,5,6,7,8,2,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[7,6,8,5,4,3,1,2]=>[8,7,1,2,3,4,6,5]=>[8,3,4,5,6,7,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[7,6,8,5,4,2,3,1]=>[8,7,1,2,3,6,4,5]=>[7,8,3,4,5,6,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[8,7,1,2,3,6,5,4]=>[8,7,3,4,5,6,2,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,4,6,5,7,8]=>[7,6,8,5,3,4,2,1]=>[8,7,1,2,6,3,4,5]=>[6,7,8,3,4,5,2,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[7,6,8,5,3,2,4,1]=>[8,7,1,2,6,5,3,4]=>[7,8,6,3,4,5,2,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>[8,7,1,2,6,5,4,3]=>[8,7,6,3,4,5,2,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,1,4,7,5,6,8]=>[7,6,8,5,2,4,3,1]=>[8,7,1,2,5,3,4,6]=>[6,7,3,4,5,8,2,1] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>[8,7,1,2,5,4,3,6]=>[7,6,3,4,5,8,2,1] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>[8,7,1,2,4,3,5,6]=>[6,3,4,5,7,8,2,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[7,6,8,4,5,3,2,1]=>[8,7,1,6,2,3,4,5]=>[5,6,7,8,3,4,2,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[7,6,8,4,5,2,3,1]=>[8,7,1,6,2,5,3,4]=>[7,8,5,6,3,4,2,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,7,8,6]=>[7,6,8,4,5,2,1,3]=>[8,7,1,6,2,5,4,3]=>[8,7,5,6,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]=>[7,6,8,4,3,5,2,1]=>[8,7,1,6,5,2,3,4]=>[6,7,8,5,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>[8,7,1,6,5,4,3,2]=>[8,7,6,5,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,1,5,6,8,4,7]=>[7,6,8,4,3,1,5,2]=>[8,7,1,6,5,3,2,4]=>[7,6,8,5,3,4,2,1] [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,3,1,5,7,4,6,8]=>[7,6,8,4,2,5,3,1]=>[8,7,1,6,4,2,3,5]=>[6,7,5,8,3,4,2,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,4,5,7,8]=>[7,6,8,3,5,4,2,1]=>[8,7,1,5,2,3,4,6]=>[5,6,7,3,4,8,2,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>[8,7,1,5,2,6,3,4]=>[7,8,5,3,4,6,2,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,6,7,4,5,8]=>[7,6,8,3,2,5,4,1]=>[8,7,1,5,4,2,3,6]=>[6,7,5,3,4,8,2,1] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,4,8,5,6]=>[7,6,8,2,5,1,4,3]=>[8,7,1,4,2,5,3,6]=>[7,5,3,4,6,8,2,1] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,4,5,6,7]=>[7,6,8,1,5,4,3,2]=>[8,7,1,3,2,4,5,6]=>[5,3,4,6,7,8,2,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>[8,7,6,1,2,3,5,4]=>[8,4,5,6,7,3,2,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>[8,7,6,1,2,5,3,4]=>[7,8,4,5,6,3,2,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>[8,7,6,1,2,5,4,3]=>[8,7,4,5,6,3,2,1] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>[8,7,6,1,2,4,3,5]=>[7,4,5,6,8,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>[8,7,6,1,5,2,3,4]=>[6,7,8,4,5,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>[8,7,6,1,5,2,4,3]=>[8,6,7,4,5,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>[8,7,6,1,5,4,2,3]=>[7,8,6,4,5,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[8,7,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>[8,7,6,1,5,3,2,4]=>[7,6,8,4,5,3,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[8,7,6,1,4,2,3,5]=>[6,7,4,5,8,3,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>[8,7,6,1,4,2,5,3]=>[8,6,4,5,7,3,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>[8,7,6,1,4,3,2,5]=>[7,6,4,5,8,3,2,1] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[8,7,6,1,3,2,4,5]=>[6,4,5,7,8,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[7,6,5,4,8,3,1,2]=>[8,7,6,5,1,2,4,3]=>[8,5,6,7,4,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[7,6,5,4,8,2,3,1]=>[8,7,6,5,1,4,2,3]=>[7,8,5,6,4,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[7,6,5,4,8,2,1,3]=>[8,7,6,5,1,4,3,2]=>[8,7,5,6,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[8,7,6,5,4,1,2,3]=>[6,7,8,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[7,6,5,4,3,8,1,2]=>[8,7,6,5,4,1,3,2]=>[8,6,7,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[7,6,5,4,3,2,8,1]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,1,7]=>[7,6,5,4,3,1,8,2]=>[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,1,6,8]=>[7,6,5,4,2,8,3,1]=>[8,7,6,5,3,1,2,4]=>[6,7,5,8,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,1,8,6]=>[7,6,5,4,2,8,1,3]=>[8,7,6,5,3,1,4,2]=>[8,6,5,7,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,1,6]=>[7,6,5,4,2,1,8,3]=>[8,7,6,5,3,2,1,4]=>[7,6,5,8,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,1,6,7]=>[7,6,5,4,1,8,3,2]=>[8,7,6,5,2,1,3,4]=>[6,5,7,8,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,1,5,7,8]=>[7,6,5,3,8,4,2,1]=>[8,7,6,4,1,2,3,5]=>[5,6,7,4,8,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,4,6,1,5,8,7]=>[7,6,5,3,8,4,1,2]=>[8,7,6,4,1,2,5,3]=>[8,5,6,4,7,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,1,7,5,8]=>[7,6,5,3,8,2,4,1]=>[8,7,6,4,1,5,2,3]=>[7,8,5,4,6,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,6,7,1,5,8]=>[7,6,5,3,2,8,4,1]=>[8,7,6,4,3,1,2,5]=>[6,7,5,4,8,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,1,5]=>[7,6,5,3,2,1,8,4]=>[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,8,1,5,7]=>[7,6,5,3,1,8,4,2]=>[8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,1,5,6,8]=>[7,6,5,2,8,4,3,1]=>[8,7,6,3,1,2,4,5]=>[5,6,4,7,8,3,2,1] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>[8,7,6,3,2,1,4,5]=>[6,5,4,7,8,3,2,1] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[8,7,6,2,1,3,4,5]=>[5,4,6,7,8,3,2,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,1,4,6,7,8]=>[7,6,4,8,5,3,2,1]=>[8,7,5,1,2,3,4,6]=>[4,5,6,7,3,8,2,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,1,4,6,8,7]=>[7,6,4,8,5,3,1,2]=>[8,7,5,1,2,3,6,4]=>[8,4,5,6,3,7,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>[8,7,5,1,2,6,3,4]=>[7,8,4,5,3,6,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,5,1,4,7,8,6]=>[7,6,4,8,5,2,1,3]=>[8,7,5,1,2,6,4,3]=>[8,7,4,5,3,6,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>[8,7,5,1,2,4,3,6]=>[7,4,5,6,3,8,2,1] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,1,6,4,7,8]=>[7,6,4,8,3,5,2,1]=>[8,7,5,1,6,2,3,4]=>[6,7,8,4,3,5,2,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,1,6,7,4,8]=>[7,6,4,8,3,2,5,1]=>[8,7,5,1,6,4,2,3]=>[7,8,6,4,3,5,2,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,1,6,7,8,4]=>[7,6,4,8,3,2,1,5]=>[8,7,5,1,6,4,3,2]=>[8,7,6,4,3,5,2,1] [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,5,1,6,8,4,7]=>[7,6,4,8,3,1,5,2]=>[8,7,5,1,6,3,2,4]=>[7,6,8,4,3,5,2,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>[8,7,5,1,4,2,6,3]=>[8,6,4,5,3,7,2,1] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,1,7,8,4,6]=>[7,6,4,8,2,1,5,3]=>[8,7,5,1,4,3,2,6]=>[7,6,4,5,3,8,2,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,5,6,1,4,7,8]=>[7,6,4,3,8,5,2,1]=>[8,7,5,4,1,2,3,6]=>[5,6,7,4,3,8,2,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,5,6,1,4,8,7]=>[7,6,4,3,8,5,1,2]=>[8,7,5,4,1,2,6,3]=>[8,5,6,4,3,7,2,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>[8,7,5,4,1,6,2,3]=>[7,8,5,4,3,6,2,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>[8,7,5,4,1,6,3,2]=>[8,7,5,4,3,6,2,1] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,5,6,1,8,4,7]=>[7,6,4,3,8,1,5,2]=>[8,7,5,4,1,3,2,6]=>[7,5,6,4,3,8,2,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,1,4,8]=>[7,6,4,3,2,8,5,1]=>[8,7,5,4,3,1,2,6]=>[6,7,5,4,3,8,2,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,5,6,7,1,8,4]=>[7,6,4,3,2,8,1,5]=>[8,7,5,4,3,1,6,2]=>[8,6,5,4,3,7,2,1] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>[8,7,5,4,3,2,1,6]=>[7,6,5,4,3,8,2,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>[8,7,5,3,1,2,4,6]=>[5,6,4,7,3,8,2,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,5,7,1,4,8,6]=>[7,6,4,2,8,5,1,3]=>[8,7,5,3,1,2,6,4]=>[8,5,4,6,3,7,2,1] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[8,7,5,3,1,4,2,6]=>[7,5,4,6,3,8,2,1] [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[8,7,5,2,1,3,4,6]=>[5,4,6,7,3,8,2,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,1,4,5,7,8]=>[7,6,3,8,5,4,2,1]=>[8,7,4,1,2,3,5,6]=>[4,5,6,3,7,8,2,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>[8,7,4,1,2,3,6,5]=>[8,4,5,3,6,7,2,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,6,1,4,7,5,8]=>[7,6,3,8,5,2,4,1]=>[8,7,4,1,2,6,3,5]=>[7,8,4,3,5,6,2,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>[8,7,4,1,2,6,5,3]=>[8,7,4,3,5,6,2,1] [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,1,4,8,5,7]=>[7,6,3,8,5,1,4,2]=>[8,7,4,1,2,5,3,6]=>[7,4,5,3,6,8,2,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>[8,7,4,1,5,2,6,3]=>[8,6,4,3,5,7,2,1] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,6,7,1,8,4,5]=>[7,6,3,2,8,1,5,4]=>[8,7,4,3,1,5,2,6]=>[7,5,4,3,6,8,2,1] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,6,7,8,1,4,5]=>[7,6,3,2,1,8,5,4]=>[8,7,4,3,2,1,5,6]=>[6,5,4,3,7,8,2,1] [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>[7,6,2,1,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>[5,4,3,6,7,8,2,1] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>[8,7,2,1,3,4,5,6]=>[4,3,5,6,7,8,2,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[8,6,1,2,3,4,5,7]=>[3,4,5,6,7,2,8,1] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,4,1,3,5,8,6,7]=>[7,5,8,6,4,1,3,2]=>[8,6,1,2,3,5,4,7]=>[7,3,4,5,6,2,8,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,3,6,5,7,8]=>[7,5,8,6,3,4,2,1]=>[8,6,1,2,7,3,4,5]=>[6,7,8,3,4,2,5,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>[8,6,1,2,7,3,5,4]=>[8,6,7,3,4,2,5,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,4,1,3,6,7,5,8]=>[7,5,8,6,3,2,4,1]=>[8,6,1,2,7,5,3,4]=>[7,8,6,3,4,2,5,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>[8,6,1,2,7,5,4,3]=>[8,7,6,3,4,2,5,1] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[8,6,1,2,7,4,3,5]=>[7,6,8,3,4,2,5,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[8,6,1,2,5,3,7,4]=>[8,6