Identifier
Mp00237: Permutations descent views to invisible inversion bottomsPermutations
Mp00252: Permutations restrictionPermutations
Mp00114: Permutations connectivity setBinary words
Images
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[1,2]=>[1,2]=>[1]=> [2,1]=>[2,1]=>[1]=> [1,2,3]=>[1,2,3]=>[1,2]=>1 [1,3,2]=>[1,3,2]=>[1,2]=>1 [2,1,3]=>[2,1,3]=>[2,1]=>0 [2,3,1]=>[3,2,1]=>[2,1]=>0 [3,1,2]=>[3,1,2]=>[1,2]=>1 [3,2,1]=>[2,3,1]=>[2,1]=>0 [1,2,3,4]=>[1,2,3,4]=>[1,2,3]=>11 [1,2,4,3]=>[1,2,4,3]=>[1,2,3]=>11 [1,3,2,4]=>[1,3,2,4]=>[1,3,2]=>10 [1,3,4,2]=>[1,4,3,2]=>[1,3,2]=>10 [1,4,2,3]=>[1,4,2,3]=>[1,2,3]=>11 [1,4,3,2]=>[1,3,4,2]=>[1,3,2]=>10 [2,1,3,4]=>[2,1,3,4]=>[2,1,3]=>01 [2,1,4,3]=>[2,1,4,3]=>[2,1,3]=>01 [2,3,1,4]=>[3,2,1,4]=>[3,2,1]=>00 [2,3,4,1]=>[4,2,3,1]=>[2,3,1]=>00 [2,4,1,3]=>[4,2,1,3]=>[2,1,3]=>01 [2,4,3,1]=>[3,2,4,1]=>[3,2,1]=>00 [3,1,2,4]=>[3,1,2,4]=>[3,1,2]=>00 [3,1,4,2]=>[3,4,1,2]=>[3,1,2]=>00 [3,2,1,4]=>[2,3,1,4]=>[2,3,1]=>00 [3,2,4,1]=>[4,3,2,1]=>[3,2,1]=>00 [3,4,1,2]=>[4,1,3,2]=>[1,3,2]=>10 [3,4,2,1]=>[2,4,3,1]=>[2,3,1]=>00 [4,1,2,3]=>[4,1,2,3]=>[1,2,3]=>11 [4,1,3,2]=>[4,3,1,2]=>[3,1,2]=>00 [4,2,1,3]=>[2,4,1,3]=>[2,1,3]=>01 [4,2,3,1]=>[3,4,2,1]=>[3,2,1]=>00 [4,3,1,2]=>[3,1,4,2]=>[3,1,2]=>00 [4,3,2,1]=>[2,3,4,1]=>[2,3,1]=>00 [1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4]=>111 [1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,4]=>111 [1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3]=>110 [1,2,4,5,3]=>[1,2,5,4,3]=>[1,2,4,3]=>110 [1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,3,4]=>111 [1,2,5,4,3]=>[1,2,4,5,3]=>[1,2,4,3]=>110 [1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4]=>101 [1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,4]=>101 [1,3,4,2,5]=>[1,4,3,2,5]=>[1,4,3,2]=>100 [1,3,4,5,2]=>[1,5,3,4,2]=>[1,3,4,2]=>100 [1,3,5,2,4]=>[1,5,3,2,4]=>[1,3,2,4]=>101 [1,3,5,4,2]=>[1,4,3,5,2]=>[1,4,3,2]=>100 [1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3]=>100 [1,4,2,5,3]=>[1,4,5,2,3]=>[1,4,2,3]=>100 [1,4,3,2,5]=>[1,3,4,2,5]=>[1,3,4,2]=>100 [1,4,3,5,2]=>[1,5,4,3,2]=>[1,4,3,2]=>100 [1,4,5,2,3]=>[1,5,2,4,3]=>[1,2,4,3]=>110 [1,4,5,3,2]=>[1,3,5,4,2]=>[1,3,4,2]=>100 [1,5,2,3,4]=>[1,5,2,3,4]=>[1,2,3,4]=>111 [1,5,2,4,3]=>[1,5,4,2,3]=>[1,4,2,3]=>100 [1,5,3,2,4]=>[1,3,5,2,4]=>[1,3,2,4]=>101 [1,5,3,4,2]=>[1,4,5,3,2]=>[1,4,3,2]=>100 [1,5,4,2,3]=>[1,4,2,5,3]=>[1,4,2,3]=>100 [1,5,4,3,2]=>[1,3,4,5,2]=>[1,3,4,2]=>100 [2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4]=>011 [2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,4]=>011 [2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3]=>010 [2,1,4,5,3]=>[2,1,5,4,3]=>[2,1,4,3]=>010 [2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,3,4]=>011 [2,1,5,4,3]=>[2,1,4,5,3]=>[2,1,4,3]=>010 [2,3,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4]=>001 [2,3,1,5,4]=>[3,2,1,5,4]=>[3,2,1,4]=>001 [2,3,4,1,5]=>[4,2,3,1,5]=>[4,2,3,1]=>000 [2,3,4,5,1]=>[5,2,3,4,1]=>[2,3,4,1]=>000 [2,3,5,1,4]=>[5,2,3,1,4]=>[2,3,1,4]=>001 [2,3,5,4,1]=>[4,2,3,5,1]=>[4,2,3,1]=>000 [2,4,1,3,5]=>[4,2,1,3,5]=>[4,2,1,3]=>000 [2,4,1,5,3]=>[4,2,5,1,3]=>[4,2,1,3]=>000 [2,4,3,1,5]=>[3,2,4,1,5]=>[3,2,4,1]=>000 [2,4,3,5,1]=>[5,2,4,3,1]=>[2,4,3,1]=>000 [2,4,5,1,3]=>[5,2,1,4,3]=>[2,1,4,3]=>010 [2,4,5,3,1]=>[3,2,5,4,1]=>[3,2,4,1]=>000 [2,5,1,3,4]=>[5,2,1,3,4]=>[2,1,3,4]=>011 [2,5,1,4,3]=>[5,2,4,1,3]=>[2,4,1,3]=>000 [2,5,3,1,4]=>[3,2,5,1,4]=>[3,2,1,4]=>001 [2,5,3,4,1]=>[4,2,5,3,1]=>[4,2,3,1]=>000 [2,5,4,1,3]=>[4,2,1,5,3]=>[4,2,1,3]=>000 [2,5,4,3,1]=>[3,2,4,5,1]=>[3,2,4,1]=>000 [3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4]=>001 [3,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,4]=>001 [3,1,4,2,5]=>[3,4,1,2,5]=>[3,4,1,2]=>000 [3,1,4,5,2]=>[3,5,1,4,2]=>[3,1,4,2]=>000 [3,1,5,2,4]=>[3,5,1,2,4]=>[3,1,2,4]=>001 [3,1,5,4,2]=>[3,4,1,5,2]=>[3,4,1,2]=>000 [3,2,1,4,5]=>[2,3,1,4,5]=>[2,3,1,4]=>001 [3,2,1,5,4]=>[2,3,1,5,4]=>[2,3,1,4]=>001 [3,2,4,1,5]=>[4,3,2,1,5]=>[4,3,2,1]=>000 [3,2,4,5,1]=>[5,3,2,4,1]=>[3,2,4,1]=>000 [3,2,5,1,4]=>[5,3,2,1,4]=>[3,2,1,4]=>001 [3,2,5,4,1]=>[4,3,2,5,1]=>[4,3,2,1]=>000 [3,4,1,2,5]=>[4,1,3,2,5]=>[4,1,3,2]=>000 [3,4,1,5,2]=>[4,5,3,1,2]=>[4,3,1,2]=>000 [3,4,2,1,5]=>[2,4,3,1,5]=>[2,4,3,1]=>000 [3,4,2,5,1]=>[5,4,3,2,1]=>[4,3,2,1]=>000 [3,4,5,1,2]=>[5,1,3,4,2]=>[1,3,4,2]=>100 [3,4,5,2,1]=>[2,5,3,4,1]=>[2,3,4,1]=>000 [3,5,1,2,4]=>[5,1,3,2,4]=>[1,3,2,4]=>101 [3,5,1,4,2]=>[5,4,3,1,2]=>[4,3,1,2]=>000 [3,5,2,1,4]=>[2,5,3,1,4]=>[2,3,1,4]=>001 [3,5,2,4,1]=>[4,5,3,2,1]=>[4,3,2,1]=>000 [3,5,4,1,2]=>[4,1,3,5,2]=>[4,1,3,2]=>000 [3,5,4,2,1]=>[2,4,3,5,1]=>[2,4,3,1]=>000 [4,1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3]=>000 [4,1,2,5,3]=>[4,1,5,2,3]=>[4,1,2,3]=>000 [4,1,3,2,5]=>[4,3,1,2,5]=>[4,3,1,2]=>000 [4,1,3,5,2]=>[4,5,1,3,2]=>[4,1,3,2]=>000 [4,1,5,2,3]=>[4,5,2,1,3]=>[4,2,1,3]=>000 [4,1,5,3,2]=>[4,3,5,1,2]=>[4,3,1,2]=>000 [4,2,1,3,5]=>[2,4,1,3,5]=>[2,4,1,3]=>000 [4,2,1,5,3]=>[2,4,5,1,3]=>[2,4,1,3]=>000 [4,2,3,1,5]=>[3,4,2,1,5]=>[3,4,2,1]=>000 [4,2,3,5,1]=>[5,4,2,3,1]=>[4,2,3,1]=>000 [4,2,5,1,3]=>[5,4,1,2,3]=>[4,1,2,3]=>000 [4,2,5,3,1]=>[3,5,4,1,2]=>[3,4,1,2]=>000 [4,3,1,2,5]=>[3,1,4,2,5]=>[3,1,4,2]=>000 [4,3,1,5,2]=>[3,4,5,2,1]=>[3,4,2,1]=>000 [4,3,2,1,5]=>[2,3,4,1,5]=>[2,3,4,1]=>000 [4,3,2,5,1]=>[5,3,4,2,1]=>[3,4,2,1]=>000 [4,3,5,1,2]=>[5,1,4,3,2]=>[1,4,3,2]=>100 [4,3,5,2,1]=>[2,5,4,3,1]=>[2,4,3,1]=>000 [4,5,1,2,3]=>[5,1,2,4,3]=>[1,2,4,3]=>110 [4,5,1,3,2]=>[5,3,1,4,2]=>[3,1,4,2]=>000 [4,5,2,1,3]=>[2,5,1,4,3]=>[2,1,4,3]=>010 [4,5,2,3,1]=>[3,5,2,4,1]=>[3,2,4,1]=>000 [4,5,3,1,2]=>[3,1,5,4,2]=>[3,1,4,2]=>000 [4,5,3,2,1]=>[2,3,5,4,1]=>[2,3,4,1]=>000 [5,1,2,3,4]=>[5,1,2,3,4]=>[1,2,3,4]=>111 [5,1,2,4,3]=>[5,1,4,2,3]=>[1,4,2,3]=>100 [5,1,3,2,4]=>[5,3,1,2,4]=>[3,1,2,4]=>001 [5,1,3,4,2]=>[5,4,1,3,2]=>[4,1,3,2]=>000 [5,1,4,2,3]=>[5,4,2,1,3]=>[4,2,1,3]=>000 [5,1,4,3,2]=>[5,3,4,1,2]=>[3,4,1,2]=>000 [5,2,1,3,4]=>[2,5,1,3,4]=>[2,1,3,4]=>011 [5,2,1,4,3]=>[2,5,4,1,3]=>[2,4,1,3]=>000 [5,2,3,1,4]=>[3,5,2,1,4]=>[3,2,1,4]=>001 [5,2,3,4,1]=>[4,5,2,3,1]=>[4,2,3,1]=>000 [5,2,4,1,3]=>[4,5,1,2,3]=>[4,1,2,3]=>000 [5,2,4,3,1]=>[3,4,5,1,2]=>[3,4,1,2]=>000 [5,3,1,2,4]=>[3,1,5,2,4]=>[3,1,2,4]=>001 [5,3,1,4,2]=>[3,5,4,2,1]=>[3,4,2,1]=>000 [5,3,2,1,4]=>[2,3,5,1,4]=>[2,3,1,4]=>001 [5,3,2,4,1]=>[4,3,5,2,1]=>[4,3,2,1]=>000 [5,3,4,1,2]=>[4,1,5,3,2]=>[4,1,3,2]=>000 [5,3,4,2,1]=>[2,4,5,3,1]=>[2,4,3,1]=>000 [5,4,1,2,3]=>[4,1,2,5,3]=>[4,1,2,3]=>000 [5,4,1,3,2]=>[4,3,1,5,2]=>[4,3,1,2]=>000 [5,4,2,1,3]=>[2,4,1,5,3]=>[2,4,1,3]=>000 [5,4,2,3,1]=>[3,4,2,5,1]=>[3,4,2,1]=>000 [5,4,3,1,2]=>[3,1,4,5,2]=>[3,1,4,2]=>000 [5,4,3,2,1]=>[2,3,4,5,1]=>[2,3,4,1]=>000 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>1111 [1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>1111 [1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>1110 [1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>1110 [1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>1111 [1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>1110 [1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>1101 [1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,5]=>1101 [1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>1100 [1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>1100 [1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>1101 [1,2,4,6,5,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>1100 [1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>1100 [1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[1,2,5,3,4]=>1100 [1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>1100 [1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[1,2,5,4,3]=>1100 [1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>1110 [1,2,5,6,4,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>1100 [1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,4,5]=>1111 [1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[1,2,5,3,4]=>1100 [1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[1,2,4,3,5]=>1101 [1,2,6,4,5,3]=>[1,2,5,6,4,3]=>[1,2,5,4,3]=>1100 [1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[1,2,5,3,4]=>1100 [1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[1,2,4,5,3]=>1100 [1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>1011 [1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,5]=>1011 [1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4]=>1010 [1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[1,3,2,5,4]=>1010 [1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,4,5]=>1011 [1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[1,3,2,5,4]=>1010 [1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>1001 [1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,5]=>1001 [1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>1000 [1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>1000 [1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>1001 [1,3,4,6,5,2]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>1000 [1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>1000 [1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[1,5,3,2,4]=>1000 [1,3,5,4,2,6]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>1000 [1,3,5,4,6,2]=>[1,6,3,5,4,2]=>[1,3,5,4,2]=>1000 [1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>1010 [1,3,5,6,4,2]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>1000 [1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[1,3,2,4,5]=>1011 [1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[1,3,5,2,4]=>1000 [1,3,6,4,2,5]=>[1,4,3,6,2,5]=>[1,4,3,2,5]=>1001 [1,3,6,4,5,2]=>[1,5,3,6,4,2]=>[1,5,3,4,2]=>1000 [1,3,6,5,2,4]=>[1,5,3,2,6,4]=>[1,5,3,2,4]=>1000 [1,3,6,5,4,2]=>[1,4,3,5,6,2]=>[1,4,3,5,2]=>1000 [1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>1001 [1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,5]=>1001 [1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[1,4,5,2,3]=>1000 [1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[1,4,2,5,3]=>1000 [1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[1,4,2,3,5]=>1001 [1,4,2,6,5,3]=>[1,4,5,2,6,3]=>[1,4,5,2,3]=>1000 [1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>1001 [1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[1,3,4,2,5]=>1001 [1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2]=>1000 [1,4,3,5,6,2]=>[1,6,4,3,5,2]=>[1,4,3,5,2]=>1000 [1,4,3,6,2,5]=>[1,6,4,3,2,5]=>[1,4,3,2,5]=>1001 [1,4,3,6,5,2]=>[1,5,4,3,6,2]=>[1,5,4,3,2]=>1000 [1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>1000 [1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[1,5,4,2,3]=>1000 [1,4,5,3,2,6]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>1000 [1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>1000 [1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>1100 [1,4,5,6,3,2]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>1000 [1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[1,2,4,3,5]=>1101 [1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[1,5,4,2,3]=>1000 [1,4,6,3,2,5]=>[1,3,6,4,2,5]=>[1,3,4,2,5]=>1001 [1,4,6,3,5,2]=>[1,5,6,4,3,2]=>[1,5,4,3,2]=>1000 [1,4,6,5,2,3]=>[1,5,2,4,6,3]=>[1,5,2,4,3]=>1000 [1,4,6,5,3,2]=>[1,3,5,4,6,2]=>[1,3,5,4,2]=>1000 [1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4]=>1000 [1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[1,5,2,3,4]=>1000 [1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[1,5,4,2,3]=>1000 [1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[1,5,2,4,3]=>1000 [1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[1,5,3,2,4]=>1000 [1,5,2,6,4,3]=>[1,5,4,6,2,3]=>[1,5,4,2,3]=>1000 [1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[1,3,5,2,4]=>1000 [1,5,3,2,6,4]=>[1,3,5,6,2,4]=>[1,3,5,2,4]=>1000 [1,5,3,4,2,6]=>[1,4,5,3,2,6]=>[1,4,5,3,2]=>1000 [1,5,3,4,6,2]=>[1,6,5,3,4,2]=>[1,5,3,4,2]=>1000 [1,5,3,6,2,4]=>[1,6,5,2,3,4]=>[1,5,2,3,4]=>1000 [1,5,3,6,4,2]=>[1,4,6,5,2,3]=>[1,4,5,2,3]=>1000 [1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[1,4,2,5,3]=>1000 [1,5,4,2,6,3]=>[1,4,5,6,3,2]=>[1,4,5,3,2]=>1000 [1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[1,3,4,5,2]=>1000 [1,5,4,3,6,2]=>[1,6,4,5,3,2]=>[1,4,5,3,2]=>1000 [1,5,4,6,2,3]=>[1,6,2,5,4,3]=>[1,2,5,4,3]=>1100 [1,5,4,6,3,2]=>[1,3,6,5,4,2]=>[1,3,5,4,2]=>1000 [1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[1,2,3,5,4]=>1110 [1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[1,4,2,5,3]=>1000 [1,5,6,3,2,4]=>[1,3,6,2,5,4]=>[1,3,2,5,4]=>1010 [1,5,6,3,4,2]=>[1,4,6,3,5,2]=>[1,4,3,5,2]=>1000 [1,5,6,4,2,3]=>[1,4,2,6,5,3]=>[1,4,2,5,3]=>1000 [1,5,6,4,3,2]=>[1,3,4,6,5,2]=>[1,3,4,5,2]=>1000 [1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,2,3,4,5]=>1111 [1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[1,2,5,3,4]=>1100 [1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[1,4,2,3,5]=>1001 [1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[1,5,2,4,3]=>1000 [1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[1,5,3,2,4]=>1000 [1,6,2,5,4,3]=>[1,6,4,5,2,3]=>[1,4,5,2,3]=>1000 [1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[1,3,2,4,5]=>1011 [1,6,3,2,5,4]=>[1,3,6,5,2,4]=>[1,3,5,2,4]=>1000 [1,6,3,4,2,5]=>[1,4,6,3,2,5]=>[1,4,3,2,5]=>1001 [1,6,3,4,5,2]=>[1,5,6,3,4,2]=>[1,5,3,4,2]=>1000 [1,6,3,5,2,4]=>[1,5,6,2,3,4]=>[1,5,2,3,4]=>1000 [1,6,3,5,4,2]=>[1,4,5,6,2,3]=>[1,4,5,2,3]=>1000 [1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[1,4,2,3,5]=>1001 [1,6,4,2,5,3]=>[1,4,6,5,3,2]=>[1,4,5,3,2]=>1000 [1,6,4,3,2,5]=>[1,3,4,6,2,5]=>[1,3,4,2,5]=>1001 [1,6,4,3,5,2]=>[1,5,4,6,3,2]=>[1,5,4,3,2]=>1000 [1,6,4,5,2,3]=>[1,5,2,6,4,3]=>[1,5,2,4,3]=>1000 [1,6,4,5,3,2]=>[1,3,5,6,4,2]=>[1,3,5,4,2]=>1000 [1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[1,5,2,3,4]=>1000 [1,6,5,2,4,3]=>[1,5,4,2,6,3]=>[1,5,4,2,3]=>1000 [1,6,5,3,2,4]=>[1,3,5,2,6,4]=>[1,3,5,2,4]=>1000 [1,6,5,3,4,2]=>[1,4,5,3,6,2]=>[1,4,5,3,2]=>1000 [1,6,5,4,2,3]=>[1,4,2,5,6,3]=>[1,4,2,5,3]=>1000 [1,6,5,4,3,2]=>[1,3,4,5,6,2]=>[1,3,4,5,2]=>1000 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>0111 [2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,5]=>0111 [2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4]=>0110 [2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[2,1,3,5,4]=>0110 [2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[2,1,3,4,5]=>0111 [2,1,3,6,5,4]=>[2,1,3,5,6,4]=>[2,1,3,5,4]=>0110 [2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5]=>0101 [2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,5]=>0101 [2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3]=>0100 [2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[2,1,4,5,3]=>0100 [2,1,4,6,3,5]=>[2,1,6,4,3,5]=>[2,1,4,3,5]=>0101 [2,1,4,6,5,3]=>[2,1,5,4,6,3]=>[2,1,5,4,3]=>0100 [2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[2,1,5,3,4]=>0100 [2,1,5,3,6,4]=>[2,1,5,6,3,4]=>[2,1,5,3,4]=>0100 [2,1,5,4,3,6]=>[2,1,4,5,3,6]=>[2,1,4,5,3]=>0100 [2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[2,1,5,4,3]=>0100 [2,1,5,6,3,4]=>[2,1,6,3,5,4]=>[2,1,3,5,4]=>0110 [2,1,5,6,4,3]=>[2,1,4,6,5,3]=>[2,1,4,5,3]=>0100 [2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[2,1,3,4,5]=>0111 [2,1,6,3,5,4]=>[2,1,6,5,3,4]=>[2,1,5,3,4]=>0100 [2,1,6,4,3,5]=>[2,1,4,6,3,5]=>[2,1,4,3,5]=>0101 [2,1,6,4,5,3]=>[2,1,5,6,4,3]=>[2,1,5,4,3]=>0100 [2,1,6,5,3,4]=>[2,1,5,3,6,4]=>[2,1,5,3,4]=>0100 [2,1,6,5,4,3]=>[2,1,4,5,6,3]=>[2,1,4,5,3]=>0100 [2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>0011 [2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,5]=>0011 [2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4]=>0010 [2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>0010 [2,3,1,6,4,5]=>[3,2,1,6,4,5]=>[3,2,1,4,5]=>0011 [2,3,1,6,5,4]=>[3,2,1,5,6,4]=>[3,2,1,5,4]=>0010 [2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>0001 [2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[4,2,3,1,5]=>0001 [2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>0000 [2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>0000 [2,3,4,6,1,5]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>0001 [2,3,4,6,5,1]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>0000 [2,3,5,1,4,6]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>0000 [2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[5,2,3,1,4]=>0000 [2,3,5,4,1,6]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>0000 [2,3,5,4,6,1]=>[6,2,3,5,4,1]=>[2,3,5,4,1]=>0000 [2,3,5,6,1,4]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>0010 [2,3,5,6,4,1]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>0000 [2,3,6,1,4,5]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>0011 [2,3,6,1,5,4]=>[6,2,3,5,1,4]=>[2,3,5,1,4]=>0000 [2,3,6,4,1,5]=>[4,2,3,6,1,5]=>[4,2,3,1,5]=>0001 [2,3,6,4,5,1]=>[5,2,3,6,4,1]=>[5,2,3,4,1]=>0000 [2,3,6,5,1,4]=>[5,2,3,1,6,4]=>[5,2,3,1,4]=>0000 [2,3,6,5,4,1]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>0000 [2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>0001 [2,4,1,3,6,5]=>[4,2,1,3,6,5]=>[4,2,1,3,5]=>0001 [2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[4,2,5,1,3]=>0000 [2,4,1,5,6,3]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>0000 [2,4,1,6,3,5]=>[4,2,6,1,3,5]=>[4,2,1,3,5]=>0001 [2,4,1,6,5,3]=>[4,2,5,1,6,3]=>[4,2,5,1,3]=>0000 [2,4,3,1,5,6]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>0001 [2,4,3,1,6,5]=>[3,2,4,1,6,5]=>[3,2,4,1,5]=>0001 [2,4,3,5,1,6]=>[5,2,4,3,1,6]=>[5,2,4,3,1]=>0000 [2,4,3,5,6,1]=>[6,2,4,3,5,1]=>[2,4,3,5,1]=>0000 [2,4,3,6,1,5]=>[6,2,4,3,1,5]=>[2,4,3,1,5]=>0001 [2,4,3,6,5,1]=>[5,2,4,3,6,1]=>[5,2,4,3,1]=>0000 [2,4,5,1,3,6]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>0000 [2,4,5,1,6,3]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>0000 [2,4,5,3,1,6]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>0000 [2,4,5,3,6,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>0000 [2,4,5,6,1,3]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>0100 [2,4,5,6,3,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>0000 [2,4,6,1,3,5]=>[6,2,1,4,3,5]=>[2,1,4,3,5]=>0101 [2,4,6,1,5,3]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>0000 [2,4,6,3,1,5]=>[3,2,6,4,1,5]=>[3,2,4,1,5]=>0001 [2,4,6,3,5,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>0000 [2,4,6,5,1,3]=>[5,2,1,4,6,3]=>[5,2,1,4,3]=>0000 [2,4,6,5,3,1]=>[3,2,5,4,6,1]=>[3,2,5,4,1]=>0000 [2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>0000 [2,5,1,3,6,4]=>[5,2,1,6,3,4]=>[5,2,1,3,4]=>0000 [2,5,1,4,3,6]=>[5,2,4,1,3,6]=>[5,2,4,1,3]=>0000 [2,5,1,4,6,3]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>0000 [2,5,1,6,3,4]=>[5,2,6,3,1,4]=>[5,2,3,1,4]=>0000 [2,5,1,6,4,3]=>[5,2,4,6,1,3]=>[5,2,4,1,3]=>0000 [2,5,3,1,4,6]=>[3,2,5,1,4,6]=>[3,2,5,1,4]=>0000 [2,5,3,1,6,4]=>[3,2,5,6,1,4]=>[3,2,5,1,4]=>0000 [2,5,3,4,1,6]=>[4,2,5,3,1,6]=>[4,2,5,3,1]=>0000 [2,5,3,4,6,1]=>[6,2,5,3,4,1]=>[2,5,3,4,1]=>0000 [2,5,3,6,1,4]=>[6,2,5,1,3,4]=>[2,5,1,3,4]=>0000 [2,5,3,6,4,1]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>0000 [2,5,4,1,3,6]=>[4,2,1,5,3,6]=>[4,2,1,5,3]=>0000 [2,5,4,1,6,3]=>[4,2,5,6,3,1]=>[4,2,5,3,1]=>0000 [2,5,4,3,1,6]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>0000 [2,5,4,3,6,1]=>[6,2,4,5,3,1]=>[2,4,5,3,1]=>0000 [2,5,4,6,1,3]=>[6,2,1,5,4,3]=>[2,1,5,4,3]=>0100 [2,5,4,6,3,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>0000 [2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[2,1,3,5,4]=>0110 [2,5,6,1,4,3]=>[6,2,4,1,5,3]=>[2,4,1,5,3]=>0000 [2,5,6,3,1,4]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>0010 [2,5,6,3,4,1]=>[4,2,6,3,5,1]=>[4,2,3,5,1]=>0000 [2,5,6,4,1,3]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>0000 [2,5,6,4,3,1]=>[3,2,4,6,5,1]=>[3,2,4,5,1]=>0000 [2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[2,1,3,4,5]=>0111 [2,6,1,3,5,4]=>[6,2,1,5,3,4]=>[2,1,5,3,4]=>0100 [2,6,1,4,3,5]=>[6,2,4,1,3,5]=>[2,4,1,3,5]=>0001 [2,6,1,4,5,3]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>0000 [2,6,1,5,3,4]=>[6,2,5,3,1,4]=>[2,5,3,1,4]=>0000 [2,6,1,5,4,3]=>[6,2,4,5,1,3]=>[2,4,5,1,3]=>0000 [2,6,3,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1,4,5]=>0011 [2,6,3,1,5,4]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>0000 [2,6,3,4,1,5]=>[4,2,6,3,1,5]=>[4,2,3,1,5]=>0001 [2,6,3,4,5,1]=>[5,2,6,3,4,1]=>[5,2,3,4,1]=>0000 [2,6,3,5,1,4]=>[5,2,6,1,3,4]=>[5,2,1,3,4]=>0000 [2,6,3,5,4,1]=>[4,2,5,6,1,3]=>[4,2,5,1,3]=>0000 [2,6,4,1,3,5]=>[4,2,1,6,3,5]=>[4,2,1,3,5]=>0001 [2,6,4,1,5,3]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>0000 [2,6,4,3,1,5]=>[3,2,4,6,1,5]=>[3,2,4,1,5]=>0001 [2,6,4,3,5,1]=>[5,2,4,6,3,1]=>[5,2,4,3,1]=>0000 [2,6,4,5,1,3]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>0000 [2,6,4,5,3,1]=>[3,2,5,6,4,1]=>[3,2,5,4,1]=>0000 [2,6,5,1,3,4]=>[5,2,1,3,6,4]=>[5,2,1,3,4]=>0000 [2,6,5,1,4,3]=>[5,2,4,1,6,3]=>[5,2,4,1,3]=>0000 [2,6,5,3,1,4]=>[3,2,5,1,6,4]=>[3,2,5,1,4]=>0000 [2,6,5,3,4,1]=>[4,2,5,3,6,1]=>[4,2,5,3,1]=>0000 [2,6,5,4,1,3]=>[4,2,1,5,6,3]=>[4,2,1,5,3]=>0000 [2,6,5,4,3,1]=>[3,2,4,5,6,1]=>[3,2,4,5,1]=>0000 [3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>0011 [3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[3,1,2,4,5]=>0011 [3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[3,1,2,5,4]=>0010 [3,1,2,5,6,4]=>[3,1,2,6,5,4]=>[3,1,2,5,4]=>0010 [3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[3,1,2,4,5]=>0011 [3,1,2,6,5,4]=>[3,1,2,5,6,4]=>[3,1,2,5,4]=>0010 [3,1,4,2,5,6]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>0001 [3,1,4,2,6,5]=>[3,4,1,2,6,5]=>[3,4,1,2,5]=>0001 [3,1,4,5,2,6]=>[3,5,1,4,2,6]=>[3,5,1,4,2]=>0000 [3,1,4,5,6,2]=>[3,6,1,4,5,2]=>[3,1,4,5,2]=>0000 [3,1,4,6,2,5]=>[3,6,1,4,2,5]=>[3,1,4,2,5]=>0001 [3,1,4,6,5,2]=>[3,5,1,4,6,2]=>[3,5,1,4,2]=>0000 [3,1,5,2,4,6]=>[3,5,1,2,4,6]=>[3,5,1,2,4]=>0000 [3,1,5,2,6,4]=>[3,5,1,6,2,4]=>[3,5,1,2,4]=>0000 [3,1,5,4,2,6]=>[3,4,1,5,2,6]=>[3,4,1,5,2]=>0000 [3,1,5,4,6,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>0000 [3,1,5,6,2,4]=>[3,6,1,2,5,4]=>[3,1,2,5,4]=>0010 [3,1,5,6,4,2]=>[3,4,1,6,5,2]=>[3,4,1,5,2]=>0000 [3,1,6,2,4,5]=>[3,6,1,2,4,5]=>[3,1,2,4,5]=>0011 [3,1,6,2,5,4]=>[3,6,1,5,2,4]=>[3,1,5,2,4]=>0000 [3,1,6,4,2,5]=>[3,4,1,6,2,5]=>[3,4,1,2,5]=>0001 [3,1,6,4,5,2]=>[3,5,1,6,4,2]=>[3,5,1,4,2]=>0000 [3,1,6,5,2,4]=>[3,5,1,2,6,4]=>[3,5,1,2,4]=>0000 [3,1,6,5,4,2]=>[3,4,1,5,6,2]=>[3,4,1,5,2]=>0000 [3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>0011 [3,2,1,4,6,5]=>[2,3,1,4,6,5]=>[2,3,1,4,5]=>0011 [3,2,1,5,4,6]=>[2,3,1,5,4,6]=>[2,3,1,5,4]=>0010 [3,2,1,5,6,4]=>[2,3,1,6,5,4]=>[2,3,1,5,4]=>0010 [3,2,1,6,4,5]=>[2,3,1,6,4,5]=>[2,3,1,4,5]=>0011 [3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[2,3,1,5,4]=>0010 [3,2,4,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>0001 [3,2,4,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,5]=>0001 [3,2,4,5,1,6]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>0000 [3,2,4,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>0000 [3,2,4,6,1,5]=>[6,3,2,4,1,5]=>[3,2,4,1,5]=>0001 [3,2,4,6,5,1]=>[5,3,2,4,6,1]=>[5,3,2,4,1]=>0000 [3,2,5,1,4,6]=>[5,3,2,1,4,6]=>[5,3,2,1,4]=>0000 [3,2,5,1,6,4]=>[5,3,2,6,1,4]=>[5,3,2,1,4]=>0000 [3,2,5,4,1,6]=>[4,3,2,5,1,6]=>[4,3,2,5,1]=>0000 [3,2,5,4,6,1]=>[6,3,2,5,4,1]=>[3,2,5,4,1]=>0000 [3,2,5,6,1,4]=>[6,3,2,1,5,4]=>[3,2,1,5,4]=>0010 [3,2,5,6,4,1]=>[4,3,2,6,5,1]=>[4,3,2,5,1]=>0000 [3,2,6,1,4,5]=>[6,3,2,1,4,5]=>[3,2,1,4,5]=>0011 [3,2,6,1,5,4]=>[6,3,2,5,1,4]=>[3,2,5,1,4]=>0000 [3,2,6,4,1,5]=>[4,3,2,6,1,5]=>[4,3,2,1,5]=>0001 [3,2,6,4,5,1]=>[5,3,2,6,4,1]=>[5,3,2,4,1]=>0000 [3,2,6,5,1,4]=>[5,3,2,1,6,4]=>[5,3,2,1,4]=>0000 [3,2,6,5,4,1]=>[4,3,2,5,6,1]=>[4,3,2,5,1]=>0000 [3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>0001 [3,4,1,2,6,5]=>[4,1,3,2,6,5]=>[4,1,3,2,5]=>0001 [3,4,1,5,2,6]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>0000 [3,4,1,5,6,2]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>0000 [3,4,1,6,2,5]=>[4,6,3,1,2,5]=>[4,3,1,2,5]=>0001 [3,4,1,6,5,2]=>[4,5,3,1,6,2]=>[4,5,3,1,2]=>0000 [3,4,2,1,5,6]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>0001 [3,4,2,1,6,5]=>[2,4,3,1,6,5]=>[2,4,3,1,5]=>0001 [3,4,2,5,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>0000 [3,4,2,5,6,1]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>0000 [3,4,2,6,1,5]=>[6,4,3,2,1,5]=>[4,3,2,1,5]=>0001 [3,4,2,6,5,1]=>[5,4,3,2,6,1]=>[5,4,3,2,1]=>0000 [3,4,5,1,2,6]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>0000 [3,4,5,1,6,2]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>0000 [3,4,5,2,1,6]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>0000 [3,4,5,2,6,1]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>0000 [3,4,5,6,1,2]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>1000 [3,4,5,6,2,1]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>0000 [3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[1,3,4,2,5]=>1001 [3,4,6,1,5,2]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>0000 [3,4,6,2,1,5]=>[2,6,3,4,1,5]=>[2,3,4,1,5]=>0001 [3,4,6,2,5,1]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>0000 [3,4,6,5,1,2]=>[5,1,3,4,6,2]=>[5,1,3,4,2]=>0000 [3,4,6,5,2,1]=>[2,5,3,4,6,1]=>[2,5,3,4,1]=>0000 [3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[5,1,3,2,4]=>0000 [3,5,1,2,6,4]=>[5,1,3,6,2,4]=>[5,1,3,2,4]=>0000 [3,5,1,4,2,6]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>0000 [3,5,1,4,6,2]=>[5,6,3,1,4,2]=>[5,3,1,4,2]=>0000 [3,5,1,6,2,4]=>[5,6,3,2,1,4]=>[5,3,2,1,4]=>0000 [3,5,1,6,4,2]=>[5,4,3,6,1,2]=>[5,4,3,1,2]=>0000 [3,5,2,1,4,6]=>[2,5,3,1,4,6]=>[2,5,3,1,4]=>0000 [3,5,2,1,6,4]=>[2,5,3,6,1,4]=>[2,5,3,1,4]=>0000 [3,5,2,4,1,6]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>0000 [3,5,2,4,6,1]=>[6,5,3,2,4,1]=>[5,3,2,4,1]=>0000 [3,5,2,6,1,4]=>[6,5,3,1,2,4]=>[5,3,1,2,4]=>0000 [3,5,2,6,4,1]=>[4,6,3,5,1,2]=>[4,3,5,1,2]=>0000 [3,5,4,1,2,6]=>[4,1,3,5,2,6]=>[4,1,3,5,2]=>0000 [3,5,4,1,6,2]=>[4,5,3,6,2,1]=>[4,5,3,2,1]=>0000 [3,5,4,2,1,6]=>[2,4,3,5,1,6]=>[2,4,3,5,1]=>0000 [3,5,4,2,6,1]=>[6,4,3,5,2,1]=>[4,3,5,2,1]=>0000 [3,5,4,6,1,2]=>[6,1,3,5,4,2]=>[1,3,5,4,2]=>1000 [3,5,4,6,2,1]=>[2,6,3,5,4,1]=>[2,3,5,4,1]=>0000 [3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[1,3,2,5,4]=>1010 [3,5,6,1,4,2]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>0000 [3,5,6,2,1,4]=>[2,6,3,1,5,4]=>[2,3,1,5,4]=>0010 [3,5,6,2,4,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>0000 [3,5,6,4,1,2]=>[4,1,3,6,5,2]=>[4,1,3,5,2]=>0000 [3,5,6,4,2,1]=>[2,4,3,6,5,1]=>[2,4,3,5,1]=>0000 [3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[1,3,2,4,5]=>1011 [3,6,1,2,5,4]=>[6,1,3,5,2,4]=>[1,3,5,2,4]=>1000 [3,6,1,4,2,5]=>[6,4,3,1,2,5]=>[4,3,1,2,5]=>0001 [3,6,1,4,5,2]=>[6,5,3,1,4,2]=>[5,3,1,4,2]=>0000 [3,6,1,5,2,4]=>[6,5,3,2,1,4]=>[5,3,2,1,4]=>0000 [3,6,1,5,4,2]=>[6,4,3,5,1,2]=>[4,3,5,1,2]=>0000 [3,6,2,1,4,5]=>[2,6,3,1,4,5]=>[2,3,1,4,5]=>0011 [3,6,2,1,5,4]=>[2,6,3,5,1,4]=>[2,3,5,1,4]=>0000 [3,6,2,4,1,5]=>[4,6,3,2,1,5]=>[4,3,2,1,5]=>0001 [3,6,2,4,5,1]=>[5,6,3,2,4,1]=>[5,3,2,4,1]=>0000 [3,6,2,5,1,4]=>[5,6,3,1,2,4]=>[5,3,1,2,4]=>0000 [3,6,2,5,4,1]=>[4,5,3,6,1,2]=>[4,5,3,1,2]=>0000 [3,6,4,1,2,5]=>[4,1,3,6,2,5]=>[4,1,3,2,5]=>0001 [3,6,4,1,5,2]=>[4,6,3,5,2,1]=>[4,3,5,2,1]=>0000 [3,6,4,2,1,5]=>[2,4,3,6,1,5]=>[2,4,3,1,5]=>0001 [3,6,4,2,5,1]=>[5,4,3,6,2,1]=>[5,4,3,2,1]=>0000 [3,6,4,5,1,2]=>[5,1,3,6,4,2]=>[5,1,3,4,2]=>0000 [3,6,4,5,2,1]=>[2,5,3,6,4,1]=>[2,5,3,4,1]=>0000 [3,6,5,1,2,4]=>[5,1,3,2,6,4]=>[5,1,3,2,4]=>0000 [3,6,5,1,4,2]=>[5,4,3,1,6,2]=>[5,4,3,1,2]=>0000 [3,6,5,2,1,4]=>[2,5,3,1,6,4]=>[2,5,3,1,4]=>0000 [3,6,5,2,4,1]=>[4,5,3,2,6,1]=>[4,5,3,2,1]=>0000 [3,6,5,4,1,2]=>[4,1,3,5,6,2]=>[4,1,3,5,2]=>0000 [3,6,5,4,2,1]=>[2,4,3,5,6,1]=>[2,4,3,5,1]=>0000 [4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>0001 [4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[4,1,2,3,5]=>0001 [4,1,2,5,3,6]=>[4,1,5,2,3,6]=>[4,1,5,2,3]=>0000 [4,1,2,5,6,3]=>[4,1,6,2,5,3]=>[4,1,2,5,3]=>0000 [4,1,2,6,3,5]=>[4,1,6,2,3,5]=>[4,1,2,3,5]=>0001 [4,1,2,6,5,3]=>[4,1,5,2,6,3]=>[4,1,5,2,3]=>0000 [4,1,3,2,5,6]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>0001 [4,1,3,2,6,5]=>[4,3,1,2,6,5]=>[4,3,1,2,5]=>0001 [4,1,3,5,2,6]=>[4,5,1,3,2,6]=>[4,5,1,3,2]=>0000 [4,1,3,5,6,2]=>[4,6,1,3,5,2]=>[4,1,3,5,2]=>0000 [4,1,3,6,2,5]=>[4,6,1,3,2,5]=>[4,1,3,2,5]=>0001 [4,1,3,6,5,2]=>[4,5,1,3,6,2]=>[4,5,1,3,2]=>0000 [4,1,5,2,3,6]=>[4,5,2,1,3,6]=>[4,5,2,1,3]=>0000 [4,1,5,2,6,3]=>[4,5,6,1,2,3]=>[4,5,1,2,3]=>0000 [4,1,5,3,2,6]=>[4,3,5,1,2,6]=>[4,3,5,1,2]=>0000 [4,1,5,3,6,2]=>[4,6,5,1,3,2]=>[4,5,1,3,2]=>0000 [4,1,5,6,2,3]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>0000 [4,1,5,6,3,2]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>0000 [4,1,6,2,3,5]=>[4,6,2,1,3,5]=>[4,2,1,3,5]=>0001 [4,1,6,2,5,3]=>[4,6,5,1,2,3]=>[4,5,1,2,3]=>0000 [4,1,6,3,2,5]=>[4,3,6,1,2,5]=>[4,3,1,2,5]=>0001 [4,1,6,3,5,2]=>[4,5,6,1,3,2]=>[4,5,1,3,2]=>0000 [4,1,6,5,2,3]=>[4,5,2,1,6,3]=>[4,5,2,1,3]=>0000 [4,1,6,5,3,2]=>[4,3,5,1,6,2]=>[4,3,5,1,2]=>0000 [4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[2,4,1,3,5]=>0001 [4,2,1,3,6,5]=>[2,4,1,3,6,5]=>[2,4,1,3,5]=>0001 [4,2,1,5,3,6]=>[2,4,5,1,3,6]=>[2,4,5,1,3]=>0000 [4,2,1,5,6,3]=>[2,4,6,1,5,3]=>[2,4,1,5,3]=>0000 [4,2,1,6,3,5]=>[2,4,6,1,3,5]=>[2,4,1,3,5]=>0001 [4,2,1,6,5,3]=>[2,4,5,1,6,3]=>[2,4,5,1,3]=>0000 [4,2,3,1,5,6]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>0001 [4,2,3,1,6,5]=>[3,4,2,1,6,5]=>[3,4,2,1,5]=>0001 [4,2,3,5,1,6]=>[5,4,2,3,1,6]=>[5,4,2,3,1]=>0000 [4,2,3,5,6,1]=>[6,4,2,3,5,1]=>[4,2,3,5,1]=>0000 [4,2,3,6,1,5]=>[6,4,2,3,1,5]=>[4,2,3,1,5]=>0001 [4,2,3,6,5,1]=>[5,4,2,3,6,1]=>[5,4,2,3,1]=>0000 [4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[5,4,1,2,3]=>0000 [4,2,5,1,6,3]=>[5,4,6,2,1,3]=>[5,4,2,1,3]=>0000 [4,2,5,3,1,6]=>[3,5,4,1,2,6]=>[3,5,4,1,2]=>0000 [4,2,5,3,6,1]=>[6,4,5,2,3,1]=>[4,5,2,3,1]=>0000 [4,2,5,6,1,3]=>[6,4,1,2,5,3]=>[4,1,2,5,3]=>0000 [4,2,5,6,3,1]=>[3,6,4,1,5,2]=>[3,4,1,5,2]=>0000 [4,2,6,1,3,5]=>[6,4,1,2,3,5]=>[4,1,2,3,5]=>0001 [4,2,6,1,5,3]=>[6,4,5,2,1,3]=>[4,5,2,1,3]=>0000 [4,2,6,3,1,5]=>[3,6,4,1,2,5]=>[3,4,1,2,5]=>0001 [4,2,6,3,5,1]=>[5,4,6,2,3,1]=>[5,4,2,3,1]=>0000 [4,2,6,5,1,3]=>[5,4,1,2,6,3]=>[5,4,1,2,3]=>0000 [4,2,6,5,3,1]=>[3,5,4,1,6,2]=>[3,5,4,1,2]=>0000 [4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[3,1,4,2,5]=>0001 [4,3,1,2,6,5]=>[3,1,4,2,6,5]=>[3,1,4,2,5]=>0001 [4,3,1,5,2,6]=>[3,4,5,2,1,6]=>[3,4,5,2,1]=>0000 [4,3,1,5,6,2]=>[3,4,6,2,5,1]=>[3,4,2,5,1]=>0000 [4,3,1,6,2,5]=>[3,4,6,2,1,5]=>[3,4,2,1,5]=>0001 [4,3,1,6,5,2]=>[3,4,5,2,6,1]=>[3,4,5,2,1]=>0000 [4,3,2,1,5,6]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>0001 [4,3,2,1,6,5]=>[2,3,4,1,6,5]=>[2,3,4,1,5]=>0001 [4,3,2,5,1,6]=>[5,3,4,2,1,6]=>[5,3,4,2,1]=>0000 [4,3,2,5,6,1]=>[6,3,4,2,5,1]=>[3,4,2,5,1]=>0000 [4,3,2,6,1,5]=>[6,3,4,2,1,5]=>[3,4,2,1,5]=>0001 [4,3,2,6,5,1]=>[5,3,4,2,6,1]=>[5,3,4,2,1]=>0000 [4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[5,1,4,3,2]=>0000 [4,3,5,1,6,2]=>[5,6,4,3,1,2]=>[5,4,3,1,2]=>0000 [4,3,5,2,1,6]=>[2,5,4,3,1,6]=>[2,5,4,3,1]=>0000 [4,3,5,2,6,1]=>[6,5,4,3,2,1]=>[5,4,3,2,1]=>0000 [4,3,5,6,1,2]=>[6,1,4,3,5,2]=>[1,4,3,5,2]=>1000 [4,3,5,6,2,1]=>[2,6,4,3,5,1]=>[2,4,3,5,1]=>0000 [4,3,6,1,2,5]=>[6,1,4,3,2,5]=>[1,4,3,2,5]=>1001 [4,3,6,1,5,2]=>[6,5,4,3,1,2]=>[5,4,3,1,2]=>0000 [4,3,6,2,1,5]=>[2,6,4,3,1,5]=>[2,4,3,1,5]=>0001 [4,3,6,2,5,1]=>[5,6,4,3,2,1]=>[5,4,3,2,1]=>0000 [4,3,6,5,1,2]=>[5,1,4,3,6,2]=>[5,1,4,3,2]=>0000 [4,3,6,5,2,1]=>[2,5,4,3,6,1]=>[2,5,4,3,1]=>0000 [4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[5,1,2,4,3]=>0000 [4,5,1,2,6,3]=>[5,1,6,4,2,3]=>[5,1,4,2,3]=>0000 [4,5,1,3,2,6]=>[5,3,1,4,2,6]=>[5,3,1,4,2]=>0000 [4,5,1,3,6,2]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>0000 [4,5,1,6,2,3]=>[5,6,2,4,1,3]=>[5,2,4,1,3]=>0000 [4,5,1,6,3,2]=>[5,3,6,4,1,2]=>[5,3,4,1,2]=>0000 [4,5,2,1,3,6]=>[2,5,1,4,3,6]=>[2,5,1,4,3]=>0000 [4,5,2,1,6,3]=>[2,5,6,4,1,3]=>[2,5,4,1,3]=>0000 [4,5,2,3,1,6]=>[3,5,2,4,1,6]=>[3,5,2,4,1]=>0000 [4,5,2,3,6,1]=>[6,5,2,4,3,1]=>[5,2,4,3,1]=>0000 [4,5,2,6,1,3]=>[6,5,1,4,2,3]=>[5,1,4,2,3]=>0000 [4,5,2,6,3,1]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>0000 [4,5,3,1,2,6]=>[3,1,5,4,2,6]=>[3,1,5,4,2]=>0000 [4,5,3,1,6,2]=>[3,5,6,4,2,1]=>[3,5,4,2,1]=>0000 [4,5,3,2,1,6]=>[2,3,5,4,1,6]=>[2,3,5,4,1]=>0000 [4,5,3,2,6,1]=>[6,3,5,4,2,1]=>[3,5,4,2,1]=>0000 [4,5,3,6,1,2]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>1000 [4,5,3,6,2,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>0000 [4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[1,2,4,5,3]=>1100 [4,5,6,1,3,2]=>[6,3,1,4,5,2]=>[3,1,4,5,2]=>0000 [4,5,6,2,1,3]=>[2,6,1,4,5,3]=>[2,1,4,5,3]=>0100 [4,5,6,2,3,1]=>[3,6,2,4,5,1]=>[3,2,4,5,1]=>0000 [4,5,6,3,1,2]=>[3,1,6,4,5,2]=>[3,1,4,5,2]=>0000 [4,5,6,3,2,1]=>[2,3,6,4,5,1]=>[2,3,4,5,1]=>0000 [4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[1,2,4,3,5]=>1101 [4,6,1,2,5,3]=>[6,1,5,4,2,3]=>[1,5,4,2,3]=>1000 [4,6,1,3,2,5]=>[6,3,1,4,2,5]=>[3,1,4,2,5]=>0001 [4,6,1,3,5,2]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>0000 [4,6,1,5,2,3]=>[6,5,2,4,1,3]=>[5,2,4,1,3]=>0000 [4,6,1,5,3,2]=>[6,3,5,4,1,2]=>[3,5,4,1,2]=>0000 [4,6,2,1,3,5]=>[2,6,1,4,3,5]=>[2,1,4,3,5]=>0101 [4,6,2,1,5,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>0000 [4,6,2,3,1,5]=>[3,6,2,4,1,5]=>[3,2,4,1,5]=>0001 [4,6,2,3,5,1]=>[5,6,2,4,3,1]=>[5,2,4,3,1]=>0000 [4,6,2,5,1,3]=>[5,6,1,4,2,3]=>[5,1,4,2,3]=>0000 [4,6,2,5,3,1]=>[3,5,6,4,1,2]=>[3,5,4,1,2]=>0000 [4,6,3,1,2,5]=>[3,1,6,4,2,5]=>[3,1,4,2,5]=>0001 [4,6,3,1,5,2]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>0000 [4,6,3,2,1,5]=>[2,3,6,4,1,5]=>[2,3,4,1,5]=>0001 [4,6,3,2,5,1]=>[5,3,6,4,2,1]=>[5,3,4,2,1]=>0000 [4,6,3,5,1,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>0000 [4,6,3,5,2,1]=>[2,5,6,4,3,1]=>[2,5,4,3,1]=>0000 [4,6,5,1,2,3]=>[5,1,2,4,6,3]=>[5,1,2,4,3]=>0000 [4,6,5,1,3,2]=>[5,3,1,4,6,2]=>[5,3,1,4,2]=>0000 [4,6,5,2,1,3]=>[2,5,1,4,6,3]=>[2,5,1,4,3]=>0000 [4,6,5,2,3,1]=>[3,5,2,4,6,1]=>[3,5,2,4,1]=>0000 [4,6,5,3,1,2]=>[3,1,5,4,6,2]=>[3,1,5,4,2]=>0000 [4,6,5,3,2,1]=>[2,3,5,4,6,1]=>[2,3,5,4,1]=>0000 [5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[5,1,2,3,4]=>0000 [5,1,2,3,6,4]=>[5,1,2,6,3,4]=>[5,1,2,3,4]=>0000 [5,1,2,4,3,6]=>[5,1,4,2,3,6]=>[5,1,4,2,3]=>0000 [5,1,2,4,6,3]=>[5,1,6,2,4,3]=>[5,1,2,4,3]=>0000 [5,1,2,6,3,4]=>[5,1,6,3,2,4]=>[5,1,3,2,4]=>0000 [5,1,2,6,4,3]=>[5,1,4,6,2,3]=>[5,1,4,2,3]=>0000 [5,1,3,2,4,6]=>[5,3,1,2,4,6]=>[5,3,1,2,4]=>0000 [5,1,3,2,6,4]=>[5,3,1,6,2,4]=>[5,3,1,2,4]=>0000 [5,1,3,4,2,6]=>[5,4,1,3,2,6]=>[5,4,1,3,2]=>0000 [5,1,3,4,6,2]=>[5,6,1,2,3,4]=>[5,1,2,3,4]=>0000 [5,1,3,6,2,4]=>[5,6,1,3,4,2]=>[5,1,3,4,2]=>0000 [5,1,3,6,4,2]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>0000 [5,1,4,2,3,6]=>[5,4,2,1,3,6]=>[5,4,2,1,3]=>0000 [5,1,4,2,6,3]=>[5,4,6,1,2,3]=>[5,4,1,2,3]=>0000 [5,1,4,3,2,6]=>[5,3,4,1,2,6]=>[5,3,4,1,2]=>0000 [5,1,4,3,6,2]=>[5,6,4,1,3,2]=>[5,4,1,3,2]=>0000 [5,1,4,6,2,3]=>[5,6,2,1,4,3]=>[5,2,1,4,3]=>0000 [5,1,4,6,3,2]=>[5,3,6,1,4,2]=>[5,3,1,4,2]=>0000 [5,1,6,2,3,4]=>[5,6,2,3,1,4]=>[5,2,3,1,4]=>0000 [5,1,6,2,4,3]=>[5,6,4,2,1,3]=>[5,4,2,1,3]=>0000 [5,1,6,3,2,4]=>[5,3,6,2,1,4]=>[5,3,2,1,4]=>0000 [5,1,6,3,4,2]=>[5,4,6,3,1,2]=>[5,4,3,1,2]=>0000 [5,1,6,4,2,3]=>[5,4,2,6,1,3]=>[5,4,2,1,3]=>0000 [5,1,6,4,3,2]=>[5,3,4,6,1,2]=>[5,3,4,1,2]=>0000 [5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[2,5,1,3,4]=>0000 [5,2,1,3,6,4]=>[2,5,1,6,3,4]=>[2,5,1,3,4]=>0000 [5,2,1,4,3,6]=>[2,5,4,1,3,6]=>[2,5,4,1,3]=>0000 [5,2,1,4,6,3]=>[2,5,6,1,4,3]=>[2,5,1,4,3]=>0000 [5,2,1,6,3,4]=>[2,5,6,3,1,4]=>[2,5,3,1,4]=>0000 [5,2,1,6,4,3]=>[2,5,4,6,1,3]=>[2,5,4,1,3]=>0000 [5,2,3,1,4,6]=>[3,5,2,1,4,6]=>[3,5,2,1,4]=>0000 [5,2,3,1,6,4]=>[3,5,2,6,1,4]=>[3,5,2,1,4]=>0000 [5,2,3,4,1,6]=>[4,5,2,3,1,6]=>[4,5,2,3,1]=>0000 [5,2,3,4,6,1]=>[6,5,2,3,4,1]=>[5,2,3,4,1]=>0000 [5,2,3,6,1,4]=>[6,5,2,1,3,4]=>[5,2,1,3,4]=>0000 [5,2,3,6,4,1]=>[4,6,2,5,1,3]=>[4,2,5,1,3]=>0000 [5,2,4,1,3,6]=>[4,5,1,2,3,6]=>[4,5,1,2,3]=>0000 [5,2,4,1,6,3]=>[4,5,6,2,1,3]=>[4,5,2,1,3]=>0000 [5,2,4,3,1,6]=>[3,4,5,1,2,6]=>[3,4,5,1,2]=>0000 [5,2,4,3,6,1]=>[6,5,4,2,3,1]=>[5,4,2,3,1]=>0000 [5,2,4,6,1,3]=>[6,5,1,3,2,4]=>[5,1,3,2,4]=>0000 [5,2,4,6,3,1]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>0000 [5,2,6,1,3,4]=>[6,5,1,2,4,3]=>[5,1,2,4,3]=>0000 [5,2,6,1,4,3]=>[6,5,4,1,2,3]=>[5,4,1,2,3]=>0000 [5,2,6,3,1,4]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>0000 [5,2,6,3,4,1]=>[4,5,6,3,2,1]=>[4,5,3,2,1]=>0000 [5,2,6,4,1,3]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>0000 [5,2,6,4,3,1]=>[3,4,6,5,2,1]=>[3,4,5,2,1]=>0000 [5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[3,1,5,2,4]=>0000 [5,3,1,2,6,4]=>[3,1,5,6,2,4]=>[3,1,5,2,4]=>0000 [5,3,1,4,2,6]=>[3,5,4,2,1,6]=>[3,5,4,2,1]=>0000 [5,3,1,4,6,2]=>[3,5,6,1,2,4]=>[3,5,1,2,4]=>0000 [5,3,1,6,2,4]=>[3,5,6,2,4,1]=>[3,5,2,4,1]=>0000 [5,3,1,6,4,2]=>[3,5,4,6,2,1]=>[3,5,4,2,1]=>0000 [5,3,2,1,4,6]=>[2,3,5,1,4,6]=>[2,3,5,1,4]=>0000 [5,3,2,1,6,4]=>[2,3,5,6,1,4]=>[2,3,5,1,4]=>0000 [5,3,2,4,1,6]=>[4,3,5,2,1,6]=>[4,3,5,2,1]=>0000 [5,3,2,4,6,1]=>[6,3,5,2,4,1]=>[3,5,2,4,1]=>0000 [5,3,2,6,1,4]=>[6,3,5,1,2,4]=>[3,5,1,2,4]=>0000 [5,3,2,6,4,1]=>[4,3,6,5,1,2]=>[4,3,5,1,2]=>0000 [5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[4,1,5,3,2]=>0000 [5,3,4,1,6,2]=>[4,6,5,3,1,2]=>[4,5,3,1,2]=>0000 [5,3,4,2,1,6]=>[2,4,5,3,1,6]=>[2,4,5,3,1]=>0000 [5,3,4,2,6,1]=>[6,4,5,3,2,1]=>[4,5,3,2,1]=>0000 [5,3,4,6,1,2]=>[6,1,5,3,4,2]=>[1,5,3,4,2]=>1000 [5,3,4,6,2,1]=>[2,6,5,3,4,1]=>[2,5,3,4,1]=>0000 [5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[1,5,2,3,4]=>1000 [5,3,6,1,4,2]=>[6,4,5,1,3,2]=>[4,5,1,3,2]=>0000 [5,3,6,2,1,4]=>[2,6,5,1,3,4]=>[2,5,1,3,4]=>0000 [5,3,6,2,4,1]=>[4,6,5,2,3,1]=>[4,5,2,3,1]=>0000 [5,3,6,4,1,2]=>[4,1,6,5,2,3]=>[4,1,5,2,3]=>0000 [5,3,6,4,2,1]=>[2,4,6,5,1,3]=>[2,4,5,1,3]=>0000 [5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[4,1,2,5,3]=>0000 [5,4,1,2,6,3]=>[4,1,5,6,3,2]=>[4,1,5,3,2]=>0000 [5,4,1,3,2,6]=>[4,3,1,5,2,6]=>[4,3,1,5,2]=>0000 [5,4,1,3,6,2]=>[4,5,1,6,2,3]=>[4,5,1,2,3]=>0000 [5,4,1,6,2,3]=>[4,5,2,6,3,1]=>[4,5,2,3,1]=>0000 [5,4,1,6,3,2]=>[4,3,5,6,2,1]=>[4,3,5,2,1]=>0000 [5,4,2,1,3,6]=>[2,4,1,5,3,6]=>[2,4,1,5,3]=>0000 [5,4,2,1,6,3]=>[2,4,5,6,3,1]=>[2,4,5,3,1]=>0000 [5,4,2,3,1,6]=>[3,4,2,5,1,6]=>[3,4,2,5,1]=>0000 [5,4,2,3,6,1]=>[6,4,2,5,3,1]=>[4,2,5,3,1]=>0000 [5,4,2,6,1,3]=>[6,4,1,5,2,3]=>[4,1,5,2,3]=>0000 [5,4,2,6,3,1]=>[3,6,4,5,1,2]=>[3,4,5,1,2]=>0000 [5,4,3,1,2,6]=>[3,1,4,5,2,6]=>[3,1,4,5,2]=>0000 [5,4,3,1,6,2]=>[3,4,5,6,1,2]=>[3,4,5,1,2]=>0000 [5,4,3,2,1,6]=>[2,3,4,5,1,6]=>[2,3,4,5,1]=>0000 [5,4,3,2,6,1]=>[6,3,4,5,2,1]=>[3,4,5,2,1]=>0000 [5,4,3,6,1,2]=>[6,1,4,5,3,2]=>[1,4,5,3,2]=>1000 [5,4,3,6,2,1]=>[2,6,4,5,3,1]=>[2,4,5,3,1]=>0000 [5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[1,2,5,4,3]=>1100 [5,4,6,1,3,2]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>0000 [5,4,6,2,1,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>0100 [5,4,6,2,3,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>0000 [5,4,6,3,1,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>0000 [5,4,6,3,2,1]=>[2,3,6,5,4,1]=>[2,3,5,4,1]=>0000 [5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[1,2,3,5,4]=>1110 [5,6,1,2,4,3]=>[6,1,4,2,5,3]=>[1,4,2,5,3]=>1000 [5,6,1,3,2,4]=>[6,3,1,2,5,4]=>[3,1,2,5,4]=>0010 [5,6,1,3,4,2]=>[6,4,1,3,5,2]=>[4,1,3,5,2]=>0000 [5,6,1,4,2,3]=>[6,4,2,1,5,3]=>[4,2,1,5,3]=>0000 [5,6,1,4,3,2]=>[6,3,4,1,5,2]=>[3,4,1,5,2]=>0000 [5,6,2,1,3,4]=>[2,6,1,3,5,4]=>[2,1,3,5,4]=>0110 [5,6,2,1,4,3]=>[2,6,4,1,5,3]=>[2,4,1,5,3]=>0000 [5,6,2,3,1,4]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>0010 [5,6,2,3,4,1]=>[4,6,2,3,5,1]=>[4,2,3,5,1]=>0000 [5,6,2,4,1,3]=>[4,6,1,2,5,3]=>[4,1,2,5,3]=>0000 [5,6,2,4,3,1]=>[3,4,6,1,5,2]=>[3,4,1,5,2]=>0000 [5,6,3,1,2,4]=>[3,1,6,2,5,4]=>[3,1,2,5,4]=>0010 [5,6,3,1,4,2]=>[3,6,4,2,5,1]=>[3,4,2,5,1]=>0000 [5,6,3,2,1,4]=>[2,3,6,1,5,4]=>[2,3,1,5,4]=>0010 [5,6,3,2,4,1]=>[4,3,6,2,5,1]=>[4,3,2,5,1]=>0000 [5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[4,1,3,5,2]=>0000 [5,6,3,4,2,1]=>[2,4,6,3,5,1]=>[2,4,3,5,1]=>0000 [5,6,4,1,2,3]=>[4,1,2,6,5,3]=>[4,1,2,5,3]=>0000 [5,6,4,1,3,2]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>0000 [5,6,4,2,1,3]=>[2,4,1,6,5,3]=>[2,4,1,5,3]=>0000 [5,6,4,2,3,1]=>[3,4,2,6,5,1]=>[3,4,2,5,1]=>0000 [5,6,4,3,1,2]=>[3,1,4,6,5,2]=>[3,1,4,5,2]=>0000 [5,6,4,3,2,1]=>[2,3,4,6,5,1]=>[2,3,4,5,1]=>0000 [6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[1,2,3,4,5]=>1111 [6,1,2,3,5,4]=>[6,1,2,5,3,4]=>[1,2,5,3,4]=>1100 [6,1,2,4,3,5]=>[6,1,4,2,3,5]=>[1,4,2,3,5]=>1001 [6,1,2,4,5,3]=>[6,1,5,2,4,3]=>[1,5,2,4,3]=>1000 [6,1,2,5,3,4]=>[6,1,5,3,2,4]=>[1,5,3,2,4]=>1000 [6,1,2,5,4,3]=>[6,1,4,5,2,3]=>[1,4,5,2,3]=>1000 [6,1,3,2,4,5]=>[6,3,1,2,4,5]=>[3,1,2,4,5]=>0011 [6,1,3,2,5,4]=>[6,3,1,5,2,4]=>[3,1,5,2,4]=>0000 [6,1,3,4,2,5]=>[6,4,1,3,2,5]=>[4,1,3,2,5]=>0001 [6,1,3,4,5,2]=>[6,5,1,2,3,4]=>[5,1,2,3,4]=>0000 [6,1,3,5,2,4]=>[6,5,1,3,4,2]=>[5,1,3,4,2]=>0000 [6,1,3,5,4,2]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>0000 [6,1,4,2,3,5]=>[6,4,2,1,3,5]=>[4,2,1,3,5]=>0001 [6,1,4,2,5,3]=>[6,4,5,1,2,3]=>[4,5,1,2,3]=>0000 [6,1,4,3,2,5]=>[6,3,4,1,2,5]=>[3,4,1,2,5]=>0001 [6,1,4,3,5,2]=>[6,5,4,1,3,2]=>[5,4,1,3,2]=>0000 [6,1,4,5,2,3]=>[6,5,2,1,4,3]=>[5,2,1,4,3]=>0000 [6,1,4,5,3,2]=>[6,3,5,1,4,2]=>[3,5,1,4,2]=>0000 [6,1,5,2,3,4]=>[6,5,2,3,1,4]=>[5,2,3,1,4]=>0000 [6,1,5,2,4,3]=>[6,5,4,2,1,3]=>[5,4,2,1,3]=>0000 [6,1,5,3,2,4]=>[6,3,5,2,1,4]=>[3,5,2,1,4]=>0000 [6,1,5,3,4,2]=>[6,4,5,3,1,2]=>[4,5,3,1,2]=>0000 [6,1,5,4,2,3]=>[6,4,2,5,1,3]=>[4,2,5,1,3]=>0000 [6,1,5,4,3,2]=>[6,3,4,5,1,2]=>[3,4,5,1,2]=>0000 [6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[2,1,3,4,5]=>0111 [6,2,1,3,5,4]=>[2,6,1,5,3,4]=>[2,1,5,3,4]=>0100 [6,2,1,4,3,5]=>[2,6,4,1,3,5]=>[2,4,1,3,5]=>0001 [6,2,1,4,5,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>0000 [6,2,1,5,3,4]=>[2,6,5,3,1,4]=>[2,5,3,1,4]=>0000 [6,2,1,5,4,3]=>[2,6,4,5,1,3]=>[2,4,5,1,3]=>0000 [6,2,3,1,4,5]=>[3,6,2,1,4,5]=>[3,2,1,4,5]=>0011 [6,2,3,1,5,4]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>0000 [6,2,3,4,1,5]=>[4,6,2,3,1,5]=>[4,2,3,1,5]=>0001 [6,2,3,4,5,1]=>[5,6,2,3,4,1]=>[5,2,3,4,1]=>0000 [6,2,3,5,1,4]=>[5,6,2,1,3,4]=>[5,2,1,3,4]=>0000 [6,2,3,5,4,1]=>[4,5,2,6,1,3]=>[4,5,2,1,3]=>0000 [6,2,4,1,3,5]=>[4,6,1,2,3,5]=>[4,1,2,3,5]=>0001 [6,2,4,1,5,3]=>[4,6,5,2,1,3]=>[4,5,2,1,3]=>0000 [6,2,4,3,1,5]=>[3,4,6,1,2,5]=>[3,4,1,2,5]=>0001 [6,2,4,3,5,1]=>[5,6,4,2,3,1]=>[5,4,2,3,1]=>0000 [6,2,4,5,1,3]=>[5,6,1,3,2,4]=>[5,1,3,2,4]=>0000 [6,2,4,5,3,1]=>[3,5,6,2,1,4]=>[3,5,2,1,4]=>0000 [6,2,5,1,3,4]=>[5,6,1,2,4,3]=>[5,1,2,4,3]=>0000 [6,2,5,1,4,3]=>[5,6,4,1,2,3]=>[5,4,1,2,3]=>0000 [6,2,5,3,1,4]=>[3,5,6,1,4,2]=>[3,5,1,4,2]=>0000 [6,2,5,3,4,1]=>[4,6,5,3,2,1]=>[4,5,3,2,1]=>0000 [6,2,5,4,1,3]=>[4,5,1,6,3,2]=>[4,5,1,3,2]=>0000 [6,2,5,4,3,1]=>[3,4,5,6,2,1]=>[3,4,5,2,1]=>0000 [6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[3,1,2,4,5]=>0011 [6,3,1,2,5,4]=>[3,1,6,5,2,4]=>[3,1,5,2,4]=>0000 [6,3,1,4,2,5]=>[3,6,4,2,1,5]=>[3,4,2,1,5]=>0001 [6,3,1,4,5,2]=>[3,6,5,1,2,4]=>[3,5,1,2,4]=>0000 [6,3,1,5,2,4]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>0000 [6,3,1,5,4,2]=>[3,6,4,5,2,1]=>[3,4,5,2,1]=>0000 [6,3,2,1,4,5]=>[2,3,6,1,4,5]=>[2,3,1,4,5]=>0011 [6,3,2,1,5,4]=>[2,3,6,5,1,4]=>[2,3,5,1,4]=>0000 [6,3,2,4,1,5]=>[4,3,6,2,1,5]=>[4,3,2,1,5]=>0001 [6,3,2,4,5,1]=>[5,3,6,2,4,1]=>[5,3,2,4,1]=>0000 [6,3,2,5,1,4]=>[5,3,6,1,2,4]=>[5,3,1,2,4]=>0000 [6,3,2,5,4,1]=>[4,3,5,6,1,2]=>[4,3,5,1,2]=>0000 [6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[4,1,3,2,5]=>0001 [6,3,4,1,5,2]=>[4,5,6,3,1,2]=>[4,5,3,1,2]=>0000 [6,3,4,2,1,5]=>[2,4,6,3,1,5]=>[2,4,3,1,5]=>0001 [6,3,4,2,5,1]=>[5,4,6,3,2,1]=>[5,4,3,2,1]=>0000 [6,3,4,5,1,2]=>[5,1,6,3,4,2]=>[5,1,3,4,2]=>0000 [6,3,4,5,2,1]=>[2,5,6,3,4,1]=>[2,5,3,4,1]=>0000 [6,3,5,1,2,4]=>[5,1,6,2,3,4]=>[5,1,2,3,4]=>0000 [6,3,5,1,4,2]=>[5,4,6,1,3,2]=>[5,4,1,3,2]=>0000 [6,3,5,2,1,4]=>[2,5,6,1,3,4]=>[2,5,1,3,4]=>0000 [6,3,5,2,4,1]=>[4,5,6,2,3,1]=>[4,5,2,3,1]=>0000 [6,3,5,4,1,2]=>[4,1,5,6,2,3]=>[4,1,5,2,3]=>0000 [6,3,5,4,2,1]=>[2,4,5,6,1,3]=>[2,4,5,1,3]=>0000 [6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[4,1,2,3,5]=>0001 [6,4,1,2,5,3]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>0000 [6,4,1,3,2,5]=>[4,3,1,6,2,5]=>[4,3,1,2,5]=>0001 [6,4,1,3,5,2]=>[4,6,1,5,2,3]=>[4,1,5,2,3]=>0000 [6,4,1,5,2,3]=>[4,6,2,5,3,1]=>[4,2,5,3,1]=>0000 [6,4,1,5,3,2]=>[4,3,6,5,2,1]=>[4,3,5,2,1]=>0000 [6,4,2,1,3,5]=>[2,4,1,6,3,5]=>[2,4,1,3,5]=>0001 [6,4,2,1,5,3]=>[2,4,6,5,3,1]=>[2,4,5,3,1]=>0000 [6,4,2,3,1,5]=>[3,4,2,6,1,5]=>[3,4,2,1,5]=>0001 [6,4,2,3,5,1]=>[5,4,2,6,3,1]=>[5,4,2,3,1]=>0000 [6,4,2,5,1,3]=>[5,4,1,6,2,3]=>[5,4,1,2,3]=>0000 [6,4,2,5,3,1]=>[3,5,4,6,1,2]=>[3,5,4,1,2]=>0000 [6,4,3,1,2,5]=>[3,1,4,6,2,5]=>[3,1,4,2,5]=>0001 [6,4,3,1,5,2]=>[3,4,6,5,1,2]=>[3,4,5,1,2]=>0000 [6,4,3,2,1,5]=>[2,3,4,6,1,5]=>[2,3,4,1,5]=>0001 [6,4,3,2,5,1]=>[5,3,4,6,2,1]=>[5,3,4,2,1]=>0000 [6,4,3,5,1,2]=>[5,1,4,6,3,2]=>[5,1,4,3,2]=>0000 [6,4,3,5,2,1]=>[2,5,4,6,3,1]=>[2,5,4,3,1]=>0000 [6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[5,1,2,4,3]=>0000 [6,4,5,1,3,2]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>0000 [6,4,5,2,1,3]=>[2,5,1,6,4,3]=>[2,5,1,4,3]=>0000 [6,4,5,2,3,1]=>[3,5,2,6,4,1]=>[3,5,2,4,1]=>0000 [6,4,5,3,1,2]=>[3,1,5,6,4,2]=>[3,1,5,4,2]=>0000 [6,4,5,3,2,1]=>[2,3,5,6,4,1]=>[2,3,5,4,1]=>0000 [6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[5,1,2,3,4]=>0000 [6,5,1,2,4,3]=>[5,1,4,2,6,3]=>[5,1,4,2,3]=>0000 [6,5,1,3,2,4]=>[5,3,1,2,6,4]=>[5,3,1,2,4]=>0000 [6,5,1,3,4,2]=>[5,4,1,3,6,2]=>[5,4,1,3,2]=>0000 [6,5,1,4,2,3]=>[5,4,2,1,6,3]=>[5,4,2,1,3]=>0000 [6,5,1,4,3,2]=>[5,3,4,1,6,2]=>[5,3,4,1,2]=>0000 [6,5,2,1,3,4]=>[2,5,1,3,6,4]=>[2,5,1,3,4]=>0000 [6,5,2,1,4,3]=>[2,5,4,1,6,3]=>[2,5,4,1,3]=>0000 [6,5,2,3,1,4]=>[3,5,2,1,6,4]=>[3,5,2,1,4]=>0000 [6,5,2,3,4,1]=>[4,5,2,3,6,1]=>[4,5,2,3,1]=>0000 [6,5,2,4,1,3]=>[4,5,1,2,6,3]=>[4,5,1,2,3]=>0000 [6,5,2,4,3,1]=>[3,4,5,1,6,2]=>[3,4,5,1,2]=>0000 [6,5,3,1,2,4]=>[3,1,5,2,6,4]=>[3,1,5,2,4]=>0000 [6,5,3,1,4,2]=>[3,5,4,2,6,1]=>[3,5,4,2,1]=>0000 [6,5,3,2,1,4]=>[2,3,5,1,6,4]=>[2,3,5,1,4]=>0000 [6,5,3,2,4,1]=>[4,3,5,2,6,1]=>[4,3,5,2,1]=>0000 [6,5,3,4,1,2]=>[4,1,5,3,6,2]=>[4,1,5,3,2]=>0000 [6,5,3,4,2,1]=>[2,4,5,3,6,1]=>[2,4,5,3,1]=>0000 [6,5,4,1,2,3]=>[4,1,2,5,6,3]=>[4,1,2,5,3]=>0000 [6,5,4,1,3,2]=>[4,3,1,5,6,2]=>[4,3,1,5,2]=>0000 [6,5,4,2,1,3]=>[2,4,1,5,6,3]=>[2,4,1,5,3]=>0000 [6,5,4,2,3,1]=>[3,4,2,5,6,1]=>[3,4,2,5,1]=>0000 [6,5,4,3,1,2]=>[3,1,4,5,6,2]=>[3,1,4,5,2]=>0000 [6,5,4,3,2,1]=>[2,3,4,5,6,1]=>[2,3,4,5,1]=>0000 [1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6]=>11111 [1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,6]=>11111 [1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5]=>11110 [1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,5]=>11110 [1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,5,6]=>11111 [1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,6,5]=>11110 [1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6]=>11101 [1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,6]=>11101 [1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4]=>11100 [1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[1,2,3,5,6,4]=>11100 [1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[1,2,3,5,4,6]=>11101 [1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[1,2,3,6,5,4]=>11100 [1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5]=>11100 [1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[1,2,3,6,4,5]=>11100 [1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,5,6,4]=>11100 [1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,4]=>11100 [1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[1,2,3,4,6,5]=>11110 [1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[1,2,3,5,6,4]=>11100 [1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,4,5,6]=>11111 [1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,5]=>11100 [1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,5,4,6]=>11101 [1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[1,2,3,6,5,4]=>11100 [1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,4,5]=>11100 [1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[1,2,3,5,6,4]=>11100 [1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6]=>11011 [1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,6]=>11011 [1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5]=>11010 [1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,5]=>11010 [1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,5,6]=>11011 [1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,6,5]=>11010 [1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6]=>11001 [1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,6]=>11001 [1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[1,2,6,4,5,3]=>11000 [1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,3]=>11000 [1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[1,2,4,5,3,6]=>11001 [1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>[1,2,6,4,5,3]=>11000 [1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[1,2,6,4,3,5]=>11000 [1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[1,2,6,4,3,5]=>11000 [1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[1,2,5,4,6,3]=>11000 [1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[1,2,4,6,5,3]=>11000 [1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[1,2,4,3,6,5]=>11010 [1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>[1,2,5,4,6,3]=>11000 [1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[1,2,4,3,5,6]=>11011 [1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[1,2,4,6,3,5]=>11000 [1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[1,2,5,4,3,6]=>11001 [1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]=>[1,2,6,4,5,3]=>11000 [1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[1,2,6,4,3,5]=>11000 [1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>[1,2,5,4,6,3]=>11000 [1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6]=>11001 [1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,6]=>11001 [1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[1,2,5,6,3,4]=>11000 [1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[1,2,5,3,6,4]=>11000 [1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[1,2,5,3,4,6]=>11001 [1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[1,2,5,6,3,4]=>11000 [1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,4,5,3,6]=>11001 [1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[1,2,4,5,3,6]=>11001 [1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3]=>11000 [1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[1,2,5,4,6,3]=>11000 [1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[1,2,5,4,3,6]=>11001 [1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>[1,2,6,5,4,3]=>11000 [1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[1,2,6,3,5,4]=>11000 [1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[1,2,6,5,3,4]=>11000 [1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[1,2,4,6,5,3]=>11000 [1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[1,2,6,5,4,3]=>11000 [1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[1,2,3,5,6,4]=>11100 [1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>[1,2,4,5,6,3]=>11000 [1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[1,2,3,5,4,6]=>11101 [1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[1,2,6,5,3,4]=>11000 [1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[1,2,4,5,3,6]=>11001 [1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]=>[1,2,6,5,4,3]=>11000 [1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[1,2,6,3,5,4]=>11000 [1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>[1,2,4,6,5,3]=>11000 [1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5]=>11000 [1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,3,4,5]=>11000 [1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[1,2,6,5,3,4]=>11000 [1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[1,2,6,3,5,4]=>11000 [1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[1,2,6,4,3,5]=>11000 [1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[1,2,6,5,3,4]=>11000 [1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,4,6,3,5]=>11000 [1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[1,2,4,6,3,5]=>11000 [1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[1,2,5,6,4,3]=>11000 [1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]=>[1,2,6,4,5,3]=>11000 [1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,5]=>11000 [1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4]=>[1,2,5,6,3,4]=>11000 [1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,3,6,4]=>11000 [1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[1,2,5,6,4,3]=>11000 [1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[1,2,4,5,6,3]=>11000 [1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>[1,2,5,6,4,3]=>11000 [1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[1,2,3,6,5,4]=>11100 [1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>[1,2,4,6,5,3]=>11000 [1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[1,2,3,4,6,5]=>11110 [1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[1,2,5,3,6,4]=>11000 [1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[1,2,4,3,6,5]=>11010 [1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]=>[1,2,5,4,6,3]=>11000 [1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[1,2,5,3,6,4]=>11000 [1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>[1,2,4,5,6,3]=>11000 [1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,3,4,5,6]=>11111 [1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[1,2,3,6,4,5]=>11100 [1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[1,2,5,3,4,6]=>11001 [1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[1,2,6,3,5,4]=>11000 [1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[1,2,6,4,3,5]=>11000 [1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[1,2,5,6,3,4]=>11000 [1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[1,2,4,3,5,6]=>11011 [1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[1,2,4,6,3,5]=>11000 [1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[1,2,5,4,3,6]=>11001 [1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]=>[1,2,6,4,5,3]=>11000 [1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[1,2,6,3,4,5]=>11000 [1,2,7,4,6,5,3]=>[1,2,5,6,7,3,4]=>[1,2,5,6,3,4]=>11000 [1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,3,4,6]=>11001 [1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[1,2,5,6,4,3]=>11000 [1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[1,2,4,5,3,6]=>11001 [1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>[1,2,6,5,4,3]=>11000 [1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[1,2,6,3,5,4]=>11000 [1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]=>[1,2,4,6,5,3]=>11000 [1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,4,5]=>11000 [1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[1,2,6,5,3,4]=>11000 [1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[1,2,4,6,3,5]=>11000 [1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]=>[1,2,5,6,4,3]=>11000 [1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[1,2,5,3,6,4]=>11000 [1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[1,2,4,5,6,3]=>11000 [1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6]=>10111 [1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,6]=>10111 [1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5]=>10110 [1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,5]=>10110 [1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,5,6]=>10111 [1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,6,5]=>10110 [1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6]=>10101 [1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,6]=>10101 [1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4]=>10100 [1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[1,3,2,5,6,4]=>10100 [1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[1,3,2,5,4,6]=>10101 [1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>[1,3,2,6,5,4]=>10100 [1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5]=>10100 [1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[1,3,2,6,4,5]=>10100 [1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4]=>10100 [1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[1,3,2,6,5,4]=>10100 [1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[1,3,2,4,6,5]=>10110 [1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>[1,3,2,5,6,4]=>10100 [1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,4,5,6]=>10111 [1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,5]=>10100 [1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,5,4,6]=>10101 [1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>[1,3,2,6,5,4]=>10100 [1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,4,5]=>10100 [1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[1,3,2,5,6,4]=>10100 [1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6]=>10011 [1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,6]=>10011 [1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5]=>10010 [1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[1,4,3,2,6,5]=>10010 [1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[1,4,3,2,5,6]=>10011 [1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>[1,4,3,2,6,5]=>10010 [1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[1,5,3,4,2,6]=>10001 [1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[1,5,3,4,2,6]=>10001 [1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[1,6,3,4,5,2]=>10000 [1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,3,4,5,6,2]=>10000 [1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[1,3,4,5,2,6]=>10001 [1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>[1,6,3,4,5,2]=>10000 [1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[1,6,3,4,2,5]=>10000 [1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[1,6,3,4,2,5]=>10000 [1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>[1,5,3,4,6,2]=>10000 [1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>[1,3,4,6,5,2]=>10000 [1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[1,3,4,2,6,5]=>10010 [1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]=>[1,5,3,4,6,2]=>10000 [1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[1,3,4,2,5,6]=>10011 [1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[1,3,4,6,2,5]=>10000 [1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>[1,5,3,4,2,6]=>10001 [1,3,4,7,5,6,2]=>[1,6,3,4,7,5,2]=>[1,6,3,4,5,2]=>10000 [1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]=>[1,6,3,4,2,5]=>10000 [1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]=>[1,5,3,4,6,2]=>10000 [1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[1,5,3,2,4,6]=>10001 [1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[1,5,3,2,4,6]=>10001 [1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[1,5,3,6,2,4]=>10000 [1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[1,5,3,2,6,4]=>10000 [1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[1,5,3,2,4,6]=>10001 [1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4]=>[1,5,3,6,2,4]=>10000 [1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[1,4,3,5,2,6]=>10001 [1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>[1,4,3,5,2,6]=>10001 [1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[1,6,3,5,4,2]=>10000 [1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>[1,3,5,4,6,2]=>10000 [1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]=>[1,3,5,4,2,6]=>10001 [1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]=>[1,6,3,5,4,2]=>10000 [1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[1,6,3,2,5,4]=>10000 [1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[1,6,3,5,2,4]=>10000 [1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>[1,4,3,6,5,2]=>10000 [1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>[1,3,6,5,4,2]=>10000 [1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[1,3,2,5,6,4]=>10100 [1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]=>[1,4,3,5,6,2]=>10000 [1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[1,3,2,5,4,6]=>10101 [1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[1,3,6,5,2,4]=>10000 [1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]=>[1,4,3,5,2,6]=>10001 [1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]=>[1,6,3,5,4,2]=>10000 [1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]=>[1,6,3,2,5,4]=>10000 [1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]=>[1,4,3,6,5,2]=>10000 [1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[1,6,3,2,4,5]=>10000 [1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[1,6,3,2,4,5]=>10000 [1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[1,6,3,5,2,4]=>10000 [1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[1,6,3,2,5,4]=>10000 [1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[1,6,3,4,2,5]=>10000 [1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4]=>[1,6,3,5,2,4]=>10000 [1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[1,4,3,6,2,5]=>10000 [1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5]=>[1,4,3,6,2,5]=>10000 [1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]=>[1,5,3,6,4,2]=>10000 [1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]=>[1,3,6,4,5,2]=>10000 [1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]=>[1,3,6,2,4,5]=>10000 [1,3,6,4,7,5,2]=>[1,5,3,7,6,2,4]=>[1,5,3,6,2,4]=>10000 [1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[1,5,3,2,6,4]=>10000 [1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2]=>[1,5,3,6,4,2]=>10000 [1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2]=>10000 [1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]=>[1,3,5,6,4,2]=>10000 [1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]=>[1,3,2,6,5,4]=>10100 [1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]=>[1,4,3,6,5,2]=>10000 [1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[1,3,2,4,6,5]=>10110 [1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[1,3,5,2,6,4]=>10000 [1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]=>[1,4,3,2,6,5]=>10010 [1,3,6,7,4,5,2]=>[1,5,3,7,4,6,2]=>[1,5,3,4,6,2]=>10000 [1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]=>[1,5,3,2,6,4]=>10000 [1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]=>[1,4,3,5,6,2]=>10000 [1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[1,3,2,4,5,6]=>10111 [1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[1,3,2,6,4,5]=>10100 [1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[1,3,5,2,4,6]=>10001 [1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[1,3,6,2,5,4]=>10000 [1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[1,3,6,4,2,5]=>10000 [1,3,7,2,6,5,4]=>[1,7,3,5,6,2,4]=>[1,3,5,6,2,4]=>10000 [1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[1,4,3,2,5,6]=>10011 [1,3,7,4,2,6,5]=>[1,4,3,7,6,2,5]=>[1,4,3,6,2,5]=>10000 [1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]=>[1,5,3,4,2,6]=>10001 [1,3,7,4,5,6,2]=>[1,6,3,7,4,5,2]=>[1,6,3,4,5,2]=>10000 [1,3,7,4,6,2,5]=>[1,6,3,7,2,4,5]=>[1,6,3,2,4,5]=>10000 [1,3,7,4,6,5,2]=>[1,5,3,6,7,2,4]=>[1,5,3,6,2,4]=>10000 [1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[1,5,3,2,4,6]=>10001 [1,3,7,5,2,6,4]=>[1,5,3,7,6,4,2]=>[1,5,3,6,4,2]=>10000 [1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]=>[1,4,3,5,2,6]=>10001 [1,3,7,5,4,6,2]=>[1,6,3,5,7,4,2]=>[1,6,3,5,4,2]=>10000 [1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]=>[1,6,3,2,5,4]=>10000 [1,3,7,5,6,4,2]=>[1,4,3,6,7,5,2]=>[1,4,3,6,5,2]=>10000 [1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[1,6,3,2,4,5]=>10000 [1,3,7,6,2,5,4]=>[1,6,3,5,2,7,4]=>[1,6,3,5,2,4]=>10000 [1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]=>[1,4,3,6,2,5]=>10000 [1,3,7,6,4,5,2]=>[1,5,3,6,4,7,2]=>[1,5,3,6,4,2]=>10000 [1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]=>[1,5,3,2,6,4]=>10000 [1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]=>[1,4,3,5,6,2]=>10000 [1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6]=>10011 [1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,6]=>10011 [1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5]=>10010 [1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,5]=>10010 [1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,5,6]=>10011 [1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,6,5]=>10010 [1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[1,4,5,2,3,6]=>10001 [1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[1,4,5,2,3,6]=>10001 [1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[1,4,6,2,5,3]=>10000 [1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[1,4,2,5,6,3]=>10000 [1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[1,4,2,5,3,6]=>10001 [1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3]=>[1,4,6,2,5,3]=>10000 [1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[1,4,6,2,3,5]=>10000 [1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[1,4,6,2,3,5]=>10000 [1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[1,4,5,2,6,3]=>10000 [1,4,2,6,5,7,3]=>[1,4,7,2,6,5,3]=>[1,4,2,6,5,3]=>10000 [1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[1,4,2,3,6,5]=>10010 [1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3]=>[1,4,5,2,6,3]=>10000 [1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[1,4,2,3,5,6]=>10011 [1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[1,4,2,6,3,5]=>10000 [1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[1,4,5,2,3,6]=>10001 [1,4,2,7,5,6,3]=>[1,4,6,2,7,5,3]=>[1,4,6,2,5,3]=>10000 [1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[1,4,6,2,3,5]=>10000 [1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3]=>[1,4,5,2,6,3]=>10000 [1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,3,4,2,5,6]=>10011 [1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,3,4,2,5,6]=>10011 [1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,3,4,2,6,5]=>10010 [1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>[1,3,4,2,6,5]=>10010 [1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[1,3,4,2,5,6]=>10011 [1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[1,3,4,2,6,5]=>10010 [1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6]=>10001 [1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,6]=>10001 [1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[1,6,4,3,5,2]=>10000 [1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>[1,4,3,5,6,2]=>10000 [1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]=>[1,4,3,5,2,6]=>10001 [1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]=>[1,6,4,3,5,2]=>10000 [1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[1,6,4,3,2,5]=>10000 [1,4,3,6,2,7,5]=>[1,6,4,3,7,2,5]=>[1,6,4,3,2,5]=>10000 [1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>[1,5,4,3,6,2]=>10000 [1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>[1,4,3,6,5,2]=>10000 [1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]=>[1,4,3,2,6,5]=>10010 [1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]=>[1,5,4,3,6,2]=>10000 [1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[1,4,3,2,5,6]=>10011 [1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5]=>[1,4,3,6,2,5]=>10000 [1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]=>[1,5,4,3,2,6]=>10001 [1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]=>[1,6,4,3,5,2]=>10000 [1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]=>[1,6,4,3,2,5]=>10000 [1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]=>[1,5,4,3,6,2]=>10000 [1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[1,5,2,4,3,6]=>10001 [1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[1,5,2,4,3,6]=>10001 [1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[1,5,6,4,2,3]=>10000 [1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[1,5,4,2,6,3]=>10000 [1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[1,5,4,2,3,6]=>10001 [1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3]=>[1,5,6,4,2,3]=>10000 [1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6]=>10001 [1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>[1,3,5,4,2,6]=>10001 [1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2]=>10000 [1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>[1,5,4,3,6,2]=>10000 [1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]=>[1,5,4,3,2,6]=>10001 [1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]=>[1,6,5,4,3,2]=>10000 [1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[1,6,2,4,5,3]=>10000 [1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[1,6,4,5,2,3]=>10000 [1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>[1,3,6,4,5,2]=>10000 [1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>[1,6,4,5,3,2]=>10000 [1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[1,2,4,5,6,3]=>11000 [1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]=>[1,3,4,5,6,2]=>10000 [1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[1,2,4,5,3,6]=>11001 [1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[1,6,4,5,2,3]=>10000 [1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]=>[1,3,4,5,2,6]=>10001 [1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]=>[1,6,4,5,3,2]=>10000 [1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]=>[1,6,2,4,5,3]=>10000 [1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]=>[1,3,6,4,5,2]=>10000 [1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[1,6,2,4,3,5]=>10000 [1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[1,6,2,4,3,5]=>10000 [1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[1,6,5,4,2,3]=>10000 [1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[1,6,4,2,5,3]=>10000 [1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[1,6,4,3,2,5]=>10000 [1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3]=>[1,6,5,4,2,3]=>10000 [1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[1,3,6,4,2,5]=>10000 [1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5]=>[1,3,6,4,2,5]=>10000 [1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]=>[1,5,6,4,3,2]=>10000 [1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]=>[1,6,4,3,5,2]=>10000 [1,4,6,3,7,2,5]=>[1,7,6,4,2,3,5]=>[1,6,4,2,3,5]=>10000 [1,4,6,3,7,5,2]=>[1,5,7,4,6,2,3]=>[1,5,4,6,2,3]=>10000 [1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[1,5,2,4,6,3]=>10000 [1,4,6,5,2,7,3]=>[1,5,6,4,7,3,2]=>[1,5,6,4,3,2]=>10000 [1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>[1,3,5,4,6,2]=>10000 [1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]=>[1,5,4,6,3,2]=>10000 [1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]=>[1,2,4,6,5,3]=>11000 [1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]=>[1,3,4,6,5,2]=>10000 [1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[1,2,4,3,6,5]=>11010 [1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[1,5,4,2,6,3]=>10000 [1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]=>[1,3,4,2,6,5]=>10010 [1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]=>[1,5,4,3,6,2]=>10000 [1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]=>[1,5,2,4,6,3]=>10000 [1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]=>[1,3,5,4,6,2]=>10000 [1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[1,2,4,3,5,6]=>11011 [1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[1,2,4,6,3,5]=>11000 [1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[1,5,4,2,3,6]=>10001 [1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[1,6,4,2,5,3]=>10000 [1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[1,6,4,3,2,5]=>10000 [1,4,7,2,6,5,3]=>[1,7,5,4,6,2,3]=>[1,5,4,6,2,3]=>10000 [1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[1,3,4,2,5,6]=>10011 [1,4,7,3,2,6,5]=>[1,3,7,4,6,2,5]=>[1,3,4,6,2,5]=>10000 [1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]=>[1,5,4,3,2,6]=>10001 [1,4,7,3,5,6,2]=>[1,6,7,4,3,5,2]=>[1,6,4,3,5,2]=>10000 [1,4,7,3,6,2,5]=>[1,6,7,4,2,3,5]=>[1,6,4,2,3,5]=>10000 [1,4,7,3,6,5,2]=>[1,5,6,4,7,2,3]=>[1,5,6,4,2,3]=>10000 [1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[1,5,2,4,3,6]=>10001 [1,4,7,5,2,6,3]=>[1,5,7,4,6,3,2]=>[1,5,4,6,3,2]=>10000 [1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]=>[1,3,5,4,2,6]=>10001 [1,4,7,5,3,6,2]=>[1,6,5,4,7,3,2]=>[1,6,5,4,3,2]=>10000 [1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]=>[1,6,2,4,5,3]=>10000 [1,4,7,5,6,3,2]=>[1,3,6,4,7,5,2]=>[1,3,6,4,5,2]=>10000 [1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[1,6,2,4,3,5]=>10000 [1,4,7,6,2,5,3]=>[1,6,5,4,2,7,3]=>[1,6,5,4,2,3]=>10000 [1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]=>[1,3,6,4,2,5]=>10000 [1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]=>[1,5,6,4,3,2]=>10000 [1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]=>[1,5,2,4,6,3]=>10000 [1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]=>[1,3,5,4,6,2]=>10000 [1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6]=>10001 [1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,6]=>10001 [1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,2,6,3,4]=>10000 [1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[1,5,2,3,6,4]=>10000 [1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,2,3,4,6]=>10001 [1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[1,5,2,6,3,4]=>10000 [1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[1,5,4,2,3,6]=>10001 [1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[1,5,4,2,3,6]=>10001 [1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[1,5,6,2,4,3]=>10000 [1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[1,5,2,4,6,3]=>10000 [1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[1,5,2,4,3,6]=>10001 [1,5,2,4,7,6,3]=>[1,5,6,2,4,7,3]=>[1,5,6,2,4,3]=>10000 [1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[1,5,6,3,2,4]=>10000 [1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[1,5,6,2,3,4]=>10000 [1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[1,5,4,6,2,3]=>10000 [1,5,2,6,4,7,3]=>[1,5,7,6,2,4,3]=>[1,5,6,2,4,3]=>10000 [1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[1,5,3,2,6,4]=>10000 [1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3]=>[1,5,4,2,6,3]=>10000 [1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[1,5,3,2,4,6]=>10001 [1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[1,5,6,2,3,4]=>10000 [1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[1,5,4,2,3,6]=>10001 [1,5,2,7,4,6,3]=>[1,5,6,7,2,4,3]=>[1,5,6,2,4,3]=>10000 [1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[1,5,6,3,2,4]=>10000 [1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3]=>[1,5,4,6,2,3]=>10000 [1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,3,5,2,4,6]=>10001 [1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[1,3,5,2,4,6]=>10001 [1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[1,3,5,6,2,4]=>10000 [1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4]=>[1,3,5,2,6,4]=>10000 [1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[1,3,5,2,4,6]=>10001 [1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4]=>[1,3,5,6,2,4]=>10000 [1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[1,4,5,3,2,6]=>10001 [1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>[1,4,5,3,2,6]=>10001 [1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]=>[1,6,5,3,4,2]=>10000 [1,5,3,4,6,7,2]=>[1,7,5,3,4,6,2]=>[1,5,3,4,6,2]=>10000 [1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]=>[1,5,3,4,2,6]=>10001 [1,5,3,4,7,6,2]=>[1,6,5,3,4,7,2]=>[1,6,5,3,4,2]=>10000 [1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[1,6,5,2,3,4]=>10000 [1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]=>[1,6,5,3,2,4]=>10000 [1,5,3,6,4,2,7]=>[1,4,6,5,2,3,7]=>[1,4,6,5,2,3]=>10000 [1,5,3,6,4,7,2]=>[1,7,5,6,3,4,2]=>[1,5,6,3,4,2]=>10000 [1,5,3,6,7,2,4]=>[1,7,5,2,3,6,4]=>[1,5,2,3,6,4]=>10000 [1,5,3,6,7,4,2]=>[1,4,7,5,2,6,3]=>[1,4,5,2,6,3]=>10000 [1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[1,5,2,3,4,6]=>10001 [1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]=>[1,5,6,3,2,4]=>10000 [1,5,3,7,4,2,6]=>[1,4,7,5,2,3,6]=>[1,4,5,2,3,6]=>10001 [1,5,3,7,4,6,2]=>[1,6,5,7,3,4,2]=>[1,6,5,3,4,2]=>10000 [1,5,3,7,6,2,4]=>[1,6,5,2,3,7,4]=>[1,6,5,2,3,4]=>10000 [1,5,3,7,6,4,2]=>[1,4,6,5,2,7,3]=>[1,4,6,5,2,3]=>10000 [1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,2,5,3,6]=>10001 [1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,2,5,3,6]=>10001 [1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[1,4,5,6,3,2]=>10000 [1,5,4,2,6,7,3]=>[1,4,5,7,3,6,2]=>[1,4,5,3,6,2]=>10000 [1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[1,4,5,3,2,6]=>10001 [1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2]=>[1,4,5,6,3,2]=>10000 [1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[1,3,4,5,2,6]=>10001 [1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[1,3,4,5,2,6]=>10001 [1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>[1,6,4,5,3,2]=>10000 [1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]=>[1,4,5,3,6,2]=>10000 [1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]=>[1,4,5,3,2,6]=>10001 [1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]=>[1,6,4,5,3,2]=>10000 [1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[1,6,2,5,4,3]=>10000 [1,5,4,6,2,7,3]=>[1,6,7,5,4,2,3]=>[1,6,5,4,2,3]=>10000 [1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>[1,3,6,5,4,2]=>10000 [1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>10000 [1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]=>[1,2,5,4,6,3]=>11000 [1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]=>[1,3,5,4,6,2]=>10000 [1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[1,2,5,4,3,6]=>11001 [1,5,4,7,2,6,3]=>[1,7,6,5,4,2,3]=>[1,6,5,4,2,3]=>10000 [1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]=>[1,3,5,4,2,6]=>10001 [1,5,4,7,3,6,2]=>[1,6,7,5,4,3,2]=>[1,6,5,4,3,2]=>10000 [1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]=>[1,6,2,5,4,3]=>10000 [1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]=>[1,3,6,5,4,2]=>10000 [1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,3,5,4]=>10000 [1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[1,6,2,5,3,4]=>10000 [1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[1,6,4,2,5,3]=>10000 [1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[1,6,2,5,4,3]=>10000 [1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[1,6,3,5,2,4]=>10000 [1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3]=>[1,6,4,5,2,3]=>10000 [1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[1,3,6,2,5,4]=>10000 [1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4]=>[1,3,6,5,2,4]=>10000 [1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]=>[1,4,6,3,5,2]=>10000 [1,5,6,3,4,7,2]=>[1,7,6,3,5,4,2]=>[1,6,3,5,4,2]=>10000 [1,5,6,3,7,2,4]=>[1,7,6,2,5,3,4]=>[1,6,2,5,3,4]=>10000 [1,5,6,3,7,4,2]=>[1,4,7,6,5,2,3]=>[1,4,6,5,2,3]=>10000 [1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[1,4,2,6,5,3]=>10000 [1,5,6,4,2,7,3]=>[1,4,6,7,5,3,2]=>[1,4,6,5,3,2]=>10000 [1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>[1,3,4,6,5,2]=>10000 [1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]=>[1,4,6,5,3,2]=>10000 [1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]=>[1,2,6,5,4,3]=>11000 [1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]=>[1,3,6,5,4,2]=>10000 [1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[1,2,3,5,6,4]=>11100 [1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[1,4,2,5,6,3]=>10000 [1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]=>[1,3,2,5,6,4]=>10100 [1,5,6,7,3,4,2]=>[1,4,7,3,5,6,2]=>[1,4,3,5,6,2]=>10000 [1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]=>[1,4,2,5,6,3]=>10000 [1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]=>[1,3,4,5,6,2]=>10000 [1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[1,2,3,5,4,6]=>11101 [1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[1,2,6,5,3,4]=>11000 [1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[1,4,2,5,3,6]=>10001 [1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[1,6,2,5,4,3]=>10000 [1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[1,6,3,5,2,4]=>10000 [1,5,7,2,6,4,3]=>[1,7,4,6,5,2,3]=>[1,4,6,5,2,3]=>10000 [1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[1,3,2,5,4,6]=>10101 [1,5,7,3,2,6,4]=>[1,3,7,6,5,2,4]=>[1,3,6,5,2,4]=>10000 [1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]=>[1,4,3,5,2,6]=>10001 [1,5,7,3,4,6,2]=>[1,6,7,3,5,4,2]=>[1,6,3,5,4,2]=>10000 [1,5,7,3,6,2,4]=>[1,6,7,2,5,3,4]=>[1,6,2,5,3,4]=>10000 [1,5,7,3,6,4,2]=>[1,4,6,7,5,2,3]=>[1,4,6,5,2,3]=>10000 [1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[1,4,2,5,3,6]=>10001 [1,5,7,4,2,6,3]=>[1,4,7,6,5,3,2]=>[1,4,6,5,3,2]=>10000 [1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]=>[1,3,4,5,2,6]=>10001 [1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]=>[1,6,4,5,3,2]=>10000 [1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]=>[1,6,2,5,4,3]=>10000 [1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]=>[1,3,6,5,4,2]=>10000 [1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[1,6,2,3,5,4]=>10000 [1,5,7,6,2,4,3]=>[1,6,4,2,5,7,3]=>[1,6,4,2,5,3]=>10000 [1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]=>[1,3,6,2,5,4]=>10000 [1,5,7,6,3,4,2]=>[1,4,6,3,5,7,2]=>[1,4,6,3,5,2]=>10000 [1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]=>[1,4,2,6,5,3]=>10000 [1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]=>[1,3,4,6,5,2]=>10000 [1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5]=>10000 [1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,3,4,5]=>10000 [1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[1,6,2,5,3,4]=>10000 [1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[1,6,2,3,5,4]=>10000 [1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[1,6,2,4,3,5]=>10000 [1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[1,6,2,5,3,4]=>10000 [1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[1,6,4,2,3,5]=>10000 [1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[1,6,4,2,3,5]=>10000 [1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[1,6,5,2,4,3]=>10000 [1,6,2,4,5,7,3]=>[1,6,7,2,3,4,5]=>[1,6,2,3,4,5]=>10000 [1,6,2,4,7,3,5]=>[1,6,7,2,4,5,3]=>[1,6,2,4,5,3]=>10000 [1,6,2,4,7,5,3]=>[1,6,5,2,7,4,3]=>[1,6,5,2,4,3]=>10000 [1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[1,6,5,3,2,4]=>10000 [1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[1,6,5,2,3,4]=>10000 [1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[1,6,4,5,2,3]=>10000 [1,6,2,5,4,7,3]=>[1,6,7,5,2,4,3]=>[1,6,5,2,4,3]=>10000 [1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[1,6,3,2,5,4]=>10000 [1,6,2,5,7,4,3]=>[1,6,4,7,2,5,3]=>[1,6,4,2,5,3]=>10000 [1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[1,6,3,4,2,5]=>10000 [1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[1,6,5,3,2,4]=>10000 [1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[1,6,4,3,2,5]=>10000 [1,6,2,7,4,5,3]=>[1,6,5,7,4,2,3]=>[1,6,5,4,2,3]=>10000 [1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[1,6,5,3,2,4]=>10000 [1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3]=>[1,6,4,5,2,3]=>10000 [1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[1,3,6,2,4,5]=>10000 [1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[1,3,6,2,4,5]=>10000 [1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[1,3,6,5,2,4]=>10000 [1,6,3,2,5,7,4]=>[1,3,6,7,2,5,4]=>[1,3,6,2,5,4]=>10000 [1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[1,3,6,4,2,5]=>10000 [1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4]=>[1,3,6,5,2,4]=>10000 [1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[1,4,6,3,2,5]=>10000 [1,6,3,4,2,7,5]=>[1,4,6,3,7,2,5]=>[1,4,6,3,2,5]=>10000 [1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]=>[1,5,6,3,4,2]=>10000 [1,6,3,4,5,7,2]=>[1,7,6,3,4,5,2]=>[1,6,3,4,5,2]=>10000 [1,6,3,4,7,2,5]=>[1,7,6,3,2,4,5]=>[1,6,3,2,4,5]=>10000 [1,6,3,4,7,5,2]=>[1,5,7,3,6,2,4]=>[1,5,3,6,2,4]=>10000 [1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[1,5,6,2,3,4]=>10000 [1,6,3,5,2,7,4]=>[1,5,6,7,3,2,4]=>[1,5,6,3,2,4]=>10000 [1,6,3,5,4,2,7]=>[1,4,5,6,2,3,7]=>[1,4,5,6,2,3]=>10000 [1,6,3,5,4,7,2]=>[1,7,6,5,3,4,2]=>[1,6,5,3,4,2]=>10000 [1,6,3,5,7,2,4]=>[1,7,6,2,4,3,5]=>[1,6,2,4,3,5]=>10000 [1,6,3,5,7,4,2]=>[1,4,7,6,3,2,5]=>[1,4,6,3,2,5]=>10000 [1,6,3,7,2,4,5]=>[1,7,6,2,3,5,4]=>[1,6,2,3,5,4]=>10000 [1,6,3,7,2,5,4]=>[1,7,6,5,2,3,4]=>[1,6,5,2,3,4]=>10000 [1,6,3,7,4,2,5]=>[1,4,7,6,2,5,3]=>[1,4,6,2,5,3]=>10000 [1,6,3,7,4,5,2]=>[1,5,6,7,4,3,2]=>[1,5,6,4,3,2]=>10000 [1,6,3,7,5,2,4]=>[1,5,7,2,6,4,3]=>[1,5,2,6,4,3]=>10000 [1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2]=>[1,4,5,6,3,2]=>10000 [1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,2,6,3,5]=>10000 [1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[1,4,2,6,3,5]=>10000 [1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[1,4,6,5,3,2]=>10000 [1,6,4,2,5,7,3]=>[1,4,6,7,2,3,5]=>[1,4,6,2,3,5]=>10000 [1,6,4,2,7,3,5]=>[1,4,6,7,3,5,2]=>[1,4,6,3,5,2]=>10000 [1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2]=>[1,4,6,5,3,2]=>10000 [1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[1,3,4,6,2,5]=>10000 [1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5]=>[1,3,4,6,2,5]=>10000 [1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]=>[1,5,4,6,3,2]=>10000 [1,6,4,3,5,7,2]=>[1,7,4,6,3,5,2]=>[1,4,6,3,5,2]=>10000 [1,6,4,3,7,2,5]=>[1,7,4,6,2,3,5]=>[1,4,6,2,3,5]=>10000 [1,6,4,3,7,5,2]=>[1,5,4,7,6,2,3]=>[1,5,4,6,2,3]=>10000 [1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[1,5,2,6,4,3]=>10000 [1,6,4,5,2,7,3]=>[1,5,7,6,4,2,3]=>[1,5,6,4,2,3]=>10000 [1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]=>[1,3,5,6,4,2]=>10000 [1,6,4,5,3,7,2]=>[1,7,5,6,4,3,2]=>[1,5,6,4,3,2]=>10000 [1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]=>[1,2,6,4,5,3]=>11000 [1,6,4,5,7,3,2]=>[1,3,7,6,4,5,2]=>[1,3,6,4,5,2]=>10000 [1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[1,2,6,3,4,5]=>11000 [1,6,4,7,2,5,3]=>[1,7,5,6,2,4,3]=>[1,5,6,2,4,3]=>10000 [1,6,4,7,3,2,5]=>[1,3,7,6,2,4,5]=>[1,3,6,2,4,5]=>10000 [1,6,4,7,3,5,2]=>[1,5,7,6,3,4,2]=>[1,5,6,3,4,2]=>10000 [1,6,4,7,5,2,3]=>[1,5,2,7,6,3,4]=>[1,5,2,6,3,4]=>10000 [1,6,4,7,5,3,2]=>[1,3,5,7,6,2,4]=>[1,3,5,6,2,4]=>10000 [1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,3,6,4]=>10000 [1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[1,5,2,6,4,3]=>10000 [1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[1,5,4,2,6,3]=>10000 [1,6,5,2,4,7,3]=>[1,5,6,2,7,3,4]=>[1,5,6,2,3,4]=>10000 [1,6,5,2,7,3,4]=>[1,5,6,3,7,4,2]=>[1,5,6,3,4,2]=>10000 [1,6,5,2,7,4,3]=>[1,5,4,6,7,3,2]=>[1,5,4,6,3,2]=>10000 [1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[1,3,5,2,6,4]=>10000 [1,6,5,3,2,7,4]=>[1,3,5,6,7,4,2]=>[1,3,5,6,4,2]=>10000 [1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]=>[1,4,5,3,6,2]=>10000 [1,6,5,3,4,7,2]=>[1,7,5,3,6,4,2]=>[1,5,3,6,4,2]=>10000 [1,6,5,3,7,2,4]=>[1,7,5,2,6,3,4]=>[1,5,2,6,3,4]=>10000 [1,6,5,3,7,4,2]=>[1,4,7,5,6,2,3]=>[1,4,5,6,2,3]=>10000 [1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[1,4,2,5,6,3]=>10000 [1,6,5,4,2,7,3]=>[1,4,5,6,7,2,3]=>[1,4,5,6,2,3]=>10000 [1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[1,3,4,5,6,2]=>10000 [1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]=>[1,4,5,6,3,2]=>10000 [1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]=>[1,2,5,6,4,3]=>11000 [1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]=>[1,3,5,6,4,2]=>10000 [1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[1,2,3,6,5,4]=>11100 [1,6,5,7,2,4,3]=>[1,7,4,2,6,5,3]=>[1,4,2,6,5,3]=>10000 [1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]=>[1,3,2,6,5,4]=>10100 [1,6,5,7,3,4,2]=>[1,4,7,3,6,5,2]=>[1,4,3,6,5,2]=>10000 [1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]=>[1,4,2,6,5,3]=>10000 [1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]=>[1,3,4,6,5,2]=>10000 [1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[1,2,3,4,6,5]=>11110 [1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[1,2,5,3,6,4]=>11000 [1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[1,4,2,3,6,5]=>10010 [1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[1,5,2,4,6,3]=>10000 [1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[1,5,3,2,6,4]=>10000 [1,6,7,2,5,4,3]=>[1,7,4,5,2,6,3]=>[1,4,5,2,6,3]=>10000 [1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[1,3,2,4,6,5]=>10110 [1,6,7,3,2,5,4]=>[1,3,7,5,2,6,4]=>[1,3,5,2,6,4]=>10000 [1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]=>[1,4,3,2,6,5]=>10010 [1,6,7,3,4,5,2]=>[1,5,7,3,4,6,2]=>[1,5,3,4,6,2]=>10000 [1,6,7,3,5,2,4]=>[1,5,7,2,3,6,4]=>[1,5,2,3,6,4]=>10000 [1,6,7,3,5,4,2]=>[1,4,5,7,2,6,3]=>[1,4,5,2,6,3]=>10000 [1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[1,4,2,3,6,5]=>10010 [1,6,7,4,2,5,3]=>[1,4,7,5,3,6,2]=>[1,4,5,3,6,2]=>10000 [1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]=>[1,3,4,2,6,5]=>10010 [1,6,7,4,3,5,2]=>[1,5,4,7,3,6,2]=>[1,5,4,3,6,2]=>10000 [1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]=>[1,5,2,4,6,3]=>10000 [1,6,7,4,5,3,2]=>[1,3,5,7,4,6,2]=>[1,3,5,4,6,2]=>10000 [1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[1,5,2,3,6,4]=>10000 [1,6,7,5,2,4,3]=>[1,5,4,2,7,6,3]=>[1,5,4,2,6,3]=>10000 [1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]=>[1,3,5,2,6,4]=>10000 [1,6,7,5,3,4,2]=>[1,4,5,3,7,6,2]=>[1,4,5,3,6,2]=>10000 [1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]=>[1,4,2,5,6,3]=>10000 [1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]=>[1,3,4,5,6,2]=>10000 [1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,2,3,4,5,6]=>11111 [1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[1,2,3,6,4,5]=>11100 [1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[1,2,5,3,4,6]=>11001 [1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[1,2,6,3,5,4]=>11000 [1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[1,2,6,4,3,5]=>11000 [1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[1,2,5,6,3,4]=>11000 [1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[1,4,2,3,5,6]=>10011 [1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[1,4,2,6,3,5]=>10000 [1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[1,5,2,4,3,6]=>10001 [1,7,2,4,5,6,3]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,5]=>10000 [1,7,2,4,6,3,5]=>[1,7,6,2,4,5,3]=>[1,6,2,4,5,3]=>10000 [1,7,2,4,6,5,3]=>[1,7,5,2,6,4,3]=>[1,5,2,6,4,3]=>10000 [1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[1,5,3,2,4,6]=>10001 [1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[1,5,6,2,3,4]=>10000 [1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[1,4,5,2,3,6]=>10001 [1,7,2,5,4,6,3]=>[1,7,6,5,2,4,3]=>[1,6,5,2,4,3]=>10000 [1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[1,6,3,2,5,4]=>10000 [1,7,2,5,6,4,3]=>[1,7,4,6,2,5,3]=>[1,4,6,2,5,3]=>10000 [1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[1,6,3,4,2,5]=>10000 [1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[1,6,5,3,2,4]=>10000 [1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[1,4,6,3,2,5]=>10000 [1,7,2,6,4,5,3]=>[1,7,5,6,4,2,3]=>[1,5,6,4,2,3]=>10000 [1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[1,5,3,6,2,4]=>10000 [1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3]=>[1,4,5,6,2,3]=>10000 [1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[1,3,2,4,5,6]=>10111 [1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[1,3,2,6,4,5]=>10100 [1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[1,3,5,2,4,6]=>10001 [1,7,3,2,5,6,4]=>[1,3,7,6,2,5,4]=>[1,3,6,2,5,4]=>10000 [1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[1,3,6,4,2,5]=>10000 [1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4]=>[1,3,5,6,2,4]=>10000 [1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[1,4,3,2,5,6]=>10011 [1,7,3,4,2,6,5]=>[1,4,7,3,6,2,5]=>[1,4,3,6,2,5]=>10000 [1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]=>[1,5,3,4,2,6]=>10001 [1,7,3,4,5,6,2]=>[1,6,7,3,4,5,2]=>[1,6,3,4,5,2]=>10000 [1,7,3,4,6,2,5]=>[1,6,7,3,2,4,5]=>[1,6,3,2,4,5]=>10000 [1,7,3,4,6,5,2]=>[1,5,6,3,7,2,4]=>[1,5,6,3,2,4]=>10000 [1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[1,5,2,3,4,6]=>10001 [1,7,3,5,2,6,4]=>[1,5,7,6,3,2,4]=>[1,5,6,3,2,4]=>10000 [1,7,3,5,4,2,6]=>[1,4,5,7,2,3,6]=>[1,4,5,2,3,6]=>10001 [1,7,3,5,4,6,2]=>[1,6,7,5,3,4,2]=>[1,6,5,3,4,2]=>10000 [1,7,3,5,6,2,4]=>[1,6,7,2,4,3,5]=>[1,6,2,4,3,5]=>10000 [1,7,3,5,6,4,2]=>[1,4,6,7,3,2,5]=>[1,4,6,3,2,5]=>10000 [1,7,3,6,2,4,5]=>[1,6,7,2,3,5,4]=>[1,6,2,3,5,4]=>10000 [1,7,3,6,2,5,4]=>[1,6,7,5,2,3,4]=>[1,6,5,2,3,4]=>10000 [1,7,3,6,4,2,5]=>[1,4,6,7,2,5,3]=>[1,4,6,2,5,3]=>10000 [1,7,3,6,4,5,2]=>[1,5,7,6,4,3,2]=>[1,5,6,4,3,2]=>10000 [1,7,3,6,5,2,4]=>[1,5,6,2,7,4,3]=>[1,5,6,2,4,3]=>10000 [1,7,3,6,5,4,2]=>[1,4,5,6,7,3,2]=>[1,4,5,6,3,2]=>10000 [1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,2,3,5,6]=>10011 [1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[1,4,2,6,3,5]=>10000 [1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[1,4,5,3,2,6]=>10001 [1,7,4,2,5,6,3]=>[1,4,7,6,2,3,5]=>[1,4,6,2,3,5]=>10000 [1,7,4,2,6,3,5]=>[1,4,7,6,3,5,2]=>[1,4,6,3,5,2]=>10000 [1,7,4,2,6,5,3]=>[1,4,7,5,6,3,2]=>[1,4,5,6,3,2]=>10000 [1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[1,3,4,2,5,6]=>10011 [1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5]=>[1,3,4,6,2,5]=>10000 [1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]=>[1,5,4,3,2,6]=>10001 [1,7,4,3,5,6,2]=>[1,6,4,7,3,5,2]=>[1,6,4,3,5,2]=>10000 [1,7,4,3,6,2,5]=>[1,6,4,7,2,3,5]=>[1,6,4,2,3,5]=>10000 [1,7,4,3,6,5,2]=>[1,5,4,6,7,2,3]=>[1,5,4,6,2,3]=>10000 [1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[1,5,2,4,3,6]=>10001 [1,7,4,5,2,6,3]=>[1,5,6,7,4,2,3]=>[1,5,6,4,2,3]=>10000 [1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]=>[1,3,5,4,2,6]=>10001 [1,7,4,5,3,6,2]=>[1,6,5,7,4,3,2]=>[1,6,5,4,3,2]=>10000 [1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]=>[1,6,2,4,5,3]=>10000 [1,7,4,5,6,3,2]=>[1,3,6,7,4,5,2]=>[1,3,6,4,5,2]=>10000 [1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[1,6,2,3,4,5]=>10000 [1,7,4,6,2,5,3]=>[1,6,5,7,2,4,3]=>[1,6,5,2,4,3]=>10000 [1,7,4,6,3,2,5]=>[1,3,6,7,2,4,5]=>[1,3,6,2,4,5]=>10000 [1,7,4,6,3,5,2]=>[1,5,6,7,3,4,2]=>[1,5,6,3,4,2]=>10000 [1,7,4,6,5,2,3]=>[1,5,2,6,7,3,4]=>[1,5,2,6,3,4]=>10000 [1,7,4,6,5,3,2]=>[1,3,5,6,7,2,4]=>[1,3,5,6,2,4]=>10000 [1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,3,4,6]=>10001 [1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[1,5,2,6,4,3]=>10000 [1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[1,5,4,2,3,6]=>10001 [1,7,5,2,4,6,3]=>[1,5,7,2,6,3,4]=>[1,5,2,6,3,4]=>10000 [1,7,5,2,6,3,4]=>[1,5,7,3,6,4,2]=>[1,5,3,6,4,2]=>10000 [1,7,5,2,6,4,3]=>[1,5,4,7,6,3,2]=>[1,5,4,6,3,2]=>10000 [1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[1,3,5,2,4,6]=>10001 [1,7,5,3,2,6,4]=>[1,3,5,7,6,4,2]=>[1,3,5,6,4,2]=>10000 [1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]=>[1,4,5,3,2,6]=>10001 [1,7,5,3,4,6,2]=>[1,6,5,3,7,4,2]=>[1,6,5,3,4,2]=>10000 [1,7,5,3,6,2,4]=>[1,6,5,2,7,3,4]=>[1,6,5,2,3,4]=>10000 [1,7,5,3,6,4,2]=>[1,4,6,5,7,2,3]=>[1,4,6,5,2,3]=>10000 [1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[1,4,2,5,3,6]=>10001 [1,7,5,4,2,6,3]=>[1,4,5,7,6,2,3]=>[1,4,5,6,2,3]=>10000 [1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>[1,3,4,5,2,6]=>10001 [1,7,5,4,3,6,2]=>[1,6,4,5,7,3,2]=>[1,6,4,5,3,2]=>10000 [1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]=>[1,6,2,5,4,3]=>10000 [1,7,5,4,6,3,2]=>[1,3,6,5,7,4,2]=>[1,3,6,5,4,2]=>10000 [1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[1,6,2,3,5,4]=>10000 [1,7,5,6,2,4,3]=>[1,6,4,2,7,5,3]=>[1,6,4,2,5,3]=>10000 [1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]=>[1,3,6,2,5,4]=>10000 [1,7,5,6,3,4,2]=>[1,4,6,3,7,5,2]=>[1,4,6,3,5,2]=>10000 [1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]=>[1,4,2,6,5,3]=>10000 [1,7,5,6,4,3,2]=>[1,3,4,6,7,5,2]=>[1,3,4,6,5,2]=>10000 [1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,4,5]=>10000 [1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[1,6,2,5,3,4]=>10000 [1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[1,6,4,2,3,5]=>10000 [1,7,6,2,4,5,3]=>[1,6,5,2,4,7,3]=>[1,6,5,2,4,3]=>10000 [1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[1,6,5,3,2,4]=>10000 [1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3]=>[1,6,4,5,2,3]=>10000 [1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[1,3,6,2,4,5]=>10000 [1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4]=>[1,3,6,5,2,4]=>10000 [1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]=>[1,4,6,3,2,5]=>10000 [1,7,6,3,4,5,2]=>[1,5,6,3,4,7,2]=>[1,5,6,3,4,2]=>10000 [1,7,6,3,5,2,4]=>[1,5,6,2,3,7,4]=>[1,5,6,2,3,4]=>10000 [1,7,6,3,5,4,2]=>[1,4,5,6,2,7,3]=>[1,4,5,6,2,3]=>10000 [1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[1,4,2,6,3,5]=>10000 [1,7,6,4,2,5,3]=>[1,4,6,5,3,7,2]=>[1,4,6,5,3,2]=>10000 [1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>[1,3,4,6,2,5]=>10000 [1,7,6,4,3,5,2]=>[1,5,4,6,3,7,2]=>[1,5,4,6,3,2]=>10000 [1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]=>[1,5,2,6,4,3]=>10000 [1,7,6,4,5,3,2]=>[1,3,5,6,4,7,2]=>[1,3,5,6,4,2]=>10000 [1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[1,5,2,3,6,4]=>10000 [1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3]=>[1,5,4,2,6,3]=>10000 [1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>[1,3,5,2,6,4]=>10000 [1,7,6,5,3,4,2]=>[1,4,5,3,6,7,2]=>[1,4,5,3,6,2]=>10000 [1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>[1,4,2,5,6,3]=>10000 [1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>[1,3,4,5,6,2]=>10000 [2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6]=>01111 [2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,6]=>01111 [2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5]=>01110 [2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,5]=>01110 [2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,5,6]=>01111 [2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,5]=>01110 [2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6]=>01101 [2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,6]=>01101 [2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4]=>01100 [2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[2,1,3,5,6,4]=>01100 [2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]=>[2,1,3,5,4,6]=>01101 [2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]=>[2,1,3,6,5,4]=>01100 [2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5]=>01100 [2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5]=>[2,1,3,6,4,5]=>01100 [2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>[2,1,3,5,6,4]=>01100 [2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4]=>[2,1,3,6,5,4]=>01100 [2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]=>[2,1,3,4,6,5]=>01110 [2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4]=>[2,1,3,5,6,4]=>01100 [2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>[2,1,3,4,5,6]=>01111 [2,1,3,7,4,6,5]=>[2,1,3,7,6,4,5]=>[2,1,3,6,4,5]=>01100 [2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6]=>[2,1,3,5,4,6]=>01101 [2,1,3,7,5,6,4]=>[2,1,3,6,7,5,4]=>[2,1,3,6,5,4]=>01100 [2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]=>[2,1,3,6,4,5]=>01100 [2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,4]=>01100 [2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6]=>01011 [2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,6]=>01011 [2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5]=>01010 [2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,5]=>01010 [2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>[2,1,4,3,5,6]=>01011 [2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>[2,1,4,3,6,5]=>01010 [2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6]=>01001 [2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,6]=>01001 [2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[2,1,6,4,5,3]=>01000 [2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,4,5,6,3]=>01000 [2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]=>[2,1,4,5,3,6]=>01001 [2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]=>[2,1,6,4,5,3]=>01000 [2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]=>[2,1,6,4,3,5]=>01000 [2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5]=>[2,1,6,4,3,5]=>01000 [2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]=>[2,1,5,4,6,3]=>01000 [2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]=>[2,1,4,6,5,3]=>01000 [2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]=>[2,1,4,3,6,5]=>01010 [2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3]=>[2,1,5,4,6,3]=>01000 [2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]=>[2,1,4,3,5,6]=>01011 [2,1,4,7,3,6,5]=>[2,1,7,4,6,3,5]=>[2,1,4,6,3,5]=>01000 [2,1,4,7,5,3,6]=>[2,1,5,4,7,3,6]=>[2,1,5,4,3,6]=>01001 [2,1,4,7,5,6,3]=>[2,1,6,4,7,5,3]=>[2,1,6,4,5,3]=>01000 [2,1,4,7,6,3,5]=>[2,1,6,4,3,7,5]=>[2,1,6,4,3,5]=>01000 [2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3]=>[2,1,5,4,6,3]=>01000 [2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6]=>01001 [2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,6]=>01001 [2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7]=>[2,1,5,6,3,4]=>01000 [2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4]=>[2,1,5,3,6,4]=>01000 [2,1,5,3,7,4,6]=>[2,1,5,7,3,4,6]=>[2,1,5,3,4,6]=>01001 [2,1,5,3,7,6,4]=>[2,1,5,6,3,7,4]=>[2,1,5,6,3,4]=>01000 [2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>[2,1,4,5,3,6]=>01001 [2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>[2,1,4,5,3,6]=>01001 [2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3]=>01000 [2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]=>[2,1,5,4,6,3]=>01000 [2,1,5,4,7,3,6]=>[2,1,7,5,4,3,6]=>[2,1,5,4,3,6]=>01001 [2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3]=>[2,1,6,5,4,3]=>01000 [2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]=>[2,1,6,3,5,4]=>01000 [2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4]=>[2,1,6,5,3,4]=>01000 [2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7]=>[2,1,4,6,5,3]=>01000 [2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>01000 [2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]=>[2,1,3,5,6,4]=>01100 [2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3]=>[2,1,4,5,6,3]=>01000 [2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]=>[2,1,3,5,4,6]=>01101 [2,1,5,7,3,6,4]=>[2,1,7,6,5,3,4]=>[2,1,6,5,3,4]=>01000 [2,1,5,7,4,3,6]=>[2,1,4,7,5,3,6]=>[2,1,4,5,3,6]=>01001 [2,1,5,7,4,6,3]=>[2,1,6,7,5,4,3]=>[2,1,6,5,4,3]=>01000 [2,1,5,7,6,3,4]=>[2,1,6,3,5,7,4]=>[2,1,6,3,5,4]=>01000 [2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3]=>[2,1,4,6,5,3]=>01000 [2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5]=>01000 [2,1,6,3,4,7,5]=>[2,1,6,3,7,4,5]=>[2,1,6,3,4,5]=>01000 [2,1,6,3,5,4,7]=>[2,1,6,5,3,4,7]=>[2,1,6,5,3,4]=>01000 [2,1,6,3,5,7,4]=>[2,1,6,7,3,5,4]=>[2,1,6,3,5,4]=>01000 [2,1,6,3,7,4,5]=>[2,1,6,7,4,3,5]=>[2,1,6,4,3,5]=>01000 [2,1,6,3,7,5,4]=>[2,1,6,5,7,3,4]=>[2,1,6,5,3,4]=>01000 [2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7]=>[2,1,4,6,3,5]=>01000 [2,1,6,4,3,7,5]=>[2,1,4,6,7,3,5]=>[2,1,4,6,3,5]=>01000 [2,1,6,4,5,3,7]=>[2,1,5,6,4,3,7]=>[2,1,5,6,4,3]=>01000 [2,1,6,4,5,7,3]=>[2,1,7,6,4,5,3]=>[2,1,6,4,5,3]=>01000 [2,1,6,4,7,3,5]=>[2,1,7,6,3,4,5]=>[2,1,6,3,4,5]=>01000 [2,1,6,4,7,5,3]=>[2,1,5,7,6,3,4]=>[2,1,5,6,3,4]=>01000 [2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]=>[2,1,5,3,6,4]=>01000 [2,1,6,5,3,7,4]=>[2,1,5,6,7,4,3]=>[2,1,5,6,4,3]=>01000 [2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]=>[2,1,4,5,6,3]=>01000 [2,1,6,5,4,7,3]=>[2,1,7,5,6,4,3]=>[2,1,5,6,4,3]=>01000 [2,1,6,5,7,3,4]=>[2,1,7,3,6,5,4]=>[2,1,3,6,5,4]=>01100 [2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3]=>[2,1,4,6,5,3]=>01000 [2,1,6,7,3,4,5]=>[2,1,7,3,4,6,5]=>[2,1,3,4,6,5]=>01110 [2,1,6,7,3,5,4]=>[2,1,7,5,3,6,4]=>[2,1,5,3,6,4]=>01000 [2,1,6,7,4,3,5]=>[2,1,4,7,3,6,5]=>[2,1,4,3,6,5]=>01010 [2,1,6,7,4,5,3]=>[2,1,5,7,4,6,3]=>[2,1,5,4,6,3]=>01000 [2,1,6,7,5,3,4]=>[2,1,5,3,7,6,4]=>[2,1,5,3,6,4]=>01000 [2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3]=>[2,1,4,5,6,3]=>01000 [2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[2,1,3,4,5,6]=>01111 [2,1,7,3,4,6,5]=>[2,1,7,3,6,4,5]=>[2,1,3,6,4,5]=>01100 [2,1,7,3,5,4,6]=>[2,1,7,5,3,4,6]=>[2,1,5,3,4,6]=>01001 [2,1,7,3,5,6,4]=>[2,1,7,6,3,5,4]=>[2,1,6,3,5,4]=>01000 [2,1,7,3,6,4,5]=>[2,1,7,6,4,3,5]=>[2,1,6,4,3,5]=>01000 [2,1,7,3,6,5,4]=>[2,1,7,5,6,3,4]=>[2,1,5,6,3,4]=>01000 [2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6]=>[2,1,4,3,5,6]=>01011 [2,1,7,4,3,6,5]=>[2,1,4,7,6,3,5]=>[2,1,4,6,3,5]=>01000 [2,1,7,4,5,3,6]=>[2,1,5,7,4,3,6]=>[2,1,5,4,3,6]=>01001 [2,1,7,4,5,6,3]=>[2,1,6,7,4,5,3]=>[2,1,6,4,5,3]=>01000 [2,1,7,4,6,3,5]=>[2,1,6,7,3,4,5]=>[2,1,6,3,4,5]=>01000 [2,1,7,4,6,5,3]=>[2,1,5,6,7,3,4]=>[2,1,5,6,3,4]=>01000 [2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6]=>[2,1,5,3,4,6]=>01001 [2,1,7,5,3,6,4]=>[2,1,5,7,6,4,3]=>[2,1,5,6,4,3]=>01000 [2,1,7,5,4,3,6]=>[2,1,4,5,7,3,6]=>[2,1,4,5,3,6]=>01001 [2,1,7,5,4,6,3]=>[2,1,6,5,7,4,3]=>[2,1,6,5,4,3]=>01000 [2,1,7,5,6,3,4]=>[2,1,6,3,7,5,4]=>[2,1,6,3,5,4]=>01000 [2,1,7,5,6,4,3]=>[2,1,4,6,7,5,3]=>[2,1,4,6,5,3]=>01000 [2,1,7,6,3,4,5]=>[2,1,6,3,4,7,5]=>[2,1,6,3,4,5]=>01000 [2,1,7,6,3,5,4]=>[2,1,6,5,3,7,4]=>[2,1,6,5,3,4]=>01000 [2,1,7,6,4,3,5]=>[2,1,4,6,3,7,5]=>[2,1,4,6,3,5]=>01000 [2,1,7,6,4,5,3]=>[2,1,5,6,4,7,3]=>[2,1,5,6,4,3]=>01000 [2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4]=>[2,1,5,3,6,4]=>01000 [2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,3]=>01000 [2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6]=>00111 [2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,6]=>00111 [2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5]=>00110 [2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[3,2,1,4,6,5]=>00110 [2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[3,2,1,4,5,6]=>00111 [2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]=>[3,2,1,4,6,5]=>00110 [2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6]=>00101 [2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,6]=>00101 [2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4]=>00100 [2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[3,2,1,5,6,4]=>00100 [2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]=>[3,2,1,5,4,6]=>00101 [2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]=>[3,2,1,6,5,4]=>00100 [2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>[3,2,1,6,4,5]=>00100 [2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5]=>[3,2,1,6,4,5]=>00100 [2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]=>[3,2,1,5,6,4]=>00100 [2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>00100 [2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]=>[3,2,1,4,6,5]=>00110 [2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4]=>[3,2,1,5,6,4]=>00100 [2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[3,2,1,4,5,6]=>00111 [2,3,1,7,4,6,5]=>[3,2,1,7,6,4,5]=>[3,2,1,6,4,5]=>00100 [2,3,1,7,5,4,6]=>[3,2,1,5,7,4,6]=>[3,2,1,5,4,6]=>00101 [2,3,1,7,5,6,4]=>[3,2,1,6,7,5,4]=>[3,2,1,6,5,4]=>00100 [2,3,1,7,6,4,5]=>[3,2,1,6,4,7,5]=>[3,2,1,6,4,5]=>00100 [2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4]=>[3,2,1,5,6,4]=>00100 [2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>00011 [2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,3,1,5,6]=>00011 [2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,3,1,6,5]=>00010 [2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[4,2,3,1,6,5]=>00010 [2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]=>[4,2,3,1,5,6]=>00011 [2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]=>[4,2,3,1,6,5]=>00010 [2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6]=>00001 [2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[5,2,3,4,1,6]=>00001 [2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>00000 [2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,1]=>00000 [2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>[2,3,4,5,1,6]=>00001 [2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>00000 [2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>00000 [2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[6,2,3,4,1,5]=>00000 [2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]=>[5,2,3,4,6,1]=>00000 [2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]=>[2,3,4,6,5,1]=>00000 [2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]=>[2,3,4,1,6,5]=>00010 [2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1]=>[5,2,3,4,6,1]=>00000 [2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]=>[2,3,4,1,5,6]=>00011 [2,3,4,7,1,6,5]=>[7,2,3,4,6,1,5]=>[2,3,4,6,1,5]=>00000 [2,3,4,7,5,1,6]=>[5,2,3,4,7,1,6]=>[5,2,3,4,1,6]=>00001 [2,3,4,7,5,6,1]=>[6,2,3,4,7,5,1]=>[6,2,3,4,5,1]=>00000 [2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5]=>[6,2,3,4,1,5]=>00000 [2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1]=>[5,2,3,4,6,1]=>00000 [2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]=>[5,2,3,1,4,6]=>00001 [2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]=>[5,2,3,1,4,6]=>00001 [2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[5,2,3,6,1,4]=>00000 [2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]=>[5,2,3,1,6,4]=>00000 [2,3,5,1,7,4,6]=>[5,2,3,7,1,4,6]=>[5,2,3,1,4,6]=>00001 [2,3,5,1,7,6,4]=>[5,2,3,6,1,7,4]=>[5,2,3,6,1,4]=>00000 [2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>00001 [2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]=>[4,2,3,5,1,6]=>00001 [2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]=>[6,2,3,5,4,1]=>00000 [2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]=>[2,3,5,4,6,1]=>00000 [2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6]=>[2,3,5,4,1,6]=>00001 [2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1]=>[6,2,3,5,4,1]=>00000 [2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]=>[6,2,3,1,5,4]=>00000 [2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]=>[6,2,3,5,1,4]=>00000 [2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]=>[4,2,3,6,5,1]=>00000 [2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]=>[2,3,6,5,4,1]=>00000 [2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]=>[2,3,1,5,6,4]=>00100 [2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1]=>[4,2,3,5,6,1]=>00000 [2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]=>[2,3,1,5,4,6]=>00101 [2,3,5,7,1,6,4]=>[7,2,3,6,5,1,4]=>[2,3,6,5,1,4]=>00000 [2,3,5,7,4,1,6]=>[4,2,3,7,5,1,6]=>[4,2,3,5,1,6]=>00001 [2,3,5,7,4,6,1]=>[6,2,3,7,5,4,1]=>[6,2,3,5,4,1]=>00000 [2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4]=>[6,2,3,1,5,4]=>00000 [2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1]=>[4,2,3,6,5,1]=>00000 [2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>00000 [2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]=>[6,2,3,1,4,5]=>00000 [2,3,6,1,5,4,7]=>[6,2,3,5,1,4,7]=>[6,2,3,5,1,4]=>00000 [2,3,6,1,5,7,4]=>[6,2,3,7,1,5,4]=>[6,2,3,1,5,4]=>00000 [2,3,6,1,7,4,5]=>[6,2,3,7,4,1,5]=>[6,2,3,4,1,5]=>00000 [2,3,6,1,7,5,4]=>[6,2,3,5,7,1,4]=>[6,2,3,5,1,4]=>00000 [2,3,6,4,1,5,7]=>[4,2,3,6,1,5,7]=>[4,2,3,6,1,5]=>00000 [2,3,6,4,1,7,5]=>[4,2,3,6,7,1,5]=>[4,2,3,6,1,5]=>00000 [2,3,6,4,5,1,7]=>[5,2,3,6,4,1,7]=>[5,2,3,6,4,1]=>00000 [2,3,6,4,5,7,1]=>[7,2,3,6,4,5,1]=>[2,3,6,4,5,1]=>00000 [2,3,6,4,7,1,5]=>[7,2,3,6,1,4,5]=>[2,3,6,1,4,5]=>00000 [2,3,6,4,7,5,1]=>[5,2,3,7,6,1,4]=>[5,2,3,6,1,4]=>00000 [2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7]=>[5,2,3,1,6,4]=>00000 [2,3,6,5,1,7,4]=>[5,2,3,6,7,4,1]=>[5,2,3,6,4,1]=>00000 [2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7]=>[4,2,3,5,6,1]=>00000 [2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1]=>[2,3,5,6,4,1]=>00000 [2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4]=>[2,3,1,6,5,4]=>00100 [2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1]=>[4,2,3,6,5,1]=>00000 [2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5]=>[2,3,1,4,6,5]=>00110 [2,3,6,7,1,5,4]=>[7,2,3,5,1,6,4]=>[2,3,5,1,6,4]=>00000 [2,3,6,7,4,1,5]=>[4,2,3,7,1,6,5]=>[4,2,3,1,6,5]=>00010 [2,3,6,7,4,5,1]=>[5,2,3,7,4,6,1]=>[5,2,3,4,6,1]=>00000 [2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4]=>[5,2,3,1,6,4]=>00000 [2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1]=>[4,2,3,5,6,1]=>00000 [2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]=>[2,3,1,4,5,6]=>00111 [2,3,7,1,4,6,5]=>[7,2,3,1,6,4,5]=>[2,3,1,6,4,5]=>00100 [2,3,7,1,5,4,6]=>[7,2,3,5,1,4,6]=>[2,3,5,1,4,6]=>00001 [2,3,7,1,5,6,4]=>[7,2,3,6,1,5,4]=>[2,3,6,1,5,4]=>00000 [2,3,7,1,6,4,5]=>[7,2,3,6,4,1,5]=>[2,3,6,4,1,5]=>00000 [2,3,7,1,6,5,4]=>[7,2,3,5,6,1,4]=>[2,3,5,6,1,4]=>00000 [2,3,7,4,1,5,6]=>[4,2,3,7,1,5,6]=>[4,2,3,1,5,6]=>00011 [2,3,7,4,1,6,5]=>[4,2,3,7,6,1,5]=>[4,2,3,6,1,5]=>00000 [2,3,7,4,5,1,6]=>[5,2,3,7,4,1,6]=>[5,2,3,4,1,6]=>00001 [2,3,7,4,5,6,1]=>[6,2,3,7,4,5,1]=>[6,2,3,4,5,1]=>00000 [2,3,7,4,6,1,5]=>[6,2,3,7,1,4,5]=>[6,2,3,1,4,5]=>00000 [2,3,7,4,6,5,1]=>[5,2,3,6,7,1,4]=>[5,2,3,6,1,4]=>00000 [2,3,7,5,1,4,6]=>[5,2,3,1,7,4,6]=>[5,2,3,1,4,6]=>00001 [2,3,7,5,1,6,4]=>[5,2,3,7,6,4,1]=>[5,2,3,6,4,1]=>00000 [2,3,7,5,4,1,6]=>[4,2,3,5,7,1,6]=>[4,2,3,5,1,6]=>00001 [2,3,7,5,4,6,1]=>[6,2,3,5,7,4,1]=>[6,2,3,5,4,1]=>00000 [2,3,7,5,6,1,4]=>[6,2,3,1,7,5,4]=>[6,2,3,1,5,4]=>00000 [2,3,7,5,6,4,1]=>[4,2,3,6,7,5,1]=>[4,2,3,6,5,1]=>00000 [2,3,7,6,1,4,5]=>[6,2,3,1,4,7,5]=>[6,2,3,1,4,5]=>00000 [2,3,7,6,1,5,4]=>[6,2,3,5,1,7,4]=>[6,2,3,5,1,4]=>00000 [2,3,7,6,4,1,5]=>[4,2,3,6,1,7,5]=>[4,2,3,6,1,5]=>00000 [2,3,7,6,4,5,1]=>[5,2,3,6,4,7,1]=>[5,2,3,6,4,1]=>00000 [2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4]=>[5,2,3,1,6,4]=>00000 [2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1]=>[4,2,3,5,6,1]=>00000 [2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>00011 [2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>[4,2,1,3,5,6]=>00011 [2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[4,2,1,3,6,5]=>00010 [2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]=>[4,2,1,3,6,5]=>00010 [2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>[4,2,1,3,5,6]=>00011 [2,4,1,3,7,6,5]=>[4,2,1,3,6,7,5]=>[4,2,1,3,6,5]=>00010 [2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[4,2,5,1,3,6]=>00001 [2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6]=>[4,2,5,1,3,6]=>00001 [2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7]=>[4,2,6,1,5,3]=>00000 [2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]=>[4,2,1,5,6,3]=>00000 [2,4,1,5,7,3,6]=>[4,2,7,1,5,3,6]=>[4,2,1,5,3,6]=>00001 [2,4,1,5,7,6,3]=>[4,2,6,1,5,7,3]=>[4,2,6,1,5,3]=>00000 [2,4,1,6,3,5,7]=>[4,2,6,1,3,5,7]=>[4,2,6,1,3,5]=>00000 [2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5]=>[4,2,6,1,3,5]=>00000 [2,4,1,6,5,3,7]=>[4,2,5,1,6,3,7]=>[4,2,5,1,6,3]=>00000 [2,4,1,6,5,7,3]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>00000 [2,4,1,6,7,3,5]=>[4,2,7,1,3,6,5]=>[4,2,1,3,6,5]=>00010 [2,4,1,6,7,5,3]=>[4,2,5,1,7,6,3]=>[4,2,5,1,6,3]=>00000 [2,4,1,7,3,5,6]=>[4,2,7,1,3,5,6]=>[4,2,1,3,5,6]=>00011 [2,4,1,7,3,6,5]=>[4,2,7,1,6,3,5]=>[4,2,1,6,3,5]=>00000 [2,4,1,7,5,3,6]=>[4,2,5,1,7,3,6]=>[4,2,5,1,3,6]=>00001 [2,4,1,7,5,6,3]=>[4,2,6,1,7,5,3]=>[4,2,6,1,5,3]=>00000 [2,4,1,7,6,3,5]=>[4,2,6,1,3,7,5]=>[4,2,6,1,3,5]=>00000 [2,4,1,7,6,5,3]=>[4,2,5,1,6,7,3]=>[4,2,5,1,6,3]=>00000 [2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6]=>00011 [2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]=>[3,2,4,1,5,6]=>00011 [2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]=>[3,2,4,1,6,5]=>00010 [2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]=>[3,2,4,1,6,5]=>00010 [2,4,3,1,7,5,6]=>[3,2,4,1,7,5,6]=>[3,2,4,1,5,6]=>00011 [2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]=>[3,2,4,1,6,5]=>00010 [2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]=>[5,2,4,3,1,6]=>00001 [2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]=>[5,2,4,3,1,6]=>00001 [2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]=>[6,2,4,3,5,1]=>00000 [2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]=>[2,4,3,5,6,1]=>00000 [2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6]=>[2,4,3,5,1,6]=>00001 [2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1]=>[6,2,4,3,5,1]=>00000 [2,4,3,6,1,5,7]=>[6,2,4,3,1,5,7]=>[6,2,4,3,1,5]=>00000 [2,4,3,6,1,7,5]=>[6,2,4,3,7,1,5]=>[6,2,4,3,1,5]=>00000 [2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7]=>[5,2,4,3,6,1]=>00000 [2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1]=>[2,4,3,6,5,1]=>00000 [2,4,3,6,7,1,5]=>[7,2,4,3,1,6,5]=>[2,4,3,1,6,5]=>00010 [2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1]=>[5,2,4,3,6,1]=>00000 [2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6]=>[2,4,3,1,5,6]=>00011 [2,4,3,7,1,6,5]=>[7,2,4,3,6,1,5]=>[2,4,3,6,1,5]=>00000 [2,4,3,7,5,1,6]=>[5,2,4,3,7,1,6]=>[5,2,4,3,1,6]=>00001 [2,4,3,7,5,6,1]=>[6,2,4,3,7,5,1]=>[6,2,4,3,5,1]=>00000 [2,4,3,7,6,1,5]=>[6,2,4,3,1,7,5]=>[6,2,4,3,1,5]=>00000 [2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1]=>[5,2,4,3,6,1]=>00000 [2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]=>[5,2,1,4,3,6]=>00001 [2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]=>[5,2,1,4,3,6]=>00001 [2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7]=>[5,2,6,4,1,3]=>00000 [2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]=>[5,2,4,1,6,3]=>00000 [2,4,5,1,7,3,6]=>[5,2,7,4,1,3,6]=>[5,2,4,1,3,6]=>00001 [2,4,5,1,7,6,3]=>[5,2,6,4,1,7,3]=>[5,2,6,4,1,3]=>00000 [2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]=>[3,2,5,4,1,6]=>00001 [2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,6]=>00001 [2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]=>[6,2,5,4,3,1]=>00000 [2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]=>[2,5,4,3,6,1]=>00000 [2,4,5,3,7,1,6]=>[7,2,5,4,3,1,6]=>[2,5,4,3,1,6]=>00001 [2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1]=>[6,2,5,4,3,1]=>00000 [2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]=>[6,2,1,4,5,3]=>00000 [2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]=>[6,2,4,5,1,3]=>00000 [2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]=>[3,2,6,4,5,1]=>00000 [2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]=>[2,6,4,5,3,1]=>00000 [2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]=>[2,1,4,5,6,3]=>01000 [2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1]=>[3,2,4,5,6,1]=>00000 [2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]=>[2,1,4,5,3,6]=>01001 [2,4,5,7,1,6,3]=>[7,2,6,4,5,1,3]=>[2,6,4,5,1,3]=>00000 [2,4,5,7,3,1,6]=>[3,2,7,4,5,1,6]=>[3,2,4,5,1,6]=>00001 [2,4,5,7,3,6,1]=>[6,2,7,4,5,3,1]=>[6,2,4,5,3,1]=>00000 [2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3]=>[6,2,1,4,5,3]=>00000 [2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1]=>[3,2,6,4,5,1]=>00000 [2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]=>[6,2,1,4,3,5]=>00000 [2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]=>[6,2,1,4,3,5]=>00000 [2,4,6,1,5,3,7]=>[6,2,5,4,1,3,7]=>[6,2,5,4,1,3]=>00000 [2,4,6,1,5,7,3]=>[6,2,7,4,1,5,3]=>[6,2,4,1,5,3]=>00000 [2,4,6,1,7,3,5]=>[6,2,7,4,3,1,5]=>[6,2,4,3,1,5]=>00000 [2,4,6,1,7,5,3]=>[6,2,5,4,7,1,3]=>[6,2,5,4,1,3]=>00000 [2,4,6,3,1,5,7]=>[3,2,6,4,1,5,7]=>[3,2,6,4,1,5]=>00000 [2,4,6,3,1,7,5]=>[3,2,6,4,7,1,5]=>[3,2,6,4,1,5]=>00000 [2,4,6,3,5,1,7]=>[5,2,6,4,3,1,7]=>[5,2,6,4,3,1]=>00000 [2,4,6,3,5,7,1]=>[7,2,6,4,3,5,1]=>[2,6,4,3,5,1]=>00000 [2,4,6,3,7,1,5]=>[7,2,6,4,1,3,5]=>[2,6,4,1,3,5]=>00000 [2,4,6,3,7,5,1]=>[5,2,7,4,6,1,3]=>[5,2,4,6,1,3]=>00000 [2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7]=>[5,2,1,4,6,3]=>00000 [2,4,6,5,1,7,3]=>[5,2,6,4,7,3,1]=>[5,2,6,4,3,1]=>00000 [2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]=>[3,2,5,4,6,1]=>00000 [2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1]=>[2,5,4,6,3,1]=>00000 [2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3]=>[2,1,4,6,5,3]=>01000 [2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1]=>[3,2,4,6,5,1]=>00000 [2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]=>[2,1,4,3,6,5]=>01010 [2,4,6,7,1,5,3]=>[7,2,5,4,1,6,3]=>[2,5,4,1,6,3]=>00000 [2,4,6,7,3,1,5]=>[3,2,7,4,1,6,5]=>[3,2,4,1,6,5]=>00010 [2,4,6,7,3,5,1]=>[5,2,7,4,3,6,1]=>[5,2,4,3,6,1]=>00000 [2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3]=>[5,2,1,4,6,3]=>00000 [2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1]=>[3,2,5,4,6,1]=>00000 [2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]=>[2,1,4,3,5,6]=>01011 [2,4,7,1,3,6,5]=>[7,2,1,4,6,3,5]=>[2,1,4,6,3,5]=>01000 [2,4,7,1,5,3,6]=>[7,2,5,4,1,3,6]=>[2,5,4,1,3,6]=>00001 [2,4,7,1,5,6,3]=>[7,2,6,4,1,5,3]=>[2,6,4,1,5,3]=>00000 [2,4,7,1,6,3,5]=>[7,2,6,4,3,1,5]=>[2,6,4,3,1,5]=>00000 [2,4,7,1,6,5,3]=>[7,2,5,4,6,1,3]=>[2,5,4,6,1,3]=>00000 [2,4,7,3,1,5,6]=>[3,2,7,4,1,5,6]=>[3,2,4,1,5,6]=>00011 [2,4,7,3,1,6,5]=>[3,2,7,4,6,1,5]=>[3,2,4,6,1,5]=>00000 [2,4,7,3,5,1,6]=>[5,2,7,4,3,1,6]=>[5,2,4,3,1,6]=>00001 [2,4,7,3,5,6,1]=>[6,2,7,4,3,5,1]=>[6,2,4,3,5,1]=>00000 [2,4,7,3,6,1,5]=>[6,2,7,4,1,3,5]=>[6,2,4,1,3,5]=>00000 [2,4,7,3,6,5,1]=>[5,2,6,4,7,1,3]=>[5,2,6,4,1,3]=>00000 [2,4,7,5,1,3,6]=>[5,2,1,4,7,3,6]=>[5,2,1,4,3,6]=>00001 [2,4,7,5,1,6,3]=>[5,2,7,4,6,3,1]=>[5,2,4,6,3,1]=>00000 [2,4,7,5,3,1,6]=>[3,2,5,4,7,1,6]=>[3,2,5,4,1,6]=>00001 [2,4,7,5,3,6,1]=>[6,2,5,4,7,3,1]=>[6,2,5,4,3,1]=>00000 [2,4,7,5,6,1,3]=>[6,2,1,4,7,5,3]=>[6,2,1,4,5,3]=>00000 [2,4,7,5,6,3,1]=>[3,2,6,4,7,5,1]=>[3,2,6,4,5,1]=>00000 [2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5]=>[6,2,1,4,3,5]=>00000 [2,4,7,6,1,5,3]=>[6,2,5,4,1,7,3]=>[6,2,5,4,1,3]=>00000 [2,4,7,6,3,1,5]=>[3,2,6,4,1,7,5]=>[3,2,6,4,1,5]=>00000 [2,4,7,6,3,5,1]=>[5,2,6,4,3,7,1]=>[5,2,6,4,3,1]=>00000 [2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3]=>[5,2,1,4,6,3]=>00000 [2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1]=>[3,2,5,4,6,1]=>00000 [2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>[5,2,1,3,4,6]=>00001 [2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>[5,2,1,3,4,6]=>00001 [2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]=>[5,2,1,6,3,4]=>00000 [2,5,1,3,6,7,4]=>[5,2,1,7,3,6,4]=>[5,2,1,3,6,4]=>00000 [2,5,1,3,7,4,6]=>[5,2,1,7,3,4,6]=>[5,2,1,3,4,6]=>00001 [2,5,1,3,7,6,4]=>[5,2,1,6,3,7,4]=>[5,2,1,6,3,4]=>00000 [2,5,1,4,3,6,7]=>[5,2,4,1,3,6,7]=>[5,2,4,1,3,6]=>00001 [2,5,1,4,3,7,6]=>[5,2,4,1,3,7,6]=>[5,2,4,1,3,6]=>00001 [2,5,1,4,6,3,7]=>[5,2,6,1,4,3,7]=>[5,2,6,1,4,3]=>00000 [2,5,1,4,6,7,3]=>[5,2,7,1,4,6,3]=>[5,2,1,4,6,3]=>00000 [2,5,1,4,7,3,6]=>[5,2,7,1,4,3,6]=>[5,2,1,4,3,6]=>00001 [2,5,1,4,7,6,3]=>[5,2,6,1,4,7,3]=>[5,2,6,1,4,3]=>00000 [2,5,1,6,3,4,7]=>[5,2,6,3,1,4,7]=>[5,2,6,3,1,4]=>00000 [2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4]=>[5,2,6,1,3,4]=>00000 [2,5,1,6,4,3,7]=>[5,2,4,6,1,3,7]=>[5,2,4,6,1,3]=>00000 [2,5,1,6,4,7,3]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>00000 [2,5,1,6,7,3,4]=>[5,2,7,3,1,6,4]=>[5,2,3,1,6,4]=>00000 [2,5,1,6,7,4,3]=>[5,2,4,7,1,6,3]=>[5,2,4,1,6,3]=>00000 [2,5,1,7,3,4,6]=>[5,2,7,3,1,4,6]=>[5,2,3,1,4,6]=>00001 [2,5,1,7,3,6,4]=>[5,2,7,6,1,3,4]=>[5,2,6,1,3,4]=>00000 [2,5,1,7,4,3,6]=>[5,2,4,7,1,3,6]=>[5,2,4,1,3,6]=>00001 [2,5,1,7,4,6,3]=>[5,2,6,7,1,4,3]=>[5,2,6,1,4,3]=>00000 [2,5,1,7,6,3,4]=>[5,2,6,3,1,7,4]=>[5,2,6,3,1,4]=>00000 [2,5,1,7,6,4,3]=>[5,2,4,6,1,7,3]=>[5,2,4,6,1,3]=>00000 [2,5,3,1,4,6,7]=>[3,2,5,1,4,6,7]=>[3,2,5,1,4,6]=>00001 [2,5,3,1,4,7,6]=>[3,2,5,1,4,7,6]=>[3,2,5,1,4,6]=>00001 [2,5,3,1,6,4,7]=>[3,2,5,6,1,4,7]=>[3,2,5,6,1,4]=>00000 [2,5,3,1,6,7,4]=>[3,2,5,7,1,6,4]=>[3,2,5,1,6,4]=>00000 [2,5,3,1,7,4,6]=>[3,2,5,7,1,4,6]=>[3,2,5,1,4,6]=>00001 [2,5,3,1,7,6,4]=>[3,2,5,6,1,7,4]=>[3,2,5,6,1,4]=>00000 [2,5,3,4,1,6,7]=>[4,2,5,3,1,6,7]=>[4,2,5,3,1,6]=>00001 [2,5,3,4,1,7,6]=>[4,2,5,3,1,7,6]=>[4,2,5,3,1,6]=>00001 [2,5,3,4,6,1,7]=>[6,2,5,3,4,1,7]=>[6,2,5,3,4,1]=>00000 [2,5,3,4,6,7,1]=>[7,2,5,3,4,6,1]=>[2,5,3,4,6,1]=>00000 [2,5,3,4,7,1,6]=>[7,2,5,3,4,1,6]=>[2,5,3,4,1,6]=>00001 [2,5,3,4,7,6,1]=>[6,2,5,3,4,7,1]=>[6,2,5,3,4,1]=>00000 [2,5,3,6,1,4,7]=>[6,2,5,1,3,4,7]=>[6,2,5,1,3,4]=>00000 [2,5,3,6,1,7,4]=>[6,2,5,7,3,1,4]=>[6,2,5,3,1,4]=>00000 [2,5,3,6,4,1,7]=>[4,2,6,5,1,3,7]=>[4,2,6,5,1,3]=>00000 [2,5,3,6,4,7,1]=>[7,2,5,6,3,4,1]=>[2,5,6,3,4,1]=>00000 [2,5,3,6,7,1,4]=>[7,2,5,1,3,6,4]=>[2,5,1,3,6,4]=>00000 [2,5,3,6,7,4,1]=>[4,2,7,5,1,6,3]=>[4,2,5,1,6,3]=>00000 [2,5,3,7,1,4,6]=>[7,2,5,1,3,4,6]=>[2,5,1,3,4,6]=>00001 [2,5,3,7,1,6,4]=>[7,2,5,6,3,1,4]=>[2,5,6,3,1,4]=>00000 [2,5,3,7,4,1,6]=>[4,2,7,5,1,3,6]=>[4,2,5,1,3,6]=>00001 [2,5,3,7,4,6,1]=>[6,2,5,7,3,4,1]=>[6,2,5,3,4,1]=>00000 [2,5,3,7,6,1,4]=>[6,2,5,1,3,7,4]=>[6,2,5,1,3,4]=>00000 [2,5,3,7,6,4,1]=>[4,2,6,5,1,7,3]=>[4,2,6,5,1,3]=>00000 [2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7]=>[4,2,1,5,3,6]=>00001 [2,5,4,1,3,7,6]=>[4,2,1,5,3,7,6]=>[4,2,1,5,3,6]=>00001 [2,5,4,1,6,3,7]=>[4,2,5,6,3,1,7]=>[4,2,5,6,3,1]=>00000 [2,5,4,1,6,7,3]=>[4,2,5,7,3,6,1]=>[4,2,5,3,6,1]=>00000 [2,5,4,1,7,3,6]=>[4,2,5,7,3,1,6]=>[4,2,5,3,1,6]=>00001 [2,5,4,1,7,6,3]=>[4,2,5,6,3,7,1]=>[4,2,5,6,3,1]=>00000 [2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6]=>00001 [2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6]=>[3,2,4,5,1,6]=>00001 [2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]=>[6,2,4,5,3,1]=>00000 [2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1]=>[2,4,5,3,6,1]=>00000 [2,5,4,3,7,1,6]=>[7,2,4,5,3,1,6]=>[2,4,5,3,1,6]=>00001 [2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1]=>[6,2,4,5,3,1]=>00000 [2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7]=>[6,2,1,5,4,3]=>00000 [2,5,4,6,1,7,3]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>00000 [2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]=>[3,2,6,5,4,1]=>00000 [2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>00000 [2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3]=>[2,1,5,4,6,3]=>01000 [2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1]=>[3,2,5,4,6,1]=>00000 [2,5,4,7,1,3,6]=>[7,2,1,5,4,3,6]=>[2,1,5,4,3,6]=>01001 [2,5,4,7,1,6,3]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>00000 [2,5,4,7,3,1,6]=>[3,2,7,5,4,1,6]=>[3,2,5,4,1,6]=>00001 [2,5,4,7,3,6,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>00000 [2,5,4,7,6,1,3]=>[6,2,1,5,4,7,3]=>[6,2,1,5,4,3]=>00000 [2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1]=>[3,2,6,5,4,1]=>00000 [2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]=>[6,2,1,3,5,4]=>00000 [2,5,6,1,3,7,4]=>[6,2,1,7,5,3,4]=>[6,2,1,5,3,4]=>00000 [2,5,6,1,4,3,7]=>[6,2,4,1,5,3,7]=>[6,2,4,1,5,3]=>00000 [2,5,6,1,4,7,3]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>00000 [2,5,6,1,7,3,4]=>[6,2,7,3,5,1,4]=>[6,2,3,5,1,4]=>00000 [2,5,6,1,7,4,3]=>[6,2,4,7,5,1,3]=>[6,2,4,5,1,3]=>00000 [2,5,6,3,1,4,7]=>[3,2,6,1,5,4,7]=>[3,2,6,1,5,4]=>00000 [2,5,6,3,1,7,4]=>[3,2,6,7,5,1,4]=>[3,2,6,5,1,4]=>00000 [2,5,6,3,4,1,7]=>[4,2,6,3,5,1,7]=>[4,2,6,3,5,1]=>00000 [2,5,6,3,4,7,1]=>[7,2,6,3,5,4,1]=>[2,6,3,5,4,1]=>00000 [2,5,6,3,7,1,4]=>[7,2,6,1,5,3,4]=>[2,6,1,5,3,4]=>00000 [2,5,6,3,7,4,1]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>00000 [2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7]=>[4,2,1,6,5,3]=>00000 [2,5,6,4,1,7,3]=>[4,2,6,7,5,3,1]=>[4,2,6,5,3,1]=>00000 [2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]=>[3,2,4,6,5,1]=>00000 [2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1]=>[2,4,6,5,3,1]=>00000 [2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3]=>[2,1,6,5,4,3]=>01000 [2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>00000 [2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4]=>[2,1,3,5,6,4]=>01100 [2,5,6,7,1,4,3]=>[7,2,4,1,5,6,3]=>[2,4,1,5,6,3]=>00000 [2,5,6,7,3,1,4]=>[3,2,7,1,5,6,4]=>[3,2,1,5,6,4]=>00100 [2,5,6,7,3,4,1]=>[4,2,7,3,5,6,1]=>[4,2,3,5,6,1]=>00000 [2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3]=>[4,2,1,5,6,3]=>00000 [2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1]=>[3,2,4,5,6,1]=>00000 [2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]=>[2,1,3,5,4,6]=>01101 [2,5,7,1,3,6,4]=>[7,2,1,6,5,3,4]=>[2,1,6,5,3,4]=>01000 [2,5,7,1,4,3,6]=>[7,2,4,1,5,3,6]=>[2,4,1,5,3,6]=>00001 [2,5,7,1,4,6,3]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>00000 [2,5,7,1,6,3,4]=>[7,2,6,3,5,1,4]=>[2,6,3,5,1,4]=>00000 [2,5,7,1,6,4,3]=>[7,2,4,6,5,1,3]=>[2,4,6,5,1,3]=>00000 [2,5,7,3,1,4,6]=>[3,2,7,1,5,4,6]=>[3,2,1,5,4,6]=>00101 [2,5,7,3,1,6,4]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>00000 [2,5,7,3,4,1,6]=>[4,2,7,3,5,1,6]=>[4,2,3,5,1,6]=>00001 [2,5,7,3,4,6,1]=>[6,2,7,3,5,4,1]=>[6,2,3,5,4,1]=>00000 [2,5,7,3,6,1,4]=>[6,2,7,1,5,3,4]=>[6,2,1,5,3,4]=>00000 [2,5,7,3,6,4,1]=>[4,2,6,7,5,1,3]=>[4,2,6,5,1,3]=>00000 [2,5,7,4,1,3,6]=>[4,2,1,7,5,3,6]=>[4,2,1,5,3,6]=>00001 [2,5,7,4,1,6,3]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>00000 [2,5,7,4,3,1,6]=>[3,2,4,7,5,1,6]=>[3,2,4,5,1,6]=>00001 [2,5,7,4,3,6,1]=>[6,2,4,7,5,3,1]=>[6,2,4,5,3,1]=>00000 [2,5,7,4,6,1,3]=>[6,2,1,7,5,4,3]=>[6,2,1,5,4,3]=>00000 [2,5,7,4,6,3,1]=>[3,2,6,7,5,4,1]=>[3,2,6,5,4,1]=>00000 [2,5,7,6,1,3,4]=>[6,2,1,3,5,7,4]=>[6,2,1,3,5,4]=>00000 [2,5,7,6,1,4,3]=>[6,2,4,1,5,7,3]=>[6,2,4,1,5,3]=>00000 [2,5,7,6,3,1,4]=>[3,2,6,1,5,7,4]=>[3,2,6,1,5,4]=>00000 [2,5,7,6,3,4,1]=>[4,2,6,3,5,7,1]=>[4,2,6,3,5,1]=>00000 [2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3]=>[4,2,1,6,5,3]=>00000 [2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1]=>[3,2,4,6,5,1]=>00000 [2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>00000 [2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]=>[6,2,1,3,4,5]=>00000 [2,6,1,3,5,4,7]=>[6,2,1,5,3,4,7]=>[6,2,1,5,3,4]=>00000 [2,6,1,3,5,7,4]=>[6,2,1,7,3,5,4]=>[6,2,1,3,5,4]=>00000 [2,6,1,3,7,4,5]=>[6,2,1,7,4,3,5]=>[6,2,1,4,3,5]=>00000 [2,6,1,3,7,5,4]=>[6,2,1,5,7,3,4]=>[6,2,1,5,3,4]=>00000 [2,6,1,4,3,5,7]=>[6,2,4,1,3,5,7]=>[6,2,4,1,3,5]=>00000 [2,6,1,4,3,7,5]=>[6,2,4,1,7,3,5]=>[6,2,4,1,3,5]=>00000 [2,6,1,4,5,3,7]=>[6,2,5,1,4,3,7]=>[6,2,5,1,4,3]=>00000 [2,6,1,4,5,7,3]=>[6,2,7,1,3,4,5]=>[6,2,1,3,4,5]=>00000 [2,6,1,4,7,3,5]=>[6,2,7,1,4,5,3]=>[6,2,1,4,5,3]=>00000 [2,6,1,4,7,5,3]=>[6,2,5,1,7,4,3]=>[6,2,5,1,4,3]=>00000 [2,6,1,5,3,4,7]=>[6,2,5,3,1,4,7]=>[6,2,5,3,1,4]=>00000 [2,6,1,5,3,7,4]=>[6,2,5,7,1,3,4]=>[6,2,5,1,3,4]=>00000 [2,6,1,5,4,3,7]=>[6,2,4,5,1,3,7]=>[6,2,4,5,1,3]=>00000 [2,6,1,5,4,7,3]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>00000 [2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[6,2,3,1,5,4]=>00000 [2,6,1,5,7,4,3]=>[6,2,4,7,1,5,3]=>[6,2,4,1,5,3]=>00000 [2,6,1,7,3,4,5]=>[6,2,7,3,4,1,5]=>[6,2,3,4,1,5]=>00000 [2,6,1,7,3,5,4]=>[6,2,7,5,3,1,4]=>[6,2,5,3,1,4]=>00000 [2,6,1,7,4,3,5]=>[6,2,4,7,3,1,5]=>[6,2,4,3,1,5]=>00000 [2,6,1,7,4,5,3]=>[6,2,5,7,4,1,3]=>[6,2,5,4,1,3]=>00000 [2,6,1,7,5,3,4]=>[6,2,5,3,7,1,4]=>[6,2,5,3,1,4]=>00000 [2,6,1,7,5,4,3]=>[6,2,4,5,7,1,3]=>[6,2,4,5,1,3]=>00000 [2,6,3,1,4,5,7]=>[3,2,6,1,4,5,7]=>[3,2,6,1,4,5]=>00000 [2,6,3,1,4,7,5]=>[3,2,6,1,7,4,5]=>[3,2,6,1,4,5]=>00000 [2,6,3,1,5,4,7]=>[3,2,6,5,1,4,7]=>[3,2,6,5,1,4]=>00000 [2,6,3,1,5,7,4]=>[3,2,6,7,1,5,4]=>[3,2,6,1,5,4]=>00000 [2,6,3,1,7,4,5]=>[3,2,6,7,4,1,5]=>[3,2,6,4,1,5]=>00000 [2,6,3,1,7,5,4]=>[3,2,6,5,7,1,4]=>[3,2,6,5,1,4]=>00000 [2,6,3,4,1,5,7]=>[4,2,6,3,1,5,7]=>[4,2,6,3,1,5]=>00000 [2,6,3,4,1,7,5]=>[4,2,6,3,7,1,5]=>[4,2,6,3,1,5]=>00000 [2,6,3,4,5,1,7]=>[5,2,6,3,4,1,7]=>[5,2,6,3,4,1]=>00000 [2,6,3,4,5,7,1]=>[7,2,6,3,4,5,1]=>[2,6,3,4,5,1]=>00000 [2,6,3,4,7,1,5]=>[7,2,6,3,1,4,5]=>[2,6,3,1,4,5]=>00000 [2,6,3,4,7,5,1]=>[5,2,7,3,6,1,4]=>[5,2,3,6,1,4]=>00000 [2,6,3,5,1,4,7]=>[5,2,6,1,3,4,7]=>[5,2,6,1,3,4]=>00000 [2,6,3,5,1,7,4]=>[5,2,6,7,3,1,4]=>[5,2,6,3,1,4]=>00000 [2,6,3,5,4,1,7]=>[4,2,5,6,1,3,7]=>[4,2,5,6,1,3]=>00000 [2,6,3,5,4,7,1]=>[7,2,6,5,3,4,1]=>[2,6,5,3,4,1]=>00000 [2,6,3,5,7,1,4]=>[7,2,6,1,4,3,5]=>[2,6,1,4,3,5]=>00000 [2,6,3,5,7,4,1]=>[4,2,7,6,3,1,5]=>[4,2,6,3,1,5]=>00000 [2,6,3,7,1,4,5]=>[7,2,6,1,3,5,4]=>[2,6,1,3,5,4]=>00000 [2,6,3,7,1,5,4]=>[7,2,6,5,1,3,4]=>[2,6,5,1,3,4]=>00000 [2,6,3,7,4,1,5]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>00000 [2,6,3,7,4,5,1]=>[5,2,6,7,4,3,1]=>[5,2,6,4,3,1]=>00000 [2,6,3,7,5,1,4]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>00000 [2,6,3,7,5,4,1]=>[4,2,5,7,6,3,1]=>[4,2,5,6,3,1]=>00000 [2,6,4,1,3,5,7]=>[4,2,1,6,3,5,7]=>[4,2,1,6,3,5]=>00000 [2,6,4,1,3,7,5]=>[4,2,1,6,7,3,5]=>[4,2,1,6,3,5]=>00000 [2,6,4,1,5,3,7]=>[4,2,6,5,3,1,7]=>[4,2,6,5,3,1]=>00000 [2,6,4,1,5,7,3]=>[4,2,6,7,1,3,5]=>[4,2,6,1,3,5]=>00000 [2,6,4,1,7,3,5]=>[4,2,6,7,3,5,1]=>[4,2,6,3,5,1]=>00000 [2,6,4,1,7,5,3]=>[4,2,6,5,7,3,1]=>[4,2,6,5,3,1]=>00000 [2,6,4,3,1,5,7]=>[3,2,4,6,1,5,7]=>[3,2,4,6,1,5]=>00000 [2,6,4,3,1,7,5]=>[3,2,4,6,7,1,5]=>[3,2,4,6,1,5]=>00000 [2,6,4,3,5,1,7]=>[5,2,4,6,3,1,7]=>[5,2,4,6,3,1]=>00000 [2,6,4,3,5,7,1]=>[7,2,4,6,3,5,1]=>[2,4,6,3,5,1]=>00000 [2,6,4,3,7,1,5]=>[7,2,4,6,1,3,5]=>[2,4,6,1,3,5]=>00000 [2,6,4,3,7,5,1]=>[5,2,4,7,6,1,3]=>[5,2,4,6,1,3]=>00000 [2,6,4,5,1,3,7]=>[5,2,1,6,4,3,7]=>[5,2,1,6,4,3]=>00000 [2,6,4,5,1,7,3]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>00000 [2,6,4,5,3,1,7]=>[3,2,5,6,4,1,7]=>[3,2,5,6,4,1]=>00000 [2,6,4,5,3,7,1]=>[7,2,5,6,4,3,1]=>[2,5,6,4,3,1]=>00000 [2,6,4,5,7,1,3]=>[7,2,1,6,4,5,3]=>[2,1,6,4,5,3]=>01000 [2,6,4,5,7,3,1]=>[3,2,7,6,4,5,1]=>[3,2,6,4,5,1]=>00000 [2,6,4,7,1,3,5]=>[7,2,1,6,3,4,5]=>[2,1,6,3,4,5]=>01000 [2,6,4,7,1,5,3]=>[7,2,5,6,1,4,3]=>[2,5,6,1,4,3]=>00000 [2,6,4,7,3,1,5]=>[3,2,7,6,1,4,5]=>[3,2,6,1,4,5]=>00000 [2,6,4,7,3,5,1]=>[5,2,7,6,3,4,1]=>[5,2,6,3,4,1]=>00000 [2,6,4,7,5,1,3]=>[5,2,1,7,6,3,4]=>[5,2,1,6,3,4]=>00000 [2,6,4,7,5,3,1]=>[3,2,5,7,6,1,4]=>[3,2,5,6,1,4]=>00000 [2,6,5,1,3,4,7]=>[5,2,1,3,6,4,7]=>[5,2,1,3,6,4]=>00000 [2,6,5,1,3,7,4]=>[5,2,1,6,7,4,3]=>[5,2,1,6,4,3]=>00000 [2,6,5,1,4,3,7]=>[5,2,4,1,6,3,7]=>[5,2,4,1,6,3]=>00000 [2,6,5,1,4,7,3]=>[5,2,6,1,7,3,4]=>[5,2,6,1,3,4]=>00000 [2,6,5,1,7,3,4]=>[5,2,6,3,7,4,1]=>[5,2,6,3,4,1]=>00000 [2,6,5,1,7,4,3]=>[5,2,4,6,7,3,1]=>[5,2,4,6,3,1]=>00000 [2,6,5,3,1,4,7]=>[3,2,5,1,6,4,7]=>[3,2,5,1,6,4]=>00000 [2,6,5,3,1,7,4]=>[3,2,5,6,7,4,1]=>[3,2,5,6,4,1]=>00000 [2,6,5,3,4,1,7]=>[4,2,5,3,6,1,7]=>[4,2,5,3,6,1]=>00000 [2,6,5,3,4,7,1]=>[7,2,5,3,6,4,1]=>[2,5,3,6,4,1]=>00000 [2,6,5,3,7,1,4]=>[7,2,5,1,6,3,4]=>[2,5,1,6,3,4]=>00000 [2,6,5,3,7,4,1]=>[4,2,7,5,6,1,3]=>[4,2,5,6,1,3]=>00000 [2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7]=>[4,2,1,5,6,3]=>00000 [2,6,5,4,1,7,3]=>[4,2,5,6,7,1,3]=>[4,2,5,6,1,3]=>00000 [2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1]=>00000 [2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1]=>[2,4,5,6,3,1]=>00000 [2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3]=>[2,1,5,6,4,3]=>01000 [2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1]=>[3,2,5,6,4,1]=>00000 [2,6,5,7,1,3,4]=>[7,2,1,3,6,5,4]=>[2,1,3,6,5,4]=>01100 [2,6,5,7,1,4,3]=>[7,2,4,1,6,5,3]=>[2,4,1,6,5,3]=>00000 [2,6,5,7,3,1,4]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>00100 [2,6,5,7,3,4,1]=>[4,2,7,3,6,5,1]=>[4,2,3,6,5,1]=>00000 [2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>00000 [2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1]=>[3,2,4,6,5,1]=>00000 [2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]=>[2,1,3,4,6,5]=>01110 [2,6,7,1,3,5,4]=>[7,2,1,5,3,6,4]=>[2,1,5,3,6,4]=>01000 [2,6,7,1,4,3,5]=>[7,2,4,1,3,6,5]=>[2,4,1,3,6,5]=>00010 [2,6,7,1,4,5,3]=>[7,2,5,1,4,6,3]=>[2,5,1,4,6,3]=>00000 [2,6,7,1,5,3,4]=>[7,2,5,3,1,6,4]=>[2,5,3,1,6,4]=>00000 [2,6,7,1,5,4,3]=>[7,2,4,5,1,6,3]=>[2,4,5,1,6,3]=>00000 [2,6,7,3,1,4,5]=>[3,2,7,1,4,6,5]=>[3,2,1,4,6,5]=>00110 [2,6,7,3,1,5,4]=>[3,2,7,5,1,6,4]=>[3,2,5,1,6,4]=>00000 [2,6,7,3,4,1,5]=>[4,2,7,3,1,6,5]=>[4,2,3,1,6,5]=>00010 [2,6,7,3,4,5,1]=>[5,2,7,3,4,6,1]=>[5,2,3,4,6,1]=>00000 [2,6,7,3,5,1,4]=>[5,2,7,1,3,6,4]=>[5,2,1,3,6,4]=>00000 [2,6,7,3,5,4,1]=>[4,2,5,7,1,6,3]=>[4,2,5,1,6,3]=>00000 [2,6,7,4,1,3,5]=>[4,2,1,7,3,6,5]=>[4,2,1,3,6,5]=>00010 [2,6,7,4,1,5,3]=>[4,2,7,5,3,6,1]=>[4,2,5,3,6,1]=>00000 [2,6,7,4,3,1,5]=>[3,2,4,7,1,6,5]=>[3,2,4,1,6,5]=>00010 [2,6,7,4,3,5,1]=>[5,2,4,7,3,6,1]=>[5,2,4,3,6,1]=>00000 [2,6,7,4,5,1,3]=>[5,2,1,7,4,6,3]=>[5,2,1,4,6,3]=>00000 [2,6,7,4,5,3,1]=>[3,2,5,7,4,6,1]=>[3,2,5,4,6,1]=>00000 [2,6,7,5,1,3,4]=>[5,2,1,3,7,6,4]=>[5,2,1,3,6,4]=>00000 [2,6,7,5,1,4,3]=>[5,2,4,1,7,6,3]=>[5,2,4,1,6,3]=>00000 [2,6,7,5,3,1,4]=>[3,2,5,1,7,6,4]=>[3,2,5,1,6,4]=>00000 [2,6,7,5,3,4,1]=>[4,2,5,3,7,6,1]=>[4,2,5,3,6,1]=>00000 [2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3]=>[4,2,1,5,6,3]=>00000 [2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1]=>[3,2,4,5,6,1]=>00000 [2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[2,1,3,4,5,6]=>01111 [2,7,1,3,4,6,5]=>[7,2,1,3,6,4,5]=>[2,1,3,6,4,5]=>01100 [2,7,1,3,5,4,6]=>[7,2,1,5,3,4,6]=>[2,1,5,3,4,6]=>01001 [2,7,1,3,5,6,4]=>[7,2,1,6,3,5,4]=>[2,1,6,3,5,4]=>01000 [2,7,1,3,6,4,5]=>[7,2,1,6,4,3,5]=>[2,1,6,4,3,5]=>01000 [2,7,1,3,6,5,4]=>[7,2,1,5,6,3,4]=>[2,1,5,6,3,4]=>01000 [2,7,1,4,3,5,6]=>[7,2,4,1,3,5,6]=>[2,4,1,3,5,6]=>00011 [2,7,1,4,3,6,5]=>[7,2,4,1,6,3,5]=>[2,4,1,6,3,5]=>00000 [2,7,1,4,5,3,6]=>[7,2,5,1,4,3,6]=>[2,5,1,4,3,6]=>00001 [2,7,1,4,5,6,3]=>[7,2,6,1,3,4,5]=>[2,6,1,3,4,5]=>00000 [2,7,1,4,6,3,5]=>[7,2,6,1,4,5,3]=>[2,6,1,4,5,3]=>00000 [2,7,1,4,6,5,3]=>[7,2,5,1,6,4,3]=>[2,5,1,6,4,3]=>00000 [2,7,1,5,3,4,6]=>[7,2,5,3,1,4,6]=>[2,5,3,1,4,6]=>00001 [2,7,1,5,3,6,4]=>[7,2,5,6,1,3,4]=>[2,5,6,1,3,4]=>00000 [2,7,1,5,4,3,6]=>[7,2,4,5,1,3,6]=>[2,4,5,1,3,6]=>00001 [2,7,1,5,4,6,3]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>00000 [2,7,1,5,6,3,4]=>[7,2,6,3,1,5,4]=>[2,6,3,1,5,4]=>00000 [2,7,1,5,6,4,3]=>[7,2,4,6,1,5,3]=>[2,4,6,1,5,3]=>00000 [2,7,1,6,3,4,5]=>[7,2,6,3,4,1,5]=>[2,6,3,4,1,5]=>00000 [2,7,1,6,3,5,4]=>[7,2,6,5,3,1,4]=>[2,6,5,3,1,4]=>00000 [2,7,1,6,4,3,5]=>[7,2,4,6,3,1,5]=>[2,4,6,3,1,5]=>00000 [2,7,1,6,4,5,3]=>[7,2,5,6,4,1,3]=>[2,5,6,4,1,3]=>00000 [2,7,1,6,5,3,4]=>[7,2,5,3,6,1,4]=>[2,5,3,6,1,4]=>00000 [2,7,1,6,5,4,3]=>[7,2,4,5,6,1,3]=>[2,4,5,6,1,3]=>00000 [2,7,3,1,4,5,6]=>[3,2,7,1,4,5,6]=>[3,2,1,4,5,6]=>00111 [2,7,3,1,4,6,5]=>[3,2,7,1,6,4,5]=>[3,2,1,6,4,5]=>00100 [2,7,3,1,5,4,6]=>[3,2,7,5,1,4,6]=>[3,2,5,1,4,6]=>00001 [2,7,3,1,5,6,4]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>00000 [2,7,3,1,6,4,5]=>[3,2,7,6,4,1,5]=>[3,2,6,4,1,5]=>00000 [2,7,3,1,6,5,4]=>[3,2,7,5,6,1,4]=>[3,2,5,6,1,4]=>00000 [2,7,3,4,1,5,6]=>[4,2,7,3,1,5,6]=>[4,2,3,1,5,6]=>00011 [2,7,3,4,1,6,5]=>[4,2,7,3,6,1,5]=>[4,2,3,6,1,5]=>00000 [2,7,3,4,5,1,6]=>[5,2,7,3,4,1,6]=>[5,2,3,4,1,6]=>00001 [2,7,3,4,5,6,1]=>[6,2,7,3,4,5,1]=>[6,2,3,4,5,1]=>00000 [2,7,3,4,6,1,5]=>[6,2,7,3,1,4,5]=>[6,2,3,1,4,5]=>00000 [2,7,3,4,6,5,1]=>[5,2,6,3,7,1,4]=>[5,2,6,3,1,4]=>00000 [2,7,3,5,1,4,6]=>[5,2,7,1,3,4,6]=>[5,2,1,3,4,6]=>00001 [2,7,3,5,1,6,4]=>[5,2,7,6,3,1,4]=>[5,2,6,3,1,4]=>00000 [2,7,3,5,4,1,6]=>[4,2,5,7,1,3,6]=>[4,2,5,1,3,6]=>00001 [2,7,3,5,4,6,1]=>[6,2,7,5,3,4,1]=>[6,2,5,3,4,1]=>00000 [2,7,3,5,6,1,4]=>[6,2,7,1,4,3,5]=>[6,2,1,4,3,5]=>00000 [2,7,3,5,6,4,1]=>[4,2,6,7,3,1,5]=>[4,2,6,3,1,5]=>00000 [2,7,3,6,1,4,5]=>[6,2,7,1,3,5,4]=>[6,2,1,3,5,4]=>00000 [2,7,3,6,1,5,4]=>[6,2,7,5,1,3,4]=>[6,2,5,1,3,4]=>00000 [2,7,3,6,4,1,5]=>[4,2,6,7,1,5,3]=>[4,2,6,1,5,3]=>00000 [2,7,3,6,4,5,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>00000 [2,7,3,6,5,1,4]=>[5,2,6,1,7,4,3]=>[5,2,6,1,4,3]=>00000 [2,7,3,6,5,4,1]=>[4,2,5,6,7,3,1]=>[4,2,5,6,3,1]=>00000 [2,7,4,1,3,5,6]=>[4,2,1,7,3,5,6]=>[4,2,1,3,5,6]=>00011 [2,7,4,1,3,6,5]=>[4,2,1,7,6,3,5]=>[4,2,1,6,3,5]=>00000 [2,7,4,1,5,3,6]=>[4,2,7,5,3,1,6]=>[4,2,5,3,1,6]=>00001 [2,7,4,1,5,6,3]=>[4,2,7,6,1,3,5]=>[4,2,6,1,3,5]=>00000 [2,7,4,1,6,3,5]=>[4,2,7,6,3,5,1]=>[4,2,6,3,5,1]=>00000 [2,7,4,1,6,5,3]=>[4,2,7,5,6,3,1]=>[4,2,5,6,3,1]=>00000 [2,7,4,3,1,5,6]=>[3,2,4,7,1,5,6]=>[3,2,4,1,5,6]=>00011 [2,7,4,3,1,6,5]=>[3,2,4,7,6,1,5]=>[3,2,4,6,1,5]=>00000 [2,7,4,3,5,1,6]=>[5,2,4,7,3,1,6]=>[5,2,4,3,1,6]=>00001 [2,7,4,3,5,6,1]=>[6,2,4,7,3,5,1]=>[6,2,4,3,5,1]=>00000 [2,7,4,3,6,1,5]=>[6,2,4,7,1,3,5]=>[6,2,4,1,3,5]=>00000 [2,7,4,3,6,5,1]=>[5,2,4,6,7,1,3]=>[5,2,4,6,1,3]=>00000 [2,7,4,5,1,3,6]=>[5,2,1,7,4,3,6]=>[5,2,1,4,3,6]=>00001 [2,7,4,5,1,6,3]=>[5,2,6,7,4,1,3]=>[5,2,6,4,1,3]=>00000 [2,7,4,5,3,1,6]=>[3,2,5,7,4,1,6]=>[3,2,5,4,1,6]=>00001 [2,7,4,5,3,6,1]=>[6,2,5,7,4,3,1]=>[6,2,5,4,3,1]=>00000 [2,7,4,5,6,1,3]=>[6,2,1,7,4,5,3]=>[6,2,1,4,5,3]=>00000 [2,7,4,5,6,3,1]=>[3,2,6,7,4,5,1]=>[3,2,6,4,5,1]=>00000 [2,7,4,6,1,3,5]=>[6,2,1,7,3,4,5]=>[6,2,1,3,4,5]=>00000 [2,7,4,6,1,5,3]=>[6,2,5,7,1,4,3]=>[6,2,5,1,4,3]=>00000 [2,7,4,6,3,1,5]=>[3,2,6,7,1,4,5]=>[3,2,6,1,4,5]=>00000 [2,7,4,6,3,5,1]=>[5,2,6,7,3,4,1]=>[5,2,6,3,4,1]=>00000 [2,7,4,6,5,1,3]=>[5,2,1,6,7,3,4]=>[5,2,1,6,3,4]=>00000 [2,7,4,6,5,3,1]=>[3,2,5,6,7,1,4]=>[3,2,5,6,1,4]=>00000 [2,7,5,1,3,4,6]=>[5,2,1,3,7,4,6]=>[5,2,1,3,4,6]=>00001 [2,7,5,1,3,6,4]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>00000 [2,7,5,1,4,3,6]=>[5,2,4,1,7,3,6]=>[5,2,4,1,3,6]=>00001 [2,7,5,1,4,6,3]=>[5,2,7,1,6,3,4]=>[5,2,1,6,3,4]=>00000 [2,7,5,1,6,3,4]=>[5,2,7,3,6,4,1]=>[5,2,3,6,4,1]=>00000 [2,7,5,1,6,4,3]=>[5,2,4,7,6,3,1]=>[5,2,4,6,3,1]=>00000 [2,7,5,3,1,4,6]=>[3,2,5,1,7,4,6]=>[3,2,5,1,4,6]=>00001 [2,7,5,3,1,6,4]=>[3,2,5,7,6,4,1]=>[3,2,5,6,4,1]=>00000 [2,7,5,3,4,1,6]=>[4,2,5,3,7,1,6]=>[4,2,5,3,1,6]=>00001 [2,7,5,3,4,6,1]=>[6,2,5,3,7,4,1]=>[6,2,5,3,4,1]=>00000 [2,7,5,3,6,1,4]=>[6,2,5,1,7,3,4]=>[6,2,5,1,3,4]=>00000 [2,7,5,3,6,4,1]=>[4,2,6,5,7,1,3]=>[4,2,6,5,1,3]=>00000 [2,7,5,4,1,3,6]=>[4,2,1,5,7,3,6]=>[4,2,1,5,3,6]=>00001 [2,7,5,4,1,6,3]=>[4,2,5,7,6,1,3]=>[4,2,5,6,1,3]=>00000 [2,7,5,4,3,1,6]=>[3,2,4,5,7,1,6]=>[3,2,4,5,1,6]=>00001 [2,7,5,4,3,6,1]=>[6,2,4,5,7,3,1]=>[6,2,4,5,3,1]=>00000 [2,7,5,4,6,1,3]=>[6,2,1,5,7,4,3]=>[6,2,1,5,4,3]=>00000 [2,7,5,4,6,3,1]=>[3,2,6,5,7,4,1]=>[3,2,6,5,4,1]=>00000 [2,7,5,6,1,3,4]=>[6,2,1,3,7,5,4]=>[6,2,1,3,5,4]=>00000 [2,7,5,6,1,4,3]=>[6,2,4,1,7,5,3]=>[6,2,4,1,5,3]=>00000 [2,7,5,6,3,1,4]=>[3,2,6,1,7,5,4]=>[3,2,6,1,5,4]=>00000 [2,7,5,6,3,4,1]=>[4,2,6,3,7,5,1]=>[4,2,6,3,5,1]=>00000 [2,7,5,6,4,1,3]=>[4,2,1,6,7,5,3]=>[4,2,1,6,5,3]=>00000 [2,7,5,6,4,3,1]=>[3,2,4,6,7,5,1]=>[3,2,4,6,5,1]=>00000 [2,7,6,1,3,4,5]=>[6,2,1,3,4,7,5]=>[6,2,1,3,4,5]=>00000 [2,7,6,1,3,5,4]=>[6,2,1,5,3,7,4]=>[6,2,1,5,3,4]=>00000 [2,7,6,1,4,3,5]=>[6,2,4,1,3,7,5]=>[6,2,4,1,3,5]=>00000 [2,7,6,1,4,5,3]=>[6,2,5,1,4,7,3]=>[6,2,5,1,4,3]=>00000 [2,7,6,1,5,3,4]=>[6,2,5,3,1,7,4]=>[6,2,5,3,1,4]=>00000 [2,7,6,1,5,4,3]=>[6,2,4,5,1,7,3]=>[6,2,4,5,1,3]=>00000 [2,7,6,3,1,4,5]=>[3,2,6,1,4,7,5]=>[3,2,6,1,4,5]=>00000 [2,7,6,3,1,5,4]=>[3,2,6,5,1,7,4]=>[3,2,6,5,1,4]=>00000 [2,7,6,3,4,1,5]=>[4,2,6,3,1,7,5]=>[4,2,6,3,1,5]=>00000 [2,7,6,3,4,5,1]=>[5,2,6,3,4,7,1]=>[5,2,6,3,4,1]=>00000 [2,7,6,3,5,1,4]=>[5,2,6,1,3,7,4]=>[5,2,6,1,3,4]=>00000 [2,7,6,3,5,4,1]=>[4,2,5,6,1,7,3]=>[4,2,5,6,1,3]=>00000 [2,7,6,4,1,3,5]=>[4,2,1,6,3,7,5]=>[4,2,1,6,3,5]=>00000 [2,7,6,4,1,5,3]=>[4,2,6,5,3,7,1]=>[4,2,6,5,3,1]=>00000 [2,7,6,4,3,1,5]=>[3,2,4,6,1,7,5]=>[3,2,4,6,1,5]=>00000 [2,7,6,4,3,5,1]=>[5,2,4,6,3,7,1]=>[5,2,4,6,3,1]=>00000 [2,7,6,4,5,1,3]=>[5,2,1,6,4,7,3]=>[5,2,1,6,4,3]=>00000 [2,7,6,4,5,3,1]=>[3,2,5,6,4,7,1]=>[3,2,5,6,4,1]=>00000 [2,7,6,5,1,3,4]=>[5,2,1,3,6,7,4]=>[5,2,1,3,6,4]=>00000 [2,7,6,5,1,4,3]=>[5,2,4,1,6,7,3]=>[5,2,4,1,6,3]=>00000 [2,7,6,5,3,1,4]=>[3,2,5,1,6,7,4]=>[3,2,5,1,6,4]=>00000 [2,7,6,5,3,4,1]=>[4,2,5,3,6,7,1]=>[4,2,5,3,6,1]=>00000 [2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3]=>[4,2,1,5,6,3]=>00000 [2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,1]=>00000 [3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6]=>00111 [3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,6]=>00111 [3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>[3,1,2,4,6,5]=>00110 [3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]=>[3,1,2,4,6,5]=>00110 [3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[3,1,2,4,5,6]=>00111 [3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5]=>[3,1,2,4,6,5]=>00110 [3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6]=>00101 [3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,6]=>00101 [3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]=>[3,1,2,6,5,4]=>00100 [3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]=>[3,1,2,5,6,4]=>00100 [3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]=>[3,1,2,5,4,6]=>00101 [3,1,2,5,7,6,4]=>[3,1,2,6,5,7,4]=>[3,1,2,6,5,4]=>00100 [3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5]=>00100 [3,1,2,6,4,7,5]=>[3,1,2,6,7,4,5]=>[3,1,2,6,4,5]=>00100 [3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7]=>[3,1,2,5,6,4]=>00100 [3,1,2,6,5,7,4]=>[3,1,2,7,6,5,4]=>[3,1,2,6,5,4]=>00100 [3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]=>[3,1,2,4,6,5]=>00110 [3,1,2,6,7,5,4]=>[3,1,2,5,7,6,4]=>[3,1,2,5,6,4]=>00100 [3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[3,1,2,4,5,6]=>00111 [3,1,2,7,4,6,5]=>[3,1,2,7,6,4,5]=>[3,1,2,6,4,5]=>00100 [3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6]=>[3,1,2,5,4,6]=>00101 [3,1,2,7,5,6,4]=>[3,1,2,6,7,5,4]=>[3,1,2,6,5,4]=>00100 [3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5]=>[3,1,2,6,4,5]=>00100 [3,1,2,7,6,5,4]=>[3,1,2,5,6,7,4]=>[3,1,2,5,6,4]=>00100 [3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[3,4,1,2,5,6]=>00011 [3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6]=>[3,4,1,2,5,6]=>00011 [3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7]=>[3,4,1,2,6,5]=>00010 [3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5]=>[3,4,1,2,6,5]=>00010 [3,1,4,2,7,5,6]=>[3,4,1,2,7,5,6]=>[3,4,1,2,5,6]=>00011 [3,1,4,2,7,6,5]=>[3,4,1,2,6,7,5]=>[3,4,1,2,6,5]=>00010 [3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7]=>[3,5,1,4,2,6]=>00001 [3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6]=>[3,5,1,4,2,6]=>00001 [3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7]=>[3,6,1,4,5,2]=>00000 [3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]=>[3,1,4,5,6,2]=>00000 [3,1,4,5,7,2,6]=>[3,7,1,4,5,2,6]=>[3,1,4,5,2,6]=>00001 [3,1,4,5,7,6,2]=>[3,6,1,4,5,7,2]=>[3,6,1,4,5,2]=>00000 [3,1,4,6,2,5,7]=>[3,6,1,4,2,5,7]=>[3,6,1,4,2,5]=>00000 [3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5]=>[3,6,1,4,2,5]=>00000 [3,1,4,6,5,2,7]=>[3,5,1,4,6,2,7]=>[3,5,1,4,6,2]=>00000 [3,1,4,6,5,7,2]=>[3,7,1,4,6,5,2]=>[3,1,4,6,5,2]=>00000 [3,1,4,6,7,2,5]=>[3,7,1,4,2,6,5]=>[3,1,4,2,6,5]=>00010 [3,1,4,6,7,5,2]=>[3,5,1,4,7,6,2]=>[3,5,1,4,6,2]=>00000 [3,1,4,7,2,5,6]=>[3,7,1,4,2,5,6]=>[3,1,4,2,5,6]=>00011 [3,1,4,7,2,6,5]=>[3,7,1,4,6,2,5]=>[3,1,4,6,2,5]=>00000 [3,1,4,7,5,2,6]=>[3,5,1,4,7,2,6]=>[3,5,1,4,2,6]=>00001 [3,1,4,7,5,6,2]=>[3,6,1,4,7,5,2]=>[3,6,1,4,5,2]=>00000 [3,1,4,7,6,2,5]=>[3,6,1,4,2,7,5]=>[3,6,1,4,2,5]=>00000 [3,1,4,7,6,5,2]=>[3,5,1,4,6,7,2]=>[3,5,1,4,6,2]=>00000 [3,1,5,2,4,6,7]=>[3,5,1,2,4,6,7]=>[3,5,1,2,4,6]=>00001 [3,1,5,2,4,7,6]=>[3,5,1,2,4,7,6]=>[3,5,1,2,4,6]=>00001 [3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7]=>[3,5,1,6,2,4]=>00000 [3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4]=>[3,5,1,2,6,4]=>00000 [3,1,5,2,7,4,6]=>[3,5,1,7,2,4,6]=>[3,5,1,2,4,6]=>00001 [3,1,5,2,7,6,4]=>[3,5,1,6,2,7,4]=>[3,5,1,6,2,4]=>00000 [3,1,5,4,2,6,7]=>[3,4,1,5,2,6,7]=>[3,4,1,5,2,6]=>00001 [3,1,5,4,2,7,6]=>[3,4,1,5,2,7,6]=>[3,4,1,5,2,6]=>00001 [3,1,5,4,6,2,7]=>[3,6,1,5,4,2,7]=>[3,6,1,5,4,2]=>00000 [3,1,5,4,6,7,2]=>[3,7,1,5,4,6,2]=>[3,1,5,4,6,2]=>00000 [3,1,5,4,7,2,6]=>[3,7,1,5,4,2,6]=>[3,1,5,4,2,6]=>00001 [3,1,5,4,7,6,2]=>[3,6,1,5,4,7,2]=>[3,6,1,5,4,2]=>00000 [3,1,5,6,2,4,7]=>[3,6,1,2,5,4,7]=>[3,6,1,2,5,4]=>00000 [3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4]=>[3,6,1,5,2,4]=>00000 [3,1,5,6,4,2,7]=>[3,4,1,6,5,2,7]=>[3,4,1,6,5,2]=>00000 [3,1,5,6,4,7,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>00000 [3,1,5,6,7,2,4]=>[3,7,1,2,5,6,4]=>[3,1,2,5,6,4]=>00100 [3,1,5,6,7,4,2]=>[3,4,1,7,5,6,2]=>[3,4,1,5,6,2]=>00000 [3,1,5,7,2,4,6]=>[3,7,1,2,5,4,6]=>[3,1,2,5,4,6]=>00101 [3,1,5,7,2,6,4]=>[3,7,1,6,5,2,4]=>[3,1,6,5,2,4]=>00000 [3,1,5,7,4,2,6]=>[3,4,1,7,5,2,6]=>[3,4,1,5,2,6]=>00001 [3,1,5,7,4,6,2]=>[3,6,1,7,5,4,2]=>[3,6,1,5,4,2]=>00000 [3,1,5,7,6,2,4]=>[3,6,1,2,5,7,4]=>[3,6,1,2,5,4]=>00000 [3,1,5,7,6,4,2]=>[3,4,1,6,5,7,2]=>[3,4,1,6,5,2]=>00000 [3,1,6,2,4,5,7]=>[3,6,1,2,4,5,7]=>[3,6,1,2,4,5]=>00000 [3,1,6,2,4,7,5]=>[3,6,1,2,7,4,5]=>[3,6,1,2,4,5]=>00000 [3,1,6,2,5,4,7]=>[3,6,1,5,2,4,7]=>[3,6,1,5,2,4]=>00000 [3,1,6,2,5,7,4]=>[3,6,1,7,2,5,4]=>[3,6,1,2,5,4]=>00000 [3,1,6,2,7,4,5]=>[3,6,1,7,4,2,5]=>[3,6,1,4,2,5]=>00000 [3,1,6,2,7,5,4]=>[3,6,1,5,7,2,4]=>[3,6,1,5,2,4]=>00000 [3,1,6,4,2,5,7]=>[3,4,1,6,2,5,7]=>[3,4,1,6,2,5]=>00000 [3,1,6,4,2,7,5]=>[3,4,1,6,7,2,5]=>[3,4,1,6,2,5]=>00000 [3,1,6,4,5,2,7]=>[3,5,1,6,4,2,7]=>[3,5,1,6,4,2]=>00000 [3,1,6,4,5,7,2]=>[3,7,1,6,4,5,2]=>[3,1,6,4,5,2]=>00000 [3,1,6,4,7,2,5]=>[3,7,1,6,2,4,5]=>[3,1,6,2,4,5]=>00000 [3,1,6,4,7,5,2]=>[3,5,1,7,6,2,4]=>[3,5,1,6,2,4]=>00000 [3,1,6,5,2,4,7]=>[3,5,1,2,6,4,7]=>[3,5,1,2,6,4]=>00000 [3,1,6,5,2,7,4]=>[3,5,1,6,7,4,2]=>[3,5,1,6,4,2]=>00000 [3,1,6,5,4,2,7]=>[3,4,1,5,6,2,7]=>[3,4,1,5,6,2]=>00000 [3,1,6,5,4,7,2]=>[3,7,1,5,6,4,2]=>[3,1,5,6,4,2]=>00000 [3,1,6,5,7,2,4]=>[3,7,1,2,6,5,4]=>[3,1,2,6,5,4]=>00100 [3,1,6,5,7,4,2]=>[3,4,1,7,6,5,2]=>[3,4,1,6,5,2]=>00000 [3,1,6,7,2,4,5]=>[3,7,1,2,4,6,5]=>[3,1,2,4,6,5]=>00110 [3,1,6,7,2,5,4]=>[3,7,1,5,2,6,4]=>[3,1,5,2,6,4]=>00000 [3,1,6,7,4,2,5]=>[3,4,1,7,2,6,5]=>[3,4,1,2,6,5]=>00010 [3,1,6,7,4,5,2]=>[3,5,1,7,4,6,2]=>[3,5,1,4,6,2]=>00000 [3,1,6,7,5,2,4]=>[3,5,1,2,7,6,4]=>[3,5,1,2,6,4]=>00000 [3,1,6,7,5,4,2]=>[3,4,1,5,7,6,2]=>[3,4,1,5,6,2]=>00000 [3,1,7,2,4,5,6]=>[3,7,1,2,4,5,6]=>[3,1,2,4,5,6]=>00111 [3,1,7,2,4,6,5]=>[3,7,1,2,6,4,5]=>[3,1,2,6,4,5]=>00100 [3,1,7,2,5,4,6]=>[3,7,1,5,2,4,6]=>[3,1,5,2,4,6]=>00001 [3,1,7,2,5,6,4]=>[3,7,1,6,2,5,4]=>[3,1,6,2,5,4]=>00000 [3,1,7,2,6,4,5]=>[3,7,1,6,4,2,5]=>[3,1,6,4,2,5]=>00000 [3,1,7,2,6,5,4]=>[3,7,1,5,6,2,4]=>[3,1,5,6,2,4]=>00000 [3,1,7,4,2,5,6]=>[3,4,1,7,2,5,6]=>[3,4,1,2,5,6]=>00011 [3,1,7,4,2,6,5]=>[3,4,1,7,6,2,5]=>[3,4,1,6,2,5]=>00000 [3,1,7,4,5,2,6]=>[3,5,1,7,4,2,6]=>[3,5,1,4,2,6]=>00001 [3,1,7,4,5,6,2]=>[3,6,1,7,4,5,2]=>[3,6,1,4,5,2]=>00000 [3,1,7,4,6,2,5]=>[3,6,1,7,2,4,5]=>[3,6,1,2,4,5]=>00000 [3,1,7,4,6,5,2]=>[3,5,1,6,7,2,4]=>[3,5,1,6,2,4]=>00000 [3,1,7,5,2,4,6]=>[3,5,1,2,7,4,6]=>[3,5,1,2,4,6]=>00001 [3,1,7,5,2,6,4]=>[3,5,1,7,6,4,2]=>[3,5,1,6,4,2]=>00000 [3,1,7,5,4,2,6]=>[3,4,1,5,7,2,6]=>[3,4,1,5,2,6]=>00001 [3,1,7,5,4,6,2]=>[3,6,1,5,7,4,2]=>[3,6,1,5,4,2]=>00000 [3,1,7,5,6,2,4]=>[3,6,1,2,7,5,4]=>[3,6,1,2,5,4]=>00000 [3,1,7,5,6,4,2]=>[3,4,1,6,7,5,2]=>[3,4,1,6,5,2]=>00000 [3,1,7,6,2,4,5]=>[3,6,1,2,4,7,5]=>[3,6,1,2,4,5]=>00000 [3,1,7,6,2,5,4]=>[3,6,1,5,2,7,4]=>[3,6,1,5,2,4]=>00000 [3,1,7,6,4,2,5]=>[3,4,1,6,2,7,5]=>[3,4,1,6,2,5]=>00000 [3,1,7,6,4,5,2]=>[3,5,1,6,4,7,2]=>[3,5,1,6,4,2]=>00000 [3,1,7,6,5,2,4]=>[3,5,1,2,6,7,4]=>[3,5,1,2,6,4]=>00000 [3,1,7,6,5,4,2]=>[3,4,1,5,6,7,2]=>[3,4,1,5,6,2]=>00000 [3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6]=>00111 [3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[2,3,1,4,5,6]=>00111 [3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5]=>00110 [3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]=>[2,3,1,4,6,5]=>00110 [3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6]=>[2,3,1,4,5,6]=>00111 [3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[2,3,1,4,6,5]=>00110 [3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[2,3,1,5,4,6]=>00101 [3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[2,3,1,5,4,6]=>00101 [3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]=>[2,3,1,6,5,4]=>00100 [3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]=>[2,3,1,5,6,4]=>00100 [3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6]=>[2,3,1,5,4,6]=>00101 [3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]=>[2,3,1,6,5,4]=>00100 [3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7]=>[2,3,1,6,4,5]=>00100 [3,2,1,6,4,7,5]=>[2,3,1,6,7,4,5]=>[2,3,1,6,4,5]=>00100 [3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[2,3,1,5,6,4]=>00100 [3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4]=>[2,3,1,6,5,4]=>00100 [3,2,1,6,7,4,5]=>[2,3,1,7,4,6,5]=>[2,3,1,4,6,5]=>00110 [3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4]=>[2,3,1,5,6,4]=>00100 [3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]=>[2,3,1,4,5,6]=>00111 [3,2,1,7,4,6,5]=>[2,3,1,7,6,4,5]=>[2,3,1,6,4,5]=>00100 [3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6]=>[2,3,1,5,4,6]=>00101 [3,2,1,7,5,6,4]=>[2,3,1,6,7,5,4]=>[2,3,1,6,5,4]=>00100 [3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5]=>[2,3,1,6,4,5]=>00100 [3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]=>[2,3,1,5,6,4]=>00100 [3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6]=>00011 [3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,6]=>00011 [3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5]=>00010 [3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>00010 [3,2,4,1,7,5,6]=>[4,3,2,1,7,5,6]=>[4,3,2,1,5,6]=>00011 [3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5]=>[4,3,2,1,6,5]=>00010 [3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>00001 [3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,4,1,6]=>00001 [3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,4,5,1]=>00000 [3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,1]=>00000 [3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]=>[3,2,4,5,1,6]=>00001 [3,2,4,5,7,6,1]=>[6,3,2,4,5,7,1]=>[6,3,2,4,5,1]=>00000 [3,2,4,6,1,5,7]=>[6,3,2,4,1,5,7]=>[6,3,2,4,1,5]=>00000 [3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]=>[6,3,2,4,1,5]=>00000 [3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>00000 [3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1]=>[3,2,4,6,5,1]=>00000 [3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5]=>[3,2,4,1,6,5]=>00010 [3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1]=>[5,3,2,4,6,1]=>00000 [3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6]=>[3,2,4,1,5,6]=>00011 [3,2,4,7,1,6,5]=>[7,3,2,4,6,1,5]=>[3,2,4,6,1,5]=>00000 [3,2,4,7,5,1,6]=>[5,3,2,4,7,1,6]=>[5,3,2,4,1,6]=>00001 [3,2,4,7,5,6,1]=>[6,3,2,4,7,5,1]=>[6,3,2,4,5,1]=>00000 [3,2,4,7,6,1,5]=>[6,3,2,4,1,7,5]=>[6,3,2,4,1,5]=>00000 [3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>00000 [3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>00001 [3,2,5,1,4,7,6]=>[5,3,2,1,4,7,6]=>[5,3,2,1,4,6]=>00001 [3,2,5,1,6,4,7]=>[5,3,2,6,1,4,7]=>[5,3,2,6,1,4]=>00000 [3,2,5,1,6,7,4]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>00000 [3,2,5,1,7,4,6]=>[5,3,2,7,1,4,6]=>[5,3,2,1,4,6]=>00001 [3,2,5,1,7,6,4]=>[5,3,2,6,1,7,4]=>[5,3,2,6,1,4]=>00000 [3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6]=>00001 [3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6]=>[4,3,2,5,1,6]=>00001 [3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,5,4,1]=>00000 [3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1]=>[3,2,5,4,6,1]=>00000 [3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6]=>[3,2,5,4,1,6]=>00001 [3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1]=>[6,3,2,5,4,1]=>00000 [3,2,5,6,1,4,7]=>[6,3,2,1,5,4,7]=>[6,3,2,1,5,4]=>00000 [3,2,5,6,1,7,4]=>[6,3,2,7,5,1,4]=>[6,3,2,5,1,4]=>00000 [3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7]=>[4,3,2,6,5,1]=>00000 [3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>00000 [3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4]=>[3,2,1,5,6,4]=>00100 [3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1]=>[4,3,2,5,6,1]=>00000 [3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6]=>[3,2,1,5,4,6]=>00101 [3,2,5,7,1,6,4]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>00000 [3,2,5,7,4,1,6]=>[4,3,2,7,5,1,6]=>[4,3,2,5,1,6]=>00001 [3,2,5,7,4,6,1]=>[6,3,2,7,5,4,1]=>[6,3,2,5,4,1]=>00000 [3,2,5,7,6,1,4]=>[6,3,2,1,5,7,4]=>[6,3,2,1,5,4]=>00000 [3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1]=>[4,3,2,6,5,1]=>00000 [3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>00000 [3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5]=>[6,3,2,1,4,5]=>00000 [3,2,6,1,5,4,7]=>[6,3,2,5,1,4,7]=>[6,3,2,5,1,4]=>00000 [3,2,6,1,5,7,4]=>[6,3,2,7,1,5,4]=>[6,3,2,1,5,4]=>00000 [3,2,6,1,7,4,5]=>[6,3,2,7,4,1,5]=>[6,3,2,4,1,5]=>00000 [3,2,6,1,7,5,4]=>[6,3,2,5,7,1,4]=>[6,3,2,5,1,4]=>00000 [3,2,6,4,1,5,7]=>[4,3,2,6,1,5,7]=>[4,3,2,6,1,5]=>00000 [3,2,6,4,1,7,5]=>[4,3,2,6,7,1,5]=>[4,3,2,6,1,5]=>00000 [3,2,6,4,5,1,7]=>[5,3,2,6,4,1,7]=>[5,3,2,6,4,1]=>00000 [3,2,6,4,5,7,1]=>[7,3,2,6,4,5,1]=>[3,2,6,4,5,1]=>00000 [3,2,6,4,7,1,5]=>[7,3,2,6,1,4,5]=>[3,2,6,1,4,5]=>00000 [3,2,6,4,7,5,1]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>00000 [3,2,6,5,1,4,7]=>[5,3,2,1,6,4,7]=>[5,3,2,1,6,4]=>00000 [3,2,6,5,1,7,4]=>[5,3,2,6,7,4,1]=>[5,3,2,6,4,1]=>00000 [3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1]=>00000 [3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1]=>[3,2,5,6,4,1]=>00000 [3,2,6,5,7,1,4]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>00100 [3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>00000 [3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5]=>[3,2,1,4,6,5]=>00110 [3,2,6,7,1,5,4]=>[7,3,2,5,1,6,4]=>[3,2,5,1,6,4]=>00000 [3,2,6,7,4,1,5]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>00010 [3,2,6,7,4,5,1]=>[5,3,2,7,4,6,1]=>[5,3,2,4,6,1]=>00000 [3,2,6,7,5,1,4]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>00000 [3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1]=>[4,3,2,5,6,1]=>00000 [3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6]=>[3,2,1,4,5,6]=>00111 [3,2,7,1,4,6,5]=>[7,3,2,1,6,4,5]=>[3,2,1,6,4,5]=>00100 [3,2,7,1,5,4,6]=>[7,3,2,5,1,4,6]=>[3,2,5,1,4,6]=>00001 [3,2,7,1,5,6,4]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>00000 [3,2,7,1,6,4,5]=>[7,3,2,6,4,1,5]=>[3,2,6,4,1,5]=>00000 [3,2,7,1,6,5,4]=>[7,3,2,5,6,1,4]=>[3,2,5,6,1,4]=>00000 [3,2,7,4,1,5,6]=>[4,3,2,7,1,5,6]=>[4,3,2,1,5,6]=>00011 [3,2,7,4,1,6,5]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>00000 [3,2,7,4,5,1,6]=>[5,3,2,7,4,1,6]=>[5,3,2,4,1,6]=>00001 [3,2,7,4,5,6,1]=>[6,3,2,7,4,5,1]=>[6,3,2,4,5,1]=>00000 [3,2,7,4,6,1,5]=>[6,3,2,7,1,4,5]=>[6,3,2,1,4,5]=>00000 [3,2,7,4,6,5,1]=>[5,3,2,6,7,1,4]=>[5,3,2,6,1,4]=>00000 [3,2,7,5,1,4,6]=>[5,3,2,1,7,4,6]=>[5,3,2,1,4,6]=>00001 [3,2,7,5,1,6,4]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>00000 [3,2,7,5,4,1,6]=>[4,3,2,5,7,1,6]=>[4,3,2,5,1,6]=>00001 [3,2,7,5,4,6,1]=>[6,3,2,5,7,4,1]=>[6,3,2,5,4,1]=>00000 [3,2,7,5,6,1,4]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>00000 [3,2,7,5,6,4,1]=>[4,3,2,6,7,5,1]=>[4,3,2,6,5,1]=>00000 [3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5]=>[6,3,2,1,4,5]=>00000 [3,2,7,6,1,5,4]=>[6,3,2,5,1,7,4]=>[6,3,2,5,1,4]=>00000 [3,2,7,6,4,1,5]=>[4,3,2,6,1,7,5]=>[4,3,2,6,1,5]=>00000 [3,2,7,6,4,5,1]=>[5,3,2,6,4,7,1]=>[5,3,2,6,4,1]=>00000 [3,2,7,6,5,1,4]=>[5,3,2,1,6,7,4]=>[5,3,2,1,6,4]=>00000 [3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,1]=>00000 [3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>[4,1,3,2,5,6]=>00011 [3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]=>[4,1,3,2,5,6]=>00011 [3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]=>[4,1,3,2,6,5]=>00010 [3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]=>[4,1,3,2,6,5]=>00010 [3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]=>[4,1,3,2,5,6]=>00011 [3,4,1,2,7,6,5]=>[4,1,3,2,6,7,5]=>[4,1,3,2,6,5]=>00010 [3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>00001 [3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6]=>[4,5,3,1,2,6]=>00001 [3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7]=>[4,6,3,1,5,2]=>00000 [3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]=>[4,3,1,5,6,2]=>00000 [3,4,1,5,7,2,6]=>[4,7,3,1,5,2,6]=>[4,3,1,5,2,6]=>00001 [3,4,1,5,7,6,2]=>[4,6,3,1,5,7,2]=>[4,6,3,1,5,2]=>00000 [3,4,1,6,2,5,7]=>[4,6,3,1,2,5,7]=>[4,6,3,1,2,5]=>00000 [3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5]=>[4,6,3,1,2,5]=>00000 [3,4,1,6,5,2,7]=>[4,5,3,1,6,2,7]=>[4,5,3,1,6,2]=>00000 [3,4,1,6,5,7,2]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>00000 [3,4,1,6,7,2,5]=>[4,7,3,1,2,6,5]=>[4,3,1,2,6,5]=>00010 [3,4,1,6,7,5,2]=>[4,5,3,1,7,6,2]=>[4,5,3,1,6,2]=>00000 [3,4,1,7,2,5,6]=>[4,7,3,1,2,5,6]=>[4,3,1,2,5,6]=>00011 [3,4,1,7,2,6,5]=>[4,7,3,1,6,2,5]=>[4,3,1,6,2,5]=>00000 [3,4,1,7,5,2,6]=>[4,5,3,1,7,2,6]=>[4,5,3,1,2,6]=>00001 [3,4,1,7,5,6,2]=>[4,6,3,1,7,5,2]=>[4,6,3,1,5,2]=>00000 [3,4,1,7,6,2,5]=>[4,6,3,1,2,7,5]=>[4,6,3,1,2,5]=>00000 [3,4,1,7,6,5,2]=>[4,5,3,1,6,7,2]=>[4,5,3,1,6,2]=>00000 [3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]=>[2,4,3,1,5,6]=>00011 [3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]=>[2,4,3,1,5,6]=>00011 [3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7]=>[2,4,3,1,6,5]=>00010 [3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]=>[2,4,3,1,6,5]=>00010 [3,4,2,1,7,5,6]=>[2,4,3,1,7,5,6]=>[2,4,3,1,5,6]=>00011 [3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5]=>[2,4,3,1,6,5]=>00010 [3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6]=>00001 [3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>00001 [3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1]=>00000 [3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,6,1]=>00000 [3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6]=>[4,3,2,5,1,6]=>00001 [3,4,2,5,7,6,1]=>[6,4,3,2,5,7,1]=>[6,4,3,2,5,1]=>00000 [3,4,2,6,1,5,7]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,5]=>00000 [3,4,2,6,1,7,5]=>[6,4,3,2,7,1,5]=>[6,4,3,2,1,5]=>00000 [3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1]=>00000 [3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1]=>[4,3,2,6,5,1]=>00000 [3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>00010 [3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>00000 [3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [3,4,2,7,1,6,5]=>[7,4,3,2,6,1,5]=>[4,3,2,6,1,5]=>00000 [3,4,2,7,5,1,6]=>[5,4,3,2,7,1,6]=>[5,4,3,2,1,6]=>00001 [3,4,2,7,5,6,1]=>[6,4,3,2,7,5,1]=>[6,4,3,2,5,1]=>00000 [3,4,2,7,6,1,5]=>[6,4,3,2,1,7,5]=>[6,4,3,2,1,5]=>00000 [3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,1]=>00000 [3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]=>[5,1,3,4,2,6]=>00001 [3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]=>[5,1,3,4,2,6]=>00001 [3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>00000 [3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]=>[5,3,4,1,6,2]=>00000 [3,4,5,1,7,2,6]=>[5,7,3,4,1,2,6]=>[5,3,4,1,2,6]=>00001 [3,4,5,1,7,6,2]=>[5,6,3,4,1,7,2]=>[5,6,3,4,1,2]=>00000 [3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]=>[2,5,3,4,1,6]=>00001 [3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]=>[2,5,3,4,1,6]=>00001 [3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1]=>00000 [3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>00000 [3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>00001 [3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1]=>[6,5,3,4,2,1]=>00000 [3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]=>[6,1,3,4,5,2]=>00000 [3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]=>[6,3,4,5,1,2]=>00000 [3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]=>[2,6,3,4,5,1]=>00000 [3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>00000 [3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]=>[1,3,4,5,6,2]=>10000 [3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]=>[2,3,4,5,6,1]=>00000 [3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]=>[1,3,4,5,2,6]=>10001 [3,4,5,7,1,6,2]=>[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>00000 [3,4,5,7,2,1,6]=>[2,7,3,4,5,1,6]=>[2,3,4,5,1,6]=>00001 [3,4,5,7,2,6,1]=>[6,7,3,4,5,2,1]=>[6,3,4,5,2,1]=>00000 [3,4,5,7,6,1,2]=>[6,1,3,4,5,7,2]=>[6,1,3,4,5,2]=>00000 [3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1]=>[2,6,3,4,5,1]=>00000 [3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]=>[6,1,3,4,2,5]=>00000 [3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]=>[6,1,3,4,2,5]=>00000 [3,4,6,1,5,2,7]=>[6,5,3,4,1,2,7]=>[6,5,3,4,1,2]=>00000 [3,4,6,1,5,7,2]=>[6,7,3,4,1,5,2]=>[6,3,4,1,5,2]=>00000 [3,4,6,1,7,2,5]=>[6,7,3,4,2,1,5]=>[6,3,4,2,1,5]=>00000 [3,4,6,1,7,5,2]=>[6,5,3,4,7,1,2]=>[6,5,3,4,1,2]=>00000 [3,4,6,2,1,5,7]=>[2,6,3,4,1,5,7]=>[2,6,3,4,1,5]=>00000 [3,4,6,2,1,7,5]=>[2,6,3,4,7,1,5]=>[2,6,3,4,1,5]=>00000 [3,4,6,2,5,1,7]=>[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>00000 [3,4,6,2,5,7,1]=>[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>00000 [3,4,6,2,7,1,5]=>[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>00000 [3,4,6,2,7,5,1]=>[5,7,3,4,6,1,2]=>[5,3,4,6,1,2]=>00000 [3,4,6,5,1,2,7]=>[5,1,3,4,6,2,7]=>[5,1,3,4,6,2]=>00000 [3,4,6,5,1,7,2]=>[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>00000 [3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]=>[2,5,3,4,6,1]=>00000 [3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>00000 [3,4,6,5,7,1,2]=>[7,1,3,4,6,5,2]=>[1,3,4,6,5,2]=>10000 [3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1]=>[2,3,4,6,5,1]=>00000 [3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]=>[1,3,4,2,6,5]=>10010 [3,4,6,7,1,5,2]=>[7,5,3,4,1,6,2]=>[5,3,4,1,6,2]=>00000 [3,4,6,7,2,1,5]=>[2,7,3,4,1,6,5]=>[2,3,4,1,6,5]=>00010 [3,4,6,7,2,5,1]=>[5,7,3,4,2,6,1]=>[5,3,4,2,6,1]=>00000 [3,4,6,7,5,1,2]=>[5,1,3,4,7,6,2]=>[5,1,3,4,6,2]=>00000 [3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1]=>[2,5,3,4,6,1]=>00000 [3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]=>[1,3,4,2,5,6]=>10011 [3,4,7,1,2,6,5]=>[7,1,3,4,6,2,5]=>[1,3,4,6,2,5]=>10000 [3,4,7,1,5,2,6]=>[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>00001 [3,4,7,1,5,6,2]=>[7,6,3,4,1,5,2]=>[6,3,4,1,5,2]=>00000 [3,4,7,1,6,2,5]=>[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>00000 [3,4,7,1,6,5,2]=>[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>00000 [3,4,7,2,1,5,6]=>[2,7,3,4,1,5,6]=>[2,3,4,1,5,6]=>00011 [3,4,7,2,1,6,5]=>[2,7,3,4,6,1,5]=>[2,3,4,6,1,5]=>00000 [3,4,7,2,5,1,6]=>[5,7,3,4,2,1,6]=>[5,3,4,2,1,6]=>00001 [3,4,7,2,5,6,1]=>[6,7,3,4,2,5,1]=>[6,3,4,2,5,1]=>00000 [3,4,7,2,6,1,5]=>[6,7,3,4,1,2,5]=>[6,3,4,1,2,5]=>00000 [3,4,7,2,6,5,1]=>[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>00000 [3,4,7,5,1,2,6]=>[5,1,3,4,7,2,6]=>[5,1,3,4,2,6]=>00001 [3,4,7,5,1,6,2]=>[5,7,3,4,6,2,1]=>[5,3,4,6,2,1]=>00000 [3,4,7,5,2,1,6]=>[2,5,3,4,7,1,6]=>[2,5,3,4,1,6]=>00001 [3,4,7,5,2,6,1]=>[6,5,3,4,7,2,1]=>[6,5,3,4,2,1]=>00000 [3,4,7,5,6,1,2]=>[6,1,3,4,7,5,2]=>[6,1,3,4,5,2]=>00000 [3,4,7,5,6,2,1]=>[2,6,3,4,7,5,1]=>[2,6,3,4,5,1]=>00000 [3,4,7,6,1,2,5]=>[6,1,3,4,2,7,5]=>[6,1,3,4,2,5]=>00000 [3,4,7,6,1,5,2]=>[6,5,3,4,1,7,2]=>[6,5,3,4,1,2]=>00000 [3,4,7,6,2,1,5]=>[2,6,3,4,1,7,5]=>[2,6,3,4,1,5]=>00000 [3,4,7,6,2,5,1]=>[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>00000 [3,4,7,6,5,1,2]=>[5,1,3,4,6,7,2]=>[5,1,3,4,6,2]=>00000 [3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1]=>[2,5,3,4,6,1]=>00000 [3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]=>[5,1,3,2,4,6]=>00001 [3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]=>[5,1,3,2,4,6]=>00001 [3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]=>[5,1,3,6,2,4]=>00000 [3,5,1,2,6,7,4]=>[5,1,3,7,2,6,4]=>[5,1,3,2,6,4]=>00000 [3,5,1,2,7,4,6]=>[5,1,3,7,2,4,6]=>[5,1,3,2,4,6]=>00001 [3,5,1,2,7,6,4]=>[5,1,3,6,2,7,4]=>[5,1,3,6,2,4]=>00000 [3,5,1,4,2,6,7]=>[5,4,3,1,2,6,7]=>[5,4,3,1,2,6]=>00001 [3,5,1,4,2,7,6]=>[5,4,3,1,2,7,6]=>[5,4,3,1,2,6]=>00001 [3,5,1,4,6,2,7]=>[5,6,3,1,4,2,7]=>[5,6,3,1,4,2]=>00000 [3,5,1,4,6,7,2]=>[5,7,3,1,4,6,2]=>[5,3,1,4,6,2]=>00000 [3,5,1,4,7,2,6]=>[5,7,3,1,4,2,6]=>[5,3,1,4,2,6]=>00001 [3,5,1,4,7,6,2]=>[5,6,3,1,4,7,2]=>[5,6,3,1,4,2]=>00000 [3,5,1,6,2,4,7]=>[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>00000 [3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>[5,6,3,1,2,4]=>00000 [3,5,1,6,4,2,7]=>[5,4,3,6,1,2,7]=>[5,4,3,6,1,2]=>00000 [3,5,1,6,4,7,2]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>00000 [3,5,1,6,7,2,4]=>[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>00000 [3,5,1,6,7,4,2]=>[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>00000 [3,5,1,7,2,4,6]=>[5,7,3,2,1,4,6]=>[5,3,2,1,4,6]=>00001 [3,5,1,7,2,6,4]=>[5,7,3,6,1,2,4]=>[5,3,6,1,2,4]=>00000 [3,5,1,7,4,2,6]=>[5,4,3,7,1,2,6]=>[5,4,3,1,2,6]=>00001 [3,5,1,7,4,6,2]=>[5,6,3,7,1,4,2]=>[5,6,3,1,4,2]=>00000 [3,5,1,7,6,2,4]=>[5,6,3,2,1,7,4]=>[5,6,3,2,1,4]=>00000 [3,5,1,7,6,4,2]=>[5,4,3,6,1,7,2]=>[5,4,3,6,1,2]=>00000 [3,5,2,1,4,6,7]=>[2,5,3,1,4,6,7]=>[2,5,3,1,4,6]=>00001 [3,5,2,1,4,7,6]=>[2,5,3,1,4,7,6]=>[2,5,3,1,4,6]=>00001 [3,5,2,1,6,4,7]=>[2,5,3,6,1,4,7]=>[2,5,3,6,1,4]=>00000 [3,5,2,1,6,7,4]=>[2,5,3,7,1,6,4]=>[2,5,3,1,6,4]=>00000 [3,5,2,1,7,4,6]=>[2,5,3,7,1,4,6]=>[2,5,3,1,4,6]=>00001 [3,5,2,1,7,6,4]=>[2,5,3,6,1,7,4]=>[2,5,3,6,1,4]=>00000 [3,5,2,4,1,6,7]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>00001 [3,5,2,4,1,7,6]=>[4,5,3,2,1,7,6]=>[4,5,3,2,1,6]=>00001 [3,5,2,4,6,1,7]=>[6,5,3,2,4,1,7]=>[6,5,3,2,4,1]=>00000 [3,5,2,4,6,7,1]=>[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>00000 [3,5,2,4,7,1,6]=>[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>00001 [3,5,2,4,7,6,1]=>[6,5,3,2,4,7,1]=>[6,5,3,2,4,1]=>00000 [3,5,2,6,1,4,7]=>[6,5,3,1,2,4,7]=>[6,5,3,1,2,4]=>00000 [3,5,2,6,1,7,4]=>[6,5,3,7,2,1,4]=>[6,5,3,2,1,4]=>00000 [3,5,2,6,4,1,7]=>[4,6,3,5,1,2,7]=>[4,6,3,5,1,2]=>00000 [3,5,2,6,4,7,1]=>[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>00000 [3,5,2,6,7,1,4]=>[7,5,3,1,2,6,4]=>[5,3,1,2,6,4]=>00000 [3,5,2,6,7,4,1]=>[4,7,3,5,1,6,2]=>[4,3,5,1,6,2]=>00000 [3,5,2,7,1,4,6]=>[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>00001 [3,5,2,7,1,6,4]=>[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>00000 [3,5,2,7,4,1,6]=>[4,7,3,5,1,2,6]=>[4,3,5,1,2,6]=>00001 [3,5,2,7,4,6,1]=>[6,5,3,7,2,4,1]=>[6,5,3,2,4,1]=>00000 [3,5,2,7,6,1,4]=>[6,5,3,1,2,7,4]=>[6,5,3,1,2,4]=>00000 [3,5,2,7,6,4,1]=>[4,6,3,5,1,7,2]=>[4,6,3,5,1,2]=>00000 [3,5,4,1,2,6,7]=>[4,1,3,5,2,6,7]=>[4,1,3,5,2,6]=>00001 [3,5,4,1,2,7,6]=>[4,1,3,5,2,7,6]=>[4,1,3,5,2,6]=>00001 [3,5,4,1,6,2,7]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>00000 [3,5,4,1,6,7,2]=>[4,5,3,7,2,6,1]=>[4,5,3,2,6,1]=>00000 [3,5,4,1,7,2,6]=>[4,5,3,7,2,1,6]=>[4,5,3,2,1,6]=>00001 [3,5,4,1,7,6,2]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>00000 [3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]=>[2,4,3,5,1,6]=>00001 [3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6]=>[2,4,3,5,1,6]=>00001 [3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7]=>[6,4,3,5,2,1]=>00000 [3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1]=>[4,3,5,2,6,1]=>00000 [3,5,4,2,7,1,6]=>[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>00001 [3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1]=>[6,4,3,5,2,1]=>00000 [3,5,4,6,1,2,7]=>[6,1,3,5,4,2,7]=>[6,1,3,5,4,2]=>00000 [3,5,4,6,1,7,2]=>[6,7,3,5,4,1,2]=>[6,3,5,4,1,2]=>00000 [3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]=>[2,6,3,5,4,1]=>00000 [3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>00000 [3,5,4,6,7,1,2]=>[7,1,3,5,4,6,2]=>[1,3,5,4,6,2]=>10000 [3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1]=>[2,3,5,4,6,1]=>00000 [3,5,4,7,1,2,6]=>[7,1,3,5,4,2,6]=>[1,3,5,4,2,6]=>10001 [3,5,4,7,1,6,2]=>[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>00000 [3,5,4,7,2,1,6]=>[2,7,3,5,4,1,6]=>[2,3,5,4,1,6]=>00001 [3,5,4,7,2,6,1]=>[6,7,3,5,4,2,1]=>[6,3,5,4,2,1]=>00000 [3,5,4,7,6,1,2]=>[6,1,3,5,4,7,2]=>[6,1,3,5,4,2]=>00000 [3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1]=>[2,6,3,5,4,1]=>00000 [3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]=>[6,1,3,2,5,4]=>00000 [3,5,6,1,2,7,4]=>[6,1,3,7,5,2,4]=>[6,1,3,5,2,4]=>00000 [3,5,6,1,4,2,7]=>[6,4,3,1,5,2,7]=>[6,4,3,1,5,2]=>00000 [3,5,6,1,4,7,2]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>00000 [3,5,6,1,7,2,4]=>[6,7,3,2,5,1,4]=>[6,3,2,5,1,4]=>00000 [3,5,6,1,7,4,2]=>[6,4,3,7,5,1,2]=>[6,4,3,5,1,2]=>00000 [3,5,6,2,1,4,7]=>[2,6,3,1,5,4,7]=>[2,6,3,1,5,4]=>00000 [3,5,6,2,1,7,4]=>[2,6,3,7,5,1,4]=>[2,6,3,5,1,4]=>00000 [3,5,6,2,4,1,7]=>[4,6,3,2,5,1,7]=>[4,6,3,2,5,1]=>00000 [3,5,6,2,4,7,1]=>[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>00000 [3,5,6,2,7,1,4]=>[7,6,3,1,5,2,4]=>[6,3,1,5,2,4]=>00000 [3,5,6,2,7,4,1]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>00000 [3,5,6,4,1,2,7]=>[4,1,3,6,5,2,7]=>[4,1,3,6,5,2]=>00000 [3,5,6,4,1,7,2]=>[4,6,3,7,5,2,1]=>[4,6,3,5,2,1]=>00000 [3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]=>[2,4,3,6,5,1]=>00000 [3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>00000 [3,5,6,4,7,1,2]=>[7,1,3,6,5,4,2]=>[1,3,6,5,4,2]=>10000 [3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1]=>[2,3,6,5,4,1]=>00000 [3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]=>[1,3,2,5,6,4]=>10100 [3,5,6,7,1,4,2]=>[7,4,3,1,5,6,2]=>[4,3,1,5,6,2]=>00000 [3,5,6,7,2,1,4]=>[2,7,3,1,5,6,4]=>[2,3,1,5,6,4]=>00100 [3,5,6,7,2,4,1]=>[4,7,3,2,5,6,1]=>[4,3,2,5,6,1]=>00000 [3,5,6,7,4,1,2]=>[4,1,3,7,5,6,2]=>[4,1,3,5,6,2]=>00000 [3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1]=>[2,4,3,5,6,1]=>00000 [3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]=>[1,3,2,5,4,6]=>10101 [3,5,7,1,2,6,4]=>[7,1,3,6,5,2,4]=>[1,3,6,5,2,4]=>10000 [3,5,7,1,4,2,6]=>[7,4,3,1,5,2,6]=>[4,3,1,5,2,6]=>00001 [3,5,7,1,4,6,2]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>00000 [3,5,7,1,6,2,4]=>[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>00000 [3,5,7,1,6,4,2]=>[7,4,3,6,5,1,2]=>[4,3,6,5,1,2]=>00000 [3,5,7,2,1,4,6]=>[2,7,3,1,5,4,6]=>[2,3,1,5,4,6]=>00101 [3,5,7,2,1,6,4]=>[2,7,3,6,5,1,4]=>[2,3,6,5,1,4]=>00000 [3,5,7,2,4,1,6]=>[4,7,3,2,5,1,6]=>[4,3,2,5,1,6]=>00001 [3,5,7,2,4,6,1]=>[6,7,3,2,5,4,1]=>[6,3,2,5,4,1]=>00000 [3,5,7,2,6,1,4]=>[6,7,3,1,5,2,4]=>[6,3,1,5,2,4]=>00000 [3,5,7,2,6,4,1]=>[4,6,3,7,5,1,2]=>[4,6,3,5,1,2]=>00000 [3,5,7,4,1,2,6]=>[4,1,3,7,5,2,6]=>[4,1,3,5,2,6]=>00001 [3,5,7,4,1,6,2]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>00000 [3,5,7,4,2,1,6]=>[2,4,3,7,5,1,6]=>[2,4,3,5,1,6]=>00001 [3,5,7,4,2,6,1]=>[6,4,3,7,5,2,1]=>[6,4,3,5,2,1]=>00000 [3,5,7,4,6,1,2]=>[6,1,3,7,5,4,2]=>[6,1,3,5,4,2]=>00000 [3,5,7,4,6,2,1]=>[2,6,3,7,5,4,1]=>[2,6,3,5,4,1]=>00000 [3,5,7,6,1,2,4]=>[6,1,3,2,5,7,4]=>[6,1,3,2,5,4]=>00000 [3,5,7,6,1,4,2]=>[6,4,3,1,5,7,2]=>[6,4,3,1,5,2]=>00000 [3,5,7,6,2,1,4]=>[2,6,3,1,5,7,4]=>[2,6,3,1,5,4]=>00000 [3,5,7,6,2,4,1]=>[4,6,3,2,5,7,1]=>[4,6,3,2,5,1]=>00000 [3,5,7,6,4,1,2]=>[4,1,3,6,5,7,2]=>[4,1,3,6,5,2]=>00000 [3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1]=>[2,4,3,6,5,1]=>00000 [3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]=>[6,1,3,2,4,5]=>00000 [3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]=>[6,1,3,2,4,5]=>00000 [3,6,1,2,5,4,7]=>[6,1,3,5,2,4,7]=>[6,1,3,5,2,4]=>00000 [3,6,1,2,5,7,4]=>[6,1,3,7,2,5,4]=>[6,1,3,2,5,4]=>00000 [3,6,1,2,7,4,5]=>[6,1,3,7,4,2,5]=>[6,1,3,4,2,5]=>00000 [3,6,1,2,7,5,4]=>[6,1,3,5,7,2,4]=>[6,1,3,5,2,4]=>00000 [3,6,1,4,2,5,7]=>[6,4,3,1,2,5,7]=>[6,4,3,1,2,5]=>00000 [3,6,1,4,2,7,5]=>[6,4,3,1,7,2,5]=>[6,4,3,1,2,5]=>00000 [3,6,1,4,5,2,7]=>[6,5,3,1,4,2,7]=>[6,5,3,1,4,2]=>00000 [3,6,1,4,5,7,2]=>[6,7,3,1,2,4,5]=>[6,3,1,2,4,5]=>00000 [3,6,1,4,7,2,5]=>[6,7,3,1,4,5,2]=>[6,3,1,4,5,2]=>00000 [3,6,1,4,7,5,2]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>00000 [3,6,1,5,2,4,7]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,4]=>00000 [3,6,1,5,2,7,4]=>[6,5,3,7,1,2,4]=>[6,5,3,1,2,4]=>00000 [3,6,1,5,4,2,7]=>[6,4,3,5,1,2,7]=>[6,4,3,5,1,2]=>00000 [3,6,1,5,4,7,2]=>[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>00000 [3,6,1,5,7,2,4]=>[6,7,3,2,1,5,4]=>[6,3,2,1,5,4]=>00000 [3,6,1,5,7,4,2]=>[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>00000 [3,6,1,7,2,4,5]=>[6,7,3,2,4,1,5]=>[6,3,2,4,1,5]=>00000 [3,6,1,7,2,5,4]=>[6,7,3,5,2,1,4]=>[6,3,5,2,1,4]=>00000 [3,6,1,7,4,2,5]=>[6,4,3,7,2,1,5]=>[6,4,3,2,1,5]=>00000 [3,6,1,7,4,5,2]=>[6,5,3,7,4,1,2]=>[6,5,3,4,1,2]=>00000 [3,6,1,7,5,2,4]=>[6,5,3,2,7,1,4]=>[6,5,3,2,1,4]=>00000 [3,6,1,7,5,4,2]=>[6,4,3,5,7,1,2]=>[6,4,3,5,1,2]=>00000 [3,6,2,1,4,5,7]=>[2,6,3,1,4,5,7]=>[2,6,3,1,4,5]=>00000 [3,6,2,1,4,7,5]=>[2,6,3,1,7,4,5]=>[2,6,3,1,4,5]=>00000 [3,6,2,1,5,4,7]=>[2,6,3,5,1,4,7]=>[2,6,3,5,1,4]=>00000 [3,6,2,1,5,7,4]=>[2,6,3,7,1,5,4]=>[2,6,3,1,5,4]=>00000 [3,6,2,1,7,4,5]=>[2,6,3,7,4,1,5]=>[2,6,3,4,1,5]=>00000 [3,6,2,1,7,5,4]=>[2,6,3,5,7,1,4]=>[2,6,3,5,1,4]=>00000 [3,6,2,4,1,5,7]=>[4,6,3,2,1,5,7]=>[4,6,3,2,1,5]=>00000 [3,6,2,4,1,7,5]=>[4,6,3,2,7,1,5]=>[4,6,3,2,1,5]=>00000 [3,6,2,4,5,1,7]=>[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>00000 [3,6,2,4,5,7,1]=>[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>00000 [3,6,2,4,7,1,5]=>[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>00000 [3,6,2,4,7,5,1]=>[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>00000 [3,6,2,5,1,4,7]=>[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>00000 [3,6,2,5,1,7,4]=>[5,6,3,7,2,1,4]=>[5,6,3,2,1,4]=>00000 [3,6,2,5,4,1,7]=>[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>00000 [3,6,2,5,4,7,1]=>[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>00000 [3,6,2,5,7,1,4]=>[7,6,3,1,4,2,5]=>[6,3,1,4,2,5]=>00000 [3,6,2,5,7,4,1]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>00000 [3,6,2,7,1,4,5]=>[7,6,3,1,2,5,4]=>[6,3,1,2,5,4]=>00000 [3,6,2,7,1,5,4]=>[7,6,3,5,1,2,4]=>[6,3,5,1,2,4]=>00000 [3,6,2,7,4,1,5]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>00000 [3,6,2,7,4,5,1]=>[5,6,3,7,4,2,1]=>[5,6,3,4,2,1]=>00000 [3,6,2,7,5,1,4]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>00000 [3,6,2,7,5,4,1]=>[4,5,3,7,6,2,1]=>[4,5,3,6,2,1]=>00000 [3,6,4,1,2,5,7]=>[4,1,3,6,2,5,7]=>[4,1,3,6,2,5]=>00000 [3,6,4,1,2,7,5]=>[4,1,3,6,7,2,5]=>[4,1,3,6,2,5]=>00000 [3,6,4,1,5,2,7]=>[4,6,3,5,2,1,7]=>[4,6,3,5,2,1]=>00000 [3,6,4,1,5,7,2]=>[4,6,3,7,1,2,5]=>[4,6,3,1,2,5]=>00000 [3,6,4,1,7,2,5]=>[4,6,3,7,2,5,1]=>[4,6,3,2,5,1]=>00000 [3,6,4,1,7,5,2]=>[4,6,3,5,7,2,1]=>[4,6,3,5,2,1]=>00000 [3,6,4,2,1,5,7]=>[2,4,3,6,1,5,7]=>[2,4,3,6,1,5]=>00000 [3,6,4,2,1,7,5]=>[2,4,3,6,7,1,5]=>[2,4,3,6,1,5]=>00000 [3,6,4,2,5,1,7]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1]=>00000 [3,6,4,2,5,7,1]=>[7,4,3,6,2,5,1]=>[4,3,6,2,5,1]=>00000 [3,6,4,2,7,1,5]=>[7,4,3,6,1,2,5]=>[4,3,6,1,2,5]=>00000 [3,6,4,2,7,5,1]=>[5,4,3,7,6,1,2]=>[5,4,3,6,1,2]=>00000 [3,6,4,5,1,2,7]=>[5,1,3,6,4,2,7]=>[5,1,3,6,4,2]=>00000 [3,6,4,5,1,7,2]=>[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>00000 [3,6,4,5,2,1,7]=>[2,5,3,6,4,1,7]=>[2,5,3,6,4,1]=>00000 [3,6,4,5,2,7,1]=>[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>00000 [3,6,4,5,7,1,2]=>[7,1,3,6,4,5,2]=>[1,3,6,4,5,2]=>10000 [3,6,4,5,7,2,1]=>[2,7,3,6,4,5,1]=>[2,3,6,4,5,1]=>00000 [3,6,4,7,1,2,5]=>[7,1,3,6,2,4,5]=>[1,3,6,2,4,5]=>10000 [3,6,4,7,1,5,2]=>[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>00000 [3,6,4,7,2,1,5]=>[2,7,3,6,1,4,5]=>[2,3,6,1,4,5]=>00000 [3,6,4,7,2,5,1]=>[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>00000 [3,6,4,7,5,1,2]=>[5,1,3,7,6,2,4]=>[5,1,3,6,2,4]=>00000 [3,6,4,7,5,2,1]=>[2,5,3,7,6,1,4]=>[2,5,3,6,1,4]=>00000 [3,6,5,1,2,4,7]=>[5,1,3,2,6,4,7]=>[5,1,3,2,6,4]=>00000 [3,6,5,1,2,7,4]=>[5,1,3,6,7,4,2]=>[5,1,3,6,4,2]=>00000 [3,6,5,1,4,2,7]=>[5,4,3,1,6,2,7]=>[5,4,3,1,6,2]=>00000 [3,6,5,1,4,7,2]=>[5,6,3,1,7,2,4]=>[5,6,3,1,2,4]=>00000 [3,6,5,1,7,2,4]=>[5,6,3,2,7,4,1]=>[5,6,3,2,4,1]=>00000 [3,6,5,1,7,4,2]=>[5,4,3,6,7,2,1]=>[5,4,3,6,2,1]=>00000 [3,6,5,2,1,4,7]=>[2,5,3,1,6,4,7]=>[2,5,3,1,6,4]=>00000 [3,6,5,2,1,7,4]=>[2,5,3,6,7,4,1]=>[2,5,3,6,4,1]=>00000 [3,6,5,2,4,1,7]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>00000 [3,6,5,2,4,7,1]=>[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>00000 [3,6,5,2,7,1,4]=>[7,5,3,1,6,2,4]=>[5,3,1,6,2,4]=>00000 [3,6,5,2,7,4,1]=>[4,7,3,5,6,1,2]=>[4,3,5,6,1,2]=>00000 [3,6,5,4,1,2,7]=>[4,1,3,5,6,2,7]=>[4,1,3,5,6,2]=>00000 [3,6,5,4,1,7,2]=>[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>00000 [3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1]=>00000 [3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1]=>[4,3,5,6,2,1]=>00000 [3,6,5,4,7,1,2]=>[7,1,3,5,6,4,2]=>[1,3,5,6,4,2]=>10000 [3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1]=>[2,3,5,6,4,1]=>00000 [3,6,5,7,1,2,4]=>[7,1,3,2,6,5,4]=>[1,3,2,6,5,4]=>10100 [3,6,5,7,1,4,2]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>00000 [3,6,5,7,2,1,4]=>[2,7,3,1,6,5,4]=>[2,3,1,6,5,4]=>00100 [3,6,5,7,2,4,1]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>00000 [3,6,5,7,4,1,2]=>[4,1,3,7,6,5,2]=>[4,1,3,6,5,2]=>00000 [3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1]=>[2,4,3,6,5,1]=>00000 [3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]=>[1,3,2,4,6,5]=>10110 [3,6,7,1,2,5,4]=>[7,1,3,5,2,6,4]=>[1,3,5,2,6,4]=>10000 [3,6,7,1,4,2,5]=>[7,4,3,1,2,6,5]=>[4,3,1,2,6,5]=>00010 [3,6,7,1,4,5,2]=>[7,5,3,1,4,6,2]=>[5,3,1,4,6,2]=>00000 [3,6,7,1,5,2,4]=>[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>00000 [3,6,7,1,5,4,2]=>[7,4,3,5,1,6,2]=>[4,3,5,1,6,2]=>00000 [3,6,7,2,1,4,5]=>[2,7,3,1,4,6,5]=>[2,3,1,4,6,5]=>00110 [3,6,7,2,1,5,4]=>[2,7,3,5,1,6,4]=>[2,3,5,1,6,4]=>00000 [3,6,7,2,4,1,5]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>00010 [3,6,7,2,4,5,1]=>[5,7,3,2,4,6,1]=>[5,3,2,4,6,1]=>00000 [3,6,7,2,5,1,4]=>[5,7,3,1,2,6,4]=>[5,3,1,2,6,4]=>00000 [3,6,7,2,5,4,1]=>[4,5,3,7,1,6,2]=>[4,5,3,1,6,2]=>00000 [3,6,7,4,1,2,5]=>[4,1,3,7,2,6,5]=>[4,1,3,2,6,5]=>00010 [3,6,7,4,1,5,2]=>[4,7,3,5,2,6,1]=>[4,3,5,2,6,1]=>00000 [3,6,7,4,2,1,5]=>[2,4,3,7,1,6,5]=>[2,4,3,1,6,5]=>00010 [3,6,7,4,2,5,1]=>[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>00000 [3,6,7,4,5,1,2]=>[5,1,3,7,4,6,2]=>[5,1,3,4,6,2]=>00000 [3,6,7,4,5,2,1]=>[2,5,3,7,4,6,1]=>[2,5,3,4,6,1]=>00000 [3,6,7,5,1,2,4]=>[5,1,3,2,7,6,4]=>[5,1,3,2,6,4]=>00000 [3,6,7,5,1,4,2]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>00000 [3,6,7,5,2,1,4]=>[2,5,3,1,7,6,4]=>[2,5,3,1,6,4]=>00000 [3,6,7,5,2,4,1]=>[4,5,3,2,7,6,1]=>[4,5,3,2,6,1]=>00000 [3,6,7,5,4,1,2]=>[4,1,3,5,7,6,2]=>[4,1,3,5,6,2]=>00000 [3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1]=>[2,4,3,5,6,1]=>00000 [3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]=>[1,3,2,4,5,6]=>10111 [3,7,1,2,4,6,5]=>[7,1,3,2,6,4,5]=>[1,3,2,6,4,5]=>10100 [3,7,1,2,5,4,6]=>[7,1,3,5,2,4,6]=>[1,3,5,2,4,6]=>10001 [3,7,1,2,5,6,4]=>[7,1,3,6,2,5,4]=>[1,3,6,2,5,4]=>10000 [3,7,1,2,6,4,5]=>[7,1,3,6,4,2,5]=>[1,3,6,4,2,5]=>10000 [3,7,1,2,6,5,4]=>[7,1,3,5,6,2,4]=>[1,3,5,6,2,4]=>10000 [3,7,1,4,2,5,6]=>[7,4,3,1,2,5,6]=>[4,3,1,2,5,6]=>00011 [3,7,1,4,2,6,5]=>[7,4,3,1,6,2,5]=>[4,3,1,6,2,5]=>00000 [3,7,1,4,5,2,6]=>[7,5,3,1,4,2,6]=>[5,3,1,4,2,6]=>00001 [3,7,1,4,5,6,2]=>[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>00000 [3,7,1,4,6,2,5]=>[7,6,3,1,4,5,2]=>[6,3,1,4,5,2]=>00000 [3,7,1,4,6,5,2]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>00000 [3,7,1,5,2,4,6]=>[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>00001 [3,7,1,5,2,6,4]=>[7,5,3,6,1,2,4]=>[5,3,6,1,2,4]=>00000 [3,7,1,5,4,2,6]=>[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>00001 [3,7,1,5,4,6,2]=>[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>00000 [3,7,1,5,6,2,4]=>[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>00000 [3,7,1,5,6,4,2]=>[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>00000 [3,7,1,6,2,4,5]=>[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>00000 [3,7,1,6,2,5,4]=>[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>00000 [3,7,1,6,4,2,5]=>[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>00000 [3,7,1,6,4,5,2]=>[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>00000 [3,7,1,6,5,2,4]=>[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>00000 [3,7,1,6,5,4,2]=>[7,4,3,5,6,1,2]=>[4,3,5,6,1,2]=>00000 [3,7,2,1,4,5,6]=>[2,7,3,1,4,5,6]=>[2,3,1,4,5,6]=>00111 [3,7,2,1,4,6,5]=>[2,7,3,1,6,4,5]=>[2,3,1,6,4,5]=>00100 [3,7,2,1,5,4,6]=>[2,7,3,5,1,4,6]=>[2,3,5,1,4,6]=>00001 [3,7,2,1,5,6,4]=>[2,7,3,6,1,5,4]=>[2,3,6,1,5,4]=>00000 [3,7,2,1,6,4,5]=>[2,7,3,6,4,1,5]=>[2,3,6,4,1,5]=>00000 [3,7,2,1,6,5,4]=>[2,7,3,5,6,1,4]=>[2,3,5,6,1,4]=>00000 [3,7,2,4,1,5,6]=>[4,7,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [3,7,2,4,1,6,5]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>00000 [3,7,2,4,5,1,6]=>[5,7,3,2,4,1,6]=>[5,3,2,4,1,6]=>00001 [3,7,2,4,5,6,1]=>[6,7,3,2,4,5,1]=>[6,3,2,4,5,1]=>00000 [3,7,2,4,6,1,5]=>[6,7,3,2,1,4,5]=>[6,3,2,1,4,5]=>00000 [3,7,2,4,6,5,1]=>[5,6,3,2,7,1,4]=>[5,6,3,2,1,4]=>00000 [3,7,2,5,1,4,6]=>[5,7,3,1,2,4,6]=>[5,3,1,2,4,6]=>00001 [3,7,2,5,1,6,4]=>[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>00000 [3,7,2,5,4,1,6]=>[4,5,3,7,1,2,6]=>[4,5,3,1,2,6]=>00001 [3,7,2,5,4,6,1]=>[6,7,3,5,2,4,1]=>[6,3,5,2,4,1]=>00000 [3,7,2,5,6,1,4]=>[6,7,3,1,4,2,5]=>[6,3,1,4,2,5]=>00000 [3,7,2,5,6,4,1]=>[4,6,3,7,2,1,5]=>[4,6,3,2,1,5]=>00000 [3,7,2,6,1,4,5]=>[6,7,3,1,2,5,4]=>[6,3,1,2,5,4]=>00000 [3,7,2,6,1,5,4]=>[6,7,3,5,1,2,4]=>[6,3,5,1,2,4]=>00000 [3,7,2,6,4,1,5]=>[4,6,3,7,1,5,2]=>[4,6,3,1,5,2]=>00000 [3,7,2,6,4,5,1]=>[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>00000 [3,7,2,6,5,1,4]=>[5,6,3,1,7,4,2]=>[5,6,3,1,4,2]=>00000 [3,7,2,6,5,4,1]=>[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>00000 [3,7,4,1,2,5,6]=>[4,1,3,7,2,5,6]=>[4,1,3,2,5,6]=>00011 [3,7,4,1,2,6,5]=>[4,1,3,7,6,2,5]=>[4,1,3,6,2,5]=>00000 [3,7,4,1,5,2,6]=>[4,7,3,5,2,1,6]=>[4,3,5,2,1,6]=>00001 [3,7,4,1,5,6,2]=>[4,7,3,6,1,2,5]=>[4,3,6,1,2,5]=>00000 [3,7,4,1,6,2,5]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>00000 [3,7,4,1,6,5,2]=>[4,7,3,5,6,2,1]=>[4,3,5,6,2,1]=>00000 [3,7,4,2,1,5,6]=>[2,4,3,7,1,5,6]=>[2,4,3,1,5,6]=>00011 [3,7,4,2,1,6,5]=>[2,4,3,7,6,1,5]=>[2,4,3,6,1,5]=>00000 [3,7,4,2,5,1,6]=>[5,4,3,7,2,1,6]=>[5,4,3,2,1,6]=>00001 [3,7,4,2,5,6,1]=>[6,4,3,7,2,5,1]=>[6,4,3,2,5,1]=>00000 [3,7,4,2,6,1,5]=>[6,4,3,7,1,2,5]=>[6,4,3,1,2,5]=>00000 [3,7,4,2,6,5,1]=>[5,4,3,6,7,1,2]=>[5,4,3,6,1,2]=>00000 [3,7,4,5,1,2,6]=>[5,1,3,7,4,2,6]=>[5,1,3,4,2,6]=>00001 [3,7,4,5,1,6,2]=>[5,6,3,7,4,1,2]=>[5,6,3,4,1,2]=>00000 [3,7,4,5,2,1,6]=>[2,5,3,7,4,1,6]=>[2,5,3,4,1,6]=>00001 [3,7,4,5,2,6,1]=>[6,5,3,7,4,2,1]=>[6,5,3,4,2,1]=>00000 [3,7,4,5,6,1,2]=>[6,1,3,7,4,5,2]=>[6,1,3,4,5,2]=>00000 [3,7,4,5,6,2,1]=>[2,6,3,7,4,5,1]=>[2,6,3,4,5,1]=>00000 [3,7,4,6,1,2,5]=>[6,1,3,7,2,4,5]=>[6,1,3,2,4,5]=>00000 [3,7,4,6,1,5,2]=>[6,5,3,7,1,4,2]=>[6,5,3,1,4,2]=>00000 [3,7,4,6,2,1,5]=>[2,6,3,7,1,4,5]=>[2,6,3,1,4,5]=>00000 [3,7,4,6,2,5,1]=>[5,6,3,7,2,4,1]=>[5,6,3,2,4,1]=>00000 [3,7,4,6,5,1,2]=>[5,1,3,6,7,2,4]=>[5,1,3,6,2,4]=>00000 [3,7,4,6,5,2,1]=>[2,5,3,6,7,1,4]=>[2,5,3,6,1,4]=>00000 [3,7,5,1,2,4,6]=>[5,1,3,2,7,4,6]=>[5,1,3,2,4,6]=>00001 [3,7,5,1,2,6,4]=>[5,1,3,7,6,4,2]=>[5,1,3,6,4,2]=>00000 [3,7,5,1,4,2,6]=>[5,4,3,1,7,2,6]=>[5,4,3,1,2,6]=>00001 [3,7,5,1,4,6,2]=>[5,7,3,1,6,2,4]=>[5,3,1,6,2,4]=>00000 [3,7,5,1,6,2,4]=>[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>00000 [3,7,5,1,6,4,2]=>[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>00000 [3,7,5,2,1,4,6]=>[2,5,3,1,7,4,6]=>[2,5,3,1,4,6]=>00001 [3,7,5,2,1,6,4]=>[2,5,3,7,6,4,1]=>[2,5,3,6,4,1]=>00000 [3,7,5,2,4,1,6]=>[4,5,3,2,7,1,6]=>[4,5,3,2,1,6]=>00001 [3,7,5,2,4,6,1]=>[6,5,3,2,7,4,1]=>[6,5,3,2,4,1]=>00000 [3,7,5,2,6,1,4]=>[6,5,3,1,7,2,4]=>[6,5,3,1,2,4]=>00000 [3,7,5,2,6,4,1]=>[4,6,3,5,7,1,2]=>[4,6,3,5,1,2]=>00000 [3,7,5,4,1,2,6]=>[4,1,3,5,7,2,6]=>[4,1,3,5,2,6]=>00001 [3,7,5,4,1,6,2]=>[4,5,3,7,6,1,2]=>[4,5,3,6,1,2]=>00000 [3,7,5,4,2,1,6]=>[2,4,3,5,7,1,6]=>[2,4,3,5,1,6]=>00001 [3,7,5,4,2,6,1]=>[6,4,3,5,7,2,1]=>[6,4,3,5,2,1]=>00000 [3,7,5,4,6,1,2]=>[6,1,3,5,7,4,2]=>[6,1,3,5,4,2]=>00000 [3,7,5,4,6,2,1]=>[2,6,3,5,7,4,1]=>[2,6,3,5,4,1]=>00000 [3,7,5,6,1,2,4]=>[6,1,3,2,7,5,4]=>[6,1,3,2,5,4]=>00000 [3,7,5,6,1,4,2]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>00000 [3,7,5,6,2,1,4]=>[2,6,3,1,7,5,4]=>[2,6,3,1,5,4]=>00000 [3,7,5,6,2,4,1]=>[4,6,3,2,7,5,1]=>[4,6,3,2,5,1]=>00000 [3,7,5,6,4,1,2]=>[4,1,3,6,7,5,2]=>[4,1,3,6,5,2]=>00000 [3,7,5,6,4,2,1]=>[2,4,3,6,7,5,1]=>[2,4,3,6,5,1]=>00000 [3,7,6,1,2,4,5]=>[6,1,3,2,4,7,5]=>[6,1,3,2,4,5]=>00000 [3,7,6,1,2,5,4]=>[6,1,3,5,2,7,4]=>[6,1,3,5,2,4]=>00000 [3,7,6,1,4,2,5]=>[6,4,3,1,2,7,5]=>[6,4,3,1,2,5]=>00000 [3,7,6,1,4,5,2]=>[6,5,3,1,4,7,2]=>[6,5,3,1,4,2]=>00000 [3,7,6,1,5,2,4]=>[6,5,3,2,1,7,4]=>[6,5,3,2,1,4]=>00000 [3,7,6,1,5,4,2]=>[6,4,3,5,1,7,2]=>[6,4,3,5,1,2]=>00000 [3,7,6,2,1,4,5]=>[2,6,3,1,4,7,5]=>[2,6,3,1,4,5]=>00000 [3,7,6,2,1,5,4]=>[2,6,3,5,1,7,4]=>[2,6,3,5,1,4]=>00000 [3,7,6,2,4,1,5]=>[4,6,3,2,1,7,5]=>[4,6,3,2,1,5]=>00000 [3,7,6,2,4,5,1]=>[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>00000 [3,7,6,2,5,1,4]=>[5,6,3,1,2,7,4]=>[5,6,3,1,2,4]=>00000 [3,7,6,2,5,4,1]=>[4,5,3,6,1,7,2]=>[4,5,3,6,1,2]=>00000 [3,7,6,4,1,2,5]=>[4,1,3,6,2,7,5]=>[4,1,3,6,2,5]=>00000 [3,7,6,4,1,5,2]=>[4,6,3,5,2,7,1]=>[4,6,3,5,2,1]=>00000 [3,7,6,4,2,1,5]=>[2,4,3,6,1,7,5]=>[2,4,3,6,1,5]=>00000 [3,7,6,4,2,5,1]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,1]=>00000 [3,7,6,4,5,1,2]=>[5,1,3,6,4,7,2]=>[5,1,3,6,4,2]=>00000 [3,7,6,4,5,2,1]=>[2,5,3,6,4,7,1]=>[2,5,3,6,4,1]=>00000 [3,7,6,5,1,2,4]=>[5,1,3,2,6,7,4]=>[5,1,3,2,6,4]=>00000 [3,7,6,5,1,4,2]=>[5,4,3,1,6,7,2]=>[5,4,3,1,6,2]=>00000 [3,7,6,5,2,1,4]=>[2,5,3,1,6,7,4]=>[2,5,3,1,6,4]=>00000 [3,7,6,5,2,4,1]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>00000 [3,7,6,5,4,1,2]=>[4,1,3,5,6,7,2]=>[4,1,3,5,6,2]=>00000 [3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]=>[2,4,3,5,6,1]=>00000 [4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6]=>00011 [4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,6]=>00011 [4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5]=>00010 [4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]=>[4,1,2,3,6,5]=>00010 [4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>[4,1,2,3,5,6]=>00011 [4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5]=>[4,1,2,3,6,5]=>00010 [4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]=>[4,1,5,2,3,6]=>00001 [4,1,2,5,3,7,6]=>[4,1,5,2,3,7,6]=>[4,1,5,2,3,6]=>00001 [4,1,2,5,6,3,7]=>[4,1,6,2,5,3,7]=>[4,1,6,2,5,3]=>00000 [4,1,2,5,6,7,3]=>[4,1,7,2,5,6,3]=>[4,1,2,5,6,3]=>00000 [4,1,2,5,7,3,6]=>[4,1,7,2,5,3,6]=>[4,1,2,5,3,6]=>00001 [4,1,2,5,7,6,3]=>[4,1,6,2,5,7,3]=>[4,1,6,2,5,3]=>00000 [4,1,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[4,1,6,2,3,5]=>00000 [4,1,2,6,3,7,5]=>[4,1,6,2,7,3,5]=>[4,1,6,2,3,5]=>00000 [4,1,2,6,5,3,7]=>[4,1,5,2,6,3,7]=>[4,1,5,2,6,3]=>00000 [4,1,2,6,5,7,3]=>[4,1,7,2,6,5,3]=>[4,1,2,6,5,3]=>00000 [4,1,2,6,7,3,5]=>[4,1,7,2,3,6,5]=>[4,1,2,3,6,5]=>00010 [4,1,2,6,7,5,3]=>[4,1,5,2,7,6,3]=>[4,1,5,2,6,3]=>00000 [4,1,2,7,3,5,6]=>[4,1,7,2,3,5,6]=>[4,1,2,3,5,6]=>00011 [4,1,2,7,3,6,5]=>[4,1,7,2,6,3,5]=>[4,1,2,6,3,5]=>00000 [4,1,2,7,5,3,6]=>[4,1,5,2,7,3,6]=>[4,1,5,2,3,6]=>00001 [4,1,2,7,5,6,3]=>[4,1,6,2,7,5,3]=>[4,1,6,2,5,3]=>00000 [4,1,2,7,6,3,5]=>[4,1,6,2,3,7,5]=>[4,1,6,2,3,5]=>00000 [4,1,2,7,6,5,3]=>[4,1,5,2,6,7,3]=>[4,1,5,2,6,3]=>00000 [4,1,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>00011 [4,1,3,2,5,7,6]=>[4,3,1,2,5,7,6]=>[4,3,1,2,5,6]=>00011 [4,1,3,2,6,5,7]=>[4,3,1,2,6,5,7]=>[4,3,1,2,6,5]=>00010 [4,1,3,2,6,7,5]=>[4,3,1,2,7,6,5]=>[4,3,1,2,6,5]=>00010 [4,1,3,2,7,5,6]=>[4,3,1,2,7,5,6]=>[4,3,1,2,5,6]=>00011 [4,1,3,2,7,6,5]=>[4,3,1,2,6,7,5]=>[4,3,1,2,6,5]=>00010 [4,1,3,5,2,6,7]=>[4,5,1,3,2,6,7]=>[4,5,1,3,2,6]=>00001 [4,1,3,5,2,7,6]=>[4,5,1,3,2,7,6]=>[4,5,1,3,2,6]=>00001 [4,1,3,5,6,2,7]=>[4,6,1,3,5,2,7]=>[4,6,1,3,5,2]=>00000 [4,1,3,5,6,7,2]=>[4,7,1,3,5,6,2]=>[4,1,3,5,6,2]=>00000 [4,1,3,5,7,2,6]=>[4,7,1,3,5,2,6]=>[4,1,3,5,2,6]=>00001 [4,1,3,5,7,6,2]=>[4,6,1,3,5,7,2]=>[4,6,1,3,5,2]=>00000 [4,1,3,6,2,5,7]=>[4,6,1,3,2,5,7]=>[4,6,1,3,2,5]=>00000 [4,1,3,6,2,7,5]=>[4,6,1,3,7,2,5]=>[4,6,1,3,2,5]=>00000 [4,1,3,6,5,2,7]=>[4,5,1,3,6,2,7]=>[4,5,1,3,6,2]=>00000 [4,1,3,6,5,7,2]=>[4,7,1,3,6,5,2]=>[4,1,3,6,5,2]=>00000 [4,1,3,6,7,2,5]=>[4,7,1,3,2,6,5]=>[4,1,3,2,6,5]=>00010 [4,1,3,6,7,5,2]=>[4,5,1,3,7,6,2]=>[4,5,1,3,6,2]=>00000 [4,1,3,7,2,5,6]=>[4,7,1,3,2,5,6]=>[4,1,3,2,5,6]=>00011 [4,1,3,7,2,6,5]=>[4,7,1,3,6,2,5]=>[4,1,3,6,2,5]=>00000 [4,1,3,7,5,2,6]=>[4,5,1,3,7,2,6]=>[4,5,1,3,2,6]=>00001 [4,1,3,7,5,6,2]=>[4,6,1,3,7,5,2]=>[4,6,1,3,5,2]=>00000 [4,1,3,7,6,2,5]=>[4,6,1,3,2,7,5]=>[4,6,1,3,2,5]=>00000 [4,1,3,7,6,5,2]=>[4,5,1,3,6,7,2]=>[4,5,1,3,6,2]=>00000 [4,1,5,2,3,6,7]=>[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>00001 [4,1,5,2,3,7,6]=>[4,5,2,1,3,7,6]=>[4,5,2,1,3,6]=>00001 [4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>00000 [4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3]=>[4,5,1,2,6,3]=>00000 [4,1,5,2,7,3,6]=>[4,5,7,1,2,3,6]=>[4,5,1,2,3,6]=>00001 [4,1,5,2,7,6,3]=>[4,5,6,1,2,7,3]=>[4,5,6,1,2,3]=>00000 [4,1,5,3,2,6,7]=>[4,3,5,1,2,6,7]=>[4,3,5,1,2,6]=>00001 [4,1,5,3,2,7,6]=>[4,3,5,1,2,7,6]=>[4,3,5,1,2,6]=>00001 [4,1,5,3,6,2,7]=>[4,6,5,1,3,2,7]=>[4,6,5,1,3,2]=>00000 [4,1,5,3,6,7,2]=>[4,7,5,1,3,6,2]=>[4,5,1,3,6,2]=>00000 [4,1,5,3,7,2,6]=>[4,7,5,1,3,2,6]=>[4,5,1,3,2,6]=>00001 [4,1,5,3,7,6,2]=>[4,6,5,1,3,7,2]=>[4,6,5,1,3,2]=>00000 [4,1,5,6,2,3,7]=>[4,6,2,1,5,3,7]=>[4,6,2,1,5,3]=>00000 [4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3]=>[4,6,1,5,2,3]=>00000 [4,1,5,6,3,2,7]=>[4,3,6,1,5,2,7]=>[4,3,6,1,5,2]=>00000 [4,1,5,6,3,7,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>00000 [4,1,5,6,7,2,3]=>[4,7,2,1,5,6,3]=>[4,2,1,5,6,3]=>00000 [4,1,5,6,7,3,2]=>[4,3,7,1,5,6,2]=>[4,3,1,5,6,2]=>00000 [4,1,5,7,2,3,6]=>[4,7,2,1,5,3,6]=>[4,2,1,5,3,6]=>00001 [4,1,5,7,2,6,3]=>[4,7,6,1,5,2,3]=>[4,6,1,5,2,3]=>00000 [4,1,5,7,3,2,6]=>[4,3,7,1,5,2,6]=>[4,3,1,5,2,6]=>00001 [4,1,5,7,3,6,2]=>[4,6,7,1,5,3,2]=>[4,6,1,5,3,2]=>00000 [4,1,5,7,6,2,3]=>[4,6,2,1,5,7,3]=>[4,6,2,1,5,3]=>00000 [4,1,5,7,6,3,2]=>[4,3,6,1,5,7,2]=>[4,3,6,1,5,2]=>00000 [4,1,6,2,3,5,7]=>[4,6,2,1,3,5,7]=>[4,6,2,1,3,5]=>00000 [4,1,6,2,3,7,5]=>[4,6,2,1,7,3,5]=>[4,6,2,1,3,5]=>00000 [4,1,6,2,5,3,7]=>[4,6,5,1,2,3,7]=>[4,6,5,1,2,3]=>00000 [4,1,6,2,5,7,3]=>[4,6,7,1,2,5,3]=>[4,6,1,2,5,3]=>00000 [4,1,6,2,7,3,5]=>[4,6,7,1,3,2,5]=>[4,6,1,3,2,5]=>00000 [4,1,6,2,7,5,3]=>[4,6,5,1,7,2,3]=>[4,6,5,1,2,3]=>00000 [4,1,6,3,2,5,7]=>[4,3,6,1,2,5,7]=>[4,3,6,1,2,5]=>00000 [4,1,6,3,2,7,5]=>[4,3,6,1,7,2,5]=>[4,3,6,1,2,5]=>00000 [4,1,6,3,5,2,7]=>[4,5,6,1,3,2,7]=>[4,5,6,1,3,2]=>00000 [4,1,6,3,5,7,2]=>[4,7,6,1,3,5,2]=>[4,6,1,3,5,2]=>00000 [4,1,6,3,7,2,5]=>[4,7,6,1,2,3,5]=>[4,6,1,2,3,5]=>00000 [4,1,6,3,7,5,2]=>[4,5,7,1,6,2,3]=>[4,5,1,6,2,3]=>00000 [4,1,6,5,2,3,7]=>[4,5,2,1,6,3,7]=>[4,5,2,1,6,3]=>00000 [4,1,6,5,2,7,3]=>[4,5,6,1,7,3,2]=>[4,5,6,1,3,2]=>00000 [4,1,6,5,3,2,7]=>[4,3,5,1,6,2,7]=>[4,3,5,1,6,2]=>00000 [4,1,6,5,3,7,2]=>[4,7,5,1,6,3,2]=>[4,5,1,6,3,2]=>00000 [4,1,6,5,7,2,3]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>00000 [4,1,6,5,7,3,2]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>00000 [4,1,6,7,2,3,5]=>[4,7,2,1,3,6,5]=>[4,2,1,3,6,5]=>00010 [4,1,6,7,2,5,3]=>[4,7,5,1,2,6,3]=>[4,5,1,2,6,3]=>00000 [4,1,6,7,3,2,5]=>[4,3,7,1,2,6,5]=>[4,3,1,2,6,5]=>00010 [4,1,6,7,3,5,2]=>[4,5,7,1,3,6,2]=>[4,5,1,3,6,2]=>00000 [4,1,6,7,5,2,3]=>[4,5,2,1,7,6,3]=>[4,5,2,1,6,3]=>00000 [4,1,6,7,5,3,2]=>[4,3,5,1,7,6,2]=>[4,3,5,1,6,2]=>00000 [4,1,7,2,3,5,6]=>[4,7,2,1,3,5,6]=>[4,2,1,3,5,6]=>00011 [4,1,7,2,3,6,5]=>[4,7,2,1,6,3,5]=>[4,2,1,6,3,5]=>00000 [4,1,7,2,5,3,6]=>[4,7,5,1,2,3,6]=>[4,5,1,2,3,6]=>00001 [4,1,7,2,5,6,3]=>[4,7,6,1,2,5,3]=>[4,6,1,2,5,3]=>00000 [4,1,7,2,6,3,5]=>[4,7,6,1,3,2,5]=>[4,6,1,3,2,5]=>00000 [4,1,7,2,6,5,3]=>[4,7,5,1,6,2,3]=>[4,5,1,6,2,3]=>00000 [4,1,7,3,2,5,6]=>[4,3,7,1,2,5,6]=>[4,3,1,2,5,6]=>00011 [4,1,7,3,2,6,5]=>[4,3,7,1,6,2,5]=>[4,3,1,6,2,5]=>00000 [4,1,7,3,5,2,6]=>[4,5,7,1,3,2,6]=>[4,5,1,3,2,6]=>00001 [4,1,7,3,5,6,2]=>[4,6,7,1,3,5,2]=>[4,6,1,3,5,2]=>00000 [4,1,7,3,6,2,5]=>[4,6,7,1,2,3,5]=>[4,6,1,2,3,5]=>00000 [4,1,7,3,6,5,2]=>[4,5,6,1,7,2,3]=>[4,5,6,1,2,3]=>00000 [4,1,7,5,2,3,6]=>[4,5,2,1,7,3,6]=>[4,5,2,1,3,6]=>00001 [4,1,7,5,2,6,3]=>[4,5,7,1,6,3,2]=>[4,5,1,6,3,2]=>00000 [4,1,7,5,3,2,6]=>[4,3,5,1,7,2,6]=>[4,3,5,1,2,6]=>00001 [4,1,7,5,3,6,2]=>[4,6,5,1,7,3,2]=>[4,6,5,1,3,2]=>00000 [4,1,7,5,6,2,3]=>[4,6,2,1,7,5,3]=>[4,6,2,1,5,3]=>00000 [4,1,7,5,6,3,2]=>[4,3,6,1,7,5,2]=>[4,3,6,1,5,2]=>00000 [4,1,7,6,2,3,5]=>[4,6,2,1,3,7,5]=>[4,6,2,1,3,5]=>00000 [4,1,7,6,2,5,3]=>[4,6,5,1,2,7,3]=>[4,6,5,1,2,3]=>00000 [4,1,7,6,3,2,5]=>[4,3,6,1,2,7,5]=>[4,3,6,1,2,5]=>00000 [4,1,7,6,3,5,2]=>[4,5,6,1,3,7,2]=>[4,5,6,1,3,2]=>00000 [4,1,7,6,5,2,3]=>[4,5,2,1,6,7,3]=>[4,5,2,1,6,3]=>00000 [4,1,7,6,5,3,2]=>[4,3,5,1,6,7,2]=>[4,3,5,1,6,2]=>00000 [4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[2,4,1,3,5,6]=>00011 [4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]=>[2,4,1,3,5,6]=>00011 [4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[2,4,1,3,6,5]=>00010 [4,2,1,3,6,7,5]=>[2,4,1,3,7,6,5]=>[2,4,1,3,6,5]=>00010 [4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6]=>[2,4,1,3,5,6]=>00011 [4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5]=>[2,4,1,3,6,5]=>00010 [4,2,1,5,3,6,7]=>[2,4,5,1,3,6,7]=>[2,4,5,1,3,6]=>00001 [4,2,1,5,3,7,6]=>[2,4,5,1,3,7,6]=>[2,4,5,1,3,6]=>00001 [4,2,1,5,6,3,7]=>[2,4,6,1,5,3,7]=>[2,4,6,1,5,3]=>00000 [4,2,1,5,6,7,3]=>[2,4,7,1,5,6,3]=>[2,4,1,5,6,3]=>00000 [4,2,1,5,7,3,6]=>[2,4,7,1,5,3,6]=>[2,4,1,5,3,6]=>00001 [4,2,1,5,7,6,3]=>[2,4,6,1,5,7,3]=>[2,4,6,1,5,3]=>00000 [4,2,1,6,3,5,7]=>[2,4,6,1,3,5,7]=>[2,4,6,1,3,5]=>00000 [4,2,1,6,3,7,5]=>[2,4,6,1,7,3,5]=>[2,4,6,1,3,5]=>00000 [4,2,1,6,5,3,7]=>[2,4,5,1,6,3,7]=>[2,4,5,1,6,3]=>00000 [4,2,1,6,5,7,3]=>[2,4,7,1,6,5,3]=>[2,4,1,6,5,3]=>00000 [4,2,1,6,7,3,5]=>[2,4,7,1,3,6,5]=>[2,4,1,3,6,5]=>00010 [4,2,1,6,7,5,3]=>[2,4,5,1,7,6,3]=>[2,4,5,1,6,3]=>00000 [4,2,1,7,3,5,6]=>[2,4,7,1,3,5,6]=>[2,4,1,3,5,6]=>00011 [4,2,1,7,3,6,5]=>[2,4,7,1,6,3,5]=>[2,4,1,6,3,5]=>00000 [4,2,1,7,5,3,6]=>[2,4,5,1,7,3,6]=>[2,4,5,1,3,6]=>00001 [4,2,1,7,5,6,3]=>[2,4,6,1,7,5,3]=>[2,4,6,1,5,3]=>00000 [4,2,1,7,6,3,5]=>[2,4,6,1,3,7,5]=>[2,4,6,1,3,5]=>00000 [4,2,1,7,6,5,3]=>[2,4,5,1,6,7,3]=>[2,4,5,1,6,3]=>00000 [4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6]=>00011 [4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6]=>[3,4,2,1,5,6]=>00011 [4,2,3,1,6,5,7]=>[3,4,2,1,6,5,7]=>[3,4,2,1,6,5]=>00010 [4,2,3,1,6,7,5]=>[3,4,2,1,7,6,5]=>[3,4,2,1,6,5]=>00010 [4,2,3,1,7,5,6]=>[3,4,2,1,7,5,6]=>[3,4,2,1,5,6]=>00011 [4,2,3,1,7,6,5]=>[3,4,2,1,6,7,5]=>[3,4,2,1,6,5]=>00010 [4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]=>[5,4,2,3,1,6]=>00001 [4,2,3,5,1,7,6]=>[5,4,2,3,1,7,6]=>[5,4,2,3,1,6]=>00001 [4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]=>[6,4,2,3,5,1]=>00000 [4,2,3,5,6,7,1]=>[7,4,2,3,5,6,1]=>[4,2,3,5,6,1]=>00000 [4,2,3,5,7,1,6]=>[7,4,2,3,5,1,6]=>[4,2,3,5,1,6]=>00001 [4,2,3,5,7,6,1]=>[6,4,2,3,5,7,1]=>[6,4,2,3,5,1]=>00000 [4,2,3,6,1,5,7]=>[6,4,2,3,1,5,7]=>[6,4,2,3,1,5]=>00000 [4,2,3,6,1,7,5]=>[6,4,2,3,7,1,5]=>[6,4,2,3,1,5]=>00000 [4,2,3,6,5,1,7]=>[5,4,2,3,6,1,7]=>[5,4,2,3,6,1]=>00000 [4,2,3,6,5,7,1]=>[7,4,2,3,6,5,1]=>[4,2,3,6,5,1]=>00000 [4,2,3,6,7,1,5]=>[7,4,2,3,1,6,5]=>[4,2,3,1,6,5]=>00010 [4,2,3,6,7,5,1]=>[5,4,2,3,7,6,1]=>[5,4,2,3,6,1]=>00000 [4,2,3,7,1,5,6]=>[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>00011 [4,2,3,7,1,6,5]=>[7,4,2,3,6,1,5]=>[4,2,3,6,1,5]=>00000 [4,2,3,7,5,1,6]=>[5,4,2,3,7,1,6]=>[5,4,2,3,1,6]=>00001 [4,2,3,7,5,6,1]=>[6,4,2,3,7,5,1]=>[6,4,2,3,5,1]=>00000 [4,2,3,7,6,1,5]=>[6,4,2,3,1,7,5]=>[6,4,2,3,1,5]=>00000 [4,2,3,7,6,5,1]=>[5,4,2,3,6,7,1]=>[5,4,2,3,6,1]=>00000 [4,2,5,1,3,6,7]=>[5,4,1,2,3,6,7]=>[5,4,1,2,3,6]=>00001 [4,2,5,1,3,7,6]=>[5,4,1,2,3,7,6]=>[5,4,1,2,3,6]=>00001 [4,2,5,1,6,3,7]=>[5,4,6,2,1,3,7]=>[5,4,6,2,1,3]=>00000 [4,2,5,1,6,7,3]=>[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>00000 [4,2,5,1,7,3,6]=>[5,4,7,2,1,3,6]=>[5,4,2,1,3,6]=>00001 [4,2,5,1,7,6,3]=>[5,4,6,2,1,7,3]=>[5,4,6,2,1,3]=>00000 [4,2,5,3,1,6,7]=>[3,5,4,1,2,6,7]=>[3,5,4,1,2,6]=>00001 [4,2,5,3,1,7,6]=>[3,5,4,1,2,7,6]=>[3,5,4,1,2,6]=>00001 [4,2,5,3,6,1,7]=>[6,4,5,2,3,1,7]=>[6,4,5,2,3,1]=>00000 [4,2,5,3,6,7,1]=>[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>00000 [4,2,5,3,7,1,6]=>[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>00001 [4,2,5,3,7,6,1]=>[6,4,5,2,3,7,1]=>[6,4,5,2,3,1]=>00000 [4,2,5,6,1,3,7]=>[6,4,1,2,5,3,7]=>[6,4,1,2,5,3]=>00000 [4,2,5,6,1,7,3]=>[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>00000 [4,2,5,6,3,1,7]=>[3,6,4,1,5,2,7]=>[3,6,4,1,5,2]=>00000 [4,2,5,6,3,7,1]=>[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>00000 [4,2,5,6,7,1,3]=>[7,4,1,2,5,6,3]=>[4,1,2,5,6,3]=>00000 [4,2,5,6,7,3,1]=>[3,7,4,1,5,6,2]=>[3,4,1,5,6,2]=>00000 [4,2,5,7,1,3,6]=>[7,4,1,2,5,3,6]=>[4,1,2,5,3,6]=>00001 [4,2,5,7,1,6,3]=>[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>00000 [4,2,5,7,3,1,6]=>[3,7,4,1,5,2,6]=>[3,4,1,5,2,6]=>00001 [4,2,5,7,3,6,1]=>[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>00000 [4,2,5,7,6,1,3]=>[6,4,1,2,5,7,3]=>[6,4,1,2,5,3]=>00000 [4,2,5,7,6,3,1]=>[3,6,4,1,5,7,2]=>[3,6,4,1,5,2]=>00000 [4,2,6,1,3,5,7]=>[6,4,1,2,3,5,7]=>[6,4,1,2,3,5]=>00000 [4,2,6,1,3,7,5]=>[6,4,1,2,7,3,5]=>[6,4,1,2,3,5]=>00000 [4,2,6,1,5,3,7]=>[6,4,5,2,1,3,7]=>[6,4,5,2,1,3]=>00000 [4,2,6,1,5,7,3]=>[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>00000 [4,2,6,1,7,3,5]=>[6,4,7,2,3,1,5]=>[6,4,2,3,1,5]=>00000 [4,2,6,1,7,5,3]=>[6,4,5,2,7,1,3]=>[6,4,5,2,1,3]=>00000 [4,2,6,3,1,5,7]=>[3,6,4,1,2,5,7]=>[3,6,4,1,2,5]=>00000 [4,2,6,3,1,7,5]=>[3,6,4,1,7,2,5]=>[3,6,4,1,2,5]=>00000 [4,2,6,3,5,1,7]=>[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>00000 [4,2,6,3,5,7,1]=>[7,4,6,2,3,5,1]=>[4,6,2,3,5,1]=>00000 [4,2,6,3,7,1,5]=>[7,4,6,2,1,3,5]=>[4,6,2,1,3,5]=>00000 [4,2,6,3,7,5,1]=>[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>00000 [4,2,6,5,1,3,7]=>[5,4,1,2,6,3,7]=>[5,4,1,2,6,3]=>00000 [4,2,6,5,1,7,3]=>[5,4,6,2,7,3,1]=>[5,4,6,2,3,1]=>00000 [4,2,6,5,3,1,7]=>[3,5,4,1,6,2,7]=>[3,5,4,1,6,2]=>00000 [4,2,6,5,3,7,1]=>[7,4,5,2,6,3,1]=>[4,5,2,6,3,1]=>00000 [4,2,6,5,7,1,3]=>[7,4,1,2,6,5,3]=>[4,1,2,6,5,3]=>00000 [4,2,6,5,7,3,1]=>[3,7,4,1,6,5,2]=>[3,4,1,6,5,2]=>00000 [4,2,6,7,1,3,5]=>[7,4,1,2,3,6,5]=>[4,1,2,3,6,5]=>00010 [4,2,6,7,1,5,3]=>[7,4,5,2,1,6,3]=>[4,5,2,1,6,3]=>00000 [4,2,6,7,3,1,5]=>[3,7,4,1,2,6,5]=>[3,4,1,2,6,5]=>00010 [4,2,6,7,3,5,1]=>[5,4,7,2,3,6,1]=>[5,4,2,3,6,1]=>00000 [4,2,6,7,5,1,3]=>[5,4,1,2,7,6,3]=>[5,4,1,2,6,3]=>00000 [4,2,6,7,5,3,1]=>[3,5,4,1,7,6,2]=>[3,5,4,1,6,2]=>00000 [4,2,7,1,3,5,6]=>[7,4,1,2,3,5,6]=>[4,1,2,3,5,6]=>00011 [4,2,7,1,3,6,5]=>[7,4,1,2,6,3,5]=>[4,1,2,6,3,5]=>00000 [4,2,7,1,5,3,6]=>[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>00001 [4,2,7,1,5,6,3]=>[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>00000 [4,2,7,1,6,3,5]=>[7,4,6,2,3,1,5]=>[4,6,2,3,1,5]=>00000 [4,2,7,1,6,5,3]=>[7,4,5,2,6,1,3]=>[4,5,2,6,1,3]=>00000 [4,2,7,3,1,5,6]=>[3,7,4,1,2,5,6]=>[3,4,1,2,5,6]=>00011 [4,2,7,3,1,6,5]=>[3,7,4,1,6,2,5]=>[3,4,1,6,2,5]=>00000 [4,2,7,3,5,1,6]=>[5,4,7,2,3,1,6]=>[5,4,2,3,1,6]=>00001 [4,2,7,3,5,6,1]=>[6,4,7,2,3,5,1]=>[6,4,2,3,5,1]=>00000 [4,2,7,3,6,1,5]=>[6,4,7,2,1,3,5]=>[6,4,2,1,3,5]=>00000 [4,2,7,3,6,5,1]=>[5,4,6,2,7,1,3]=>[5,4,6,2,1,3]=>00000 [4,2,7,5,1,3,6]=>[5,4,1,2,7,3,6]=>[5,4,1,2,3,6]=>00001 [4,2,7,5,1,6,3]=>[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>00000 [4,2,7,5,3,1,6]=>[3,5,4,1,7,2,6]=>[3,5,4,1,2,6]=>00001 [4,2,7,5,3,6,1]=>[6,4,5,2,7,3,1]=>[6,4,5,2,3,1]=>00000 [4,2,7,5,6,1,3]=>[6,4,1,2,7,5,3]=>[6,4,1,2,5,3]=>00000 [4,2,7,5,6,3,1]=>[3,6,4,1,7,5,2]=>[3,6,4,1,5,2]=>00000 [4,2,7,6,1,3,5]=>[6,4,1,2,3,7,5]=>[6,4,1,2,3,5]=>00000 [4,2,7,6,1,5,3]=>[6,4,5,2,1,7,3]=>[6,4,5,2,1,3]=>00000 [4,2,7,6,3,1,5]=>[3,6,4,1,2,7,5]=>[3,6,4,1,2,5]=>00000 [4,2,7,6,3,5,1]=>[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>00000 [4,2,7,6,5,1,3]=>[5,4,1,2,6,7,3]=>[5,4,1,2,6,3]=>00000 [4,2,7,6,5,3,1]=>[3,5,4,1,6,7,2]=>[3,5,4,1,6,2]=>00000 [4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[3,1,4,2,5,6]=>00011 [4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6]=>[3,1,4,2,5,6]=>00011 [4,3,1,2,6,5,7]=>[3,1,4,2,6,5,7]=>[3,1,4,2,6,5]=>00010 [4,3,1,2,6,7,5]=>[3,1,4,2,7,6,5]=>[3,1,4,2,6,5]=>00010 [4,3,1,2,7,5,6]=>[3,1,4,2,7,5,6]=>[3,1,4,2,5,6]=>00011 [4,3,1,2,7,6,5]=>[3,1,4,2,6,7,5]=>[3,1,4,2,6,5]=>00010 [4,3,1,5,2,6,7]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6]=>00001 [4,3,1,5,2,7,6]=>[3,4,5,2,1,7,6]=>[3,4,5,2,1,6]=>00001 [4,3,1,5,6,2,7]=>[3,4,6,2,5,1,7]=>[3,4,6,2,5,1]=>00000 [4,3,1,5,6,7,2]=>[3,4,7,2,5,6,1]=>[3,4,2,5,6,1]=>00000 [4,3,1,5,7,2,6]=>[3,4,7,2,5,1,6]=>[3,4,2,5,1,6]=>00001 [4,3,1,5,7,6,2]=>[3,4,6,2,5,7,1]=>[3,4,6,2,5,1]=>00000 [4,3,1,6,2,5,7]=>[3,4,6,2,1,5,7]=>[3,4,6,2,1,5]=>00000 [4,3,1,6,2,7,5]=>[3,4,6,2,7,1,5]=>[3,4,6,2,1,5]=>00000 [4,3,1,6,5,2,7]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1]=>00000 [4,3,1,6,5,7,2]=>[3,4,7,2,6,5,1]=>[3,4,2,6,5,1]=>00000 [4,3,1,6,7,2,5]=>[3,4,7,2,1,6,5]=>[3,4,2,1,6,5]=>00010 [4,3,1,6,7,5,2]=>[3,4,5,2,7,6,1]=>[3,4,5,2,6,1]=>00000 [4,3,1,7,2,5,6]=>[3,4,7,2,1,5,6]=>[3,4,2,1,5,6]=>00011 [4,3,1,7,2,6,5]=>[3,4,7,2,6,1,5]=>[3,4,2,6,1,5]=>00000 [4,3,1,7,5,2,6]=>[3,4,5,2,7,1,6]=>[3,4,5,2,1,6]=>00001 [4,3,1,7,5,6,2]=>[3,4,6,2,7,5,1]=>[3,4,6,2,5,1]=>00000 [4,3,1,7,6,2,5]=>[3,4,6,2,1,7,5]=>[3,4,6,2,1,5]=>00000 [4,3,1,7,6,5,2]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,1]=>00000 [4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6]=>00011 [4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]=>[2,3,4,1,5,6]=>00011 [4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]=>[2,3,4,1,6,5]=>00010 [4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]=>[2,3,4,1,6,5]=>00010 [4,3,2,1,7,5,6]=>[2,3,4,1,7,5,6]=>[2,3,4,1,5,6]=>00011 [4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]=>[2,3,4,1,6,5]=>00010 [4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>00001 [4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]=>[5,3,4,2,1,6]=>00001 [4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]=>[6,3,4,2,5,1]=>00000 [4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]=>[3,4,2,5,6,1]=>00000 [4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6]=>[3,4,2,5,1,6]=>00001 [4,3,2,5,7,6,1]=>[6,3,4,2,5,7,1]=>[6,3,4,2,5,1]=>00000 [4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7]=>[6,3,4,2,1,5]=>00000 [4,3,2,6,1,7,5]=>[6,3,4,2,7,1,5]=>[6,3,4,2,1,5]=>00000 [4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>00000 [4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1]=>[3,4,2,6,5,1]=>00000 [4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5]=>[3,4,2,1,6,5]=>00010 [4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1]=>[5,3,4,2,6,1]=>00000 [4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6]=>[3,4,2,1,5,6]=>00011 [4,3,2,7,1,6,5]=>[7,3,4,2,6,1,5]=>[3,4,2,6,1,5]=>00000 [4,3,2,7,5,1,6]=>[5,3,4,2,7,1,6]=>[5,3,4,2,1,6]=>00001 [4,3,2,7,5,6,1]=>[6,3,4,2,7,5,1]=>[6,3,4,2,5,1]=>00000 [4,3,2,7,6,1,5]=>[6,3,4,2,1,7,5]=>[6,3,4,2,1,5]=>00000 [4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>00000 [4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]=>[5,1,4,3,2,6]=>00001 [4,3,5,1,2,7,6]=>[5,1,4,3,2,7,6]=>[5,1,4,3,2,6]=>00001 [4,3,5,1,6,2,7]=>[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>00000 [4,3,5,1,6,7,2]=>[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>00000 [4,3,5,1,7,2,6]=>[5,7,4,3,1,2,6]=>[5,4,3,1,2,6]=>00001 [4,3,5,1,7,6,2]=>[5,6,4,3,1,7,2]=>[5,6,4,3,1,2]=>00000 [4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]=>[2,5,4,3,1,6]=>00001 [4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]=>[2,5,4,3,1,6]=>00001 [4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1]=>00000 [4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>00000 [4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [4,3,5,2,7,6,1]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,1]=>00000 [4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]=>[6,1,4,3,5,2]=>00000 [4,3,5,6,1,7,2]=>[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>00000 [4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]=>[2,6,4,3,5,1]=>00000 [4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>00000 [4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2]=>[1,4,3,5,6,2]=>10000 [4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]=>[2,4,3,5,6,1]=>00000 [4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6]=>[1,4,3,5,2,6]=>10001 [4,3,5,7,1,6,2]=>[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>00000 [4,3,5,7,2,1,6]=>[2,7,4,3,5,1,6]=>[2,4,3,5,1,6]=>00001 [4,3,5,7,2,6,1]=>[6,7,4,3,5,2,1]=>[6,4,3,5,2,1]=>00000 [4,3,5,7,6,1,2]=>[6,1,4,3,5,7,2]=>[6,1,4,3,5,2]=>00000 [4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1]=>[2,6,4,3,5,1]=>00000 [4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7]=>[6,1,4,3,2,5]=>00000 [4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]=>[6,1,4,3,2,5]=>00000 [4,3,6,1,5,2,7]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,2]=>00000 [4,3,6,1,5,7,2]=>[6,7,4,3,1,5,2]=>[6,4,3,1,5,2]=>00000 [4,3,6,1,7,2,5]=>[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>00000 [4,3,6,1,7,5,2]=>[6,5,4,3,7,1,2]=>[6,5,4,3,1,2]=>00000 [4,3,6,2,1,5,7]=>[2,6,4,3,1,5,7]=>[2,6,4,3,1,5]=>00000 [4,3,6,2,1,7,5]=>[2,6,4,3,7,1,5]=>[2,6,4,3,1,5]=>00000 [4,3,6,2,5,1,7]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>00000 [4,3,6,2,5,7,1]=>[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>00000 [4,3,6,2,7,1,5]=>[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>00000 [4,3,6,2,7,5,1]=>[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>00000 [4,3,6,5,1,2,7]=>[5,1,4,3,6,2,7]=>[5,1,4,3,6,2]=>00000 [4,3,6,5,1,7,2]=>[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>00000 [4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7]=>[2,5,4,3,6,1]=>00000 [4,3,6,5,2,7,1]=>[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>00000 [4,3,6,5,7,1,2]=>[7,1,4,3,6,5,2]=>[1,4,3,6,5,2]=>10000 [4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1]=>[2,4,3,6,5,1]=>00000 [4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5]=>[1,4,3,2,6,5]=>10010 [4,3,6,7,1,5,2]=>[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>00000 [4,3,6,7,2,1,5]=>[2,7,4,3,1,6,5]=>[2,4,3,1,6,5]=>00010 [4,3,6,7,2,5,1]=>[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>00000 [4,3,6,7,5,1,2]=>[5,1,4,3,7,6,2]=>[5,1,4,3,6,2]=>00000 [4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1]=>[2,5,4,3,6,1]=>00000 [4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6]=>[1,4,3,2,5,6]=>10011 [4,3,7,1,2,6,5]=>[7,1,4,3,6,2,5]=>[1,4,3,6,2,5]=>10000 [4,3,7,1,5,2,6]=>[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>00001 [4,3,7,1,5,6,2]=>[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>00000 [4,3,7,1,6,2,5]=>[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>00000 [4,3,7,1,6,5,2]=>[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>00000 [4,3,7,2,1,5,6]=>[2,7,4,3,1,5,6]=>[2,4,3,1,5,6]=>00011 [4,3,7,2,1,6,5]=>[2,7,4,3,6,1,5]=>[2,4,3,6,1,5]=>00000 [4,3,7,2,5,1,6]=>[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [4,3,7,2,5,6,1]=>[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>00000 [4,3,7,2,6,1,5]=>[6,7,4,3,1,2,5]=>[6,4,3,1,2,5]=>00000 [4,3,7,2,6,5,1]=>[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>00000 [4,3,7,5,1,2,6]=>[5,1,4,3,7,2,6]=>[5,1,4,3,2,6]=>00001 [4,3,7,5,1,6,2]=>[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>00000 [4,3,7,5,2,1,6]=>[2,5,4,3,7,1,6]=>[2,5,4,3,1,6]=>00001 [4,3,7,5,2,6,1]=>[6,5,4,3,7,2,1]=>[6,5,4,3,2,1]=>00000 [4,3,7,5,6,1,2]=>[6,1,4,3,7,5,2]=>[6,1,4,3,5,2]=>00000 [4,3,7,5,6,2,1]=>[2,6,4,3,7,5,1]=>[2,6,4,3,5,1]=>00000 [4,3,7,6,1,2,5]=>[6,1,4,3,2,7,5]=>[6,1,4,3,2,5]=>00000 [4,3,7,6,1,5,2]=>[6,5,4,3,1,7,2]=>[6,5,4,3,1,2]=>00000 [4,3,7,6,2,1,5]=>[2,6,4,3,1,7,5]=>[2,6,4,3,1,5]=>00000 [4,3,7,6,2,5,1]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>00000 [4,3,7,6,5,1,2]=>[5,1,4,3,6,7,2]=>[5,1,4,3,6,2]=>00000 [4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1]=>[2,5,4,3,6,1]=>00000 [4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]=>[5,1,2,4,3,6]=>00001 [4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]=>[5,1,2,4,3,6]=>00001 [4,5,1,2,6,3,7]=>[5,1,6,4,2,3,7]=>[5,1,6,4,2,3]=>00000 [4,5,1,2,6,7,3]=>[5,1,7,4,2,6,3]=>[5,1,4,2,6,3]=>00000 [4,5,1,2,7,3,6]=>[5,1,7,4,2,3,6]=>[5,1,4,2,3,6]=>00001 [4,5,1,2,7,6,3]=>[5,1,6,4,2,7,3]=>[5,1,6,4,2,3]=>00000 [4,5,1,3,2,6,7]=>[5,3,1,4,2,6,7]=>[5,3,1,4,2,6]=>00001 [4,5,1,3,2,7,6]=>[5,3,1,4,2,7,6]=>[5,3,1,4,2,6]=>00001 [4,5,1,3,6,2,7]=>[5,6,1,4,3,2,7]=>[5,6,1,4,3,2]=>00000 [4,5,1,3,6,7,2]=>[5,7,1,4,3,6,2]=>[5,1,4,3,6,2]=>00000 [4,5,1,3,7,2,6]=>[5,7,1,4,3,2,6]=>[5,1,4,3,2,6]=>00001 [4,5,1,3,7,6,2]=>[5,6,1,4,3,7,2]=>[5,6,1,4,3,2]=>00000 [4,5,1,6,2,3,7]=>[5,6,2,4,1,3,7]=>[5,6,2,4,1,3]=>00000 [4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>00000 [4,5,1,6,3,2,7]=>[5,3,6,4,1,2,7]=>[5,3,6,4,1,2]=>00000 [4,5,1,6,3,7,2]=>[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>00000 [4,5,1,6,7,2,3]=>[5,7,2,4,1,6,3]=>[5,2,4,1,6,3]=>00000 [4,5,1,6,7,3,2]=>[5,3,7,4,1,6,2]=>[5,3,4,1,6,2]=>00000 [4,5,1,7,2,3,6]=>[5,7,2,4,1,3,6]=>[5,2,4,1,3,6]=>00001 [4,5,1,7,2,6,3]=>[5,7,6,4,1,2,3]=>[5,6,4,1,2,3]=>00000 [4,5,1,7,3,2,6]=>[5,3,7,4,1,2,6]=>[5,3,4,1,2,6]=>00001 [4,5,1,7,3,6,2]=>[5,6,7,4,1,3,2]=>[5,6,4,1,3,2]=>00000 [4,5,1,7,6,2,3]=>[5,6,2,4,1,7,3]=>[5,6,2,4,1,3]=>00000 [4,5,1,7,6,3,2]=>[5,3,6,4,1,7,2]=>[5,3,6,4,1,2]=>00000 [4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]=>[2,5,1,4,3,6]=>00001 [4,5,2,1,3,7,6]=>[2,5,1,4,3,7,6]=>[2,5,1,4,3,6]=>00001 [4,5,2,1,6,3,7]=>[2,5,6,4,1,3,7]=>[2,5,6,4,1,3]=>00000 [4,5,2,1,6,7,3]=>[2,5,7,4,1,6,3]=>[2,5,4,1,6,3]=>00000 [4,5,2,1,7,3,6]=>[2,5,7,4,1,3,6]=>[2,5,4,1,3,6]=>00001 [4,5,2,1,7,6,3]=>[2,5,6,4,1,7,3]=>[2,5,6,4,1,3]=>00000 [4,5,2,3,1,6,7]=>[3,5,2,4,1,6,7]=>[3,5,2,4,1,6]=>00001 [4,5,2,3,1,7,6]=>[3,5,2,4,1,7,6]=>[3,5,2,4,1,6]=>00001 [4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]=>[6,5,2,4,3,1]=>00000 [4,5,2,3,6,7,1]=>[7,5,2,4,3,6,1]=>[5,2,4,3,6,1]=>00000 [4,5,2,3,7,1,6]=>[7,5,2,4,3,1,6]=>[5,2,4,3,1,6]=>00001 [4,5,2,3,7,6,1]=>[6,5,2,4,3,7,1]=>[6,5,2,4,3,1]=>00000 [4,5,2,6,1,3,7]=>[6,5,1,4,2,3,7]=>[6,5,1,4,2,3]=>00000 [4,5,2,6,1,7,3]=>[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>00000 [4,5,2,6,3,1,7]=>[3,6,5,4,1,2,7]=>[3,6,5,4,1,2]=>00000 [4,5,2,6,3,7,1]=>[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>00000 [4,5,2,6,7,1,3]=>[7,5,1,4,2,6,3]=>[5,1,4,2,6,3]=>00000 [4,5,2,6,7,3,1]=>[3,7,5,4,1,6,2]=>[3,5,4,1,6,2]=>00000 [4,5,2,7,1,3,6]=>[7,5,1,4,2,3,6]=>[5,1,4,2,3,6]=>00001 [4,5,2,7,1,6,3]=>[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>00000 [4,5,2,7,3,1,6]=>[3,7,5,4,1,2,6]=>[3,5,4,1,2,6]=>00001 [4,5,2,7,3,6,1]=>[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>00000 [4,5,2,7,6,1,3]=>[6,5,1,4,2,7,3]=>[6,5,1,4,2,3]=>00000 [4,5,2,7,6,3,1]=>[3,6,5,4,1,7,2]=>[3,6,5,4,1,2]=>00000 [4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]=>[3,1,5,4,2,6]=>00001 [4,5,3,1,2,7,6]=>[3,1,5,4,2,7,6]=>[3,1,5,4,2,6]=>00001 [4,5,3,1,6,2,7]=>[3,5,6,4,2,1,7]=>[3,5,6,4,2,1]=>00000 [4,5,3,1,6,7,2]=>[3,5,7,4,2,6,1]=>[3,5,4,2,6,1]=>00000 [4,5,3,1,7,2,6]=>[3,5,7,4,2,1,6]=>[3,5,4,2,1,6]=>00001 [4,5,3,1,7,6,2]=>[3,5,6,4,2,7,1]=>[3,5,6,4,2,1]=>00000 [4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6]=>00001 [4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]=>[2,3,5,4,1,6]=>00001 [4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]=>[6,3,5,4,2,1]=>00000 [4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]=>[3,5,4,2,6,1]=>00000 [4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6]=>[3,5,4,2,1,6]=>00001 [4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1]=>[6,3,5,4,2,1]=>00000 [4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]=>[6,1,5,4,3,2]=>00000 [4,5,3,6,1,7,2]=>[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>00000 [4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1]=>00000 [4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2]=>[1,5,4,3,6,2]=>10000 [4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]=>[2,5,4,3,6,1]=>00000 [4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6]=>[1,5,4,3,2,6]=>10001 [4,5,3,7,1,6,2]=>[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>00000 [4,5,3,7,2,1,6]=>[2,7,5,4,3,1,6]=>[2,5,4,3,1,6]=>00001 [4,5,3,7,2,6,1]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [4,5,3,7,6,1,2]=>[6,1,5,4,3,7,2]=>[6,1,5,4,3,2]=>00000 [4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1]=>[2,6,5,4,3,1]=>00000 [4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[6,1,2,4,5,3]=>00000 [4,5,6,1,2,7,3]=>[6,1,7,4,5,2,3]=>[6,1,4,5,2,3]=>00000 [4,5,6,1,3,2,7]=>[6,3,1,4,5,2,7]=>[6,3,1,4,5,2]=>00000 [4,5,6,1,3,7,2]=>[6,7,1,4,5,3,2]=>[6,1,4,5,3,2]=>00000 [4,5,6,1,7,2,3]=>[6,7,2,4,5,1,3]=>[6,2,4,5,1,3]=>00000 [4,5,6,1,7,3,2]=>[6,3,7,4,5,1,2]=>[6,3,4,5,1,2]=>00000 [4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]=>[2,6,1,4,5,3]=>00000 [4,5,6,2,1,7,3]=>[2,6,7,4,5,1,3]=>[2,6,4,5,1,3]=>00000 [4,5,6,2,3,1,7]=>[3,6,2,4,5,1,7]=>[3,6,2,4,5,1]=>00000 [4,5,6,2,3,7,1]=>[7,6,2,4,5,3,1]=>[6,2,4,5,3,1]=>00000 [4,5,6,2,7,1,3]=>[7,6,1,4,5,2,3]=>[6,1,4,5,2,3]=>00000 [4,5,6,2,7,3,1]=>[3,7,6,4,5,1,2]=>[3,6,4,5,1,2]=>00000 [4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]=>[3,1,6,4,5,2]=>00000 [4,5,6,3,1,7,2]=>[3,6,7,4,5,2,1]=>[3,6,4,5,2,1]=>00000 [4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]=>[2,3,6,4,5,1]=>00000 [4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]=>[3,6,4,5,2,1]=>00000 [4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2]=>[1,6,4,5,3,2]=>10000 [4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]=>[2,6,4,5,3,1]=>00000 [4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]=>[1,2,4,5,6,3]=>11000 [4,5,6,7,1,3,2]=>[7,3,1,4,5,6,2]=>[3,1,4,5,6,2]=>00000 [4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]=>[2,1,4,5,6,3]=>01000 [4,5,6,7,2,3,1]=>[3,7,2,4,5,6,1]=>[3,2,4,5,6,1]=>00000 [4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2]=>[3,1,4,5,6,2]=>00000 [4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]=>[2,3,4,5,6,1]=>00000 [4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]=>[1,2,4,5,3,6]=>11001 [4,5,7,1,2,6,3]=>[7,1,6,4,5,2,3]=>[1,6,4,5,2,3]=>10000 [4,5,7,1,3,2,6]=>[7,3,1,4,5,2,6]=>[3,1,4,5,2,6]=>00001 [4,5,7,1,3,6,2]=>[7,6,1,4,5,3,2]=>[6,1,4,5,3,2]=>00000 [4,5,7,1,6,2,3]=>[7,6,2,4,5,1,3]=>[6,2,4,5,1,3]=>00000 [4,5,7,1,6,3,2]=>[7,3,6,4,5,1,2]=>[3,6,4,5,1,2]=>00000 [4,5,7,2,1,3,6]=>[2,7,1,4,5,3,6]=>[2,1,4,5,3,6]=>01001 [4,5,7,2,1,6,3]=>[2,7,6,4,5,1,3]=>[2,6,4,5,1,3]=>00000 [4,5,7,2,3,1,6]=>[3,7,2,4,5,1,6]=>[3,2,4,5,1,6]=>00001 [4,5,7,2,3,6,1]=>[6,7,2,4,5,3,1]=>[6,2,4,5,3,1]=>00000 [4,5,7,2,6,1,3]=>[6,7,1,4,5,2,3]=>[6,1,4,5,2,3]=>00000 [4,5,7,2,6,3,1]=>[3,6,7,4,5,1,2]=>[3,6,4,5,1,2]=>00000 [4,5,7,3,1,2,6]=>[3,1,7,4,5,2,6]=>[3,1,4,5,2,6]=>00001 [4,5,7,3,1,6,2]=>[3,7,6,4,5,2,1]=>[3,6,4,5,2,1]=>00000 [4,5,7,3,2,1,6]=>[2,3,7,4,5,1,6]=>[2,3,4,5,1,6]=>00001 [4,5,7,3,2,6,1]=>[6,3,7,4,5,2,1]=>[6,3,4,5,2,1]=>00000 [4,5,7,3,6,1,2]=>[6,1,7,4,5,3,2]=>[6,1,4,5,3,2]=>00000 [4,5,7,3,6,2,1]=>[2,6,7,4,5,3,1]=>[2,6,4,5,3,1]=>00000 [4,5,7,6,1,2,3]=>[6,1,2,4,5,7,3]=>[6,1,2,4,5,3]=>00000 [4,5,7,6,1,3,2]=>[6,3,1,4,5,7,2]=>[6,3,1,4,5,2]=>00000 [4,5,7,6,2,1,3]=>[2,6,1,4,5,7,3]=>[2,6,1,4,5,3]=>00000 [4,5,7,6,2,3,1]=>[3,6,2,4,5,7,1]=>[3,6,2,4,5,1]=>00000 [4,5,7,6,3,1,2]=>[3,1,6,4,5,7,2]=>[3,1,6,4,5,2]=>00000 [4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1]=>[2,3,6,4,5,1]=>00000 [4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]=>[6,1,2,4,3,5]=>00000 [4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]=>[6,1,2,4,3,5]=>00000 [4,6,1,2,5,3,7]=>[6,1,5,4,2,3,7]=>[6,1,5,4,2,3]=>00000 [4,6,1,2,5,7,3]=>[6,1,7,4,2,5,3]=>[6,1,4,2,5,3]=>00000 [4,6,1,2,7,3,5]=>[6,1,7,4,3,2,5]=>[6,1,4,3,2,5]=>00000 [4,6,1,2,7,5,3]=>[6,1,5,4,7,2,3]=>[6,1,5,4,2,3]=>00000 [4,6,1,3,2,5,7]=>[6,3,1,4,2,5,7]=>[6,3,1,4,2,5]=>00000 [4,6,1,3,2,7,5]=>[6,3,1,4,7,2,5]=>[6,3,1,4,2,5]=>00000 [4,6,1,3,5,2,7]=>[6,5,1,4,3,2,7]=>[6,5,1,4,3,2]=>00000 [4,6,1,3,5,7,2]=>[6,7,1,4,2,3,5]=>[6,1,4,2,3,5]=>00000 [4,6,1,3,7,2,5]=>[6,7,1,4,3,5,2]=>[6,1,4,3,5,2]=>00000 [4,6,1,3,7,5,2]=>[6,5,1,4,7,3,2]=>[6,5,1,4,3,2]=>00000 [4,6,1,5,2,3,7]=>[6,5,2,4,1,3,7]=>[6,5,2,4,1,3]=>00000 [4,6,1,5,2,7,3]=>[6,5,7,4,1,2,3]=>[6,5,4,1,2,3]=>00000 [4,6,1,5,3,2,7]=>[6,3,5,4,1,2,7]=>[6,3,5,4,1,2]=>00000 [4,6,1,5,3,7,2]=>[6,7,5,4,1,3,2]=>[6,5,4,1,3,2]=>00000 [4,6,1,5,7,2,3]=>[6,7,2,4,1,5,3]=>[6,2,4,1,5,3]=>00000 [4,6,1,5,7,3,2]=>[6,3,7,4,1,5,2]=>[6,3,4,1,5,2]=>00000 [4,6,1,7,2,3,5]=>[6,7,2,4,3,1,5]=>[6,2,4,3,1,5]=>00000 [4,6,1,7,2,5,3]=>[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>00000 [4,6,1,7,3,2,5]=>[6,3,7,4,2,1,5]=>[6,3,4,2,1,5]=>00000 [4,6,1,7,3,5,2]=>[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>00000 [4,6,1,7,5,2,3]=>[6,5,2,4,7,1,3]=>[6,5,2,4,1,3]=>00000 [4,6,1,7,5,3,2]=>[6,3,5,4,7,1,2]=>[6,3,5,4,1,2]=>00000 [4,6,2,1,3,5,7]=>[2,6,1,4,3,5,7]=>[2,6,1,4,3,5]=>00000 [4,6,2,1,3,7,5]=>[2,6,1,4,7,3,5]=>[2,6,1,4,3,5]=>00000 [4,6,2,1,5,3,7]=>[2,6,5,4,1,3,7]=>[2,6,5,4,1,3]=>00000 [4,6,2,1,5,7,3]=>[2,6,7,4,1,5,3]=>[2,6,4,1,5,3]=>00000 [4,6,2,1,7,3,5]=>[2,6,7,4,3,1,5]=>[2,6,4,3,1,5]=>00000 [4,6,2,1,7,5,3]=>[2,6,5,4,7,1,3]=>[2,6,5,4,1,3]=>00000 [4,6,2,3,1,5,7]=>[3,6,2,4,1,5,7]=>[3,6,2,4,1,5]=>00000 [4,6,2,3,1,7,5]=>[3,6,2,4,7,1,5]=>[3,6,2,4,1,5]=>00000 [4,6,2,3,5,1,7]=>[5,6,2,4,3,1,7]=>[5,6,2,4,3,1]=>00000 [4,6,2,3,5,7,1]=>[7,6,2,4,3,5,1]=>[6,2,4,3,5,1]=>00000 [4,6,2,3,7,1,5]=>[7,6,2,4,1,3,5]=>[6,2,4,1,3,5]=>00000 [4,6,2,3,7,5,1]=>[5,7,2,4,6,1,3]=>[5,2,4,6,1,3]=>00000 [4,6,2,5,1,3,7]=>[5,6,1,4,2,3,7]=>[5,6,1,4,2,3]=>00000 [4,6,2,5,1,7,3]=>[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>00000 [4,6,2,5,3,1,7]=>[3,5,6,4,1,2,7]=>[3,5,6,4,1,2]=>00000 [4,6,2,5,3,7,1]=>[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>00000 [4,6,2,5,7,1,3]=>[7,6,1,4,3,2,5]=>[6,1,4,3,2,5]=>00000 [4,6,2,5,7,3,1]=>[3,7,6,4,2,1,5]=>[3,6,4,2,1,5]=>00000 [4,6,2,7,1,3,5]=>[7,6,1,4,2,5,3]=>[6,1,4,2,5,3]=>00000 [4,6,2,7,1,5,3]=>[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>00000 [4,6,2,7,3,1,5]=>[3,7,6,4,1,5,2]=>[3,6,4,1,5,2]=>00000 [4,6,2,7,3,5,1]=>[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>00000 [4,6,2,7,5,1,3]=>[5,7,1,4,6,3,2]=>[5,1,4,6,3,2]=>00000 [4,6,2,7,5,3,1]=>[3,5,7,4,6,2,1]=>[3,5,4,6,2,1]=>00000 [4,6,3,1,2,5,7]=>[3,1,6,4,2,5,7]=>[3,1,6,4,2,5]=>00000 [4,6,3,1,2,7,5]=>[3,1,6,4,7,2,5]=>[3,1,6,4,2,5]=>00000 [4,6,3,1,5,2,7]=>[3,6,5,4,2,1,7]=>[3,6,5,4,2,1]=>00000 [4,6,3,1,5,7,2]=>[3,6,7,4,1,2,5]=>[3,6,4,1,2,5]=>00000 [4,6,3,1,7,2,5]=>[3,6,7,4,2,5,1]=>[3,6,4,2,5,1]=>00000 [4,6,3,1,7,5,2]=>[3,6,5,4,7,2,1]=>[3,6,5,4,2,1]=>00000 [4,6,3,2,1,5,7]=>[2,3,6,4,1,5,7]=>[2,3,6,4,1,5]=>00000 [4,6,3,2,1,7,5]=>[2,3,6,4,7,1,5]=>[2,3,6,4,1,5]=>00000 [4,6,3,2,5,1,7]=>[5,3,6,4,2,1,7]=>[5,3,6,4,2,1]=>00000 [4,6,3,2,5,7,1]=>[7,3,6,4,2,5,1]=>[3,6,4,2,5,1]=>00000 [4,6,3,2,7,1,5]=>[7,3,6,4,1,2,5]=>[3,6,4,1,2,5]=>00000 [4,6,3,2,7,5,1]=>[5,3,7,4,6,1,2]=>[5,3,4,6,1,2]=>00000 [4,6,3,5,1,2,7]=>[5,1,6,4,3,2,7]=>[5,1,6,4,3,2]=>00000 [4,6,3,5,1,7,2]=>[5,7,6,4,3,1,2]=>[5,6,4,3,1,2]=>00000 [4,6,3,5,2,1,7]=>[2,5,6,4,3,1,7]=>[2,5,6,4,3,1]=>00000 [4,6,3,5,2,7,1]=>[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>00000 [4,6,3,5,7,1,2]=>[7,1,6,4,3,5,2]=>[1,6,4,3,5,2]=>10000 [4,6,3,5,7,2,1]=>[2,7,6,4,3,5,1]=>[2,6,4,3,5,1]=>00000 [4,6,3,7,1,2,5]=>[7,1,6,4,2,3,5]=>[1,6,4,2,3,5]=>10000 [4,6,3,7,1,5,2]=>[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>00000 [4,6,3,7,2,1,5]=>[2,7,6,4,1,3,5]=>[2,6,4,1,3,5]=>00000 [4,6,3,7,2,5,1]=>[5,7,6,4,2,3,1]=>[5,6,4,2,3,1]=>00000 [4,6,3,7,5,1,2]=>[5,1,7,4,6,2,3]=>[5,1,4,6,2,3]=>00000 [4,6,3,7,5,2,1]=>[2,5,7,4,6,1,3]=>[2,5,4,6,1,3]=>00000 [4,6,5,1,2,3,7]=>[5,1,2,4,6,3,7]=>[5,1,2,4,6,3]=>00000 [4,6,5,1,2,7,3]=>[5,1,6,4,7,3,2]=>[5,1,6,4,3,2]=>00000 [4,6,5,1,3,2,7]=>[5,3,1,4,6,2,7]=>[5,3,1,4,6,2]=>00000 [4,6,5,1,3,7,2]=>[5,6,1,4,7,2,3]=>[5,6,1,4,2,3]=>00000 [4,6,5,1,7,2,3]=>[5,6,2,4,7,3,1]=>[5,6,2,4,3,1]=>00000 [4,6,5,1,7,3,2]=>[5,3,6,4,7,2,1]=>[5,3,6,4,2,1]=>00000 [4,6,5,2,1,3,7]=>[2,5,1,4,6,3,7]=>[2,5,1,4,6,3]=>00000 [4,6,5,2,1,7,3]=>[2,5,6,4,7,3,1]=>[2,5,6,4,3,1]=>00000 [4,6,5,2,3,1,7]=>[3,5,2,4,6,1,7]=>[3,5,2,4,6,1]=>00000 [4,6,5,2,3,7,1]=>[7,5,2,4,6,3,1]=>[5,2,4,6,3,1]=>00000 [4,6,5,2,7,1,3]=>[7,5,1,4,6,2,3]=>[5,1,4,6,2,3]=>00000 [4,6,5,2,7,3,1]=>[3,7,5,4,6,1,2]=>[3,5,4,6,1,2]=>00000 [4,6,5,3,1,2,7]=>[3,1,5,4,6,2,7]=>[3,1,5,4,6,2]=>00000 [4,6,5,3,1,7,2]=>[3,5,6,4,7,1,2]=>[3,5,6,4,1,2]=>00000 [4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]=>[2,3,5,4,6,1]=>00000 [4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1]=>[3,5,4,6,2,1]=>00000 [4,6,5,3,7,1,2]=>[7,1,5,4,6,3,2]=>[1,5,4,6,3,2]=>10000 [4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1]=>[2,5,4,6,3,1]=>00000 [4,6,5,7,1,2,3]=>[7,1,2,4,6,5,3]=>[1,2,4,6,5,3]=>11000 [4,6,5,7,1,3,2]=>[7,3,1,4,6,5,2]=>[3,1,4,6,5,2]=>00000 [4,6,5,7,2,1,3]=>[2,7,1,4,6,5,3]=>[2,1,4,6,5,3]=>01000 [4,6,5,7,2,3,1]=>[3,7,2,4,6,5,1]=>[3,2,4,6,5,1]=>00000 [4,6,5,7,3,1,2]=>[3,1,7,4,6,5,2]=>[3,1,4,6,5,2]=>00000 [4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1]=>[2,3,4,6,5,1]=>00000 [4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]=>[1,2,4,3,6,5]=>11010 [4,6,7,1,2,5,3]=>[7,1,5,4,2,6,3]=>[1,5,4,2,6,3]=>10000 [4,6,7,1,3,2,5]=>[7,3,1,4,2,6,5]=>[3,1,4,2,6,5]=>00010 [4,6,7,1,3,5,2]=>[7,5,1,4,3,6,2]=>[5,1,4,3,6,2]=>00000 [4,6,7,1,5,2,3]=>[7,5,2,4,1,6,3]=>[5,2,4,1,6,3]=>00000 [4,6,7,1,5,3,2]=>[7,3,5,4,1,6,2]=>[3,5,4,1,6,2]=>00000 [4,6,7,2,1,3,5]=>[2,7,1,4,3,6,5]=>[2,1,4,3,6,5]=>01010 [4,6,7,2,1,5,3]=>[2,7,5,4,1,6,3]=>[2,5,4,1,6,3]=>00000 [4,6,7,2,3,1,5]=>[3,7,2,4,1,6,5]=>[3,2,4,1,6,5]=>00010 [4,6,7,2,3,5,1]=>[5,7,2,4,3,6,1]=>[5,2,4,3,6,1]=>00000 [4,6,7,2,5,1,3]=>[5,7,1,4,2,6,3]=>[5,1,4,2,6,3]=>00000 [4,6,7,2,5,3,1]=>[3,5,7,4,1,6,2]=>[3,5,4,1,6,2]=>00000 [4,6,7,3,1,2,5]=>[3,1,7,4,2,6,5]=>[3,1,4,2,6,5]=>00010 [4,6,7,3,1,5,2]=>[3,7,5,4,2,6,1]=>[3,5,4,2,6,1]=>00000 [4,6,7,3,2,1,5]=>[2,3,7,4,1,6,5]=>[2,3,4,1,6,5]=>00010 [4,6,7,3,2,5,1]=>[5,3,7,4,2,6,1]=>[5,3,4,2,6,1]=>00000 [4,6,7,3,5,1,2]=>[5,1,7,4,3,6,2]=>[5,1,4,3,6,2]=>00000 [4,6,7,3,5,2,1]=>[2,5,7,4,3,6,1]=>[2,5,4,3,6,1]=>00000 [4,6,7,5,1,2,3]=>[5,1,2,4,7,6,3]=>[5,1,2,4,6,3]=>00000 [4,6,7,5,1,3,2]=>[5,3,1,4,7,6,2]=>[5,3,1,4,6,2]=>00000 [4,6,7,5,2,1,3]=>[2,5,1,4,7,6,3]=>[2,5,1,4,6,3]=>00000 [4,6,7,5,2,3,1]=>[3,5,2,4,7,6,1]=>[3,5,2,4,6,1]=>00000 [4,6,7,5,3,1,2]=>[3,1,5,4,7,6,2]=>[3,1,5,4,6,2]=>00000 [4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1]=>[2,3,5,4,6,1]=>00000 [4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]=>[1,2,4,3,5,6]=>11011 [4,7,1,2,3,6,5]=>[7,1,2,4,6,3,5]=>[1,2,4,6,3,5]=>11000 [4,7,1,2,5,3,6]=>[7,1,5,4,2,3,6]=>[1,5,4,2,3,6]=>10001 [4,7,1,2,5,6,3]=>[7,1,6,4,2,5,3]=>[1,6,4,2,5,3]=>10000 [4,7,1,2,6,3,5]=>[7,1,6,4,3,2,5]=>[1,6,4,3,2,5]=>10000 [4,7,1,2,6,5,3]=>[7,1,5,4,6,2,3]=>[1,5,4,6,2,3]=>10000 [4,7,1,3,2,5,6]=>[7,3,1,4,2,5,6]=>[3,1,4,2,5,6]=>00011 [4,7,1,3,2,6,5]=>[7,3,1,4,6,2,5]=>[3,1,4,6,2,5]=>00000 [4,7,1,3,5,2,6]=>[7,5,1,4,3,2,6]=>[5,1,4,3,2,6]=>00001 [4,7,1,3,5,6,2]=>[7,6,1,4,2,3,5]=>[6,1,4,2,3,5]=>00000 [4,7,1,3,6,2,5]=>[7,6,1,4,3,5,2]=>[6,1,4,3,5,2]=>00000 [4,7,1,3,6,5,2]=>[7,5,1,4,6,3,2]=>[5,1,4,6,3,2]=>00000 [4,7,1,5,2,3,6]=>[7,5,2,4,1,3,6]=>[5,2,4,1,3,6]=>00001 [4,7,1,5,2,6,3]=>[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>00000 [4,7,1,5,3,2,6]=>[7,3,5,4,1,2,6]=>[3,5,4,1,2,6]=>00001 [4,7,1,5,3,6,2]=>[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>00000 [4,7,1,5,6,2,3]=>[7,6,2,4,1,5,3]=>[6,2,4,1,5,3]=>00000 [4,7,1,5,6,3,2]=>[7,3,6,4,1,5,2]=>[3,6,4,1,5,2]=>00000 [4,7,1,6,2,3,5]=>[7,6,2,4,3,1,5]=>[6,2,4,3,1,5]=>00000 [4,7,1,6,2,5,3]=>[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>00000 [4,7,1,6,3,2,5]=>[7,3,6,4,2,1,5]=>[3,6,4,2,1,5]=>00000 [4,7,1,6,3,5,2]=>[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>00000 [4,7,1,6,5,2,3]=>[7,5,2,4,6,1,3]=>[5,2,4,6,1,3]=>00000 [4,7,1,6,5,3,2]=>[7,3,5,4,6,1,2]=>[3,5,4,6,1,2]=>00000 [4,7,2,1,3,5,6]=>[2,7,1,4,3,5,6]=>[2,1,4,3,5,6]=>01011 [4,7,2,1,3,6,5]=>[2,7,1,4,6,3,5]=>[2,1,4,6,3,5]=>01000 [4,7,2,1,5,3,6]=>[2,7,5,4,1,3,6]=>[2,5,4,1,3,6]=>00001 [4,7,2,1,5,6,3]=>[2,7,6,4,1,5,3]=>[2,6,4,1,5,3]=>00000 [4,7,2,1,6,3,5]=>[2,7,6,4,3,1,5]=>[2,6,4,3,1,5]=>00000 [4,7,2,1,6,5,3]=>[2,7,5,4,6,1,3]=>[2,5,4,6,1,3]=>00000 [4,7,2,3,1,5,6]=>[3,7,2,4,1,5,6]=>[3,2,4,1,5,6]=>00011 [4,7,2,3,1,6,5]=>[3,7,2,4,6,1,5]=>[3,2,4,6,1,5]=>00000 [4,7,2,3,5,1,6]=>[5,7,2,4,3,1,6]=>[5,2,4,3,1,6]=>00001 [4,7,2,3,5,6,1]=>[6,7,2,4,3,5,1]=>[6,2,4,3,5,1]=>00000 [4,7,2,3,6,1,5]=>[6,7,2,4,1,3,5]=>[6,2,4,1,3,5]=>00000 [4,7,2,3,6,5,1]=>[5,6,2,4,7,1,3]=>[5,6,2,4,1,3]=>00000 [4,7,2,5,1,3,6]=>[5,7,1,4,2,3,6]=>[5,1,4,2,3,6]=>00001 [4,7,2,5,1,6,3]=>[5,7,6,4,2,1,3]=>[5,6,4,2,1,3]=>00000 [4,7,2,5,3,1,6]=>[3,5,7,4,1,2,6]=>[3,5,4,1,2,6]=>00001 [4,7,2,5,3,6,1]=>[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>00000 [4,7,2,5,6,1,3]=>[6,7,1,4,3,2,5]=>[6,1,4,3,2,5]=>00000 [4,7,2,5,6,3,1]=>[3,6,7,4,2,1,5]=>[3,6,4,2,1,5]=>00000 [4,7,2,6,1,3,5]=>[6,7,1,4,2,5,3]=>[6,1,4,2,5,3]=>00000 [4,7,2,6,1,5,3]=>[6,7,5,4,1,2,3]=>[6,5,4,1,2,3]=>00000 [4,7,2,6,3,1,5]=>[3,6,7,4,1,5,2]=>[3,6,4,1,5,2]=>00000 [4,7,2,6,3,5,1]=>[5,7,6,4,3,2,1]=>[5,6,4,3,2,1]=>00000 [4,7,2,6,5,1,3]=>[5,6,1,4,7,3,2]=>[5,6,1,4,3,2]=>00000 [4,7,2,6,5,3,1]=>[3,5,6,4,7,2,1]=>[3,5,6,4,2,1]=>00000 [4,7,3,1,2,5,6]=>[3,1,7,4,2,5,6]=>[3,1,4,2,5,6]=>00011 [4,7,3,1,2,6,5]=>[3,1,7,4,6,2,5]=>[3,1,4,6,2,5]=>00000 [4,7,3,1,5,2,6]=>[3,7,5,4,2,1,6]=>[3,5,4,2,1,6]=>00001 [4,7,3,1,5,6,2]=>[3,7,6,4,1,2,5]=>[3,6,4,1,2,5]=>00000 [4,7,3,1,6,2,5]=>[3,7,6,4,2,5,1]=>[3,6,4,2,5,1]=>00000 [4,7,3,1,6,5,2]=>[3,7,5,4,6,2,1]=>[3,5,4,6,2,1]=>00000 [4,7,3,2,1,5,6]=>[2,3,7,4,1,5,6]=>[2,3,4,1,5,6]=>00011 [4,7,3,2,1,6,5]=>[2,3,7,4,6,1,5]=>[2,3,4,6,1,5]=>00000 [4,7,3,2,5,1,6]=>[5,3,7,4,2,1,6]=>[5,3,4,2,1,6]=>00001 [4,7,3,2,5,6,1]=>[6,3,7,4,2,5,1]=>[6,3,4,2,5,1]=>00000 [4,7,3,2,6,1,5]=>[6,3,7,4,1,2,5]=>[6,3,4,1,2,5]=>00000 [4,7,3,2,6,5,1]=>[5,3,6,4,7,1,2]=>[5,3,6,4,1,2]=>00000 [4,7,3,5,1,2,6]=>[5,1,7,4,3,2,6]=>[5,1,4,3,2,6]=>00001 [4,7,3,5,1,6,2]=>[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>00000 [4,7,3,5,2,1,6]=>[2,5,7,4,3,1,6]=>[2,5,4,3,1,6]=>00001 [4,7,3,5,2,6,1]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [4,7,3,5,6,1,2]=>[6,1,7,4,3,5,2]=>[6,1,4,3,5,2]=>00000 [4,7,3,5,6,2,1]=>[2,6,7,4,3,5,1]=>[2,6,4,3,5,1]=>00000 [4,7,3,6,1,2,5]=>[6,1,7,4,2,3,5]=>[6,1,4,2,3,5]=>00000 [4,7,3,6,1,5,2]=>[6,5,7,4,1,3,2]=>[6,5,4,1,3,2]=>00000 [4,7,3,6,2,1,5]=>[2,6,7,4,1,3,5]=>[2,6,4,1,3,5]=>00000 [4,7,3,6,2,5,1]=>[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>00000 [4,7,3,6,5,1,2]=>[5,1,6,4,7,2,3]=>[5,1,6,4,2,3]=>00000 [4,7,3,6,5,2,1]=>[2,5,6,4,7,1,3]=>[2,5,6,4,1,3]=>00000 [4,7,5,1,2,3,6]=>[5,1,2,4,7,3,6]=>[5,1,2,4,3,6]=>00001 [4,7,5,1,2,6,3]=>[5,1,7,4,6,3,2]=>[5,1,4,6,3,2]=>00000 [4,7,5,1,3,2,6]=>[5,3,1,4,7,2,6]=>[5,3,1,4,2,6]=>00001 [4,7,5,1,3,6,2]=>[5,7,1,4,6,2,3]=>[5,1,4,6,2,3]=>00000 [4,7,5,1,6,2,3]=>[5,7,2,4,6,3,1]=>[5,2,4,6,3,1]=>00000 [4,7,5,1,6,3,2]=>[5,3,7,4,6,2,1]=>[5,3,4,6,2,1]=>00000 [4,7,5,2,1,3,6]=>[2,5,1,4,7,3,6]=>[2,5,1,4,3,6]=>00001 [4,7,5,2,1,6,3]=>[2,5,7,4,6,3,1]=>[2,5,4,6,3,1]=>00000 [4,7,5,2,3,1,6]=>[3,5,2,4,7,1,6]=>[3,5,2,4,1,6]=>00001 [4,7,5,2,3,6,1]=>[6,5,2,4,7,3,1]=>[6,5,2,4,3,1]=>00000 [4,7,5,2,6,1,3]=>[6,5,1,4,7,2,3]=>[6,5,1,4,2,3]=>00000 [4,7,5,2,6,3,1]=>[3,6,5,4,7,1,2]=>[3,6,5,4,1,2]=>00000 [4,7,5,3,1,2,6]=>[3,1,5,4,7,2,6]=>[3,1,5,4,2,6]=>00001 [4,7,5,3,1,6,2]=>[3,5,7,4,6,1,2]=>[3,5,4,6,1,2]=>00000 [4,7,5,3,2,1,6]=>[2,3,5,4,7,1,6]=>[2,3,5,4,1,6]=>00001 [4,7,5,3,2,6,1]=>[6,3,5,4,7,2,1]=>[6,3,5,4,2,1]=>00000 [4,7,5,3,6,1,2]=>[6,1,5,4,7,3,2]=>[6,1,5,4,3,2]=>00000 [4,7,5,3,6,2,1]=>[2,6,5,4,7,3,1]=>[2,6,5,4,3,1]=>00000 [4,7,5,6,1,2,3]=>[6,1,2,4,7,5,3]=>[6,1,2,4,5,3]=>00000 [4,7,5,6,1,3,2]=>[6,3,1,4,7,5,2]=>[6,3,1,4,5,2]=>00000 [4,7,5,6,2,1,3]=>[2,6,1,4,7,5,3]=>[2,6,1,4,5,3]=>00000 [4,7,5,6,2,3,1]=>[3,6,2,4,7,5,1]=>[3,6,2,4,5,1]=>00000 [4,7,5,6,3,1,2]=>[3,1,6,4,7,5,2]=>[3,1,6,4,5,2]=>00000 [4,7,5,6,3,2,1]=>[2,3,6,4,7,5,1]=>[2,3,6,4,5,1]=>00000 [4,7,6,1,2,3,5]=>[6,1,2,4,3,7,5]=>[6,1,2,4,3,5]=>00000 [4,7,6,1,2,5,3]=>[6,1,5,4,2,7,3]=>[6,1,5,4,2,3]=>00000 [4,7,6,1,3,2,5]=>[6,3,1,4,2,7,5]=>[6,3,1,4,2,5]=>00000 [4,7,6,1,3,5,2]=>[6,5,1,4,3,7,2]=>[6,5,1,4,3,2]=>00000 [4,7,6,1,5,2,3]=>[6,5,2,4,1,7,3]=>[6,5,2,4,1,3]=>00000 [4,7,6,1,5,3,2]=>[6,3,5,4,1,7,2]=>[6,3,5,4,1,2]=>00000 [4,7,6,2,1,3,5]=>[2,6,1,4,3,7,5]=>[2,6,1,4,3,5]=>00000 [4,7,6,2,1,5,3]=>[2,6,5,4,1,7,3]=>[2,6,5,4,1,3]=>00000 [4,7,6,2,3,1,5]=>[3,6,2,4,1,7,5]=>[3,6,2,4,1,5]=>00000 [4,7,6,2,3,5,1]=>[5,6,2,4,3,7,1]=>[5,6,2,4,3,1]=>00000 [4,7,6,2,5,1,3]=>[5,6,1,4,2,7,3]=>[5,6,1,4,2,3]=>00000 [4,7,6,2,5,3,1]=>[3,5,6,4,1,7,2]=>[3,5,6,4,1,2]=>00000 [4,7,6,3,1,2,5]=>[3,1,6,4,2,7,5]=>[3,1,6,4,2,5]=>00000 [4,7,6,3,1,5,2]=>[3,6,5,4,2,7,1]=>[3,6,5,4,2,1]=>00000 [4,7,6,3,2,1,5]=>[2,3,6,4,1,7,5]=>[2,3,6,4,1,5]=>00000 [4,7,6,3,2,5,1]=>[5,3,6,4,2,7,1]=>[5,3,6,4,2,1]=>00000 [4,7,6,3,5,1,2]=>[5,1,6,4,3,7,2]=>[5,1,6,4,3,2]=>00000 [4,7,6,3,5,2,1]=>[2,5,6,4,3,7,1]=>[2,5,6,4,3,1]=>00000 [4,7,6,5,1,2,3]=>[5,1,2,4,6,7,3]=>[5,1,2,4,6,3]=>00000 [4,7,6,5,1,3,2]=>[5,3,1,4,6,7,2]=>[5,3,1,4,6,2]=>00000 [4,7,6,5,2,1,3]=>[2,5,1,4,6,7,3]=>[2,5,1,4,6,3]=>00000 [4,7,6,5,2,3,1]=>[3,5,2,4,6,7,1]=>[3,5,2,4,6,1]=>00000 [4,7,6,5,3,1,2]=>[3,1,5,4,6,7,2]=>[3,1,5,4,6,2]=>00000 [4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]=>[2,3,5,4,6,1]=>00000 [5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>00001 [5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,6]=>00001 [5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]=>[5,1,2,6,3,4]=>00000 [5,1,2,3,6,7,4]=>[5,1,2,7,3,6,4]=>[5,1,2,3,6,4]=>00000 [5,1,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[5,1,2,3,4,6]=>00001 [5,1,2,3,7,6,4]=>[5,1,2,6,3,7,4]=>[5,1,2,6,3,4]=>00000 [5,1,2,4,3,6,7]=>[5,1,4,2,3,6,7]=>[5,1,4,2,3,6]=>00001 [5,1,2,4,3,7,6]=>[5,1,4,2,3,7,6]=>[5,1,4,2,3,6]=>00001 [5,1,2,4,6,3,7]=>[5,1,6,2,4,3,7]=>[5,1,6,2,4,3]=>00000 [5,1,2,4,6,7,3]=>[5,1,7,2,4,6,3]=>[5,1,2,4,6,3]=>00000 [5,1,2,4,7,3,6]=>[5,1,7,2,4,3,6]=>[5,1,2,4,3,6]=>00001 [5,1,2,4,7,6,3]=>[5,1,6,2,4,7,3]=>[5,1,6,2,4,3]=>00000 [5,1,2,6,3,4,7]=>[5,1,6,3,2,4,7]=>[5,1,6,3,2,4]=>00000 [5,1,2,6,3,7,4]=>[5,1,6,7,2,3,4]=>[5,1,6,2,3,4]=>00000 [5,1,2,6,4,3,7]=>[5,1,4,6,2,3,7]=>[5,1,4,6,2,3]=>00000 [5,1,2,6,4,7,3]=>[5,1,7,6,2,4,3]=>[5,1,6,2,4,3]=>00000 [5,1,2,6,7,3,4]=>[5,1,7,3,2,6,4]=>[5,1,3,2,6,4]=>00000 [5,1,2,6,7,4,3]=>[5,1,4,7,2,6,3]=>[5,1,4,2,6,3]=>00000 [5,1,2,7,3,4,6]=>[5,1,7,3,2,4,6]=>[5,1,3,2,4,6]=>00001 [5,1,2,7,3,6,4]=>[5,1,7,6,2,3,4]=>[5,1,6,2,3,4]=>00000 [5,1,2,7,4,3,6]=>[5,1,4,7,2,3,6]=>[5,1,4,2,3,6]=>00001 [5,1,2,7,4,6,3]=>[5,1,6,7,2,4,3]=>[5,1,6,2,4,3]=>00000 [5,1,2,7,6,3,4]=>[5,1,6,3,2,7,4]=>[5,1,6,3,2,4]=>00000 [5,1,2,7,6,4,3]=>[5,1,4,6,2,7,3]=>[5,1,4,6,2,3]=>00000 [5,1,3,2,4,6,7]=>[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>00001 [5,1,3,2,4,7,6]=>[5,3,1,2,4,7,6]=>[5,3,1,2,4,6]=>00001 [5,1,3,2,6,4,7]=>[5,3,1,6,2,4,7]=>[5,3,1,6,2,4]=>00000 [5,1,3,2,6,7,4]=>[5,3,1,7,2,6,4]=>[5,3,1,2,6,4]=>00000 [5,1,3,2,7,4,6]=>[5,3,1,7,2,4,6]=>[5,3,1,2,4,6]=>00001 [5,1,3,2,7,6,4]=>[5,3,1,6,2,7,4]=>[5,3,1,6,2,4]=>00000 [5,1,3,4,2,6,7]=>[5,4,1,3,2,6,7]=>[5,4,1,3,2,6]=>00001 [5,1,3,4,2,7,6]=>[5,4,1,3,2,7,6]=>[5,4,1,3,2,6]=>00001 [5,1,3,4,6,2,7]=>[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>00000 [5,1,3,4,6,7,2]=>[5,7,1,2,3,6,4]=>[5,1,2,3,6,4]=>00000 [5,1,3,4,7,2,6]=>[5,7,1,2,3,4,6]=>[5,1,2,3,4,6]=>00001 [5,1,3,4,7,6,2]=>[5,6,1,2,3,7,4]=>[5,6,1,2,3,4]=>00000 [5,1,3,6,2,4,7]=>[5,6,1,3,4,2,7]=>[5,6,1,3,4,2]=>00000 [5,1,3,6,2,7,4]=>[5,6,1,7,3,2,4]=>[5,6,1,3,2,4]=>00000 [5,1,3,6,4,2,7]=>[5,4,1,6,3,2,7]=>[5,4,1,6,3,2]=>00000 [5,1,3,6,4,7,2]=>[5,7,1,6,3,4,2]=>[5,1,6,3,4,2]=>00000 [5,1,3,6,7,2,4]=>[5,7,1,3,4,6,2]=>[5,1,3,4,6,2]=>00000 [5,1,3,6,7,4,2]=>[5,4,1,7,3,6,2]=>[5,4,1,3,6,2]=>00000 [5,1,3,7,2,4,6]=>[5,7,1,3,4,2,6]=>[5,1,3,4,2,6]=>00001 [5,1,3,7,2,6,4]=>[5,7,1,6,3,2,4]=>[5,1,6,3,2,4]=>00000 [5,1,3,7,4,2,6]=>[5,4,1,7,3,2,6]=>[5,4,1,3,2,6]=>00001 [5,1,3,7,4,6,2]=>[5,6,1,7,3,4,2]=>[5,6,1,3,4,2]=>00000 [5,1,3,7,6,2,4]=>[5,6,1,3,4,7,2]=>[5,6,1,3,4,2]=>00000 [5,1,3,7,6,4,2]=>[5,4,1,6,3,7,2]=>[5,4,1,6,3,2]=>00000 [5,1,4,2,3,6,7]=>[5,4,2,1,3,6,7]=>[5,4,2,1,3,6]=>00001 [5,1,4,2,3,7,6]=>[5,4,2,1,3,7,6]=>[5,4,2,1,3,6]=>00001 [5,1,4,2,6,3,7]=>[5,4,6,1,2,3,7]=>[5,4,6,1,2,3]=>00000 [5,1,4,2,6,7,3]=>[5,4,7,1,2,6,3]=>[5,4,1,2,6,3]=>00000 [5,1,4,2,7,3,6]=>[5,4,7,1,2,3,6]=>[5,4,1,2,3,6]=>00001 [5,1,4,2,7,6,3]=>[5,4,6,1,2,7,3]=>[5,4,6,1,2,3]=>00000 [5,1,4,3,2,6,7]=>[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>00001 [5,1,4,3,2,7,6]=>[5,3,4,1,2,7,6]=>[5,3,4,1,2,6]=>00001 [5,1,4,3,6,2,7]=>[5,6,4,1,3,2,7]=>[5,6,4,1,3,2]=>00000 [5,1,4,3,6,7,2]=>[5,7,4,1,3,6,2]=>[5,4,1,3,6,2]=>00000 [5,1,4,3,7,2,6]=>[5,7,4,1,3,2,6]=>[5,4,1,3,2,6]=>00001 [5,1,4,3,7,6,2]=>[5,6,4,1,3,7,2]=>[5,6,4,1,3,2]=>00000 [5,1,4,6,2,3,7]=>[5,6,2,1,4,3,7]=>[5,6,2,1,4,3]=>00000 [5,1,4,6,2,7,3]=>[5,6,7,1,4,2,3]=>[5,6,1,4,2,3]=>00000 [5,1,4,6,3,2,7]=>[5,3,6,1,4,2,7]=>[5,3,6,1,4,2]=>00000 [5,1,4,6,3,7,2]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>00000 [5,1,4,6,7,2,3]=>[5,7,2,1,4,6,3]=>[5,2,1,4,6,3]=>00000 [5,1,4,6,7,3,2]=>[5,3,7,1,4,6,2]=>[5,3,1,4,6,2]=>00000 [5,1,4,7,2,3,6]=>[5,7,2,1,4,3,6]=>[5,2,1,4,3,6]=>00001 [5,1,4,7,2,6,3]=>[5,7,6,1,4,2,3]=>[5,6,1,4,2,3]=>00000 [5,1,4,7,3,2,6]=>[5,3,7,1,4,2,6]=>[5,3,1,4,2,6]=>00001 [5,1,4,7,3,6,2]=>[5,6,7,1,4,3,2]=>[5,6,1,4,3,2]=>00000 [5,1,4,7,6,2,3]=>[5,6,2,1,4,7,3]=>[5,6,2,1,4,3]=>00000 [5,1,4,7,6,3,2]=>[5,3,6,1,4,7,2]=>[5,3,6,1,4,2]=>00000 [5,1,6,2,3,4,7]=>[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>00000 [5,1,6,2,3,7,4]=>[5,6,2,7,1,3,4]=>[5,6,2,1,3,4]=>00000 [5,1,6,2,4,3,7]=>[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>00000 [5,1,6,2,4,7,3]=>[5,6,7,2,1,4,3]=>[5,6,2,1,4,3]=>00000 [5,1,6,2,7,3,4]=>[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>00000 [5,1,6,2,7,4,3]=>[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>00000 [5,1,6,3,2,4,7]=>[5,3,6,2,1,4,7]=>[5,3,6,2,1,4]=>00000 [5,1,6,3,2,7,4]=>[5,3,6,7,1,2,4]=>[5,3,6,1,2,4]=>00000 [5,1,6,3,4,2,7]=>[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>00000 [5,1,6,3,4,7,2]=>[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>00000 [5,1,6,3,7,2,4]=>[5,7,6,2,1,3,4]=>[5,6,2,1,3,4]=>00000 [5,1,6,3,7,4,2]=>[5,4,7,6,1,2,3]=>[5,4,6,1,2,3]=>00000 [5,1,6,4,2,3,7]=>[5,4,2,6,1,3,7]=>[5,4,2,6,1,3]=>00000 [5,1,6,4,2,7,3]=>[5,4,6,7,1,3,2]=>[5,4,6,1,3,2]=>00000 [5,1,6,4,3,2,7]=>[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>00000 [5,1,6,4,3,7,2]=>[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>00000 [5,1,6,4,7,2,3]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>00000 [5,1,6,4,7,3,2]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>00000 [5,1,6,7,2,3,4]=>[5,7,2,3,1,6,4]=>[5,2,3,1,6,4]=>00000 [5,1,6,7,2,4,3]=>[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>00000 [5,1,6,7,3,2,4]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>00000 [5,1,6,7,3,4,2]=>[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>00000 [5,1,6,7,4,2,3]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>00000 [5,1,6,7,4,3,2]=>[5,3,4,7,1,6,2]=>[5,3,4,1,6,2]=>00000 [5,1,7,2,3,4,6]=>[5,7,2,3,1,4,6]=>[5,2,3,1,4,6]=>00001 [5,1,7,2,3,6,4]=>[5,7,2,6,1,3,4]=>[5,2,6,1,3,4]=>00000 [5,1,7,2,4,3,6]=>[5,7,4,2,1,3,6]=>[5,4,2,1,3,6]=>00001 [5,1,7,2,4,6,3]=>[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>00000 [5,1,7,2,6,3,4]=>[5,7,6,3,1,2,4]=>[5,6,3,1,2,4]=>00000 [5,1,7,2,6,4,3]=>[5,7,4,6,1,2,3]=>[5,4,6,1,2,3]=>00000 [5,1,7,3,2,4,6]=>[5,3,7,2,1,4,6]=>[5,3,2,1,4,6]=>00001 [5,1,7,3,2,6,4]=>[5,3,7,6,1,2,4]=>[5,3,6,1,2,4]=>00000 [5,1,7,3,4,2,6]=>[5,4,7,3,1,2,6]=>[5,4,3,1,2,6]=>00001 [5,1,7,3,4,6,2]=>[5,6,7,3,1,4,2]=>[5,6,3,1,4,2]=>00000 [5,1,7,3,6,2,4]=>[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>00000 [5,1,7,3,6,4,2]=>[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>00000 [5,1,7,4,2,3,6]=>[5,4,2,7,1,3,6]=>[5,4,2,1,3,6]=>00001 [5,1,7,4,2,6,3]=>[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>00000 [5,1,7,4,3,2,6]=>[5,3,4,7,1,2,6]=>[5,3,4,1,2,6]=>00001 [5,1,7,4,3,6,2]=>[5,6,4,7,1,3,2]=>[5,6,4,1,3,2]=>00000 [5,1,7,4,6,2,3]=>[5,6,2,7,1,4,3]=>[5,6,2,1,4,3]=>00000 [5,1,7,4,6,3,2]=>[5,3,6,7,1,4,2]=>[5,3,6,1,4,2]=>00000 [5,1,7,6,2,3,4]=>[5,6,2,3,1,7,4]=>[5,6,2,3,1,4]=>00000 [5,1,7,6,2,4,3]=>[5,6,4,2,1,7,3]=>[5,6,4,2,1,3]=>00000 [5,1,7,6,3,2,4]=>[5,3,6,2,1,7,4]=>[5,3,6,2,1,4]=>00000 [5,1,7,6,3,4,2]=>[5,4,6,3,1,7,2]=>[5,4,6,3,1,2]=>00000 [5,1,7,6,4,2,3]=>[5,4,2,6,1,7,3]=>[5,4,2,6,1,3]=>00000 [5,1,7,6,4,3,2]=>[5,3,4,6,1,7,2]=>[5,3,4,6,1,2]=>00000 [5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>[2,5,1,3,4,6]=>00001 [5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]=>[2,5,1,3,4,6]=>00001 [5,2,1,3,6,4,7]=>[2,5,1,6,3,4,7]=>[2,5,1,6,3,4]=>00000 [5,2,1,3,6,7,4]=>[2,5,1,7,3,6,4]=>[2,5,1,3,6,4]=>00000 [5,2,1,3,7,4,6]=>[2,5,1,7,3,4,6]=>[2,5,1,3,4,6]=>00001 [5,2,1,3,7,6,4]=>[2,5,1,6,3,7,4]=>[2,5,1,6,3,4]=>00000 [5,2,1,4,3,6,7]=>[2,5,4,1,3,6,7]=>[2,5,4,1,3,6]=>00001 [5,2,1,4,3,7,6]=>[2,5,4,1,3,7,6]=>[2,5,4,1,3,6]=>00001 [5,2,1,4,6,3,7]=>[2,5,6,1,4,3,7]=>[2,5,6,1,4,3]=>00000 [5,2,1,4,6,7,3]=>[2,5,7,1,4,6,3]=>[2,5,1,4,6,3]=>00000 [5,2,1,4,7,3,6]=>[2,5,7,1,4,3,6]=>[2,5,1,4,3,6]=>00001 [5,2,1,4,7,6,3]=>[2,5,6,1,4,7,3]=>[2,5,6,1,4,3]=>00000 [5,2,1,6,3,4,7]=>[2,5,6,3,1,4,7]=>[2,5,6,3,1,4]=>00000 [5,2,1,6,3,7,4]=>[2,5,6,7,1,3,4]=>[2,5,6,1,3,4]=>00000 [5,2,1,6,4,3,7]=>[2,5,4,6,1,3,7]=>[2,5,4,6,1,3]=>00000 [5,2,1,6,4,7,3]=>[2,5,7,6,1,4,3]=>[2,5,6,1,4,3]=>00000 [5,2,1,6,7,3,4]=>[2,5,7,3,1,6,4]=>[2,5,3,1,6,4]=>00000 [5,2,1,6,7,4,3]=>[2,5,4,7,1,6,3]=>[2,5,4,1,6,3]=>00000 [5,2,1,7,3,4,6]=>[2,5,7,3,1,4,6]=>[2,5,3,1,4,6]=>00001 [5,2,1,7,3,6,4]=>[2,5,7,6,1,3,4]=>[2,5,6,1,3,4]=>00000 [5,2,1,7,4,3,6]=>[2,5,4,7,1,3,6]=>[2,5,4,1,3,6]=>00001 [5,2,1,7,4,6,3]=>[2,5,6,7,1,4,3]=>[2,5,6,1,4,3]=>00000 [5,2,1,7,6,3,4]=>[2,5,6,3,1,7,4]=>[2,5,6,3,1,4]=>00000 [5,2,1,7,6,4,3]=>[2,5,4,6,1,7,3]=>[2,5,4,6,1,3]=>00000 [5,2,3,1,4,6,7]=>[3,5,2,1,4,6,7]=>[3,5,2,1,4,6]=>00001 [5,2,3,1,4,7,6]=>[3,5,2,1,4,7,6]=>[3,5,2,1,4,6]=>00001 [5,2,3,1,6,4,7]=>[3,5,2,6,1,4,7]=>[3,5,2,6,1,4]=>00000 [5,2,3,1,6,7,4]=>[3,5,2,7,1,6,4]=>[3,5,2,1,6,4]=>00000 [5,2,3,1,7,4,6]=>[3,5,2,7,1,4,6]=>[3,5,2,1,4,6]=>00001 [5,2,3,1,7,6,4]=>[3,5,2,6,1,7,4]=>[3,5,2,6,1,4]=>00000 [5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>00001 [5,2,3,4,1,7,6]=>[4,5,2,3,1,7,6]=>[4,5,2,3,1,6]=>00001 [5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]=>[6,5,2,3,4,1]=>00000 [5,2,3,4,6,7,1]=>[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>00000 [5,2,3,4,7,1,6]=>[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>00001 [5,2,3,4,7,6,1]=>[6,5,2,3,4,7,1]=>[6,5,2,3,4,1]=>00000 [5,2,3,6,1,4,7]=>[6,5,2,1,3,4,7]=>[6,5,2,1,3,4]=>00000 [5,2,3,6,1,7,4]=>[6,5,2,7,3,1,4]=>[6,5,2,3,1,4]=>00000 [5,2,3,6,4,1,7]=>[4,6,2,5,1,3,7]=>[4,6,2,5,1,3]=>00000 [5,2,3,6,4,7,1]=>[7,5,2,6,3,4,1]=>[5,2,6,3,4,1]=>00000 [5,2,3,6,7,1,4]=>[7,5,2,1,3,6,4]=>[5,2,1,3,6,4]=>00000 [5,2,3,6,7,4,1]=>[4,7,2,5,1,6,3]=>[4,2,5,1,6,3]=>00000 [5,2,3,7,1,4,6]=>[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>00001 [5,2,3,7,1,6,4]=>[7,5,2,6,3,1,4]=>[5,2,6,3,1,4]=>00000 [5,2,3,7,4,1,6]=>[4,7,2,5,1,3,6]=>[4,2,5,1,3,6]=>00001 [5,2,3,7,4,6,1]=>[6,5,2,7,3,4,1]=>[6,5,2,3,4,1]=>00000 [5,2,3,7,6,1,4]=>[6,5,2,1,3,7,4]=>[6,5,2,1,3,4]=>00000 [5,2,3,7,6,4,1]=>[4,6,2,5,1,7,3]=>[4,6,2,5,1,3]=>00000 [5,2,4,1,3,6,7]=>[4,5,1,2,3,6,7]=>[4,5,1,2,3,6]=>00001 [5,2,4,1,3,7,6]=>[4,5,1,2,3,7,6]=>[4,5,1,2,3,6]=>00001 [5,2,4,1,6,3,7]=>[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>00000 [5,2,4,1,6,7,3]=>[4,5,7,2,1,6,3]=>[4,5,2,1,6,3]=>00000 [5,2,4,1,7,3,6]=>[4,5,7,2,1,3,6]=>[4,5,2,1,3,6]=>00001 [5,2,4,1,7,6,3]=>[4,5,6,2,1,7,3]=>[4,5,6,2,1,3]=>00000 [5,2,4,3,1,6,7]=>[3,4,5,1,2,6,7]=>[3,4,5,1,2,6]=>00001 [5,2,4,3,1,7,6]=>[3,4,5,1,2,7,6]=>[3,4,5,1,2,6]=>00001 [5,2,4,3,6,1,7]=>[6,5,4,2,3,1,7]=>[6,5,4,2,3,1]=>00000 [5,2,4,3,6,7,1]=>[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>00000 [5,2,4,3,7,1,6]=>[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>00001 [5,2,4,3,7,6,1]=>[6,5,4,2,3,7,1]=>[6,5,4,2,3,1]=>00000 [5,2,4,6,1,3,7]=>[6,5,1,3,2,4,7]=>[6,5,1,3,2,4]=>00000 [5,2,4,6,1,7,3]=>[6,5,7,2,4,1,3]=>[6,5,2,4,1,3]=>00000 [5,2,4,6,3,1,7]=>[3,6,5,2,1,4,7]=>[3,6,5,2,1,4]=>00000 [5,2,4,6,3,7,1]=>[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>00000 [5,2,4,6,7,1,3]=>[7,5,1,3,2,6,4]=>[5,1,3,2,6,4]=>00000 [5,2,4,6,7,3,1]=>[3,7,5,2,1,6,4]=>[3,5,2,1,6,4]=>00000 [5,2,4,7,1,3,6]=>[7,5,1,3,2,4,6]=>[5,1,3,2,4,6]=>00001 [5,2,4,7,1,6,3]=>[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>00000 [5,2,4,7,3,1,6]=>[3,7,5,2,1,4,6]=>[3,5,2,1,4,6]=>00001 [5,2,4,7,3,6,1]=>[6,5,7,2,4,3,1]=>[6,5,2,4,3,1]=>00000 [5,2,4,7,6,1,3]=>[6,5,1,3,2,7,4]=>[6,5,1,3,2,4]=>00000 [5,2,4,7,6,3,1]=>[3,6,5,2,1,7,4]=>[3,6,5,2,1,4]=>00000 [5,2,6,1,3,4,7]=>[6,5,1,2,4,3,7]=>[6,5,1,2,4,3]=>00000 [5,2,6,1,3,7,4]=>[6,5,1,7,2,3,4]=>[6,5,1,2,3,4]=>00000 [5,2,6,1,4,3,7]=>[6,5,4,1,2,3,7]=>[6,5,4,1,2,3]=>00000 [5,2,6,1,4,7,3]=>[6,5,7,1,2,4,3]=>[6,5,1,2,4,3]=>00000 [5,2,6,1,7,3,4]=>[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>00000 [5,2,6,1,7,4,3]=>[6,5,4,7,2,1,3]=>[6,5,4,2,1,3]=>00000 [5,2,6,3,1,4,7]=>[3,6,5,1,4,2,7]=>[3,6,5,1,4,2]=>00000 [5,2,6,3,1,7,4]=>[3,6,5,7,1,2,4]=>[3,6,5,1,2,4]=>00000 [5,2,6,3,4,1,7]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>00000 [5,2,6,3,4,7,1]=>[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>00000 [5,2,6,3,7,1,4]=>[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>00000 [5,2,6,3,7,4,1]=>[4,7,5,6,3,1,2]=>[4,5,6,3,1,2]=>00000 [5,2,6,4,1,3,7]=>[4,6,1,5,3,2,7]=>[4,6,1,5,3,2]=>00000 [5,2,6,4,1,7,3]=>[4,6,5,7,3,2,1]=>[4,6,5,3,2,1]=>00000 [5,2,6,4,3,1,7]=>[3,4,6,5,2,1,7]=>[3,4,6,5,2,1]=>00000 [5,2,6,4,3,7,1]=>[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>00000 [5,2,6,4,7,1,3]=>[7,5,1,6,2,4,3]=>[5,1,6,2,4,3]=>00000 [5,2,6,4,7,3,1]=>[3,7,5,6,1,4,2]=>[3,5,6,1,4,2]=>00000 [5,2,6,7,1,3,4]=>[7,5,1,2,4,6,3]=>[5,1,2,4,6,3]=>00000 [5,2,6,7,1,4,3]=>[7,5,4,1,2,6,3]=>[5,4,1,2,6,3]=>00000 [5,2,6,7,3,1,4]=>[3,7,5,1,4,6,2]=>[3,5,1,4,6,2]=>00000 [5,2,6,7,3,4,1]=>[4,5,7,3,2,6,1]=>[4,5,3,2,6,1]=>00000 [5,2,6,7,4,1,3]=>[4,7,1,5,3,6,2]=>[4,1,5,3,6,2]=>00000 [5,2,6,7,4,3,1]=>[3,4,7,5,2,6,1]=>[3,4,5,2,6,1]=>00000 [5,2,7,1,3,4,6]=>[7,5,1,2,4,3,6]=>[5,1,2,4,3,6]=>00001 [5,2,7,1,3,6,4]=>[7,5,1,6,2,3,4]=>[5,1,6,2,3,4]=>00000 [5,2,7,1,4,3,6]=>[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>00001 [5,2,7,1,4,6,3]=>[7,5,6,1,2,4,3]=>[5,6,1,2,4,3]=>00000 [5,2,7,1,6,3,4]=>[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>00000 [5,2,7,1,6,4,3]=>[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>00000 [5,2,7,3,1,4,6]=>[3,7,5,1,4,2,6]=>[3,5,1,4,2,6]=>00001 [5,2,7,3,1,6,4]=>[3,7,5,6,1,2,4]=>[3,5,6,1,2,4]=>00000 [5,2,7,3,4,1,6]=>[4,5,7,3,2,1,6]=>[4,5,3,2,1,6]=>00001 [5,2,7,3,4,6,1]=>[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>00000 [5,2,7,3,6,1,4]=>[6,5,7,1,2,3,4]=>[6,5,1,2,3,4]=>00000 [5,2,7,3,6,4,1]=>[4,6,5,7,3,1,2]=>[4,6,5,3,1,2]=>00000 [5,2,7,4,1,3,6]=>[4,7,1,5,3,2,6]=>[4,1,5,3,2,6]=>00001 [5,2,7,4,1,6,3]=>[4,7,5,6,3,2,1]=>[4,5,6,3,2,1]=>00000 [5,2,7,4,3,1,6]=>[3,4,7,5,2,1,6]=>[3,4,5,2,1,6]=>00001 [5,2,7,4,3,6,1]=>[6,5,4,7,2,3,1]=>[6,5,4,2,3,1]=>00000 [5,2,7,4,6,1,3]=>[6,5,1,7,2,4,3]=>[6,5,1,2,4,3]=>00000 [5,2,7,4,6,3,1]=>[3,6,5,7,1,4,2]=>[3,6,5,1,4,2]=>00000 [5,2,7,6,1,3,4]=>[6,5,1,2,4,7,3]=>[6,5,1,2,4,3]=>00000 [5,2,7,6,1,4,3]=>[6,5,4,1,2,7,3]=>[6,5,4,1,2,3]=>00000 [5,2,7,6,3,1,4]=>[3,6,5,1,4,7,2]=>[3,6,5,1,4,2]=>00000 [5,2,7,6,3,4,1]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>00000 [5,2,7,6,4,1,3]=>[4,6,1,5,3,7,2]=>[4,6,1,5,3,2]=>00000 [5,2,7,6,4,3,1]=>[3,4,6,5,2,7,1]=>[3,4,6,5,2,1]=>00000 [5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]=>[3,1,5,2,4,6]=>00001 [5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6]=>[3,1,5,2,4,6]=>00001 [5,3,1,2,6,4,7]=>[3,1,5,6,2,4,7]=>[3,1,5,6,2,4]=>00000 [5,3,1,2,6,7,4]=>[3,1,5,7,2,6,4]=>[3,1,5,2,6,4]=>00000 [5,3,1,2,7,4,6]=>[3,1,5,7,2,4,6]=>[3,1,5,2,4,6]=>00001 [5,3,1,2,7,6,4]=>[3,1,5,6,2,7,4]=>[3,1,5,6,2,4]=>00000 [5,3,1,4,2,6,7]=>[3,5,4,2,1,6,7]=>[3,5,4,2,1,6]=>00001 [5,3,1,4,2,7,6]=>[3,5,4,2,1,7,6]=>[3,5,4,2,1,6]=>00001 [5,3,1,4,6,2,7]=>[3,5,6,1,2,4,7]=>[3,5,6,1,2,4]=>00000 [5,3,1,4,6,7,2]=>[3,5,7,1,2,6,4]=>[3,5,1,2,6,4]=>00000 [5,3,1,4,7,2,6]=>[3,5,7,1,2,4,6]=>[3,5,1,2,4,6]=>00001 [5,3,1,4,7,6,2]=>[3,5,6,1,2,7,4]=>[3,5,6,1,2,4]=>00000 [5,3,1,6,2,4,7]=>[3,5,6,2,4,1,7]=>[3,5,6,2,4,1]=>00000 [5,3,1,6,2,7,4]=>[3,5,6,7,2,1,4]=>[3,5,6,2,1,4]=>00000 [5,3,1,6,4,2,7]=>[3,5,4,6,2,1,7]=>[3,5,4,6,2,1]=>00000 [5,3,1,6,4,7,2]=>[3,5,7,6,2,4,1]=>[3,5,6,2,4,1]=>00000 [5,3,1,6,7,2,4]=>[3,5,7,2,4,6,1]=>[3,5,2,4,6,1]=>00000 [5,3,1,6,7,4,2]=>[3,5,4,7,2,6,1]=>[3,5,4,2,6,1]=>00000 [5,3,1,7,2,4,6]=>[3,5,7,2,4,1,6]=>[3,5,2,4,1,6]=>00001 [5,3,1,7,2,6,4]=>[3,5,7,6,2,1,4]=>[3,5,6,2,1,4]=>00000 [5,3,1,7,4,2,6]=>[3,5,4,7,2,1,6]=>[3,5,4,2,1,6]=>00001 [5,3,1,7,4,6,2]=>[3,5,6,7,2,4,1]=>[3,5,6,2,4,1]=>00000 [5,3,1,7,6,2,4]=>[3,5,6,2,4,7,1]=>[3,5,6,2,4,1]=>00000 [5,3,1,7,6,4,2]=>[3,5,4,6,2,7,1]=>[3,5,4,6,2,1]=>00000 [5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]=>[2,3,5,1,4,6]=>00001 [5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6]=>[2,3,5,1,4,6]=>00001 [5,3,2,1,6,4,7]=>[2,3,5,6,1,4,7]=>[2,3,5,6,1,4]=>00000 [5,3,2,1,6,7,4]=>[2,3,5,7,1,6,4]=>[2,3,5,1,6,4]=>00000 [5,3,2,1,7,4,6]=>[2,3,5,7,1,4,6]=>[2,3,5,1,4,6]=>00001 [5,3,2,1,7,6,4]=>[2,3,5,6,1,7,4]=>[2,3,5,6,1,4]=>00000 [5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6]=>00001 [5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6]=>[4,3,5,2,1,6]=>00001 [5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]=>[6,3,5,2,4,1]=>00000 [5,3,2,4,6,7,1]=>[7,3,5,2,4,6,1]=>[3,5,2,4,6,1]=>00000 [5,3,2,4,7,1,6]=>[7,3,5,2,4,1,6]=>[3,5,2,4,1,6]=>00001 [5,3,2,4,7,6,1]=>[6,3,5,2,4,7,1]=>[6,3,5,2,4,1]=>00000 [5,3,2,6,1,4,7]=>[6,3,5,1,2,4,7]=>[6,3,5,1,2,4]=>00000 [5,3,2,6,1,7,4]=>[6,3,5,7,2,1,4]=>[6,3,5,2,1,4]=>00000 [5,3,2,6,4,1,7]=>[4,3,6,5,1,2,7]=>[4,3,6,5,1,2]=>00000 [5,3,2,6,4,7,1]=>[7,3,5,6,2,4,1]=>[3,5,6,2,4,1]=>00000 [5,3,2,6,7,1,4]=>[7,3,5,1,2,6,4]=>[3,5,1,2,6,4]=>00000 [5,3,2,6,7,4,1]=>[4,3,7,5,1,6,2]=>[4,3,5,1,6,2]=>00000 [5,3,2,7,1,4,6]=>[7,3,5,1,2,4,6]=>[3,5,1,2,4,6]=>00001 [5,3,2,7,1,6,4]=>[7,3,5,6,2,1,4]=>[3,5,6,2,1,4]=>00000 [5,3,2,7,4,1,6]=>[4,3,7,5,1,2,6]=>[4,3,5,1,2,6]=>00001 [5,3,2,7,4,6,1]=>[6,3,5,7,2,4,1]=>[6,3,5,2,4,1]=>00000 [5,3,2,7,6,1,4]=>[6,3,5,1,2,7,4]=>[6,3,5,1,2,4]=>00000 [5,3,2,7,6,4,1]=>[4,3,6,5,1,7,2]=>[4,3,6,5,1,2]=>00000 [5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]=>[4,1,5,3,2,6]=>00001 [5,3,4,1,2,7,6]=>[4,1,5,3,2,7,6]=>[4,1,5,3,2,6]=>00001 [5,3,4,1,6,2,7]=>[4,6,5,3,1,2,7]=>[4,6,5,3,1,2]=>00000 [5,3,4,1,6,7,2]=>[4,7,5,3,1,6,2]=>[4,5,3,1,6,2]=>00000 [5,3,4,1,7,2,6]=>[4,7,5,3,1,2,6]=>[4,5,3,1,2,6]=>00001 [5,3,4,1,7,6,2]=>[4,6,5,3,1,7,2]=>[4,6,5,3,1,2]=>00000 [5,3,4,2,1,6,7]=>[2,4,5,3,1,6,7]=>[2,4,5,3,1,6]=>00001 [5,3,4,2,1,7,6]=>[2,4,5,3,1,7,6]=>[2,4,5,3,1,6]=>00001 [5,3,4,2,6,1,7]=>[6,4,5,3,2,1,7]=>[6,4,5,3,2,1]=>00000 [5,3,4,2,6,7,1]=>[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>00000 [5,3,4,2,7,1,6]=>[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>00001 [5,3,4,2,7,6,1]=>[6,4,5,3,2,7,1]=>[6,4,5,3,2,1]=>00000 [5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]=>[6,1,5,3,4,2]=>00000 [5,3,4,6,1,7,2]=>[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>00000 [5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]=>[2,6,5,3,4,1]=>00000 [5,3,4,6,2,7,1]=>[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>00000 [5,3,4,6,7,1,2]=>[7,1,5,3,4,6,2]=>[1,5,3,4,6,2]=>10000 [5,3,4,6,7,2,1]=>[2,7,5,3,4,6,1]=>[2,5,3,4,6,1]=>00000 [5,3,4,7,1,2,6]=>[7,1,5,3,4,2,6]=>[1,5,3,4,2,6]=>10001 [5,3,4,7,1,6,2]=>[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>00000 [5,3,4,7,2,1,6]=>[2,7,5,3,4,1,6]=>[2,5,3,4,1,6]=>00001 [5,3,4,7,2,6,1]=>[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>00000 [5,3,4,7,6,1,2]=>[6,1,5,3,4,7,2]=>[6,1,5,3,4,2]=>00000 [5,3,4,7,6,2,1]=>[2,6,5,3,4,7,1]=>[2,6,5,3,4,1]=>00000 [5,3,6,1,2,4,7]=>[6,1,5,2,3,4,7]=>[6,1,5,2,3,4]=>00000 [5,3,6,1,2,7,4]=>[6,1,5,7,3,2,4]=>[6,1,5,3,2,4]=>00000 [5,3,6,1,4,2,7]=>[6,4,5,1,3,2,7]=>[6,4,5,1,3,2]=>00000 [5,3,6,1,4,7,2]=>[6,7,5,1,3,4,2]=>[6,5,1,3,4,2]=>00000 [5,3,6,1,7,2,4]=>[6,7,5,2,3,1,4]=>[6,5,2,3,1,4]=>00000 [5,3,6,1,7,4,2]=>[6,4,7,5,2,1,3]=>[6,4,5,2,1,3]=>00000 [5,3,6,2,1,4,7]=>[2,6,5,1,3,4,7]=>[2,6,5,1,3,4]=>00000 [5,3,6,2,1,7,4]=>[2,6,5,7,3,1,4]=>[2,6,5,3,1,4]=>00000 [5,3,6,2,4,1,7]=>[4,6,5,2,3,1,7]=>[4,6,5,2,3,1]=>00000 [5,3,6,2,4,7,1]=>[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>00000 [5,3,6,2,7,1,4]=>[7,6,5,1,3,2,4]=>[6,5,1,3,2,4]=>00000 [5,3,6,2,7,4,1]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>00000 [5,3,6,4,1,2,7]=>[4,1,6,5,2,3,7]=>[4,1,6,5,2,3]=>00000 [5,3,6,4,1,7,2]=>[4,6,7,5,1,2,3]=>[4,6,5,1,2,3]=>00000 [5,3,6,4,2,1,7]=>[2,4,6,5,1,3,7]=>[2,4,6,5,1,3]=>00000 [5,3,6,4,2,7,1]=>[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>00000 [5,3,6,4,7,1,2]=>[7,1,5,6,3,4,2]=>[1,5,6,3,4,2]=>10000 [5,3,6,4,7,2,1]=>[2,7,5,6,3,4,1]=>[2,5,6,3,4,1]=>00000 [5,3,6,7,1,2,4]=>[7,1,5,2,3,6,4]=>[1,5,2,3,6,4]=>10000 [5,3,6,7,1,4,2]=>[7,4,5,1,3,6,2]=>[4,5,1,3,6,2]=>00000 [5,3,6,7,2,1,4]=>[2,7,5,1,3,6,4]=>[2,5,1,3,6,4]=>00000 [5,3,6,7,2,4,1]=>[4,7,5,2,3,6,1]=>[4,5,2,3,6,1]=>00000 [5,3,6,7,4,1,2]=>[4,1,7,5,2,6,3]=>[4,1,5,2,6,3]=>00000 [5,3,6,7,4,2,1]=>[2,4,7,5,1,6,3]=>[2,4,5,1,6,3]=>00000 [5,3,7,1,2,4,6]=>[7,1,5,2,3,4,6]=>[1,5,2,3,4,6]=>10001 [5,3,7,1,2,6,4]=>[7,1,5,6,3,2,4]=>[1,5,6,3,2,4]=>10000 [5,3,7,1,4,2,6]=>[7,4,5,1,3,2,6]=>[4,5,1,3,2,6]=>00001 [5,3,7,1,4,6,2]=>[7,6,5,1,3,4,2]=>[6,5,1,3,4,2]=>00000 [5,3,7,1,6,2,4]=>[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>00000 [5,3,7,1,6,4,2]=>[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>00000 [5,3,7,2,1,4,6]=>[2,7,5,1,3,4,6]=>[2,5,1,3,4,6]=>00001 [5,3,7,2,1,6,4]=>[2,7,5,6,3,1,4]=>[2,5,6,3,1,4]=>00000 [5,3,7,2,4,1,6]=>[4,7,5,2,3,1,6]=>[4,5,2,3,1,6]=>00001 [5,3,7,2,4,6,1]=>[6,7,5,2,3,4,1]=>[6,5,2,3,4,1]=>00000 [5,3,7,2,6,1,4]=>[6,7,5,1,3,2,4]=>[6,5,1,3,2,4]=>00000 [5,3,7,2,6,4,1]=>[4,6,7,5,1,3,2]=>[4,6,5,1,3,2]=>00000 [5,3,7,4,1,2,6]=>[4,1,7,5,2,3,6]=>[4,1,5,2,3,6]=>00001 [5,3,7,4,1,6,2]=>[4,7,6,5,1,2,3]=>[4,6,5,1,2,3]=>00000 [5,3,7,4,2,1,6]=>[2,4,7,5,1,3,6]=>[2,4,5,1,3,6]=>00001 [5,3,7,4,2,6,1]=>[6,4,7,5,2,3,1]=>[6,4,5,2,3,1]=>00000 [5,3,7,4,6,1,2]=>[6,1,5,7,3,4,2]=>[6,1,5,3,4,2]=>00000 [5,3,7,4,6,2,1]=>[2,6,5,7,3,4,1]=>[2,6,5,3,4,1]=>00000 [5,3,7,6,1,2,4]=>[6,1,5,2,3,7,4]=>[6,1,5,2,3,4]=>00000 [5,3,7,6,1,4,2]=>[6,4,5,1,3,7,2]=>[6,4,5,1,3,2]=>00000 [5,3,7,6,2,1,4]=>[2,6,5,1,3,7,4]=>[2,6,5,1,3,4]=>00000 [5,3,7,6,2,4,1]=>[4,6,5,2,3,7,1]=>[4,6,5,2,3,1]=>00000 [5,3,7,6,4,1,2]=>[4,1,6,5,2,7,3]=>[4,1,6,5,2,3]=>00000 [5,3,7,6,4,2,1]=>[2,4,6,5,1,7,3]=>[2,4,6,5,1,3]=>00000 [5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]=>[4,1,2,5,3,6]=>00001 [5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6]=>[4,1,2,5,3,6]=>00001 [5,4,1,2,6,3,7]=>[4,1,5,6,3,2,7]=>[4,1,5,6,3,2]=>00000 [5,4,1,2,6,7,3]=>[4,1,5,7,3,6,2]=>[4,1,5,3,6,2]=>00000 [5,4,1,2,7,3,6]=>[4,1,5,7,3,2,6]=>[4,1,5,3,2,6]=>00001 [5,4,1,2,7,6,3]=>[4,1,5,6,3,7,2]=>[4,1,5,6,3,2]=>00000 [5,4,1,3,2,6,7]=>[4,3,1,5,2,6,7]=>[4,3,1,5,2,6]=>00001 [5,4,1,3,2,7,6]=>[4,3,1,5,2,7,6]=>[4,3,1,5,2,6]=>00001 [5,4,1,3,6,2,7]=>[4,5,1,6,2,3,7]=>[4,5,1,6,2,3]=>00000 [5,4,1,3,6,7,2]=>[4,5,1,7,2,6,3]=>[4,5,1,2,6,3]=>00000 [5,4,1,3,7,2,6]=>[4,5,1,7,2,3,6]=>[4,5,1,2,3,6]=>00001 [5,4,1,3,7,6,2]=>[4,5,1,6,2,7,3]=>[4,5,1,6,2,3]=>00000 [5,4,1,6,2,3,7]=>[4,5,2,6,3,1,7]=>[4,5,2,6,3,1]=>00000 [5,4,1,6,2,7,3]=>[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>00000 [5,4,1,6,3,2,7]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1]=>00000 [5,4,1,6,3,7,2]=>[4,5,7,6,2,1,3]=>[4,5,6,2,1,3]=>00000 [5,4,1,6,7,2,3]=>[4,5,2,7,3,6,1]=>[4,5,2,3,6,1]=>00000 [5,4,1,6,7,3,2]=>[4,3,5,7,2,6,1]=>[4,3,5,2,6,1]=>00000 [5,4,1,7,2,3,6]=>[4,5,2,7,3,1,6]=>[4,5,2,3,1,6]=>00001 [5,4,1,7,2,6,3]=>[4,5,7,6,2,3,1]=>[4,5,6,2,3,1]=>00000 [5,4,1,7,3,2,6]=>[4,3,5,7,2,1,6]=>[4,3,5,2,1,6]=>00001 [5,4,1,7,3,6,2]=>[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>00000 [5,4,1,7,6,2,3]=>[4,5,2,6,3,7,1]=>[4,5,2,6,3,1]=>00000 [5,4,1,7,6,3,2]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,1]=>00000 [5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]=>[2,4,1,5,3,6]=>00001 [5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6]=>[2,4,1,5,3,6]=>00001 [5,4,2,1,6,3,7]=>[2,4,5,6,3,1,7]=>[2,4,5,6,3,1]=>00000 [5,4,2,1,6,7,3]=>[2,4,5,7,3,6,1]=>[2,4,5,3,6,1]=>00000 [5,4,2,1,7,3,6]=>[2,4,5,7,3,1,6]=>[2,4,5,3,1,6]=>00001 [5,4,2,1,7,6,3]=>[2,4,5,6,3,7,1]=>[2,4,5,6,3,1]=>00000 [5,4,2,3,1,6,7]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6]=>00001 [5,4,2,3,1,7,6]=>[3,4,2,5,1,7,6]=>[3,4,2,5,1,6]=>00001 [5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]=>[6,4,2,5,3,1]=>00000 [5,4,2,3,6,7,1]=>[7,4,2,5,3,6,1]=>[4,2,5,3,6,1]=>00000 [5,4,2,3,7,1,6]=>[7,4,2,5,3,1,6]=>[4,2,5,3,1,6]=>00001 [5,4,2,3,7,6,1]=>[6,4,2,5,3,7,1]=>[6,4,2,5,3,1]=>00000 [5,4,2,6,1,3,7]=>[6,4,1,5,2,3,7]=>[6,4,1,5,2,3]=>00000 [5,4,2,6,1,7,3]=>[6,4,5,7,3,1,2]=>[6,4,5,3,1,2]=>00000 [5,4,2,6,3,1,7]=>[3,6,4,5,1,2,7]=>[3,6,4,5,1,2]=>00000 [5,4,2,6,3,7,1]=>[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>00000 [5,4,2,6,7,1,3]=>[7,4,1,5,2,6,3]=>[4,1,5,2,6,3]=>00000 [5,4,2,6,7,3,1]=>[3,7,4,5,1,6,2]=>[3,4,5,1,6,2]=>00000 [5,4,2,7,1,3,6]=>[7,4,1,5,2,3,6]=>[4,1,5,2,3,6]=>00001 [5,4,2,7,1,6,3]=>[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>00000 [5,4,2,7,3,1,6]=>[3,7,4,5,1,2,6]=>[3,4,5,1,2,6]=>00001 [5,4,2,7,3,6,1]=>[6,4,5,7,3,2,1]=>[6,4,5,3,2,1]=>00000 [5,4,2,7,6,1,3]=>[6,4,1,5,2,7,3]=>[6,4,1,5,2,3]=>00000 [5,4,2,7,6,3,1]=>[3,6,4,5,1,7,2]=>[3,6,4,5,1,2]=>00000 [5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]=>[3,1,4,5,2,6]=>00001 [5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6]=>[3,1,4,5,2,6]=>00001 [5,4,3,1,6,2,7]=>[3,4,5,6,1,2,7]=>[3,4,5,6,1,2]=>00000 [5,4,3,1,6,7,2]=>[3,4,5,7,1,6,2]=>[3,4,5,1,6,2]=>00000 [5,4,3,1,7,2,6]=>[3,4,5,7,1,2,6]=>[3,4,5,1,2,6]=>00001 [5,4,3,1,7,6,2]=>[3,4,5,6,1,7,2]=>[3,4,5,6,1,2]=>00000 [5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6]=>00001 [5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]=>[2,3,4,5,1,6]=>00001 [5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]=>[6,3,4,5,2,1]=>00000 [5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]=>[3,4,5,2,6,1]=>00000 [5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6]=>[3,4,5,2,1,6]=>00001 [5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1]=>[6,3,4,5,2,1]=>00000 [5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]=>[6,1,4,5,3,2]=>00000 [5,4,3,6,1,7,2]=>[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>00000 [5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]=>[2,6,4,5,3,1]=>00000 [5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>00000 [5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2]=>[1,4,5,3,6,2]=>10000 [5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]=>[2,4,5,3,6,1]=>00000 [5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6]=>[1,4,5,3,2,6]=>10001 [5,4,3,7,1,6,2]=>[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>00000 [5,4,3,7,2,1,6]=>[2,7,4,5,3,1,6]=>[2,4,5,3,1,6]=>00001 [5,4,3,7,2,6,1]=>[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>00000 [5,4,3,7,6,1,2]=>[6,1,4,5,3,7,2]=>[6,1,4,5,3,2]=>00000 [5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1]=>[2,6,4,5,3,1]=>00000 [5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]=>[6,1,2,5,4,3]=>00000 [5,4,6,1,2,7,3]=>[6,1,7,5,4,2,3]=>[6,1,5,4,2,3]=>00000 [5,4,6,1,3,2,7]=>[6,3,1,5,4,2,7]=>[6,3,1,5,4,2]=>00000 [5,4,6,1,3,7,2]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>00000 [5,4,6,1,7,2,3]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>00000 [5,4,6,1,7,3,2]=>[6,3,7,5,4,1,2]=>[6,3,5,4,1,2]=>00000 [5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]=>[2,6,1,5,4,3]=>00000 [5,4,6,2,1,7,3]=>[2,6,7,5,4,1,3]=>[2,6,5,4,1,3]=>00000 [5,4,6,2,3,1,7]=>[3,6,2,5,4,1,7]=>[3,6,2,5,4,1]=>00000 [5,4,6,2,3,7,1]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>00000 [5,4,6,2,7,1,3]=>[7,6,1,5,4,2,3]=>[6,1,5,4,2,3]=>00000 [5,4,6,2,7,3,1]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>00000 [5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]=>[3,1,6,5,4,2]=>00000 [5,4,6,3,1,7,2]=>[3,6,7,5,4,2,1]=>[3,6,5,4,2,1]=>00000 [5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]=>[2,3,6,5,4,1]=>00000 [5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>00000 [5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>10000 [5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>00000 [5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]=>[1,2,5,4,6,3]=>11000 [5,4,6,7,1,3,2]=>[7,3,1,5,4,6,2]=>[3,1,5,4,6,2]=>00000 [5,4,6,7,2,1,3]=>[2,7,1,5,4,6,3]=>[2,1,5,4,6,3]=>01000 [5,4,6,7,2,3,1]=>[3,7,2,5,4,6,1]=>[3,2,5,4,6,1]=>00000 [5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2]=>[3,1,5,4,6,2]=>00000 [5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]=>[2,3,5,4,6,1]=>00000 [5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6]=>[1,2,5,4,3,6]=>11001 [5,4,7,1,2,6,3]=>[7,1,6,5,4,2,3]=>[1,6,5,4,2,3]=>10000 [5,4,7,1,3,2,6]=>[7,3,1,5,4,2,6]=>[3,1,5,4,2,6]=>00001 [5,4,7,1,3,6,2]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>00000 [5,4,7,1,6,2,3]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>00000 [5,4,7,1,6,3,2]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>00000 [5,4,7,2,1,3,6]=>[2,7,1,5,4,3,6]=>[2,1,5,4,3,6]=>01001 [5,4,7,2,1,6,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>00000 [5,4,7,2,3,1,6]=>[3,7,2,5,4,1,6]=>[3,2,5,4,1,6]=>00001 [5,4,7,2,3,6,1]=>[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>00000 [5,4,7,2,6,1,3]=>[6,7,1,5,4,2,3]=>[6,1,5,4,2,3]=>00000 [5,4,7,2,6,3,1]=>[3,6,7,5,4,1,2]=>[3,6,5,4,1,2]=>00000 [5,4,7,3,1,2,6]=>[3,1,7,5,4,2,6]=>[3,1,5,4,2,6]=>00001 [5,4,7,3,1,6,2]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>00000 [5,4,7,3,2,1,6]=>[2,3,7,5,4,1,6]=>[2,3,5,4,1,6]=>00001 [5,4,7,3,2,6,1]=>[6,3,7,5,4,2,1]=>[6,3,5,4,2,1]=>00000 [5,4,7,3,6,1,2]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>00000 [5,4,7,3,6,2,1]=>[2,6,7,5,4,3,1]=>[2,6,5,4,3,1]=>00000 [5,4,7,6,1,2,3]=>[6,1,2,5,4,7,3]=>[6,1,2,5,4,3]=>00000 [5,4,7,6,1,3,2]=>[6,3,1,5,4,7,2]=>[6,3,1,5,4,2]=>00000 [5,4,7,6,2,1,3]=>[2,6,1,5,4,7,3]=>[2,6,1,5,4,3]=>00000 [5,4,7,6,2,3,1]=>[3,6,2,5,4,7,1]=>[3,6,2,5,4,1]=>00000 [5,4,7,6,3,1,2]=>[3,1,6,5,4,7,2]=>[3,1,6,5,4,2]=>00000 [5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1]=>[2,3,6,5,4,1]=>00000 [5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[6,1,2,3,5,4]=>00000 [5,6,1,2,3,7,4]=>[6,1,2,7,5,3,4]=>[6,1,2,5,3,4]=>00000 [5,6,1,2,4,3,7]=>[6,1,4,2,5,3,7]=>[6,1,4,2,5,3]=>00000 [5,6,1,2,4,7,3]=>[6,1,7,2,5,4,3]=>[6,1,2,5,4,3]=>00000 [5,6,1,2,7,3,4]=>[6,1,7,3,5,2,4]=>[6,1,3,5,2,4]=>00000 [5,6,1,2,7,4,3]=>[6,1,4,7,5,2,3]=>[6,1,4,5,2,3]=>00000 [5,6,1,3,2,4,7]=>[6,3,1,2,5,4,7]=>[6,3,1,2,5,4]=>00000 [5,6,1,3,2,7,4]=>[6,3,1,7,5,2,4]=>[6,3,1,5,2,4]=>00000 [5,6,1,3,4,2,7]=>[6,4,1,3,5,2,7]=>[6,4,1,3,5,2]=>00000 [5,6,1,3,4,7,2]=>[6,7,1,2,5,3,4]=>[6,1,2,5,3,4]=>00000 [5,6,1,3,7,2,4]=>[6,7,1,3,5,4,2]=>[6,1,3,5,4,2]=>00000 [5,6,1,3,7,4,2]=>[6,4,1,7,5,3,2]=>[6,4,1,5,3,2]=>00000 [5,6,1,4,2,3,7]=>[6,4,2,1,5,3,7]=>[6,4,2,1,5,3]=>00000 [5,6,1,4,2,7,3]=>[6,4,7,1,5,2,3]=>[6,4,1,5,2,3]=>00000 [5,6,1,4,3,2,7]=>[6,3,4,1,5,2,7]=>[6,3,4,1,5,2]=>00000 [5,6,1,4,3,7,2]=>[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>00000 [5,6,1,4,7,2,3]=>[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>00000 [5,6,1,4,7,3,2]=>[6,3,7,1,5,4,2]=>[6,3,1,5,4,2]=>00000 [5,6,1,7,2,3,4]=>[6,7,2,3,5,1,4]=>[6,2,3,5,1,4]=>00000 [5,6,1,7,2,4,3]=>[6,7,4,2,5,1,3]=>[6,4,2,5,1,3]=>00000 [5,6,1,7,3,2,4]=>[6,3,7,2,5,1,4]=>[6,3,2,5,1,4]=>00000 [5,6,1,7,3,4,2]=>[6,4,7,3,5,1,2]=>[6,4,3,5,1,2]=>00000 [5,6,1,7,4,2,3]=>[6,4,2,7,5,1,3]=>[6,4,2,5,1,3]=>00000 [5,6,1,7,4,3,2]=>[6,3,4,7,5,1,2]=>[6,3,4,5,1,2]=>00000 [5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]=>[2,6,1,3,5,4]=>00000 [5,6,2,1,3,7,4]=>[2,6,1,7,5,3,4]=>[2,6,1,5,3,4]=>00000 [5,6,2,1,4,3,7]=>[2,6,4,1,5,3,7]=>[2,6,4,1,5,3]=>00000 [5,6,2,1,4,7,3]=>[2,6,7,1,5,4,3]=>[2,6,1,5,4,3]=>00000 [5,6,2,1,7,3,4]=>[2,6,7,3,5,1,4]=>[2,6,3,5,1,4]=>00000 [5,6,2,1,7,4,3]=>[2,6,4,7,5,1,3]=>[2,6,4,5,1,3]=>00000 [5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7]=>[3,6,2,1,5,4]=>00000 [5,6,2,3,1,7,4]=>[3,6,2,7,5,1,4]=>[3,6,2,5,1,4]=>00000 [5,6,2,3,4,1,7]=>[4,6,2,3,5,1,7]=>[4,6,2,3,5,1]=>00000 [5,6,2,3,4,7,1]=>[7,6,2,3,5,4,1]=>[6,2,3,5,4,1]=>00000 [5,6,2,3,7,1,4]=>[7,6,2,1,5,3,4]=>[6,2,1,5,3,4]=>00000 [5,6,2,3,7,4,1]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>00000 [5,6,2,4,1,3,7]=>[4,6,1,2,5,3,7]=>[4,6,1,2,5,3]=>00000 [5,6,2,4,1,7,3]=>[4,6,7,2,5,1,3]=>[4,6,2,5,1,3]=>00000 [5,6,2,4,3,1,7]=>[3,4,6,1,5,2,7]=>[3,4,6,1,5,2]=>00000 [5,6,2,4,3,7,1]=>[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>00000 [5,6,2,4,7,1,3]=>[7,6,1,3,5,2,4]=>[6,1,3,5,2,4]=>00000 [5,6,2,4,7,3,1]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>00000 [5,6,2,7,1,3,4]=>[7,6,1,2,5,4,3]=>[6,1,2,5,4,3]=>00000 [5,6,2,7,1,4,3]=>[7,6,4,1,5,2,3]=>[6,4,1,5,2,3]=>00000 [5,6,2,7,3,1,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>00000 [5,6,2,7,3,4,1]=>[4,6,7,3,5,2,1]=>[4,6,3,5,2,1]=>00000 [5,6,2,7,4,1,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>00000 [5,6,2,7,4,3,1]=>[3,4,7,6,5,2,1]=>[3,4,6,5,2,1]=>00000 [5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]=>[3,1,6,2,5,4]=>00000 [5,6,3,1,2,7,4]=>[3,1,6,7,5,2,4]=>[3,1,6,5,2,4]=>00000 [5,6,3,1,4,2,7]=>[3,6,4,2,5,1,7]=>[3,6,4,2,5,1]=>00000 [5,6,3,1,4,7,2]=>[3,6,7,1,5,2,4]=>[3,6,1,5,2,4]=>00000 [5,6,3,1,7,2,4]=>[3,6,7,2,5,4,1]=>[3,6,2,5,4,1]=>00000 [5,6,3,1,7,4,2]=>[3,6,4,7,5,2,1]=>[3,6,4,5,2,1]=>00000 [5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]=>[2,3,6,1,5,4]=>00000 [5,6,3,2,1,7,4]=>[2,3,6,7,5,1,4]=>[2,3,6,5,1,4]=>00000 [5,6,3,2,4,1,7]=>[4,3,6,2,5,1,7]=>[4,3,6,2,5,1]=>00000 [5,6,3,2,4,7,1]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>00000 [5,6,3,2,7,1,4]=>[7,3,6,1,5,2,4]=>[3,6,1,5,2,4]=>00000 [5,6,3,2,7,4,1]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>00000 [5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]=>[4,1,6,3,5,2]=>00000 [5,6,3,4,1,7,2]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>00000 [5,6,3,4,2,1,7]=>[2,4,6,3,5,1,7]=>[2,4,6,3,5,1]=>00000 [5,6,3,4,2,7,1]=>[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>00000 [5,6,3,4,7,1,2]=>[7,1,6,3,5,4,2]=>[1,6,3,5,4,2]=>10000 [5,6,3,4,7,2,1]=>[2,7,6,3,5,4,1]=>[2,6,3,5,4,1]=>00000 [5,6,3,7,1,2,4]=>[7,1,6,2,5,3,4]=>[1,6,2,5,3,4]=>10000 [5,6,3,7,1,4,2]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>00000 [5,6,3,7,2,1,4]=>[2,7,6,1,5,3,4]=>[2,6,1,5,3,4]=>00000 [5,6,3,7,2,4,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>00000 [5,6,3,7,4,1,2]=>[4,1,7,6,5,2,3]=>[4,1,6,5,2,3]=>00000 [5,6,3,7,4,2,1]=>[2,4,7,6,5,1,3]=>[2,4,6,5,1,3]=>00000 [5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]=>[4,1,2,6,5,3]=>00000 [5,6,4,1,2,7,3]=>[4,1,6,7,5,3,2]=>[4,1,6,5,3,2]=>00000 [5,6,4,1,3,2,7]=>[4,3,1,6,5,2,7]=>[4,3,1,6,5,2]=>00000 [5,6,4,1,3,7,2]=>[4,6,1,7,5,2,3]=>[4,6,1,5,2,3]=>00000 [5,6,4,1,7,2,3]=>[4,6,2,7,5,3,1]=>[4,6,2,5,3,1]=>00000 [5,6,4,1,7,3,2]=>[4,3,6,7,5,2,1]=>[4,3,6,5,2,1]=>00000 [5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]=>[2,4,1,6,5,3]=>00000 [5,6,4,2,1,7,3]=>[2,4,6,7,5,3,1]=>[2,4,6,5,3,1]=>00000 [5,6,4,2,3,1,7]=>[3,4,2,6,5,1,7]=>[3,4,2,6,5,1]=>00000 [5,6,4,2,3,7,1]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>00000 [5,6,4,2,7,1,3]=>[7,4,1,6,5,2,3]=>[4,1,6,5,2,3]=>00000 [5,6,4,2,7,3,1]=>[3,7,4,6,5,1,2]=>[3,4,6,5,1,2]=>00000 [5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]=>[3,1,4,6,5,2]=>00000 [5,6,4,3,1,7,2]=>[3,4,6,7,5,1,2]=>[3,4,6,5,1,2]=>00000 [5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]=>[2,3,4,6,5,1]=>00000 [5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]=>[3,4,6,5,2,1]=>00000 [5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2]=>[1,4,6,5,3,2]=>10000 [5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]=>[2,4,6,5,3,1]=>00000 [5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3]=>[1,2,6,5,4,3]=>11000 [5,6,4,7,1,3,2]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>00000 [5,6,4,7,2,1,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>01000 [5,6,4,7,2,3,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>00000 [5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>00000 [5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]=>[2,3,6,5,4,1]=>00000 [5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[1,2,3,5,6,4]=>11100 [5,6,7,1,2,4,3]=>[7,1,4,2,5,6,3]=>[1,4,2,5,6,3]=>10000 [5,6,7,1,3,2,4]=>[7,3,1,2,5,6,4]=>[3,1,2,5,6,4]=>00100 [5,6,7,1,3,4,2]=>[7,4,1,3,5,6,2]=>[4,1,3,5,6,2]=>00000 [5,6,7,1,4,2,3]=>[7,4,2,1,5,6,3]=>[4,2,1,5,6,3]=>00000 [5,6,7,1,4,3,2]=>[7,3,4,1,5,6,2]=>[3,4,1,5,6,2]=>00000 [5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]=>[2,1,3,5,6,4]=>01100 [5,6,7,2,1,4,3]=>[2,7,4,1,5,6,3]=>[2,4,1,5,6,3]=>00000 [5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4]=>[3,2,1,5,6,4]=>00100 [5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1]=>[4,2,3,5,6,1]=>00000 [5,6,7,2,4,1,3]=>[4,7,1,2,5,6,3]=>[4,1,2,5,6,3]=>00000 [5,6,7,2,4,3,1]=>[3,4,7,1,5,6,2]=>[3,4,1,5,6,2]=>00000 [5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]=>[3,1,2,5,6,4]=>00100 [5,6,7,3,1,4,2]=>[3,7,4,2,5,6,1]=>[3,4,2,5,6,1]=>00000 [5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]=>[2,3,1,5,6,4]=>00100 [5,6,7,3,2,4,1]=>[4,3,7,2,5,6,1]=>[4,3,2,5,6,1]=>00000 [5,6,7,3,4,1,2]=>[4,1,7,3,5,6,2]=>[4,1,3,5,6,2]=>00000 [5,6,7,3,4,2,1]=>[2,4,7,3,5,6,1]=>[2,4,3,5,6,1]=>00000 [5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3]=>[4,1,2,5,6,3]=>00000 [5,6,7,4,1,3,2]=>[4,3,1,7,5,6,2]=>[4,3,1,5,6,2]=>00000 [5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3]=>[2,4,1,5,6,3]=>00000 [5,6,7,4,2,3,1]=>[3,4,2,7,5,6,1]=>[3,4,2,5,6,1]=>00000 [5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2]=>[3,1,4,5,6,2]=>00000 [5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]=>[2,3,4,5,6,1]=>00000 [5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]=>[1,2,3,5,4,6]=>11101 [5,7,1,2,3,6,4]=>[7,1,2,6,5,3,4]=>[1,2,6,5,3,4]=>11000 [5,7,1,2,4,3,6]=>[7,1,4,2,5,3,6]=>[1,4,2,5,3,6]=>10001 [5,7,1,2,4,6,3]=>[7,1,6,2,5,4,3]=>[1,6,2,5,4,3]=>10000 [5,7,1,2,6,3,4]=>[7,1,6,3,5,2,4]=>[1,6,3,5,2,4]=>10000 [5,7,1,2,6,4,3]=>[7,1,4,6,5,2,3]=>[1,4,6,5,2,3]=>10000 [5,7,1,3,2,4,6]=>[7,3,1,2,5,4,6]=>[3,1,2,5,4,6]=>00101 [5,7,1,3,2,6,4]=>[7,3,1,6,5,2,4]=>[3,1,6,5,2,4]=>00000 [5,7,1,3,4,2,6]=>[7,4,1,3,5,2,6]=>[4,1,3,5,2,6]=>00001 [5,7,1,3,4,6,2]=>[7,6,1,2,5,3,4]=>[6,1,2,5,3,4]=>00000 [5,7,1,3,6,2,4]=>[7,6,1,3,5,4,2]=>[6,1,3,5,4,2]=>00000 [5,7,1,3,6,4,2]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>00000 [5,7,1,4,2,3,6]=>[7,4,2,1,5,3,6]=>[4,2,1,5,3,6]=>00001 [5,7,1,4,2,6,3]=>[7,4,6,1,5,2,3]=>[4,6,1,5,2,3]=>00000 [5,7,1,4,3,2,6]=>[7,3,4,1,5,2,6]=>[3,4,1,5,2,6]=>00001 [5,7,1,4,3,6,2]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>00000 [5,7,1,4,6,2,3]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>00000 [5,7,1,4,6,3,2]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>00000 [5,7,1,6,2,3,4]=>[7,6,2,3,5,1,4]=>[6,2,3,5,1,4]=>00000 [5,7,1,6,2,4,3]=>[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>00000 [5,7,1,6,3,2,4]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>00000 [5,7,1,6,3,4,2]=>[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>00000 [5,7,1,6,4,2,3]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>00000 [5,7,1,6,4,3,2]=>[7,3,4,6,5,1,2]=>[3,4,6,5,1,2]=>00000 [5,7,2,1,3,4,6]=>[2,7,1,3,5,4,6]=>[2,1,3,5,4,6]=>01101 [5,7,2,1,3,6,4]=>[2,7,1,6,5,3,4]=>[2,1,6,5,3,4]=>01000 [5,7,2,1,4,3,6]=>[2,7,4,1,5,3,6]=>[2,4,1,5,3,6]=>00001 [5,7,2,1,4,6,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>00000 [5,7,2,1,6,3,4]=>[2,7,6,3,5,1,4]=>[2,6,3,5,1,4]=>00000 [5,7,2,1,6,4,3]=>[2,7,4,6,5,1,3]=>[2,4,6,5,1,3]=>00000 [5,7,2,3,1,4,6]=>[3,7,2,1,5,4,6]=>[3,2,1,5,4,6]=>00101 [5,7,2,3,1,6,4]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>00000 [5,7,2,3,4,1,6]=>[4,7,2,3,5,1,6]=>[4,2,3,5,1,6]=>00001 [5,7,2,3,4,6,1]=>[6,7,2,3,5,4,1]=>[6,2,3,5,4,1]=>00000 [5,7,2,3,6,1,4]=>[6,7,2,1,5,3,4]=>[6,2,1,5,3,4]=>00000 [5,7,2,3,6,4,1]=>[4,6,2,7,5,1,3]=>[4,6,2,5,1,3]=>00000 [5,7,2,4,1,3,6]=>[4,7,1,2,5,3,6]=>[4,1,2,5,3,6]=>00001 [5,7,2,4,1,6,3]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>00000 [5,7,2,4,3,1,6]=>[3,4,7,1,5,2,6]=>[3,4,1,5,2,6]=>00001 [5,7,2,4,3,6,1]=>[6,7,4,2,5,3,1]=>[6,4,2,5,3,1]=>00000 [5,7,2,4,6,1,3]=>[6,7,1,3,5,2,4]=>[6,1,3,5,2,4]=>00000 [5,7,2,4,6,3,1]=>[3,6,7,2,5,1,4]=>[3,6,2,5,1,4]=>00000 [5,7,2,6,1,3,4]=>[6,7,1,2,5,4,3]=>[6,1,2,5,4,3]=>00000 [5,7,2,6,1,4,3]=>[6,7,4,1,5,2,3]=>[6,4,1,5,2,3]=>00000 [5,7,2,6,3,1,4]=>[3,6,7,1,5,4,2]=>[3,6,1,5,4,2]=>00000 [5,7,2,6,3,4,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>00000 [5,7,2,6,4,1,3]=>[4,6,1,7,5,3,2]=>[4,6,1,5,3,2]=>00000 [5,7,2,6,4,3,1]=>[3,4,6,7,5,2,1]=>[3,4,6,5,2,1]=>00000 [5,7,3,1,2,4,6]=>[3,1,7,2,5,4,6]=>[3,1,2,5,4,6]=>00101 [5,7,3,1,2,6,4]=>[3,1,7,6,5,2,4]=>[3,1,6,5,2,4]=>00000 [5,7,3,1,4,2,6]=>[3,7,4,2,5,1,6]=>[3,4,2,5,1,6]=>00001 [5,7,3,1,4,6,2]=>[3,7,6,1,5,2,4]=>[3,6,1,5,2,4]=>00000 [5,7,3,1,6,2,4]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>00000 [5,7,3,1,6,4,2]=>[3,7,4,6,5,2,1]=>[3,4,6,5,2,1]=>00000 [5,7,3,2,1,4,6]=>[2,3,7,1,5,4,6]=>[2,3,1,5,4,6]=>00101 [5,7,3,2,1,6,4]=>[2,3,7,6,5,1,4]=>[2,3,6,5,1,4]=>00000 [5,7,3,2,4,1,6]=>[4,3,7,2,5,1,6]=>[4,3,2,5,1,6]=>00001 [5,7,3,2,4,6,1]=>[6,3,7,2,5,4,1]=>[6,3,2,5,4,1]=>00000 [5,7,3,2,6,1,4]=>[6,3,7,1,5,2,4]=>[6,3,1,5,2,4]=>00000 [5,7,3,2,6,4,1]=>[4,3,6,7,5,1,2]=>[4,3,6,5,1,2]=>00000 [5,7,3,4,1,2,6]=>[4,1,7,3,5,2,6]=>[4,1,3,5,2,6]=>00001 [5,7,3,4,1,6,2]=>[4,6,7,3,5,1,2]=>[4,6,3,5,1,2]=>00000 [5,7,3,4,2,1,6]=>[2,4,7,3,5,1,6]=>[2,4,3,5,1,6]=>00001 [5,7,3,4,2,6,1]=>[6,4,7,3,5,2,1]=>[6,4,3,5,2,1]=>00000 [5,7,3,4,6,1,2]=>[6,1,7,3,5,4,2]=>[6,1,3,5,4,2]=>00000 [5,7,3,4,6,2,1]=>[2,6,7,3,5,4,1]=>[2,6,3,5,4,1]=>00000 [5,7,3,6,1,2,4]=>[6,1,7,2,5,3,4]=>[6,1,2,5,3,4]=>00000 [5,7,3,6,1,4,2]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>00000 [5,7,3,6,2,1,4]=>[2,6,7,1,5,3,4]=>[2,6,1,5,3,4]=>00000 [5,7,3,6,2,4,1]=>[4,6,7,2,5,3,1]=>[4,6,2,5,3,1]=>00000 [5,7,3,6,4,1,2]=>[4,1,6,7,5,2,3]=>[4,1,6,5,2,3]=>00000 [5,7,3,6,4,2,1]=>[2,4,6,7,5,1,3]=>[2,4,6,5,1,3]=>00000 [5,7,4,1,2,3,6]=>[4,1,2,7,5,3,6]=>[4,1,2,5,3,6]=>00001 [5,7,4,1,2,6,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>00000 [5,7,4,1,3,2,6]=>[4,3,1,7,5,2,6]=>[4,3,1,5,2,6]=>00001 [5,7,4,1,3,6,2]=>[4,7,1,6,5,2,3]=>[4,1,6,5,2,3]=>00000 [5,7,4,1,6,2,3]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>00000 [5,7,4,1,6,3,2]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>00000 [5,7,4,2,1,3,6]=>[2,4,1,7,5,3,6]=>[2,4,1,5,3,6]=>00001 [5,7,4,2,1,6,3]=>[2,4,7,6,5,3,1]=>[2,4,6,5,3,1]=>00000 [5,7,4,2,3,1,6]=>[3,4,2,7,5,1,6]=>[3,4,2,5,1,6]=>00001 [5,7,4,2,3,6,1]=>[6,4,2,7,5,3,1]=>[6,4,2,5,3,1]=>00000 [5,7,4,2,6,1,3]=>[6,4,1,7,5,2,3]=>[6,4,1,5,2,3]=>00000 [5,7,4,2,6,3,1]=>[3,6,4,7,5,1,2]=>[3,6,4,5,1,2]=>00000 [5,7,4,3,1,2,6]=>[3,1,4,7,5,2,6]=>[3,1,4,5,2,6]=>00001 [5,7,4,3,1,6,2]=>[3,4,7,6,5,1,2]=>[3,4,6,5,1,2]=>00000 [5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6]=>[2,3,4,5,1,6]=>00001 [5,7,4,3,2,6,1]=>[6,3,4,7,5,2,1]=>[6,3,4,5,2,1]=>00000 [5,7,4,3,6,1,2]=>[6,1,4,7,5,3,2]=>[6,1,4,5,3,2]=>00000 [5,7,4,3,6,2,1]=>[2,6,4,7,5,3,1]=>[2,6,4,5,3,1]=>00000 [5,7,4,6,1,2,3]=>[6,1,2,7,5,4,3]=>[6,1,2,5,4,3]=>00000 [5,7,4,6,1,3,2]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>00000 [5,7,4,6,2,1,3]=>[2,6,1,7,5,4,3]=>[2,6,1,5,4,3]=>00000 [5,7,4,6,2,3,1]=>[3,6,2,7,5,4,1]=>[3,6,2,5,4,1]=>00000 [5,7,4,6,3,1,2]=>[3,1,6,7,5,4,2]=>[3,1,6,5,4,2]=>00000 [5,7,4,6,3,2,1]=>[2,3,6,7,5,4,1]=>[2,3,6,5,4,1]=>00000 [5,7,6,1,2,3,4]=>[6,1,2,3,5,7,4]=>[6,1,2,3,5,4]=>00000 [5,7,6,1,2,4,3]=>[6,1,4,2,5,7,3]=>[6,1,4,2,5,3]=>00000 [5,7,6,1,3,2,4]=>[6,3,1,2,5,7,4]=>[6,3,1,2,5,4]=>00000 [5,7,6,1,3,4,2]=>[6,4,1,3,5,7,2]=>[6,4,1,3,5,2]=>00000 [5,7,6,1,4,2,3]=>[6,4,2,1,5,7,3]=>[6,4,2,1,5,3]=>00000 [5,7,6,1,4,3,2]=>[6,3,4,1,5,7,2]=>[6,3,4,1,5,2]=>00000 [5,7,6,2,1,3,4]=>[2,6,1,3,5,7,4]=>[2,6,1,3,5,4]=>00000 [5,7,6,2,1,4,3]=>[2,6,4,1,5,7,3]=>[2,6,4,1,5,3]=>00000 [5,7,6,2,3,1,4]=>[3,6,2,1,5,7,4]=>[3,6,2,1,5,4]=>00000 [5,7,6,2,3,4,1]=>[4,6,2,3,5,7,1]=>[4,6,2,3,5,1]=>00000 [5,7,6,2,4,1,3]=>[4,6,1,2,5,7,3]=>[4,6,1,2,5,3]=>00000 [5,7,6,2,4,3,1]=>[3,4,6,1,5,7,2]=>[3,4,6,1,5,2]=>00000 [5,7,6,3,1,2,4]=>[3,1,6,2,5,7,4]=>[3,1,6,2,5,4]=>00000 [5,7,6,3,1,4,2]=>[3,6,4,2,5,7,1]=>[3,6,4,2,5,1]=>00000 [5,7,6,3,2,1,4]=>[2,3,6,1,5,7,4]=>[2,3,6,1,5,4]=>00000 [5,7,6,3,2,4,1]=>[4,3,6,2,5,7,1]=>[4,3,6,2,5,1]=>00000 [5,7,6,3,4,1,2]=>[4,1,6,3,5,7,2]=>[4,1,6,3,5,2]=>00000 [5,7,6,3,4,2,1]=>[2,4,6,3,5,7,1]=>[2,4,6,3,5,1]=>00000 [5,7,6,4,1,2,3]=>[4,1,2,6,5,7,3]=>[4,1,2,6,5,3]=>00000 [5,7,6,4,1,3,2]=>[4,3,1,6,5,7,2]=>[4,3,1,6,5,2]=>00000 [5,7,6,4,2,1,3]=>[2,4,1,6,5,7,3]=>[2,4,1,6,5,3]=>00000 [5,7,6,4,2,3,1]=>[3,4,2,6,5,7,1]=>[3,4,2,6,5,1]=>00000 [5,7,6,4,3,1,2]=>[3,1,4,6,5,7,2]=>[3,1,4,6,5,2]=>00000 [5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]=>[2,3,4,6,5,1]=>00000 [6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5]=>00000 [6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[6,1,2,3,4,5]=>00000 [6,1,2,3,5,4,7]=>[6,1,2,5,3,4,7]=>[6,1,2,5,3,4]=>00000 [6,1,2,3,5,7,4]=>[6,1,2,7,3,5,4]=>[6,1,2,3,5,4]=>00000 [6,1,2,3,7,4,5]=>[6,1,2,7,4,3,5]=>[6,1,2,4,3,5]=>00000 [6,1,2,3,7,5,4]=>[6,1,2,5,7,3,4]=>[6,1,2,5,3,4]=>00000 [6,1,2,4,3,5,7]=>[6,1,4,2,3,5,7]=>[6,1,4,2,3,5]=>00000 [6,1,2,4,3,7,5]=>[6,1,4,2,7,3,5]=>[6,1,4,2,3,5]=>00000 [6,1,2,4,5,3,7]=>[6,1,5,2,4,3,7]=>[6,1,5,2,4,3]=>00000 [6,1,2,4,5,7,3]=>[6,1,7,2,3,4,5]=>[6,1,2,3,4,5]=>00000 [6,1,2,4,7,3,5]=>[6,1,7,2,4,5,3]=>[6,1,2,4,5,3]=>00000 [6,1,2,4,7,5,3]=>[6,1,5,2,7,4,3]=>[6,1,5,2,4,3]=>00000 [6,1,2,5,3,4,7]=>[6,1,5,3,2,4,7]=>[6,1,5,3,2,4]=>00000 [6,1,2,5,3,7,4]=>[6,1,5,7,2,3,4]=>[6,1,5,2,3,4]=>00000 [6,1,2,5,4,3,7]=>[6,1,4,5,2,3,7]=>[6,1,4,5,2,3]=>00000 [6,1,2,5,4,7,3]=>[6,1,7,5,2,4,3]=>[6,1,5,2,4,3]=>00000 [6,1,2,5,7,3,4]=>[6,1,7,3,2,5,4]=>[6,1,3,2,5,4]=>00000 [6,1,2,5,7,4,3]=>[6,1,4,7,2,5,3]=>[6,1,4,2,5,3]=>00000 [6,1,2,7,3,4,5]=>[6,1,7,3,4,2,5]=>[6,1,3,4,2,5]=>00000 [6,1,2,7,3,5,4]=>[6,1,7,5,3,2,4]=>[6,1,5,3,2,4]=>00000 [6,1,2,7,4,3,5]=>[6,1,4,7,3,2,5]=>[6,1,4,3,2,5]=>00000 [6,1,2,7,4,5,3]=>[6,1,5,7,4,2,3]=>[6,1,5,4,2,3]=>00000 [6,1,2,7,5,3,4]=>[6,1,5,3,7,2,4]=>[6,1,5,3,2,4]=>00000 [6,1,2,7,5,4,3]=>[6,1,4,5,7,2,3]=>[6,1,4,5,2,3]=>00000 [6,1,3,2,4,5,7]=>[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>00000 [6,1,3,2,4,7,5]=>[6,3,1,2,7,4,5]=>[6,3,1,2,4,5]=>00000 [6,1,3,2,5,4,7]=>[6,3,1,5,2,4,7]=>[6,3,1,5,2,4]=>00000 [6,1,3,2,5,7,4]=>[6,3,1,7,2,5,4]=>[6,3,1,2,5,4]=>00000 [6,1,3,2,7,4,5]=>[6,3,1,7,4,2,5]=>[6,3,1,4,2,5]=>00000 [6,1,3,2,7,5,4]=>[6,3,1,5,7,2,4]=>[6,3,1,5,2,4]=>00000 [6,1,3,4,2,5,7]=>[6,4,1,3,2,5,7]=>[6,4,1,3,2,5]=>00000 [6,1,3,4,2,7,5]=>[6,4,1,3,7,2,5]=>[6,4,1,3,2,5]=>00000 [6,1,3,4,5,2,7]=>[6,5,1,2,3,4,7]=>[6,5,1,2,3,4]=>00000 [6,1,3,4,5,7,2]=>[6,7,1,2,3,5,4]=>[6,1,2,3,5,4]=>00000 [6,1,3,4,7,2,5]=>[6,7,1,2,4,3,5]=>[6,1,2,4,3,5]=>00000 [6,1,3,4,7,5,2]=>[6,5,1,2,7,3,4]=>[6,5,1,2,3,4]=>00000 [6,1,3,5,2,4,7]=>[6,5,1,3,4,2,7]=>[6,5,1,3,4,2]=>00000 [6,1,3,5,2,7,4]=>[6,5,1,7,3,2,4]=>[6,5,1,3,2,4]=>00000 [6,1,3,5,4,2,7]=>[6,4,1,5,3,2,7]=>[6,4,1,5,3,2]=>00000 [6,1,3,5,4,7,2]=>[6,7,1,5,2,3,4]=>[6,1,5,2,3,4]=>00000 [6,1,3,5,7,2,4]=>[6,7,1,3,2,4,5]=>[6,1,3,2,4,5]=>00000 [6,1,3,5,7,4,2]=>[6,4,1,7,2,3,5]=>[6,4,1,2,3,5]=>00000 [6,1,3,7,2,4,5]=>[6,7,1,3,4,5,2]=>[6,1,3,4,5,2]=>00000 [6,1,3,7,2,5,4]=>[6,7,1,5,3,4,2]=>[6,1,5,3,4,2]=>00000 [6,1,3,7,4,2,5]=>[6,4,1,7,3,5,2]=>[6,4,1,3,5,2]=>00000 [6,1,3,7,4,5,2]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>00000 [6,1,3,7,5,2,4]=>[6,5,1,3,7,4,2]=>[6,5,1,3,4,2]=>00000 [6,1,3,7,5,4,2]=>[6,4,1,5,7,3,2]=>[6,4,1,5,3,2]=>00000 [6,1,4,2,3,5,7]=>[6,4,2,1,3,5,7]=>[6,4,2,1,3,5]=>00000 [6,1,4,2,3,7,5]=>[6,4,2,1,7,3,5]=>[6,4,2,1,3,5]=>00000 [6,1,4,2,5,3,7]=>[6,4,5,1,2,3,7]=>[6,4,5,1,2,3]=>00000 [6,1,4,2,5,7,3]=>[6,4,7,1,2,5,3]=>[6,4,1,2,5,3]=>00000 [6,1,4,2,7,3,5]=>[6,4,7,1,3,2,5]=>[6,4,1,3,2,5]=>00000 [6,1,4,2,7,5,3]=>[6,4,5,1,7,2,3]=>[6,4,5,1,2,3]=>00000 [6,1,4,3,2,5,7]=>[6,3,4,1,2,5,7]=>[6,3,4,1,2,5]=>00000 [6,1,4,3,2,7,5]=>[6,3,4,1,7,2,5]=>[6,3,4,1,2,5]=>00000 [6,1,4,3,5,2,7]=>[6,5,4,1,3,2,7]=>[6,5,4,1,3,2]=>00000 [6,1,4,3,5,7,2]=>[6,7,4,1,2,3,5]=>[6,4,1,2,3,5]=>00000 [6,1,4,3,7,2,5]=>[6,7,4,1,3,5,2]=>[6,4,1,3,5,2]=>00000 [6,1,4,3,7,5,2]=>[6,5,4,1,7,3,2]=>[6,5,4,1,3,2]=>00000 [6,1,4,5,2,3,7]=>[6,5,2,1,4,3,7]=>[6,5,2,1,4,3]=>00000 [6,1,4,5,2,7,3]=>[6,5,7,1,3,4,2]=>[6,5,1,3,4,2]=>00000 [6,1,4,5,3,2,7]=>[6,3,5,1,4,2,7]=>[6,3,5,1,4,2]=>00000 [6,1,4,5,3,7,2]=>[6,7,5,1,2,4,3]=>[6,5,1,2,4,3]=>00000 [6,1,4,5,7,2,3]=>[6,7,2,1,3,4,5]=>[6,2,1,3,4,5]=>00000 [6,1,4,5,7,3,2]=>[6,3,7,1,2,4,5]=>[6,3,1,2,4,5]=>00000 [6,1,4,7,2,3,5]=>[6,7,2,1,4,5,3]=>[6,2,1,4,5,3]=>00000 [6,1,4,7,2,5,3]=>[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>00000 [6,1,4,7,3,2,5]=>[6,3,7,1,4,5,2]=>[6,3,1,4,5,2]=>00000 [6,1,4,7,3,5,2]=>[6,5,7,1,4,2,3]=>[6,5,1,4,2,3]=>00000 [6,1,4,7,5,2,3]=>[6,5,2,1,7,4,3]=>[6,5,2,1,4,3]=>00000 [6,1,4,7,5,3,2]=>[6,3,5,1,7,4,2]=>[6,3,5,1,4,2]=>00000 [6,1,5,2,3,4,7]=>[6,5,2,3,1,4,7]=>[6,5,2,3,1,4]=>00000 [6,1,5,2,3,7,4]=>[6,5,2,7,1,3,4]=>[6,5,2,1,3,4]=>00000 [6,1,5,2,4,3,7]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,3]=>00000 [6,1,5,2,4,7,3]=>[6,5,7,2,1,4,3]=>[6,5,2,1,4,3]=>00000 [6,1,5,2,7,3,4]=>[6,5,7,3,1,2,4]=>[6,5,3,1,2,4]=>00000 [6,1,5,2,7,4,3]=>[6,5,4,7,1,2,3]=>[6,5,4,1,2,3]=>00000 [6,1,5,3,2,4,7]=>[6,3,5,2,1,4,7]=>[6,3,5,2,1,4]=>00000 [6,1,5,3,2,7,4]=>[6,3,5,7,1,2,4]=>[6,3,5,1,2,4]=>00000 [6,1,5,3,4,2,7]=>[6,4,5,3,1,2,7]=>[6,4,5,3,1,2]=>00000 [6,1,5,3,4,7,2]=>[6,7,5,3,1,4,2]=>[6,5,3,1,4,2]=>00000 [6,1,5,3,7,2,4]=>[6,7,5,2,1,3,4]=>[6,5,2,1,3,4]=>00000 [6,1,5,3,7,4,2]=>[6,4,7,5,1,2,3]=>[6,4,5,1,2,3]=>00000 [6,1,5,4,2,3,7]=>[6,4,2,5,1,3,7]=>[6,4,2,5,1,3]=>00000 [6,1,5,4,2,7,3]=>[6,4,5,7,1,3,2]=>[6,4,5,1,3,2]=>00000 [6,1,5,4,3,2,7]=>[6,3,4,5,1,2,7]=>[6,3,4,5,1,2]=>00000 [6,1,5,4,3,7,2]=>[6,7,4,5,1,3,2]=>[6,4,5,1,3,2]=>00000 [6,1,5,4,7,2,3]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>00000 [6,1,5,4,7,3,2]=>[6,3,7,5,1,4,2]=>[6,3,5,1,4,2]=>00000 [6,1,5,7,2,3,4]=>[6,7,2,3,1,5,4]=>[6,2,3,1,5,4]=>00000 [6,1,5,7,2,4,3]=>[6,7,4,2,1,5,3]=>[6,4,2,1,5,3]=>00000 [6,1,5,7,3,2,4]=>[6,3,7,2,1,5,4]=>[6,3,2,1,5,4]=>00000 [6,1,5,7,3,4,2]=>[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>00000 [6,1,5,7,4,2,3]=>[6,4,2,7,1,5,3]=>[6,4,2,1,5,3]=>00000 [6,1,5,7,4,3,2]=>[6,3,4,7,1,5,2]=>[6,3,4,1,5,2]=>00000 [6,1,7,2,3,4,5]=>[6,7,2,3,4,1,5]=>[6,2,3,4,1,5]=>00000 [6,1,7,2,3,5,4]=>[6,7,2,5,3,1,4]=>[6,2,5,3,1,4]=>00000 [6,1,7,2,4,3,5]=>[6,7,4,2,3,1,5]=>[6,4,2,3,1,5]=>00000 [6,1,7,2,4,5,3]=>[6,7,5,2,4,1,3]=>[6,5,2,4,1,3]=>00000 [6,1,7,2,5,3,4]=>[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>00000 [6,1,7,2,5,4,3]=>[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>00000 [6,1,7,3,2,4,5]=>[6,3,7,2,4,1,5]=>[6,3,2,4,1,5]=>00000 [6,1,7,3,2,5,4]=>[6,3,7,5,2,1,4]=>[6,3,5,2,1,4]=>00000 [6,1,7,3,4,2,5]=>[6,4,7,3,2,1,5]=>[6,4,3,2,1,5]=>00000 [6,1,7,3,4,5,2]=>[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>00000 [6,1,7,3,5,2,4]=>[6,5,7,2,3,1,4]=>[6,5,2,3,1,4]=>00000 [6,1,7,3,5,4,2]=>[6,4,5,7,2,1,3]=>[6,4,5,2,1,3]=>00000 [6,1,7,4,2,3,5]=>[6,4,2,7,3,1,5]=>[6,4,2,3,1,5]=>00000 [6,1,7,4,2,5,3]=>[6,4,7,5,3,1,2]=>[6,4,5,3,1,2]=>00000 [6,1,7,4,3,2,5]=>[6,3,4,7,2,1,5]=>[6,3,4,2,1,5]=>00000 [6,1,7,4,3,5,2]=>[6,5,4,7,3,1,2]=>[6,5,4,3,1,2]=>00000 [6,1,7,4,5,2,3]=>[6,5,2,7,4,1,3]=>[6,5,2,4,1,3]=>00000 [6,1,7,4,5,3,2]=>[6,3,5,7,4,1,2]=>[6,3,5,4,1,2]=>00000 [6,1,7,5,2,3,4]=>[6,5,2,3,7,1,4]=>[6,5,2,3,1,4]=>00000 [6,1,7,5,2,4,3]=>[6,5,4,2,7,1,3]=>[6,5,4,2,1,3]=>00000 [6,1,7,5,3,2,4]=>[6,3,5,2,7,1,4]=>[6,3,5,2,1,4]=>00000 [6,1,7,5,3,4,2]=>[6,4,5,3,7,1,2]=>[6,4,5,3,1,2]=>00000 [6,1,7,5,4,2,3]=>[6,4,2,5,7,1,3]=>[6,4,2,5,1,3]=>00000 [6,1,7,5,4,3,2]=>[6,3,4,5,7,1,2]=>[6,3,4,5,1,2]=>00000 [6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>[2,6,1,3,4,5]=>00000 [6,2,1,3,4,7,5]=>[2,6,1,3,7,4,5]=>[2,6,1,3,4,5]=>00000 [6,2,1,3,5,4,7]=>[2,6,1,5,3,4,7]=>[2,6,1,5,3,4]=>00000 [6,2,1,3,5,7,4]=>[2,6,1,7,3,5,4]=>[2,6,1,3,5,4]=>00000 [6,2,1,3,7,4,5]=>[2,6,1,7,4,3,5]=>[2,6,1,4,3,5]=>00000 [6,2,1,3,7,5,4]=>[2,6,1,5,7,3,4]=>[2,6,1,5,3,4]=>00000 [6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]=>[2,6,4,1,3,5]=>00000 [6,2,1,4,3,7,5]=>[2,6,4,1,7,3,5]=>[2,6,4,1,3,5]=>00000 [6,2,1,4,5,3,7]=>[2,6,5,1,4,3,7]=>[2,6,5,1,4,3]=>00000 [6,2,1,4,5,7,3]=>[2,6,7,1,3,4,5]=>[2,6,1,3,4,5]=>00000 [6,2,1,4,7,3,5]=>[2,6,7,1,4,5,3]=>[2,6,1,4,5,3]=>00000 [6,2,1,4,7,5,3]=>[2,6,5,1,7,4,3]=>[2,6,5,1,4,3]=>00000 [6,2,1,5,3,4,7]=>[2,6,5,3,1,4,7]=>[2,6,5,3,1,4]=>00000 [6,2,1,5,3,7,4]=>[2,6,5,7,1,3,4]=>[2,6,5,1,3,4]=>00000 [6,2,1,5,4,3,7]=>[2,6,4,5,1,3,7]=>[2,6,4,5,1,3]=>00000 [6,2,1,5,4,7,3]=>[2,6,7,5,1,4,3]=>[2,6,5,1,4,3]=>00000 [6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[2,6,3,1,5,4]=>00000 [6,2,1,5,7,4,3]=>[2,6,4,7,1,5,3]=>[2,6,4,1,5,3]=>00000 [6,2,1,7,3,4,5]=>[2,6,7,3,4,1,5]=>[2,6,3,4,1,5]=>00000 [6,2,1,7,3,5,4]=>[2,6,7,5,3,1,4]=>[2,6,5,3,1,4]=>00000 [6,2,1,7,4,3,5]=>[2,6,4,7,3,1,5]=>[2,6,4,3,1,5]=>00000 [6,2,1,7,4,5,3]=>[2,6,5,7,4,1,3]=>[2,6,5,4,1,3]=>00000 [6,2,1,7,5,3,4]=>[2,6,5,3,7,1,4]=>[2,6,5,3,1,4]=>00000 [6,2,1,7,5,4,3]=>[2,6,4,5,7,1,3]=>[2,6,4,5,1,3]=>00000 [6,2,3,1,4,5,7]=>[3,6,2,1,4,5,7]=>[3,6,2,1,4,5]=>00000 [6,2,3,1,4,7,5]=>[3,6,2,1,7,4,5]=>[3,6,2,1,4,5]=>00000 [6,2,3,1,5,4,7]=>[3,6,2,5,1,4,7]=>[3,6,2,5,1,4]=>00000 [6,2,3,1,5,7,4]=>[3,6,2,7,1,5,4]=>[3,6,2,1,5,4]=>00000 [6,2,3,1,7,4,5]=>[3,6,2,7,4,1,5]=>[3,6,2,4,1,5]=>00000 [6,2,3,1,7,5,4]=>[3,6,2,5,7,1,4]=>[3,6,2,5,1,4]=>00000 [6,2,3,4,1,5,7]=>[4,6,2,3,1,5,7]=>[4,6,2,3,1,5]=>00000 [6,2,3,4,1,7,5]=>[4,6,2,3,7,1,5]=>[4,6,2,3,1,5]=>00000 [6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>00000 [6,2,3,4,5,7,1]=>[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>00000 [6,2,3,4,7,1,5]=>[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>00000 [6,2,3,4,7,5,1]=>[5,7,2,3,6,1,4]=>[5,2,3,6,1,4]=>00000 [6,2,3,5,1,4,7]=>[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>00000 [6,2,3,5,1,7,4]=>[5,6,2,7,3,1,4]=>[5,6,2,3,1,4]=>00000 [6,2,3,5,4,1,7]=>[4,5,2,6,1,3,7]=>[4,5,2,6,1,3]=>00000 [6,2,3,5,4,7,1]=>[7,6,2,5,3,4,1]=>[6,2,5,3,4,1]=>00000 [6,2,3,5,7,1,4]=>[7,6,2,1,4,3,5]=>[6,2,1,4,3,5]=>00000 [6,2,3,5,7,4,1]=>[4,7,2,6,3,1,5]=>[4,2,6,3,1,5]=>00000 [6,2,3,7,1,4,5]=>[7,6,2,1,3,5,4]=>[6,2,1,3,5,4]=>00000 [6,2,3,7,1,5,4]=>[7,6,2,5,1,3,4]=>[6,2,5,1,3,4]=>00000 [6,2,3,7,4,1,5]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>00000 [6,2,3,7,4,5,1]=>[5,6,2,7,4,3,1]=>[5,6,2,4,3,1]=>00000 [6,2,3,7,5,1,4]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>00000 [6,2,3,7,5,4,1]=>[4,5,2,7,6,3,1]=>[4,5,2,6,3,1]=>00000 [6,2,4,1,3,5,7]=>[4,6,1,2,3,5,7]=>[4,6,1,2,3,5]=>00000 [6,2,4,1,3,7,5]=>[4,6,1,2,7,3,5]=>[4,6,1,2,3,5]=>00000 [6,2,4,1,5,3,7]=>[4,6,5,2,1,3,7]=>[4,6,5,2,1,3]=>00000 [6,2,4,1,5,7,3]=>[4,6,7,2,1,5,3]=>[4,6,2,1,5,3]=>00000 [6,2,4,1,7,3,5]=>[4,6,7,2,3,1,5]=>[4,6,2,3,1,5]=>00000 [6,2,4,1,7,5,3]=>[4,6,5,2,7,1,3]=>[4,6,5,2,1,3]=>00000 [6,2,4,3,1,5,7]=>[3,4,6,1,2,5,7]=>[3,4,6,1,2,5]=>00000 [6,2,4,3,1,7,5]=>[3,4,6,1,7,2,5]=>[3,4,6,1,2,5]=>00000 [6,2,4,3,5,1,7]=>[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>00000 [6,2,4,3,5,7,1]=>[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>00000 [6,2,4,3,7,1,5]=>[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>00000 [6,2,4,3,7,5,1]=>[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>00000 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[6,2,5,3,1,4,7]=>[3,5,6,1,4,2,7]=>[3,5,6,1,4,2]=>00000 [6,2,5,3,1,7,4]=>[3,5,6,7,1,2,4]=>[3,5,6,1,2,4]=>00000 [6,2,5,3,4,1,7]=>[4,6,5,3,2,1,7]=>[4,6,5,3,2,1]=>00000 [6,2,5,3,4,7,1]=>[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>00000 [6,2,5,3,7,1,4]=>[7,6,5,1,4,2,3]=>[6,5,1,4,2,3]=>00000 [6,2,5,3,7,4,1]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>00000 [6,2,5,4,1,3,7]=>[4,5,1,6,3,2,7]=>[4,5,1,6,3,2]=>00000 [6,2,5,4,1,7,3]=>[4,5,6,7,1,3,2]=>[4,5,6,1,3,2]=>00000 [6,2,5,4,3,1,7]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1]=>00000 [6,2,5,4,3,7,1]=>[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>00000 [6,2,5,4,7,1,3]=>[7,6,1,5,3,2,4]=>[6,1,5,3,2,4]=>00000 [6,2,5,4,7,3,1]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>00000 [6,2,5,7,1,3,4]=>[7,6,1,2,4,5,3]=>[6,1,2,4,5,3]=>00000 [6,2,5,7,1,4,3]=>[7,6,4,1,3,2,5]=>[6,4,1,3,2,5]=>00000 [6,2,5,7,3,1,4]=>[3,7,6,1,4,5,2]=>[3,6,1,4,5,2]=>00000 [6,2,5,7,3,4,1]=>[4,6,7,3,1,2,5]=>[4,6,3,1,2,5]=>00000 [6,2,5,7,4,1,3]=>[4,7,1,6,3,5,2]=>[4,1,6,3,5,2]=>00000 [6,2,5,7,4,3,1]=>[3,4,7,6,2,5,1]=>[3,4,6,2,5,1]=>00000 [6,2,7,1,3,4,5]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>00000 [6,2,7,1,3,5,4]=>[7,6,1,5,2,4,3]=>[6,1,5,2,4,3]=>00000 [6,2,7,1,4,3,5]=>[7,6,4,1,2,5,3]=>[6,4,1,2,5,3]=>00000 [6,2,7,1,4,5,3]=>[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>00000 [6,2,7,1,5,3,4]=>[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>00000 [6,2,7,1,5,4,3]=>[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>00000 [6,2,7,3,1,4,5]=>[3,7,6,1,2,4,5]=>[3,6,1,2,4,5]=>00000 [6,2,7,3,1,5,4]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>00000 [6,2,7,3,4,1,5]=>[4,6,7,3,2,5,1]=>[4,6,3,2,5,1]=>00000 [6,2,7,3,4,5,1]=>[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>00000 [6,2,7,3,5,1,4]=>[5,6,7,1,3,2,4]=>[5,6,1,3,2,4]=>00000 [6,2,7,3,5,4,1]=>[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>00000 [6,2,7,4,1,3,5]=>[4,7,1,6,2,3,5]=>[4,1,6,2,3,5]=>00000 [6,2,7,4,1,5,3]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>00000 [6,2,7,4,3,1,5]=>[3,4,7,6,1,2,5]=>[3,4,6,1,2,5]=>00000 [6,2,7,4,3,5,1]=>[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>00000 [6,2,7,4,5,1,3]=>[5,6,1,7,4,2,3]=>[5,6,1,4,2,3]=>00000 [6,2,7,4,5,3,1]=>[3,5,6,7,4,1,2]=>[3,5,6,4,1,2]=>00000 [6,2,7,5,1,3,4]=>[5,7,1,2,6,3,4]=>[5,1,2,6,3,4]=>00000 [6,2,7,5,1,4,3]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>00000 [6,2,7,5,3,1,4]=>[3,5,7,1,6,2,4]=>[3,5,1,6,2,4]=>00000 [6,2,7,5,3,4,1]=>[4,6,5,3,7,2,1]=>[4,6,5,3,2,1]=>00000 [6,2,7,5,4,1,3]=>[4,5,1,7,6,2,3]=>[4,5,1,6,2,3]=>00000 [6,2,7,5,4,3,1]=>[3,4,5,7,6,1,2]=>[3,4,5,6,1,2]=>00000 [6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]=>[3,1,6,2,4,5]=>00000 [6,3,1,2,4,7,5]=>[3,1,6,2,7,4,5]=>[3,1,6,2,4,5]=>00000 [6,3,1,2,5,4,7]=>[3,1,6,5,2,4,7]=>[3,1,6,5,2,4]=>00000 [6,3,1,2,5,7,4]=>[3,1,6,7,2,5,4]=>[3,1,6,2,5,4]=>00000 [6,3,1,2,7,4,5]=>[3,1,6,7,4,2,5]=>[3,1,6,4,2,5]=>00000 [6,3,1,2,7,5,4]=>[3,1,6,5,7,2,4]=>[3,1,6,5,2,4]=>00000 [6,3,1,4,2,5,7]=>[3,6,4,2,1,5,7]=>[3,6,4,2,1,5]=>00000 [6,3,1,4,2,7,5]=>[3,6,4,2,7,1,5]=>[3,6,4,2,1,5]=>00000 [6,3,1,4,5,2,7]=>[3,6,5,1,2,4,7]=>[3,6,5,1,2,4]=>00000 [6,3,1,4,5,7,2]=>[3,6,7,1,2,5,4]=>[3,6,1,2,5,4]=>00000 [6,3,1,4,7,2,5]=>[3,6,7,1,4,2,5]=>[3,6,1,4,2,5]=>00000 [6,3,1,4,7,5,2]=>[3,6,5,1,7,2,4]=>[3,6,5,1,2,4]=>00000 [6,3,1,5,2,4,7]=>[3,6,5,2,4,1,7]=>[3,6,5,2,4,1]=>00000 [6,3,1,5,2,7,4]=>[3,6,5,7,2,1,4]=>[3,6,5,2,1,4]=>00000 [6,3,1,5,4,2,7]=>[3,6,4,5,2,1,7]=>[3,6,4,5,2,1]=>00000 [6,3,1,5,4,7,2]=>[3,6,7,5,1,2,4]=>[3,6,5,1,2,4]=>00000 [6,3,1,5,7,2,4]=>[3,6,7,2,1,4,5]=>[3,6,2,1,4,5]=>00000 [6,3,1,5,7,4,2]=>[3,6,4,7,1,2,5]=>[3,6,4,1,2,5]=>00000 [6,3,1,7,2,4,5]=>[3,6,7,2,4,5,1]=>[3,6,2,4,5,1]=>00000 [6,3,1,7,2,5,4]=>[3,6,7,5,2,4,1]=>[3,6,5,2,4,1]=>00000 [6,3,1,7,4,2,5]=>[3,6,4,7,2,5,1]=>[3,6,4,2,5,1]=>00000 [6,3,1,7,4,5,2]=>[3,6,5,7,4,2,1]=>[3,6,5,4,2,1]=>00000 [6,3,1,7,5,2,4]=>[3,6,5,2,7,4,1]=>[3,6,5,2,4,1]=>00000 [6,3,1,7,5,4,2]=>[3,6,4,5,7,2,1]=>[3,6,4,5,2,1]=>00000 [6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]=>[2,3,6,1,4,5]=>00000 [6,3,2,1,4,7,5]=>[2,3,6,1,7,4,5]=>[2,3,6,1,4,5]=>00000 [6,3,2,1,5,4,7]=>[2,3,6,5,1,4,7]=>[2,3,6,5,1,4]=>00000 [6,3,2,1,5,7,4]=>[2,3,6,7,1,5,4]=>[2,3,6,1,5,4]=>00000 [6,3,2,1,7,4,5]=>[2,3,6,7,4,1,5]=>[2,3,6,4,1,5]=>00000 [6,3,2,1,7,5,4]=>[2,3,6,5,7,1,4]=>[2,3,6,5,1,4]=>00000 [6,3,2,4,1,5,7]=>[4,3,6,2,1,5,7]=>[4,3,6,2,1,5]=>00000 [6,3,2,4,1,7,5]=>[4,3,6,2,7,1,5]=>[4,3,6,2,1,5]=>00000 [6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]=>[5,3,6,2,4,1]=>00000 [6,3,2,4,5,7,1]=>[7,3,6,2,4,5,1]=>[3,6,2,4,5,1]=>00000 [6,3,2,4,7,1,5]=>[7,3,6,2,1,4,5]=>[3,6,2,1,4,5]=>00000 [6,3,2,4,7,5,1]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>00000 [6,3,2,5,1,4,7]=>[5,3,6,1,2,4,7]=>[5,3,6,1,2,4]=>00000 [6,3,2,5,1,7,4]=>[5,3,6,7,2,1,4]=>[5,3,6,2,1,4]=>00000 [6,3,2,5,4,1,7]=>[4,3,5,6,1,2,7]=>[4,3,5,6,1,2]=>00000 [6,3,2,5,4,7,1]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>00000 [6,3,2,5,7,1,4]=>[7,3,6,1,4,2,5]=>[3,6,1,4,2,5]=>00000 [6,3,2,5,7,4,1]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>00000 [6,3,2,7,1,4,5]=>[7,3,6,1,2,5,4]=>[3,6,1,2,5,4]=>00000 [6,3,2,7,1,5,4]=>[7,3,6,5,1,2,4]=>[3,6,5,1,2,4]=>00000 [6,3,2,7,4,1,5]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>00000 [6,3,2,7,4,5,1]=>[5,3,6,7,4,2,1]=>[5,3,6,4,2,1]=>00000 [6,3,2,7,5,1,4]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>00000 [6,3,2,7,5,4,1]=>[4,3,5,7,6,2,1]=>[4,3,5,6,2,1]=>00000 [6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]=>[4,1,6,3,2,5]=>00000 [6,3,4,1,2,7,5]=>[4,1,6,3,7,2,5]=>[4,1,6,3,2,5]=>00000 [6,3,4,1,5,2,7]=>[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>00000 [6,3,4,1,5,7,2]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>00000 [6,3,4,1,7,2,5]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>00000 [6,3,4,1,7,5,2]=>[4,5,7,3,6,2,1]=>[4,5,3,6,2,1]=>00000 [6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7]=>[2,4,6,3,1,5]=>00000 [6,3,4,2,1,7,5]=>[2,4,6,3,7,1,5]=>[2,4,6,3,1,5]=>00000 [6,3,4,2,5,1,7]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>00000 [6,3,4,2,5,7,1]=>[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>00000 [6,3,4,2,7,1,5]=>[7,4,6,3,1,2,5]=>[4,6,3,1,2,5]=>00000 [6,3,4,2,7,5,1]=>[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>00000 [6,3,4,5,1,2,7]=>[5,1,6,3,4,2,7]=>[5,1,6,3,4,2]=>00000 [6,3,4,5,1,7,2]=>[5,7,6,3,4,1,2]=>[5,6,3,4,1,2]=>00000 [6,3,4,5,2,1,7]=>[2,5,6,3,4,1,7]=>[2,5,6,3,4,1]=>00000 [6,3,4,5,2,7,1]=>[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>00000 [6,3,4,5,7,1,2]=>[7,1,6,3,4,5,2]=>[1,6,3,4,5,2]=>10000 [6,3,4,5,7,2,1]=>[2,7,6,3,4,5,1]=>[2,6,3,4,5,1]=>00000 [6,3,4,7,1,2,5]=>[7,1,6,3,2,4,5]=>[1,6,3,2,4,5]=>10000 [6,3,4,7,1,5,2]=>[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>00000 [6,3,4,7,2,1,5]=>[2,7,6,3,1,4,5]=>[2,6,3,1,4,5]=>00000 [6,3,4,7,2,5,1]=>[5,7,6,3,2,4,1]=>[5,6,3,2,4,1]=>00000 [6,3,4,7,5,1,2]=>[5,1,7,3,6,2,4]=>[5,1,3,6,2,4]=>00000 [6,3,4,7,5,2,1]=>[2,5,7,3,6,1,4]=>[2,5,3,6,1,4]=>00000 [6,3,5,1,2,4,7]=>[5,1,6,2,3,4,7]=>[5,1,6,2,3,4]=>00000 [6,3,5,1,2,7,4]=>[5,1,6,7,3,2,4]=>[5,1,6,3,2,4]=>00000 [6,3,5,1,4,2,7]=>[5,4,6,1,3,2,7]=>[5,4,6,1,3,2]=>00000 [6,3,5,1,4,7,2]=>[5,7,6,1,3,4,2]=>[5,6,1,3,4,2]=>00000 [6,3,5,1,7,2,4]=>[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>00000 [6,3,5,1,7,4,2]=>[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>00000 [6,3,5,2,1,4,7]=>[2,5,6,1,3,4,7]=>[2,5,6,1,3,4]=>00000 [6,3,5,2,1,7,4]=>[2,5,6,7,3,1,4]=>[2,5,6,3,1,4]=>00000 [6,3,5,2,4,1,7]=>[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>00000 [6,3,5,2,4,7,1]=>[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>00000 [6,3,5,2,7,1,4]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>00000 [6,3,5,2,7,4,1]=>[4,7,5,6,2,1,3]=>[4,5,6,2,1,3]=>00000 [6,3,5,