,3,4,5,2,7,1] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>[8,6,1,2,5,4,3,7]=>[7,6,3,4,5,2,8,1] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>[8,6,1,2,4,3,5,7]=>[6,3,4,5,7,2,8,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,3,6,7,8]=>[7,5,8,4,6,3,2,1]=>[8,6,1,7,2,3,4,5]=>[5,6,7,8,3,2,4,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,1,5,3,6,8,7]=>[7,5,8,4,6,3,1,2]=>[8,6,1,7,2,3,5,4]=>[8,5,6,7,3,2,4,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>[8,6,1,7,2,5,3,4]=>[7,8,5,6,3,2,4,1] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>[8,6,1,7,2,4,3,5]=>[7,5,6,8,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,4,1,5,6,3,7,8]=>[7,5,8,4,3,6,2,1]=>[8,6,1,7,5,2,3,4]=>[6,7,8,5,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>[8,6,1,7,5,2,4,3]=>[8,6,7,5,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,1,5,6,7,3,8]=>[7,5,8,4,3,2,6,1]=>[8,6,1,7,5,4,2,3]=>[7,8,6,5,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>[8,6,1,7,5,4,3,2]=>[8,7,6,5,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,1,5,6,8,3,7]=>[7,5,8,4,3,1,6,2]=>[8,6,1,7,5,3,2,4]=>[7,6,8,5,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,4,1,5,7,3,6,8]=>[7,5,8,4,2,6,3,1]=>[8,6,1,7,4,2,3,5]=>[6,7,5,8,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,7,3,8,6]=>[7,5,8,4,2,6,1,3]=>[8,6,1,7,4,2,5,3]=>[8,6,5,7,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,1,5,7,8,3,6]=>[7,5,8,4,2,1,6,3]=>[8,6,1,7,4,3,2,5]=>[7,6,5,8,3,2,4,1] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>[8,6,1,7,3,2,4,5]=>[6,5,7,8,3,2,4,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,6,3,5,7,8]=>[7,5,8,3,6,4,2,1]=>[8,6,1,5,2,3,4,7]=>[5,6,7,3,4,2,8,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>[8,6,1,5,2,7,4,3]=>[8,7,5,3,4,2,6,1] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[8,6,1,5,2,4,3,7]=>[7,5,6,3,4,2,8,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>[8,6,1,5,4,2,7,3]=>[8,6,5,3,4,2,7,1] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>[8,6,1,5,4,3,2,7]=>[7,6,5,3,4,2,8,1] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,1,6,8,3,5,7]=>[7,5,8,3,1,6,4,2]=>[8,6,1,5,3,2,4,7]=>[6,5,7,3,4,2,8,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>[8,6,1,4,2,3,7,5]=>[8,5,3,4,6,2,7,1] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>[8,6,1,4,2,5,3,7]=>[7,5,3,4,6,2,8,1] [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>[8,6,1,4,3,2,5,7]=>[6,5,3,4,7,2,8,1] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>[8,6,1,3,2,4,5,7]=>[5,3,4,6,7,2,8,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,1,3,6,7,8]=>[7,5,4,8,6,3,2,1]=>[8,6,5,1,2,3,4,7]=>[4,5,6,7,3,2,8,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>[8,6,5,1,2,3,7,4]=>[8,4,5,6,3,2,7,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>[8,6,5,1,2,7,4,3]=>[8,7,4,5,3,2,6,1] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,4,5,1,3,8,6,7]=>[7,5,4,8,6,1,3,2]=>[8,6,5,1,2,4,3,7]=>[7,4,5,6,3,2,8,1] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,4,5,1,6,3,7,8]=>[7,5,4,8,3,6,2,1]=>[8,6,5,1,7,2,3,4]=>[6,7,8,4,3,2,5,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,4,5,1,6,7,3,8]=>[7,5,4,8,3,2,6,1]=>[8,6,5,1,7,4,2,3]=>[7,8,6,4,3,2,5,1] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,1,8,3,6,7]=>[7,5,4,8,1,6,3,2]=>[8,6,5,1,3,2,4,7]=>[6,4,5,7,3,2,8,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,6,1,3,7,8]=>[7,5,4,3,8,6,2,1]=>[8,6,5,4,1,2,3,7]=>[5,6,7,4,3,2,8,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,6,1,7,3,8]=>[7,5,4,3,8,2,6,1]=>[8,6,5,4,1,7,2,3]=>[7,8,5,4,3,2,6,1] [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,6,1,8,3,7]=>[7,5,4,3,8,1,6,2]=>[8,6,5,4,1,3,2,7]=>[7,5,6,4,3,2,8,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,7,1,3,8]=>[7,5,4,3,2,8,6,1]=>[8,6,5,4,3,1,2,7]=>[6,7,5,4,3,2,8,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[8,6,5,4,3,1,7,2]=>[8,6,5,4,3,2,7,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,1,3]=>[7,5,4,3,2,1,8,6]=>[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,6,8,1,3,7]=>[7,5,4,3,1,8,6,2]=>[8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>[8,6,5,3,1,2,7,4]=>[8,5,4,6,3,2,7,1] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,7,8,1,3,6]=>[7,5,4,2,1,8,6,3]=>[8,6,5,3,2,1,4,7]=>[6,5,4,7,3,2,8,1] [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,4,5,8,1,3,6,7]=>[7,5,4,1,8,6,3,2]=>[8,6,5,2,1,3,4,7]=>[5,4,6,7,3,2,8,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,4,6,1,3,5,7,8]=>[7,5,3,8,6,4,2,1]=>[8,6,4,1,2,3,5,7]=>[4,5,6,3,7,2,8,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,1,3,5,8,7]=>[7,5,3,8,6,4,1,2]=>[8,6,4,1,2,3,7,5]=>[8,4,5,3,6,2,7,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>[8,6,4,1,2,7,3,5]=>[7,8,4,3,5,2,6,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,4,6,1,3,7,8,5]=>[7,5,3,8,6,2,1,4]=>[8,6,4,1,2,7,5,3]=>[8,7,4,3,5,2,6,1] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>[8,6,4,1,2,5,3,7]=>[7,4,5,3,6,2,8,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>[8,6,4,1,5,2,3,7]=>[6,7,4,3,5,2,8,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>[8,6,4,1,5,2,7,3]=>[8,6,4,3,5,2,7,1] [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,4,6,1,7,8,3,5]=>[7,5,3,8,2,1,6,4]=>[8,6,4,1,5,3,2,7]=>[7,6,4,3,5,2,8,1] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[8,6,4,1,3,2,5,7]=>[6,4,5,3,7,2,8,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,1,3,5,8]=>[7,5,3,2,8,6,4,1]=>[8,6,4,3,1,2,5,7]=>[5,6,4,3,7,2,8,1] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,4,6,7,8,1,3,5]=>[7,5,3,2,1,8,6,4]=>[8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>[8,6,3,1,2,4,7,5]=>[8,4,3,5,6,2,7,1] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,4,7,1,3,8,5,6]=>[7,5,2,8,6,1,4,3]=>[8,6,3,1,2,5,4,7]=>[7,4,3,5,6,2,8,1] [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,4,7,1,8,3,5,6]=>[7,5,2,8,1,6,4,3]=>[8,6,3,1,4,2,5,7]=>[6,4,3,5,7,2,8,1] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>[7,5,2,1,8,6,4,3]=>[8,6,3,2,1,4,5,7]=>[5,4,3,6,7,2,8,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[8,5,1,2,3,4,6,7]=>[3,4,5,6,2,7,8,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,1,3,4,7,6,8]=>[7,4,8,6,5,2,3,1]=>[8,5,1,2,3,7,4,6]=>[7,8,3,4,2,5,6,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,5,1,3,6,4,7,8]=>[7,4,8,6,3,5,2,1]=>[8,5,1,2,7,3,4,6]=>[6,7,8,3,2,4,5,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>[8,5,1,2,7,3,6,4]=>[8,6,7,3,2,4,5,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>[8,5,1,2,7,6,3,4]=>[7,8,6,3,2,4,5,1] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[8,5,1,2,7,4,3,6]=>[7,6,8,3,2,4,5,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>[8,5,1,2,6,3,4,7]=>[6,7,3,4,2,5,8,1] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,1,3,7,8,4,6]=>[7,4,8,6,2,1,5,3]=>[8,5,1,2,6,4,3,7]=>[7,6,3,4,2,5,8,1] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,1,3,8,4,6,7]=>[7,4,8,6,1,5,3,2]=>[8,5,1,2,4,3,6,7]=>[6,3,4,5,2,7,8,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,5,1,6,3,4,7,8]=>[7,4,8,3,6,5,2,1]=>[8,5,1,6,2,3,4,7]=>[5,6,7,3,2,4,8,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>[8,5,1,6,2,7,3,4]=>[7,8,5,3,2,4,6,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>[8,5,1,6,4,2,3,7]=>[6,7,5,3,2,4,8,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>[8,5,1,6,4,2,7,3]=>[8,6,5,3,2,4,7,1] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>[8,5,1,6,4,3,2,7]=>[7,6,5,3,2,4,8,1] [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>[8,5,1,6,3,2,4,7]=>[6,5,7,3,2,4,8,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,5,1,7,3,4,6,8]=>[7,4,8,2,6,5,3,1]=>[8,5,1,4,2,3,6,7]=>[5,6,3,4,2,7,8,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[8,5,1,4,2,3,7,6]=>[8,5,3,4,2,6,7,1] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>[8,5,1,4,2,6,3,7]=>[7,5,3,4,2,6,8,1] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,5,1,8,3,4,6,7]=>[7,4,8,1,6,5,3,2]=>[8,5,1,3,2,4,6,7]=>[5,3,4,6,2,7,8,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>[8,5,4,1,2,7,3,6]=>[7,8,4,3,2,5,6,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>[8,5,4,1,2,7,6,3]=>[8,7,4,3,2,5,6,1] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>[8,5,4,1,2,6,3,7]=>[7,4,5,3,2,6,8,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,5,6,1,7,3,4,8]=>[7,4,3,8,2,6,5,1]=>[8,5,4,1,6,2,3,7]=>[6,7,4,3,2,5,8,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,5,6,1,7,3,8,4]=>[7,4,3,8,2,6,1,5]=>[8,5,4,1,6,2,7,3]=>[8,6,4,3,2,5,7,1] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,5,6,1,7,8,3,4]=>[7,4,3,8,2,1,6,5]=>[8,5,4,1,6,3,2,7]=>[7,6,4,3,2,5,8,1] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[8,5,4,1,3,2,6,7]=>[6,4,5,3,2,7,8,1] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[8,5,4,3,2,1,6,7]=>[6,5,4,3,2,7,8,1] [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[8,5,4,2,1,3,6,7]=>[5,4,6,3,2,7,8,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>[8,5,3,1,2,4,6,7]=>[4,5,3,6,2,7,8,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>[8,5,3,1,2,4,7,6]=>[8,4,3,5,2,6,7,1] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>[8,5,3,2,1,4,6,7]=>[5,4,3,6,2,7,8,1] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>[8,5,2,1,3,4,6,7]=>[4,3,5,6,2,7,8,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,6,1,3,4,5,7,8]=>[7,3,8,6,5,4,2,1]=>[8,4,1,2,3,5,6,7]=>[3,4,5,2,6,7,8,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>[8,4,1,2,6,3,7,5]=>[8,6,3,2,4,5,7,1] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>[8,4,1,2,5,3,6,7]=>[6,3,4,2,5,7,8,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,6,1,7,3,4,5,8]=>[7,3,8,2,6,5,4,1]=>[8,4,1,5,2,3,6,7]=>[5,6,3,2,4,7,8,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,6,1,7,3,4,8,5]=>[7,3,8,2,6,5,1,4]=>[8,4,1,5,2,3,7,6]=>[8,5,3,2,4,6,7,1] [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>[8,4,1,5,2,6,3,7]=>[7,5,3,2,4,6,8,1] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,6,1,7,8,3,4,5]=>[7,3,8,2,1,6,5,4]=>[8,4,1,5,3,2,6,7]=>[6,5,3,2,4,7,8,1] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,6,1,8,3,4,5,7]=>[7,3,8,1,6,5,4,2]=>[8,4,1,3,2,5,6,7]=>[5,3,4,2,6,7,8,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>[8,4,3,1,2,5,7,6]=>[8,4,3,2,5,6,7,1] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,6,7,1,3,8,4,5]=>[7,3,2,8,6,1,5,4]=>[8,4,3,1,2,6,5,7]=>[7,4,3,2,5,6,8,1] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>[7,3,2,1,8,6,5,4]=>[8,4,3,2,1,5,6,7]=>[5,4,3,2,6,7,8,1] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,6,8,1,3,4,5,7]=>[7,3,1,8,6,5,4,2]=>[8,4,2,1,3,5,6,7]=>[4,3,5,2,6,7,8,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[8,3,1,2,4,5,6,7]=>[3,4,2,5,6,7,8,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>[8,3,1,2,4,5,7,6]=>[8,3,2,4,5,6,7,1] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>[8,3,1,2,4,6,5,7]=>[7,3,2,4,5,6,8,1] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,1,3,4,5,6]=>[7,2,1,8,6,5,4,3]=>[8,3,2,1,4,5,6,7]=>[4,3,2,5,6,7,8,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[8,2,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,6,8,7]=>[6,8,7,5,4,3,1,2]=>[7,1,2,3,4,5,8,6]=>[8,2,3,4,5,6,1,7] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,2,4,5,7,6,8]=>[6,8,7,5,4,2,3,1]=>[7,1,2,3,4,8,5,6]=>[7,8,2,3,4,5,1,6] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]=>[7,1,2,3,4,8,6,5]=>[8,7,2,3,4,5,1,6] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[7,1,2,3,4,6,5,8]=>[7,2,3,4,5,6,1,8] [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,2,4,6,5,7,8]=>[6,8,7,5,3,4,2,1]=>[7,1,2,3,8,4,5,6]=>[6,7,8,2,3,4,1,5] [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,2,4,6,7,5,8]=>[6,8,7,5,3,2,4,1]=>[7,1,2,3,8,6,4,5]=>[7,8,6,2,3,4,1,5] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>[7,1,2,3,8,6,5,4]=>[8,7,6,2,3,4,1,5] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,4,6,8,5,7]=>[6,8,7,5,3,1,4,2]=>[7,1,2,3,8,5,4,6]=>[7,6,8,2,3,4,1,5] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,2,4,7,5,6,8]=>[6,8,7,5,2,4,3,1]=>[7,1,2,3,6,4,5,8]=>[6,7,2,3,4,5,1,8] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>[7,1,2,3,6,4,8,5]=>[8,6,2,3,4,5,1,7] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,2,4,7,8,5,6]=>[6,8,7,5,2,1,4,3]=>[7,1,2,3,6,5,4,8]=>[7,6,2,3,4,5,1,8] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>[7,1,2,3,5,4,6,8]=>[6,2,3,4,5,7,1,8] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,2,5,4,6,7,8]=>[6,8,7,4,5,3,2,1]=>[7,1,2,8,3,4,5,6]=>[5,6,7,8,2,3,1,4] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6,8]=>[6,8,7,4,5,2,3,1]=>[7,1,2,8,3,6,4,5]=>[7,8,5,6,2,3,1,4] [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,1,2,5,4,8,6,7]=>[6,8,7,4,5,1,3,2]=>[7,1,2,8,3,5,4,6]=>[7,5,6,8,2,3,1,4] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>[7,1,2,8,6,5,4,3]=>[8,7,6,5,2,3,1,4] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6,8]=>[6,8,7,4,2,5,3,1]=>[7,1,2,8,5,3,4,6]=>[6,7,5,8,2,3,1,4] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,5,8]=>[6,8,7,3,5,2,4,1]=>[7,1,2,6,3,8,4,5]=>[7,8,5,2,3,4,1,6] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,1,2,6,4,7,8,5]=>[6,8,7,3,5,2,1,4]=>[7,1,2,6,3,8,5,4]=>[8,7,5,2,3,4,1,6] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>[7,1,2,6,5,3,8,4]=>[8,6,5,2,3,4,1,7] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,1,2,6,7,8,4,5]=>[6,8,7,3,2,1,5,4]=>[7,1,2,6,5,4,3,8]=>[7,6,5,2,3,4,1,8] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,2,7,4,5,6,8]=>[6,8,7,2,5,4,3,1]=>[7,1,2,5,3,4,6,8]=>[5,6,2,3,4,7,1,8] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,1,2,7,4,5,8,6]=>[6,8,7,2,5,4,1,3]=>[7,1,2,5,3,4,8,6]=>[8,5,2,3,4,6,1,7] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>[7,1,2,4,3,5,6,8]=>[5,2,3,4,6,7,1,8] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[7,1,8,2,3,4,5,6]=>[4,5,6,7,8,2,1,3] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,2,5,7,6,8]=>[6,8,5,7,4,2,3,1]=>[7,1,8,2,3,6,4,5]=>[7,8,4,5,6,2,1,3] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,4,2,5,7,8,6]=>[6,8,5,7,4,2,1,3]=>[7,1,8,2,3,6,5,4]=>[8,7,4,5,6,2,1,3] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,5,7,8]=>[6,8,5,7,3,4,2,1]=>[7,1,8,2,6,3,4,5]=>[6,7,8,4,5,2,1,3] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>[7,1,8,2,6,3,5,4]=>[8,6,7,4,5,2,1,3] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>[7,1,8,2,6,5,4,3]=>[8,7,6,4,5,2,1,3] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[7,1,8,2,6,4,3,5]=>[7,6,8,4,5,2,1,3] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[7,1,8,2,5,3,6,4]=>[8,6,4,5,7,2,1,3] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>[7,1,8,2,5,4,3,6]=>[7,6,4,5,8,2,1,3] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,5,2,6,7,8]=>[6,8,5,4,7,3,2,1]=>[7,1,8,6,2,3,4,5]=>[5,6,7,8,4,2,1,3] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2,7,6,8]=>[6,8,5,4,7,2,3,1]=>[7,1,8,6,2,5,3,4]=>[7,8,5,6,4,2,1,3] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,5,2,8,6,7]=>[6,8,5,4,7,1,3,2]=>[7,1,8,6,2,4,3,5]=>[7,5,6,8,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,6,2,7,8]=>[6,8,5,4,3,7,2,1]=>[7,1,8,6,5,2,3,4]=>[6,7,8,5,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,6,2,8,7]=>[6,8,5,4,3,7,1,2]=>[7,1,8,6,5,2,4,3]=>[8,6,7,5,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,7,2,8]=>[6,8,5,4,3,2,7,1]=>[7,1,8,6,5,4,2,3]=>[7,8,6,5,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>[7,1,8,6,5,4,3,2]=>[8,7,6,5,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>[7,1,8,6,5,3,2,4]=>[7,6,8,5,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,4,5,7,2,6,8]=>[6,8,5,4,2,7,3,1]=>[7,1,8,6,4,2,3,5]=>[6,7,5,8,4,2,1,3] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,4,5,7,8,2,6]=>[6,8,5,4,2,1,7,3]=>[7,1,8,6,4,3,2,5]=>[7,6,5,8,4,2,1,3] [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,4,6,2,5,7,8]=>[6,8,5,3,7,4,2,1]=>[7,1,8,5,2,3,4,6]=>[5,6,7,4,8,2,1,3] [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>[7,1,8,5,3,2,4,6]=>[6,5,7,4,8,2,1,3] [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,4,7,2,5,6,8]=>[6,8,5,2,7,4,3,1]=>[7,1,8,4,2,3,5,6]=>[5,6,4,7,8,2,1,3] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[7,1,8,4,2,3,6,5]=>[8,5,4,6,7,2,1,3] [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>[7,1,8,4,2,5,3,6]=>[7,5,4,6,8,2,1,3] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,5,2,4,6,7,8]=>[6,8,4,7,5,3,2,1]=>[7,1,6,2,3,4,5,8]=>[4,5,6,7,2,3,1,8] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,5,2,4,7,6,8]=>[6,8,4,7,5,2,3,1]=>[7,1,6,2,3,8,4,5]=>[7,8,4,5,2,3,1,6] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,5,2,4,7,8,6]=>[6,8,4,7,5,2,1,3]=>[7,1,6,2,3,8,5,4]=>[8,7,4,5,2,3,1,6] [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,6,4,7,8]=>[6,8,4,7,3,5,2,1]=>[7,1,6,2,8,3,4,5]=>[6,7,8,4,2,3,1,5] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>[7,1,6,2,8,3,5,4]=>[8,6,7,4,2,3,1,5] [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>[7,1,6,2,8,5,3,4]=>[7,8,6,4,2,3,1,5] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>[7,1,6,2,8,5,4,3]=>[8,7,6,4,2,3,1,5] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>[7,1,6,2,8,4,3,5]=>[7,6,8,4,2,3,1,5] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>[7,1,6,2,5,3,4,8]=>[6,7,4,5,2,3,1,8] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[7,1,6,2,5,3,8,4]=>[8,6,4,5,2,3,1,7] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>[7,1,6,2,5,4,3,8]=>[7,6,4,5,2,3,1,8] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,1,5,6,2,4,8,7]=>[6,8,4,3,7,5,1,2]=>[7,1,6,5,2,3,8,4]=>[8,5,6,4,2,3,1,7] [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>[7,1,6,5,2,4,3,8]=>[7,5,6,4,2,3,1,8] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>[7,1,6,5,4,2,8,3]=>[8,6,5,4,2,3,1,7] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,8,2,4]=>[6,8,4,3,2,1,7,5]=>[7,1,6,5,4,3,2,8]=>[7,6,5,4,2,3,1,8] [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,5,6,8,2,4,7]=>[6,8,4,3,1,7,5,2]=>[7,1,6,5,3,2,4,8]=>[6,5,7,4,2,3,1,8] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>[7,1,6,4,2,3,5,8]=>[5,6,4,7,2,3,1,8] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[7,1,6,4,2,3,8,5]=>[8,5,4,6,2,3,1,7] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>[7,1,6,4,2,5,3,8]=>[7,5,4,6,2,3,1,8] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,1,6,2,4,5,8,7]=>[6,8,3,7,5,4,1,2]=>[7,1,5,2,3,4,8,6]=>[8,4,5,2,3,6,1,7] [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>[7,1,5,2,3,8,6,4]=>[8,7,4,2,3,5,1,6] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>[7,1,5,2,3,6,4,8]=>[7,4,5,2,3,6,1,8] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>[7,1,5,2,6,3,4,8]=>[6,7,4,2,3,5,1,8] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>[7,1,5,2,6,3,8,4]=>[8,6,4,2,3,5,1,7] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>[7,1,5,2,6,4,3,8]=>[7,6,4,2,3,5,1,8] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,1,6,2,8,4,5,7]=>[6,8,3,7,1,5,4,2]=>[7,1,5,2,4,3,6,8]=>[6,4,5,2,3,7,1,8] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>[7,1,5,4,2,3,6,8]=>[5,6,4,2,3,7,1,8] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,1,6,7,2,8,4,5]=>[6,8,3,2,7,1,5,4]=>[7,1,5,4,2,6,3,8]=>[7,5,4,2,3,6,1,8] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>[7,1,5,3,2,4,6,8]=>[5,4,6,2,3,7,1,8] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>[7,1,4,2,3,5,6,8]=>[4,5,2,3,6,7,1,8] [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,1,7,2,4,5,8,6]=>[6,8,2,7,5,4,1,3]=>[7,1,4,2,3,5,8,6]=>[8,4,2,3,5,6,1,7] [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,7,2,8,4,5,6]=>[6,8,2,7,1,5,4,3]=>[7,1,4,2,5,3,6,8]=>[6,4,2,3,5,7,1,8] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,1,7,8,2,4,5,6]=>[6,8,2,1,7,5,4,3]=>[7,1,4,3,2,5,6,8]=>[5,4,2,3,6,7,1,8] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>[7,1,3,2,4,5,6,8]=>[4,2,3,5,6,7,1,8] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[7,6,1,2,3,4,5,8]=>[3,4,5,6,7,2,1,8] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,5,6,8,7]=>[6,5,8,7,4,3,1,2]=>[7,6,1,2,3,4,8,5]=>[8,3,4,5,6,2,1,7] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>[7,6,1,2,3,8,4,5]=>[7,8,3,4,5,2,1,6] [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,2,5,7,8,6]=>[6,5,8,7,4,2,1,3]=>[7,6,1,2,3,8,5,4]=>[8,7,3,4,5,2,1,6] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,4,1,2,5,8,6,7]=>[6,5,8,7,4,1,3,2]=>[7,6,1,2,3,5,4,8]=>[7,3,4,5,6,2,1,8] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[7,6,1,2,8,3,5,4]=>[8,6,7,3,4,2,1,5] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>[7,6,1,2,8,5,4,3]=>[8,7,6,3,4,2,1,5] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>[7,6,1,2,5,3,8,4]=>[8,6,3,4,5,2,1,7] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[7,6,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,1,5,2,6,7,8]=>[6,5,8,4,7,3,2,1]=>[7,6,1,8,2,3,4,5]=>[5,6,7,8,3,2,1,4] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,4,1,5,2,7,6,8]=>[6,5,8,4,7,2,3,1]=>[7,6,1,8,2,5,3,4]=>[7,8,5,6,3,2,1,4] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2,7,8,6]=>[6,5,8,4,7,2,1,3]=>[7,6,1,8,2,5,4,3]=>[8,7,5,6,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,5,6,2,7,8]=>[6,5,8,4,3,7,2,1]=>[7,6,1,8,5,2,3,4]=>[6,7,8,5,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,4,1,5,6,7,2,8]=>[6,5,8,4,3,2,7,1]=>[7,6,1,8,5,4,2,3]=>[7,8,6,5,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>[7,6,1,8,5,4,3,2]=>[8,7,6,5,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,4,1,5,6,8,2,7]=>[6,5,8,4,3,1,7,2]=>[7,6,1,8,5,3,2,4]=>[7,6,8,5,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,4,1,5,7,2,6,8]=>[6,5,8,4,2,7,3,1]=>[7,6,1,8,4,2,3,5]=>[6,7,5,8,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,4,1,5,7,8,2,6]=>[6,5,8,4,2,1,7,3]=>[7,6,1,8,4,3,2,5]=>[7,6,5,8,3,2,1,4] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,4,1,5,8,2,6,7]=>[6,5,8,4,1,7,3,2]=>[7,6,1,8,3,2,4,5]=>[6,5,7,8,3,2,1,4] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,6,2,5,8,7]=>[6,5,8,3,7,4,1,2]=>[7,6,1,5,2,3,8,4]=>[8,5,6,3,4,2,1,7] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,8,5,7]=>[6,5,8,3,7,1,4,2]=>[7,6,1,5,2,4,3,8]=>[7,5,6,3,4,2,1,8] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,4,1,6,7,2,8,5]=>[6,5,8,3,2,7,1,4]=>[7,6,1,5,4,2,8,3]=>[8,6,5,3,4,2,1,7] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,7,2,5,8,6]=>[6,5,8,2,7,4,1,3]=>[7,6,1,4,2,3,8,5]=>[8,5,3,4,6,2,1,7] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>[7,6,1,4,3,2,5,8]=>[6,5,3,4,7,2,1,8] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,1,2,6,7,8]=>[6,5,4,8,7,3,2,1]=>[7,6,5,1,2,3,4,8]=>[4,5,6,7,3,2,1,8] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,5,1,2,6,8,7]=>[6,5,4,8,7,3,1,2]=>[7,6,5,1,2,3,8,4]=>[8,4,5,6,3,2,1,7] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,5,1,2,7,6,8]=>[6,5,4,8,7,2,3,1]=>[7,6,5,1,2,8,3,4]=>[7,8,4,5,3,2,1,6] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,5,1,2,7,8,6]=>[6,5,4,8,7,2,1,3]=>[7,6,5,1,2,8,4,3]=>[8,7,4,5,3,2,1,6] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>[7,6,5,1,2,4,3,8]=>[7,4,5,6,3,2,1,8] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,1,6,2,7,8]=>[6,5,4,8,3,7,2,1]=>[7,6,5,1,8,2,3,4]=>[6,7,8,4,3,2,1,5] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,5,1,6,2,8,7]=>[6,5,4,8,3,7,1,2]=>[7,6,5,1,8,2,4,3]=>[8,6,7,4,3,2,1,5] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,5,1,6,7,2,8]=>[6,5,4,8,3,2,7,1]=>[7,6,5,1,8,4,2,3]=>[7,8,6,4,3,2,1,5] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,1,6,7,8,2]=>[6,5,4,8,3,2,1,7]=>[7,6,5,1,8,4,3,2]=>[8,7,6,4,3,2,1,5] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,5,1,7,2,6,8]=>[6,5,4,8,2,7,3,1]=>[7,6,5,1,4,2,3,8]=>[6,7,4,5,3,2,1,8] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,5,1,7,2,8,6]=>[6,5,4,8,2,7,1,3]=>[7,6,5,1,4,2,8,3]=>[8,6,4,5,3,2,1,7] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,1,7,8,2,6]=>[6,5,4,8,2,1,7,3]=>[7,6,5,1,4,3,2,8]=>[7,6,4,5,3,2,1,8] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,1,2,7,8]=>[6,5,4,3,8,7,2,1]=>[7,6,5,4,1,2,3,8]=>[5,6,7,4,3,2,1,8] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>[7,6,5,4,1,2,8,3]=>[8,5,6,4,3,2,1,7] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>[7,6,5,4,1,8,2,3]=>[7,8,5,4,3,2,1,6] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>[7,6,5,4,1,8,3,2]=>[8,7,5,4,3,2,1,6] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>[7,6,5,4,1,3,2,8]=>[7,5,6,4,3,2,1,8] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>[7,6,5,4,3,1,2,8]=>[6,7,5,4,3,2,1,8] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>[7,6,5,4,3,1,8,2]=>[8,6,5,4,3,2,1,7] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>[7,6,5,4,2,1,3,8]=>[6,5,7,4,3,2,1,8] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,5,7,1,2,8,6]=>[6,5,4,2,8,7,1,3]=>[7,6,5,3,1,2,8,4]=>[8,5,4,6,3,2,1,7] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[6,5,4,1,8,7,3,2]=>[7,6,5,2,1,3,4,8]=>[5,4,6,7,3,2,1,8] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,4,6,1,2,5,8,7]=>[6,5,3,8,7,4,1,2]=>[7,6,4,1,2,3,8,5]=>[8,4,5,3,6,2,1,7] [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>[7,6,4,1,2,5,3,8]=>[7,4,5,3,6,2,1,8] [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>[7,6,4,1,5,2,3,8]=>[6,7,4,3,5,2,1,8] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,1,7,2,8,5]=>[6,5,3,8,2,7,1,4]=>[7,6,4,1,5,2,8,3]=>[8,6,4,3,5,2,1,7] [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,4,6,7,1,2,5,8]=>[6,5,3,2,8,7,4,1]=>[7,6,4,3,1,2,5,8]=>[5,6,4,3,7,2,1,8] [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>[7,6,4,3,1,2,8,5]=>[8,5,4,3,6,2,1,7] [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>[7,6,4,3,1,5,2,8]=>[7,5,4,3,6,2,1,8] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>[7,6,4,3,2,1,5,8]=>[6,5,4,3,7,2,1,8] [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>[7,6,4,2,1,3,5,8]=>[5,4,6,3,7,2,1,8] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,4,7,1,2,8,5,6]=>[6,5,2,8,7,1,4,3]=>[7,6,3,1,2,5,4,8]=>[7,4,3,5,6,2,1,8] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[7,6,3,1,4,2,5,8]=>[6,4,3,5,7,2,1,8] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[7,6,3,2,1,4,5,8]=>[5,4,3,6,7,2,1,8] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,1,2,4,6,7,8]=>[6,4,8,7,5,3,2,1]=>[7,5,1,2,3,4,6,8]=>[3,4,5,6,2,7,1,8] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>[7,5,1,2,3,4,8,6]=>[8,3,4,5,2,6,1,7] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>[7,5,1,2,3,8,4,6]=>[7,8,3,4,2,5,1,6] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,1,2,4,7,8,6]=>[6,4,8,7,5,2,1,3]=>[7,5,1,2,3,8,6,4]=>[8,7,3,4,2,5,1,6] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,5,1,2,6,4,7,8]=>[6,4,8,7,3,5,2,1]=>[7,5,1,2,8,3,4,6]=>[6,7,8,3,2,4,1,5] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,5,1,2,6,4,8,7]=>[6,4,8,7,3,5,1,2]=>[7,5,1,2,8,3,6,4]=>[8,6,7,3,2,4,1,5] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,5,1,2,6,7,4,8]=>[6,4,8,7,3,2,5,1]=>[7,5,1,2,8,6,3,4]=>[7,8,6,3,2,4,1,5] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,1,2,6,7,8,4]=>[6,4,8,7,3,2,1,5]=>[7,5,1,2,8,6,4,3]=>[8,7,6,3,2,4,1,5] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[7,5,1,6,2,3,8,4]=>[8,5,6,3,2,4,1,7] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,5,1,6,2,7,4,8]=>[6,4,8,3,7,2,5,1]=>[7,5,1,6,2,8,3,4]=>[7,8,5,3,2,4,1,6] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,5,1,6,2,7,8,4]=>[6,4,8,3,7,2,1,5]=>[7,5,1,6,2,8,4,3]=>[8,7,5,3,2,4,1,6] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,5,1,6,7,8,2,4]=>[6,4,8,3,2,1,7,5]=>[7,5,1,6,4,3,2,8]=>[7,6,5,3,2,4,1,8] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,5,1,7,2,4,6,8]=>[6,4,8,2,7,5,3,1]=>[7,5,1,4,2,3,6,8]=>[5,6,3,4,2,7,1,8] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[7,5,1,4,2,6,3,8]=>[7,5,3,4,2,6,1,8] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>[7,5,1,3,2,4,6,8]=>[5,3,4,6,2,7,1,8] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>[7,5,4,1,2,3,8,6]=>[8,4,5,3,2,6,1,7] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>[7,5,4,1,6,2,3,8]=>[6,7,4,3,2,5,1,8] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,1,7,2,8,4]=>[6,4,3,8,2,7,1,5]=>[7,5,4,1,6,2,8,3]=>[8,6,4,3,2,5,1,7] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>[7,5,4,1,6,3,2,8]=>[7,6,4,3,2,5,1,8] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,5,6,1,8,2,4,7]=>[6,4,3,8,1,7,5,2]=>[7,5,4,1,3,2,6,8]=>[6,4,5,3,2,7,1,8] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,5,6,7,1,2,4,8]=>[6,4,3,2,8,7,5,1]=>[7,5,4,3,1,2,6,8]=>[5,6,4,3,2,7,1,8] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>[7,5,4,3,2,1,6,8]=>[6,5,4,3,2,7,1,8] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>[4,5,3,6,2,7,1,8] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>[7,5,3,1,2,4,8,6]=>[8,4,3,5,2,6,1,7] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>[7,5,3,1,2,6,4,8]=>[7,4,3,5,2,6,1,8] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[7,5,3,2,1,4,6,8]=>[5,4,3,6,2,7,1,8] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[7,4,1,2,3,5,6,8]=>[3,4,5,2,6,7,1,8] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,8,7]=>[6,3,8,7,5,4,1,2]=>[7,4,1,2,3,5,8,6]=>[8,3,4,2,5,6,1,7] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,6,1,2,4,7,5,8]=>[6,3,8,7,5,2,4,1]=>[7,4,1,2,3,8,5,6]=>[7,8,3,2,4,5,1,6] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,6,1,2,4,7,8,5]=>[6,3,8,7,5,2,1,4]=>[7,4,1,2,3,8,6,5]=>[8,7,3,2,4,5,1,6] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,1,2,7,4,8,5]=>[6,3,8,7,2,5,1,4]=>[7,4,1,2,6,3,8,5]=>[8,6,3,2,4,5,1,7] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,6,1,2,7,8,4,5]=>[6,3,8,7,2,1,5,4]=>[7,4,1,2,6,5,3,8]=>[7,6,3,2,4,5,1,8] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>[7,4,1,5,2,3,8,6]=>[8,5,3,2,4,6,1,7] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>[7,4,1,5,2,6,3,8]=>[7,5,3,2,4,6,1,8] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[7,4,1,5,3,2,6,8]=>[6,5,3,2,4,7,1,8] [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,6,1,8,2,4,5,7]=>[6,3,8,1,7,5,4,2]=>[7,4,1,3,2,5,6,8]=>[5,3,4,2,6,7,1,8] [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[7,4,3,1,2,5,6,8]=>[4,5,3,2,6,7,1,8] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[7,4,3,1,2,6,5,8]=>[7,4,3,2,5,6,1,8] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>[6,3,2,1,8,7,5,4]=>[7,4,3,2,1,5,6,8]=>[5,4,3,2,6,7,1,8] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,7,1,2,4,5,6,8]=>[6,2,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>[3,4,2,5,6,7,1,8] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>[7,3,1,2,4,5,8,6]=>[8,3,2,4,5,6,1,7] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>[7,3,1,2,4,6,5,8]=>[7,3,2,4,5,6,1,8] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,1,2,8,4,5,6]=>[6,2,8,7,1,5,4,3]=>[7,3,1,2,5,4,6,8]=>[6,3,2,4,5,7,1,8] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>[7,3,2,1,4,5,6,8]=>[4,3,2,5,6,7,1,8] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>[7,2,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[6,1,2,3,4,5,8,7]=>[8,2,3,4,5,1,6,7] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[6,1,2,3,4,8,5,7]=>[7,8,2,3,4,1,5,6] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>[6,1,2,3,4,8,7,5]=>[8,7,2,3,4,1,5,6] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[6,1,2,3,4,7,5,8]=>[7,2,3,4,5,1,6,8] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>[6,1,2,3,8,4,5,7]=>[6,7,8,2,3,1,4,5] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>[6,1,2,3,8,4,7,5]=>[8,6,7,2,3,1,4,5] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>[6,1,2,3,8,7,4,5]=>[7,8,6,2,3,1,4,5] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[6,1,2,3,8,7,5,4]=>[8,7,6,2,3,1,4,5] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>[6,1,2,3,8,5,4,7]=>[7,6,8,2,3,1,4,5] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>[6,1,2,3,7,4,5,8]=>[6,7,2,3,4,1,5,8] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>[6,1,2,3,7,4,8,5]=>[8,6,2,3,4,1,5,7] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>[6,1,2,3,7,5,4,8]=>[7,6,2,3,4,1,5,8] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[6,1,2,3,5,4,7,8]=>[6,2,3,4,5,1,7,8] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,2,5,3,6,7,8]=>[5,8,7,4,6,3,2,1]=>[6,1,2,8,3,4,5,7]=>[5,6,7,8,2,1,3,4] [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,1,2,5,3,6,8,7]=>[5,8,7,4,6,3,1,2]=>[6,1,2,8,3,4,7,5]=>[8,5,6,7,2,1,3,4] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>[6,1,2,8,3,7,4,5]=>[7,8,5,6,2,1,3,4] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>[6,1,2,8,3,5,4,7]=>[7,5,6,8,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>[6,1,2,8,7,3,4,5]=>[6,7,8,5,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>[6,1,2,8,7,3,5,4]=>[8,6,7,5,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,2,5,6,8,3,7]=>[5,8,7,4,3,1,6,2]=>[6,1,2,8,7,4,3,5]=>[7,6,8,5,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>[6,1,2,8,5,3,4,7]=>[6,7,5,8,2,1,3,4] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,5,7,3,8,6]=>[5,8,7,4,2,6,1,3]=>[6,1,2,8,5,3,7,4]=>[8,6,5,7,2,1,3,4] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>[6,1,2,7,3,4,5,8]=>[5,6,7,2,3,1,4,8] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,7,5,8]=>[5,8,7,3,6,2,4,1]=>[6,1,2,7,3,8,4,5]=>[7,8,5,2,3,1,4,6] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,1,2,6,7,3,8,5]=>[5,8,7,3,2,6,1,4]=>[6,1,2,7,5,3,8,4]=>[8,6,5,2,3,1,4,7] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>[6,1,2,7,5,4,3,8]=>[7,6,5,2,3,1,4,8] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>[6,1,2,5,3,4,7,8]=>[5,6,2,3,4,1,7,8] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>[6,1,2,5,4,3,7,8]=>[6,5,2,3,4,1,7,8] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>[6,1,2,4,3,5,7,8]=>[5,2,3,4,6,1,7,8] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,3,6,7,8]=>[5,8,4,7,6,3,2,1]=>[6,1,7,2,3,4,5,8]=>[4,5,6,7,2,1,3,8] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[6,1,7,2,3,4,8,5]=>[8,4,5,6,2,1,3,7] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>[6,1,7,2,3,8,4,5]=>[7,8,4,5,2,1,3,6] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[6,1,7,2,8,3,4,5]=>[6,7,8,4,2,1,3,5] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,8,7]=>[5,8,4,7,3,6,1,2]=>[6,1,7,2,8,3,5,4]=>[8,6,7,4,2,1,3,5] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,5,2,6,7,8,3]=>[5,8,4,7,3,2,1,6]=>[6,1,7,2,8,5,4,3]=>[8,7,6,4,2,1,3,5] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>[6,1,7,2,8,4,3,5]=>[7,6,8,4,2,1,3,5] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,5,2,7,3,6,8]=>[5,8,4,7,2,6,3,1]=>[6,1,7,2,5,3,4,8]=>[6,7,4,5,2,1,3,8] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,8,6]=>[5,8,4,7,2,6,1,3]=>[6,1,7,2,5,3,8,4]=>[8,6,4,5,2,1,3,7] [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,5,6,2,3,7,8]=>[5,8,4,3,7,6,2,1]=>[6,1,7,5,2,3,4,8]=>[5,6,7,4,2,1,3,8] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,5,6,2,7,3,8]=>[5,8,4,3,7,2,6,1]=>[6,1,7,5,2,8,3,4]=>[7,8,5,4,2,1,3,6] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,1,5,6,2,7,8,3]=>[5,8,4,3,7,2,1,6]=>[6,1,7,5,2,8,4,3]=>[8,7,5,4,2,1,3,6] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>[6,1,7,5,3,2,4,8]=>[6,5,7,4,2,1,3,8] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>[6,1,7,4,2,5,3,8]=>[7,5,4,6,2,1,3,8] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,5,8,2,3,6,7]=>[5,8,4,1,7,6,3,2]=>[6,1,7,3,2,4,5,8]=>[5,4,6,7,2,1,3,8] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7,8]=>[5,8,3,7,6,4,2,1]=>[6,1,5,2,3,4,7,8]=>[4,5,6,2,3,1,7,8] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,1,6,2,3,5,8,7]=>[5,8,3,7,6,4,1,2]=>[6,1,5,2,3,4,8,7]=>[8,4,5,2,3,1,6,7] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[6,1,5,2,3,8,4,7]=>[7,8,4,2,3,1,5,6] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>[6,1,5,2,7,3,4,8]=>[6,7,4,2,3,1,5,8] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[6,1,5,2,7,3,8,4]=>[8,6,4,2,3,1,5,7] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[6,1,5,4,2,3,8,7]=>[8,5,4,2,3,1,6,7] [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,1,6,7,2,8,3,5]=>[5,8,3,2,7,1,6,4]=>[6,1,5,4,2,7,3,8]=>[7,5,4,2,3,1,6,8] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>[6,1,4,2,3,5,7,8]=>[4,5,2,3,6,1,7,8] [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,1,7,2,3,5,8,6]=>[5,8,2,7,6,4,1,3]=>[6,1,4,2,3,5,8,7]=>[8,4,2,3,5,1,6,7] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>[6,1,4,2,5,3,7,8]=>[6,4,2,3,5,1,7,8] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>[6,5,1,2,3,4,8,7]=>[8,3,4,5,2,1,6,7] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>[6,5,1,2,3,8,4,7]=>[7,8,3,4,2,1,5,6] [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,5,1,2,3,7,8,6]=>[5,4,8,7,6,2,1,3]=>[6,5,1,2,3,8,7,4]=>[8,7,3,4,2,1,5,6] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,1,2,3,8,6,7]=>[5,4,8,7,6,1,3,2]=>[6,5,1,2,3,7,4,8]=>[7,3,4,5,2,1,6,8] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,5,1,2,6,3,7,8]=>[5,4,8,7,3,6,2,1]=>[6,5,1,2,8,3,4,7]=>[6,7,8,3,2,1,4,5] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,6,3,8,7]=>[5,4,8,7,3,6,1,2]=>[6,5,1,2,8,3,7,4]=>[8,6,7,3,2,1,4,5] [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,5,1,2,6,7,3,8]=>[5,4,8,7,3,2,6,1]=>[6,5,1,2,8,7,3,4]=>[7,8,6,3,2,1,4,5] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>[6,5,1,2,8,7,4,3]=>[8,7,6,3,2,1,4,5] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,5,1,2,7,3,8,6]=>[5,4,8,7,2,6,1,3]=>[6,5,1,2,7,3,8,4]=>[8,6,3,4,2,1,5,7] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,1,6,2,3,8,7]=>[5,4,8,3,7,6,1,2]=>[6,5,1,7,2,3,8,4]=>[8,5,6,3,2,1,4,7] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,1,6,2,7,3,8]=>[5,4,8,3,7,2,6,1]=>[6,5,1,7,2,8,3,4]=>[7,8,5,3,2,1,4,6] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,5,1,6,2,7,8,3]=>[5,4,8,3,7,2,1,6]=>[6,5,1,7,2,8,4,3]=>[8,7,5,3,2,1,4,6] [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>[6,5,1,7,4,2,3,8]=>[6,7,5,3,2,1,4,8] [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,1,6,7,2,8,3]=>[5,4,8,3,2,7,1,6]=>[6,5,1,7,4,2,8,3]=>[8,6,5,3,2,1,4,7] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>[6,5,1,7,4,3,2,8]=>[7,6,5,3,2,1,4,8] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,5,1,7,2,3,8,6]=>[5,4,8,2,7,6,1,3]=>[6,5,1,4,2,3,8,7]=>[8,5,3,4,2,1,6,7] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>[6,5,1,4,2,7,3,8]=>[7,5,3,4,2,1,6,8] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[6,5,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[6,5,4,1,2,3,7,8]=>[4,5,6,3,2,1,7,8] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[6,5,4,1,2,3,8,7]=>[8,4,5,3,2,1,6,7] [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>[6,5,4,1,7,2,3,8]=>[6,7,4,3,2,1,5,8] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,1,7,2,8,3]=>[5,4,3,8,2,7,1,6]=>[6,5,4,1,7,2,8,3]=>[8,6,4,3,2,1,5,7] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>[6,5,4,3,1,2,7,8]=>[5,6,4,3,2,1,7,8] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>[6,5,4,3,1,2,8,7]=>[8,5,4,3,2,1,6,7] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>[5,4,3,1,8,7,6,2]=>[6,5,4,2,1,3,7,8]=>[5,4,6,3,2,1,7,8] [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>[6,5,3,1,2,4,8,7]=>[8,4,3,5,2,1,6,7] [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[6,5,3,1,2,7,4,8]=>[7,4,3,5,2,1,6,8] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>[6,5,3,1,4,2,7,8]=>[6,4,3,5,2,1,7,8] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[6,5,3,2,1,4,7,8]=>[5,4,3,6,2,1,7,8] [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,6,1,2,3,5,7,8]=>[5,3,8,7,6,4,2,1]=>[6,4,1,2,3,5,7,8]=>[3,4,5,2,6,1,7,8] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,6,1,2,3,7,5,8]=>[5,3,8,7,6,2,4,1]=>[6,4,1,2,3,8,5,7]=>[7,8,3,2,4,1,5,6] [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,6,1,2,3,7,8,5]=>[5,3,8,7,6,2,1,4]=>[6,4,1,2,3,8,7,5]=>[8,7,3,2,4,1,5,6] [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>[6,4,1,2,7,3,5,8]=>[6,7,3,2,4,1,5,8] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>[6,4,1,2,5,3,7,8]=>[6,3,4,2,5,1,7,8] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>[6,4,1,5,2,3,7,8]=>[5,6,3,2,4,1,7,8] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>[6,4,1,5,2,3,8,7]=>[8,5,3,2,4,1,6,7] [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[6,4,1,5,2,7,3,8]=>[7,5,3,2,4,1,6,8] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>[6,4,1,5,3,2,7,8]=>[6,5,3,2,4,1,7,8] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>[6,4,1,3,2,5,7,8]=>[5,3,4,2,6,1,7,8] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,6,7,1,2,3,5,8]=>[5,3,2,8,7,6,4,1]=>[6,4,3,1,2,5,7,8]=>[4,5,3,2,6,1,7,8] [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>[6,4,3,1,2,7,5,8]=>[7,4,3,2,5,1,6,8] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[6,4,3,1,5,2,7,8]=>[6,4,3,2,5,1,7,8] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[6,4,3,2,1,5,7,8]=>[5,4,3,2,6,1,7,8] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>[6,4,2,1,3,5,7,8]=>[4,3,5,2,6,1,7,8] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>[6,3,1,2,4,5,7,8]=>[3,4,2,5,6,1,7,8] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>[6,3,1,2,4,5,8,7]=>[8,3,2,4,5,1,6,7] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>[6,3,1,2,4,7,5,8]=>[7,3,2,4,5,1,6,8] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,1,2,3,5,6]=>[5,2,1,8,7,6,4,3]=>[6,3,2,1,4,5,7,8]=>[4,3,2,5,6,1,7,8] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>[6,2,1,3,4,5,7,8]=>[3,2,4,5,6,1,7,8] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[5,1,2,3,4,6,8,7]=>[8,2,3,4,1,5,6,7] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,1,2,3,4,7,6,8]=>[4,8,7,6,5,2,3,1]=>[5,1,2,3,4,8,6,7]=>[7,8,2,3,1,4,5,6] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,1,2,3,4,7,8,6]=>[4,8,7,6,5,2,1,3]=>[5,1,2,3,4,8,7,6]=>[8,7,2,3,1,4,5,6] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>[5,1,2,3,8,4,6,7]=>[6,7,8,2,1,3,4,5] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>[5,1,2,3,8,7,4,6]=>[7,8,6,2,1,3,4,5] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[5,1,2,3,8,7,6,4]=>[8,7,6,2,1,3,4,5] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>[5,1,2,3,8,6,4,7]=>[7,6,8,2,1,3,4,5] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,3,7,4,6,8]=>[4,8,7,6,2,5,3,1]=>[5,1,2,3,7,4,6,8]=>[6,7,2,3,1,4,5,8] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,1,2,3,7,8,4,6]=>[4,8,7,6,2,1,5,3]=>[5,1,2,3,7,6,4,8]=>[7,6,2,3,1,4,5,8] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[5,1,2,3,6,4,7,8]=>[6,2,3,4,1,5,7,8] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>[5,1,2,7,3,4,6,8]=>[5,6,7,2,1,3,4,8] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>[5,1,2,7,3,4,8,6]=>[8,5,6,2,1,3,4,7] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>[5,1,2,7,3,8,4,6]=>[7,8,5,2,1,3,4,6] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>[5,1,2,7,3,6,4,8]=>[7,5,6,2,1,3,4,8] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>[5,1,2,7,6,3,4,8]=>[6,7,5,2,1,3,4,8] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[5,1,2,6,3,4,7,8]=>[5,6,2,3,1,4,7,8] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[5,1,2,6,3,4,8,7]=>[8,5,2,3,1,4,6,7] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[5,1,2,6,3,7,4,8]=>[7,5,2,3,1,4,6,8] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,4,3,6,7,8]=>[5,2,3,4,1,6,7,8] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>[5,1,6,2,3,4,7,8]=>[4,5,6,2,1,3,7,8] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,6,2,3,4,8,7]=>[4,8,3,7,6,5,1,2]=>[5,1,6,2,3,4,8,7]=>[8,4,5,2,1,3,6,7] [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>[5,1,6,2,3,8,4,7]=>[7,8,4,2,1,3,5,6] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[5,1,6,2,3,7,4,8]=>[7,4,5,2,1,3,6,8] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[8,6,4,2,1,3,5,7] [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,6,2,7,8,3,4]=>[4,8,3,7,2,1,6,5]=>[5,1,6,2,7,4,3,8]=>[7,6,4,2,1,3,5,8] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>[5,1,6,2,4,3,7,8]=>[6,4,5,2,1,3,7,8] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,6,7,2,3,4,8]=>[4,8,3,2,7,6,5,1]=>[5,1,6,4,2,3,7,8]=>[5,6,4,2,1,3,7,8] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[5,1,6,4,2,3,8,7]=>[8,5,4,2,1,3,6,7] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,6,7,2,8,3,4]=>[4,8,3,2,7,1,6,5]=>[5,1,6,4,2,7,3,8]=>[7,5,4,2,1,3,6,8] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,6,7,8,2,3,4]=>[4,8,3,2,1,7,6,5]=>[5,1,6,4,3,2,7,8]=>[6,5,4,2,1,3,7,8] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>[5,1,6,3,2,4,7,8]=>[5,4,6,2,1,3,7,8] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>[5,1,4,2,3,6,7,8]=>[4,5,2,3,1,6,7,8] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>[5,1,4,3,2,6,7,8]=>[5,4,2,3,1,6,7,8] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>[5,1,3,2,4,6,7,8]=>[4,2,3,5,1,6,7,8] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>[5,4,1,2,3,6,7,8]=>[3,4,5,2,1,6,7,8] [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>[5,4,1,2,3,8,6,7]=>[7,8,3,2,1,4,5,6] [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>[5,4,1,2,3,8,7,6]=>[8,7,3,2,1,4,5,6] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,6,1,2,7,3,4,8]=>[4,3,8,7,2,6,5,1]=>[5,4,1,2,7,3,6,8]=>[6,7,3,2,1,4,5,8] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>[5,4,1,2,7,3,8,6]=>[8,6,3,2,1,4,5,7] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[5,4,1,2,7,6,3,8]=>[7,6,3,2,1,4,5,8] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>[5,4,1,6,2,3,7,8]=>[5,6,3,2,1,4,7,8] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,6,1,7,2,3,8,4]=>[4,3,8,2,7,6,1,5]=>[5,4,1,6,2,3,8,7]=>[8,5,3,2,1,4,6,7] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[5,4,1,6,2,7,3,8]=>[7,5,3,2,1,4,6,8] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,1,7,8,2,3,4]=>[4,3,8,2,1,7,6,5]=>[5,4,1,6,3,2,7,8]=>[6,5,3,2,1,4,7,8] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>[5,4,1,3,2,6,7,8]=>[5,3,4,2,1,6,7,8] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[5,4,3,1,2,6,7,8]=>[4,5,3,2,1,6,7,8] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,6,7,1,2,8,3,4]=>[4,3,2,8,7,1,6,5]=>[5,4,3,1,2,7,6,8]=>[7,4,3,2,1,5,6,8] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[5,4,3,1,6,2,7,8]=>[6,4,3,2,1,5,7,8] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>[5,4,2,1,3,6,7,8]=>[4,3,5,2,1,6,7,8] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[5,3,1,2,4,6,7,8]=>[3,4,2,5,1,6,7,8] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>[5,3,1,2,4,6,8,7]=>[8,3,2,4,1,5,6,7] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,7,1,2,3,8,4,6]=>[4,2,8,7,6,1,5,3]=>[5,3,1,2,4,7,6,8]=>[7,3,2,4,1,5,6,8] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,1,8,2,3,4,6]=>[4,2,8,1,7,6,5,3]=>[5,3,1,4,2,6,7,8]=>[5,3,2,4,1,6,7,8] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>[5,3,2,1,4,6,7,8]=>[4,3,2,5,1,6,7,8] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[5,2,1,3,4,6,7,8]=>[3,2,4,5,1,6,7,8] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>[4,1,2,3,5,6,8,7]=>[8,2,3,1,4,5,6,7] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[4,1,2,3,5,8,6,7]=>[7,8,2,1,3,4,5,6] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>[4,1,2,3,5,8,7,6]=>[8,7,2,1,3,4,5,6] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[4,1,2,3,5,7,6,8]=>[7,2,3,1,4,5,6,8] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,5,8]=>[3,8,7,6,2,5,4,1]=>[4,1,2,3,7,5,6,8]=>[6,7,2,1,3,4,5,8] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>[4,1,2,3,7,5,8,6]=>[8,6,2,1,3,4,5,7] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>[4,1,2,3,7,6,5,8]=>[7,6,2,1,3,4,5,8] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[4,1,2,3,6,5,7,8]=>[6,2,3,1,4,5,7,8] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[4,1,2,6,3,5,7,8]=>[5,6,2,1,3,4,7,8] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[4,1,2,6,3,5,8,7]=>[8,5,2,1,3,4,6,7] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>[4,1,2,6,3,7,5,8]=>[7,5,2,1,3,4,6,8] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>[4,1,2,6,5,3,7,8]=>[6,5,2,1,3,4,7,8] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[4,1,2,5,3,6,7,8]=>[5,2,3,1,4,6,7,8] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[4,1,5,2,3,6,7,8]=>[4,5,2,1,3,6,7,8] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>[4,1,5,2,3,7,6,8]=>[7,4,2,1,3,5,6,8] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[4,1,5,2,6,3,7,8]=>[6,4,2,1,3,5,7,8] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[4,1,3,2,5,6,7,8]=>[4,2,3,1,5,6,7,8] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[4,3,1,2,5,6,7,8]=>[3,4,2,1,5,6,7,8] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>[4,3,1,2,5,6,8,7]=>[8,3,2,1,4,5,6,7] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>[4,3,1,2,5,7,6,8]=>[7,3,2,1,4,5,6,8] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>[4,3,1,2,6,5,7,8]=>[6,3,2,1,4,5,7,8] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[4,2,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>[3,1,2,4,5,6,8,7]=>[8,2,1,3,4,5,6,7] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>[3,1,2,4,5,7,6,8]=>[7,2,1,3,4,5,6,8] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[3,1,4,2,5,6,7,8]=>[4,2,1,3,5,6,7,8] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9]=>[2,9,8,7,6,5,4,3,1]=>[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,2,3,4,5,6,7,8]=>[9,1,8,7,6,5,4,3,2]=>[1,3,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,10]=>[2,10,9,8,7,6,5,4,3,1]=>[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,1,2,3,4,5,6,9]=>[3,2,9,8,7,6,5,4,1]=>[4,3,1,2,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,8,9,2,3,4,5,6,7]=>[9,2,1,8,7,6,5,4,3]=>[1,4,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>[10,1,9,8,7,6,5,4,3,2]=>[1,3,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[2,11,10,9,8,7,6,5,4,3,1]=>[3,1,2,4,5,6,7,8,9,10,11]=>[2,3,1,4,5,6,7,8,9,10,11] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,9,1,2,3,4,5,6,7,10]=>[3,2,10,9,8,7,6,5,4,1]=>[4,3,1,2,5,6,7,8,9,10]=>[3,4,2,1,5,6,7,8,9,10] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[6,8,1,2,3,4,5,7,9]=>[4,2,9,8,7,6,5,3,1]=>[5,3,1,2,4,6,7,8,9]=>[3,4,2,5,1,6,7,8,9] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,8,1,2,3,4,9]=>[5,4,3,2,9,8,7,6,1]=>[6,5,4,3,1,2,7,8,9]=>[5,6,4,3,2,1,7,8,9] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,3,4,5,6,7,8]=>[8,9,1,7,6,5,4,3,2]=>[9,1,3,2,4,5,6,7,8]=>[4,2,3,5,6,7,8,9,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,2,3,4,5,6,8,9]=>[3,9,8,7,6,5,4,2,1]=>[4,1,2,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,2,3,4,5,6,7,9]=>[9,2,8,7,6,5,4,3,1]=>[1,4,2,3,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,3,4,5,6,7,8]=>[9,8,1,7,6,5,4,3,2]=>[1,2,4,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,1,2,3,4,5,6,7,9,10]=>[3,10,9,8,7,6,5,4,2,1]=>[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,3,4,5,6,7,8,9]=>[10,9,1,8,7,6,5,4,3,2]=>[1,2,4,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10] []=>[]=>[]=>[]=>[] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,1,8]=>[8,7,6,5,4,3,1,9,2]=>[9,8,7,6,5,4,2,1,3]=>[8,7,9,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,9,1,7,8]=>[8,7,6,5,4,1,9,3,2]=>[9,8,7,6,5,2,1,3,4]=>[7,6,8,9,5,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,9,1,5]=>[8,7,6,4,3,2,1,9,5]=>[9,8,7,5,4,3,2,1,6]=>[8,7,6,5,4,9,3,2,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,8,1,9,3]=>[8,6,5,4,3,2,9,1,7]=>[9,7,6,5,4,3,1,8,2]=>[9,7,6,5,4,3,2,8,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,1,3]=>[8,6,5,4,3,2,1,9,7]=>[9,7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,9,1] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,1,3,4,5,6,7,8]=>[8,1,9,7,6,5,4,3,2]=>[9,2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,9,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,2]=>[7,9,6,5,4,3,2,1,8]=>[8,1,9,7,6,5,4,3,2]=>[9,8,7,6,5,4,2,1,3] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,6,1,7,8,9,2]=>[7,6,5,4,9,3,2,1,8]=>[8,7,6,5,1,9,4,3,2]=>[9,8,7,5,4,3,2,1,6] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,8,1,9,2]=>[7,6,5,4,3,2,9,1,8]=>[8,7,6,5,4,3,1,9,2]=>[9,7,6,5,4,3,2,1,8] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[7,6,5,4,3,2,1,9,8]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,9,1,2,4,5,6,7,8]=>[7,1,9,8,6,5,4,3,2]=>[8,2,1,3,4,5,6,7,9]=>[3,2,4,5,6,7,8,1,9] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>[6,5,4,3,2,1,9,8,7]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[5,4,3,2,1,9,8,7,6]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[4,3,2,1,9,8,7,6,5]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,1,9,2,3,4,5,6,8]=>[3,9,1,8,7,6,5,4,2]=>[4,1,3,2,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[3,2,1,9,8,7,6,5,4]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,9,7]=>[2,9,8,7,6,5,4,1,3]=>[3,1,2,4,5,6,7,9,8]=>[9,2,1,3,4,5,6,7,8] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1,9,2,3,4,5,6,7]=>[2,9,1,8,7,6,5,4,3]=>[3,1,4,2,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7]=>[2,1,9,8,7,6,5,4,3]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[9,8,7,6,4,3,2,1,5]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[9,8,7,5,4,3,2,1,6]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[9,8,6,5,4,3,2,1,7]=>[1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[9,7,6,5,4,3,2,1,8]=>[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,7,8]=>[9,8,7,6,5,4,1,3,2]=>[1,2,3,4,5,6,8,7,9]=>[8,1,2,3,4,5,6,7,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[10,9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,6,9,7]=>[9,8,7,6,5,2,4,1,3]=>[1,2,3,4,5,8,6,9,7]=>[9,7,1,2,3,4,5,6,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[10,9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[10,9,8,7,6,4,3,2,1,5]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[10,9,8,7,5,4,3,2,1,6]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[10,9,8,6,5,4,3,2,1,7]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[10,9,7,6,5,4,3,2,1,8]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[10,8,7,6,5,4,3,2,1,9]=>[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[9,8,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[11,10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,11,10]=>[11,1,2,3,4,5,6,7,8,9,10] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,8,9]=>[10,9,8,7,6,5,4,1,3,2]=>[1,2,3,4,5,6,7,9,8,10]=>[9,1,2,3,4,5,6,7,8,10] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,6,9,7,10,8]=>[10,9,8,7,6,5,2,4,1,3]=>[1,2,3,4,5,6,9,7,10,8]=>[10,8,1,2,3,4,5,6,7,9] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,6,7,8]=>[9,8,7,6,5,1,4,3,2]=>[1,2,3,4,5,7,6,8,9]=>[7,1,2,3,4,5,6,8,9] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,10,2]=>[8,10,7,6,5,4,3,2,1,9]=>[9,1,10,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,2,1,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>[11,9,8,7,6,5,4,3,2,1,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,3,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,7,8,9]=>[10,9,8,7,6,5,1,4,3,2]=>[1,2,3,4,5,6,8,7,9,10]=>[8,1,2,3,4,5,6,7,9,10] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,10,11,2]=>[9,11,8,7,6,5,4,3,2,1,10]=>[10,1,11,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,2,1,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,11,10,9,8,7,6,5,4,3,1,2] [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,5,6,7,8]=>[9,8,7,6,1,5,4,3,2]=>[1,2,3,4,6,5,7,8,9]=>[6,1,2,3,4,5,7,8,9] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,10,11,12,2]=>[10,12,9,8,7,6,5,4,3,2,1,11]=>[11,1,12,10,9,8,7,6,5,4,3,2]=>[12,11,10,9,8,7,6,5,4,2,1,3] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,6,7,8,9]=>[10,9,8,7,6,1,5,4,3,2]=>[1,2,3,4,5,7,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,9,2,3]=>[9,6,5,4,3,2,1,8,7]=>[1,8,7,6,5,4,3,2,9]=>[8,7,6,5,4,3,1,2,9] [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,4,5,6,7,8]=>[9,8,7,1,6,5,4,3,2]=>[1,2,3,5,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9] [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,5,6,7,8,9]=>[10,9,8,7,1,6,5,4,3,2]=>[1,2,3,4,6,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,9,10,2,3]=>[10,7,6,5,4,3,2,1,9,8]=>[1,9,8,7,6,5,4,3,2,10]=>[9,8,7,6,5,4,3,1,2,10] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,8,9,1,10,2]=>[8,7,6,5,4,3,2,10,1,9]=>[9,8,7,6,5,4,3,1,10,2]=>[10,8,7,6,5,4,3,2,1,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,9,7,8]=>[8,9,1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[9,8,7,6,5,3,4,2,1]=>[1,2,3,4,5,9,6,7,8]=>[7,8,9,1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,9,6,8,7]=>[9,7,8,1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[9,8,7,6,4,5,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[6,7,8,9,1,2,3,4,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[9,8,7,5,6,4,3,2,1]=>[1,2,3,9,4,5,6,7,8]=>[5,6,7,8,9,1,2,3,4] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[9,7,8,6,5,4,3,2,1]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,1,2] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[9,7,8,6,5,4,3,1,2]=>[1,9,2,3,4,5,6,8,7]=>[9,3,4,5,6,7,8,1,2] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,6,9,7,8]=>[9,7,8,6,5,4,1,3,2]=>[1,9,2,3,4,5,7,6,8]=>[8,3,4,5,6,7,9,1,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]=>[9,1,2,3,4,5,6,8,7]=>[9,2,3,4,5,6,7,8,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[8,9,7,6,5,4,2,3,1]=>[9,1,2,3,4,5,8,6,7]=>[8,9,2,3,4,5,6,7,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,6,9,7,8]=>[8,9,7,6,5,4,1,3,2]=>[9,1,2,3,4,5,7,6,8]=>[8,2,3,4,5,6,7,9,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[8,9,6,7,5,4,3,2,1]=>[9,1,8,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[8,9,6,7,4,5,2,3,1]=>[9,1,8,2,7,3,6,4,5]=>[8,9,6,7,4,5,2,3,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8,9]=>[7,9,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7,8,9]=>[6,9,8,7,5,4,3,2,1]=>[7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,7,1,8,9] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8,9]=>[5,9,8,7,6,4,3,2,1]=>[6,1,2,3,4,5,7,8,9]=>[2,3,4,5,6,1,7,8,9] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,2,3,4,5,7,8,9]=>[4,9,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[10,9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,10,8,9]=>[9,10,1,2,3,4,5,6,7,8] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[6,7,8,9,10,1,2,3,4,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[5,6,7,8,9,10,1,2,3,4] [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,4,5,6,7,8,9]=>[10,9,8,1,7,6,5,4,3,2]=>[1,2,3,5,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[10,8,9,7,6,5,4,3,2,1]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,1,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[9,10,8,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,1,2]=>[10,1,2,3,4,5,6,7,9,8]=>[10,2,3,4,5,6,7,8,9,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9,10]=>[9,10,7,8,5,6,4,3,2,1]=>[10,1,9,2,8,3,4,5,6,7]=>[6,7,8,9,10,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[10,1,9,2,8,3,7,4,6,5]=>[10,8,9,6,7,4,5,2,3,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8,9,10]=>[8,10,9,7,6,5,4,3,2,1]=>[9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7,8,9,10]=>[7,10,9,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8,9,10]=>[6,10,9,8,7,5,4,3,2,1]=>[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,1,2,3,4,5,7,8,9,10]=>[5,10,9,8,7,6,4,3,2,1]=>[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,1,2,3,4,5,6,8,9,10]=>[4,10,9,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[8,7,9,6,5,4,3,2,1]=>[9,8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,9,2,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[8,7,6,9,5,4,3,2,1]=>[9,8,7,1,2,3,4,5,6]=>[4,5,6,7,8,9,3,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[8,7,6,5,9,4,3,2,1]=>[9,8,7,6,1,2,3,4,5]=>[5,6,7,8,9,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[8,7,6,5,4,9,3,2,1]=>[9,8,7,6,5,1,2,3,4]=>[6,7,8,9,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[8,7,6,5,4,3,9,2,1]=>[9,8,7,6,5,4,1,2,3]=>[7,8,9,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[8,7,6,5,4,3,2,9,1]=>[9,8,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,2,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[9,8,10,7,6,5,4,3,2,1]=>[10,9,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,10,2,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7,8,9]=>[8,6,9,7,5,4,3,2,1]=>[9,7,1,2,3,4,5,6,8]=>[3,4,5,6,7,8,2,9,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]=>[9,8,7,10,6,5,4,3,2,1]=>[10,9,8,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,10,3,2,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,5,1,4,6,7,8,9]=>[8,7,5,9,6,4,3,2,1]=>[9,8,6,1,2,3,4,5,7]=>[4,5,6,7,8,3,9,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]=>[9,8,7,6,10,5,4,3,2,1]=>[10,9,8,7,1,2,3,4,5,6]=>[5,6,7,8,9,10,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,4,6,1,5,7,8,9]=>[8,7,6,4,9,5,3,2,1]=>[9,8,7,5,1,2,3,4,6]=>[5,6,7,8,4,9,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]=>[9,8,7,6,5,10,4,3,2,1]=>[10,9,8,7,6,1,2,3,4,5]=>[6,7,8,9,10,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,5,7,1,6,8,9]=>[8,7,6,5,3,9,4,2,1]=>[9,8,7,6,4,1,2,3,5]=>[6,7,8,5,9,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]=>[9,8,7,6,5,4,10,3,2,1]=>[10,9,8,7,6,5,1,2,3,4]=>[7,8,9,10,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,8,1,7,9]=>[8,7,6,5,4,2,9,3,1]=>[9,8,7,6,5,3,1,2,4]=>[7,8,6,9,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]=>[9,8,7,6,5,4,3,10,2,1]=>[10,9,8,7,6,5,4,1,2,3]=>[8,9,10,7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,8,7,6,5,4,3,2,10,1]=>[10,9,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,2,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[10,11,9,8,7,6,5,4,3,2,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[8,9,7,6,5,4,2,1,3]=>[9,1,2,3,4,5,8,7,6]=>[9,8,2,3,4,5,6,7,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,1,9]=>[9,8,7,6,5,4,3,1,10,2]=>[10,9,8,7,6,5,4,2,1,3]=>[9,8,10,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1,10,2,3,4,5,6,7,8]=>[2,10,1,9,8,7,6,5,4,3]=>[3,1,4,2,5,6,7,8,9,10]=>[4,2,1,3,5,6,7,8,9,10] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,8,1,2,9]=>[7,6,5,4,3,2,9,8,1]=>[8,7,6,5,4,3,1,2,9]=>[7,8,6,5,4,3,2,1,9] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>[9,1,10,8,7,6,5,4,3,2]=>[10,2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,10,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,2,3,4,7,5,8,9]=>[4,9,8,7,6,3,5,2,1]=>[5,1,2,3,4,9,6,7,8]=>[7,8,9,2,1,3,4,5,6] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9]=>[7,9,6,8,5,4,3,2,1]=>[8,1,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,1,3] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[2,1,10,9,8,7,6,5,4,3]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,10,1,2,4,5,6,7,8,9]=>[8,1,10,9,7,6,5,4,3,2]=>[9,2,1,3,4,5,6,7,8,10]=>[3,2,4,5,6,7,8,9,1,10] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,7,8,1,3,9]=>[8,6,5,4,3,2,9,7,1]=>[9,7,6,5,4,3,1,2,8]=>[7,8,6,5,4,3,2,9,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,10,1,3]=>[9,7,6,5,4,3,2,1,10,8]=>[10,8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,10,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,9,2,8]=>[9,7,6,5,4,3,1,8,2]=>[1,9,8,7,6,5,3,2,4]=>[8,7,9,6,5,4,3,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[8,7,6,5,4,3,9,1,2]=>[9,8,7,6,5,4,1,3,2]=>[9,7,8,6,5,4,3,2,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[8,9,6,5,4,3,2,1,7]=>[9,1,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,2,3,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[7,6,5,4,3,2,1,10,9,8]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,5,7,8,9,10,1,6]=>[9,8,7,6,4,3,2,1,10,5]=>[10,9,8,7,5,4,3,2,1,6]=>[9,8,7,6,5,10,4,3,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[8,7,6,5,4,3,2,1,10,9]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,11,1,2]=>[9,8,7,6,5,4,3,2,1,11,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,1,10,2,3,4,5,6,7,9]=>[3,10,1,9,8,7,6,5,4,2]=>[4,1,3,2,5,6,7,8,9,10]=>[4,2,3,1,5,6,7,8,9,10] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,8,9,1,2,10]=>[8,7,6,5,4,3,2,10,9,1]=>[9,8,7,6,5,4,3,1,2,10]=>[8,9,7,6,5,4,3,2,1,10] [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,11,1,3,4,5,6,7,8,9,10]=>[10,1,11,9,8,7,6,5,4,3,2]=>[11,2,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,11,1] [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[2,12,1,3,4,5,6,7,8,9,10,11]=>[11,1,12,10,9,8,7,6,5,4,3,2]=>[12,2,1,3,4,5,6,7,8,9,10,11]=>[3,2,4,5,6,7,8,9,10,11,12,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10,11]=>[10,9,11,8,7,6,5,4,3,2,1]=>[11,10,1,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,11,2,1] [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,3,5,9,4,6,7,8]=>[9,8,7,5,1,6,4,3,2]=>[1,2,3,9,5,4,6,7,8]=>[6,5,7,8,9,1,2,3,4] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,6,8]=>[9,8,7,6,5,3,1,4,2]=>[1,2,3,4,5,9,7,6,8]=>[8,7,9,1,2,3,4,5,6] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>[6,5,4,3,2,1,10,9,8,7]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,10,3]=>[9,10,7,6,5,4,3,2,1,8]=>[10,1,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,2,3,1] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[3,2,1,10,9,8,7,6,5,4]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,7,8,10,1,2,9]=>[8,7,6,5,4,3,1,10,9,2]=>[9,8,7,6,5,4,2,1,3,10]=>[8,7,9,6,5,4,3,2,1,10] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[4,3,2,1,10,9,8,7,6,5]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,10,9,8,7,6,5,4,3,1,2]=>[10,11,9,8,7,6,5,4,3,2,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,2,9]=>[9,7,6,5,4,3,2,8,1]=>[1,9,8,7,6,5,4,2,3]=>[8,9,7,6,5,4,3,1,2] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10,11]=>[11,9,10,8,7,6,5,4,3,2,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,1,2] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,9,2,4]=>[9,7,5,4,3,2,1,8,6]=>[1,9,7,6,5,4,3,2,8]=>[8,7,6,5,4,3,9,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,9,2,10]=>[10,8,7,6,5,4,3,2,9,1]=>[1,10,9,8,7,6,5,4,2,3]=>[9,10,8,7,6,5,4,3,1,2] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,4,5,8,6,9,7,10]=>[10,9,8,7,6,3,5,2,4,1]=>[1,2,3,4,5,9,6,10,7,8]=>[9,10,7,1,2,3,4,5,6,8] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,9,4]=>[9,7,8,5,4,3,2,1,6]=>[1,9,2,8,7,6,5,4,3]=>[9,8,7,6,5,3,4,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,7,2,8,9]=>[9,7,6,5,4,3,8,2,1]=>[1,9,8,7,6,5,2,3,4]=>[7,8,9,6,5,4,3,1,2] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,9,10,12,1,11]=>[11,10,9,8,7,6,5,4,3,1,12,2]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[11,10,12,9,8,7,6,5,4,3,2,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8,9,10,11]=>[9,11,10,8,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,7,8,9,11]=>[2,3,4,5,6,7,8,9,10,1,11] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[6,1,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]=>[10,8,6,4,2,1,3,5,7,9] [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[12,10,8,6,4,2,1,3,5,7,9,11] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,6,2,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,2,6,1]=>[1,7,2,8,3,9,4,10,5,6]=>[9,10,7,5,3,1,2,4,6,8] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,2,7,3,8,4,9,5,10,6]=>[10,9,4,8,3,7,2,6,1,5]=>[1,2,7,3,8,4,9,5,10,6]=>[10,8,6,4,1,2,3,5,7,9] [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]=>[10,8,6,4,2,1,3,5,7,9]=>[6,5,7,4,8,3,9,2,10,1] [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>[12,10,8,6,4,2,1,3,5,7,9,11]=>[7,6,8,5,9,4,10,3,11,2,12,1] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,6,2,7,3,8,4,9,5]=>[9,4,8,3,7,2,6,1,5]=>[1,6,2,7,3,8,4,9,5]=>[9,7,5,3,1,2,4,6,8]
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
Draw the path of semilength $n$ in an $n\times n$ square matrix, starting at the upper left corner, with right and down steps, and staying below the diagonal. Then the permutation matrix is obtained by placing ones into the cells corresponding to the peaks of the path and placing ones into the remaining columns from left to right, such that the row indices of the cells increase.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
Lehmer code rotation
Description
Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.
Map
Lehmer-code to major-code bijection
Description
Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.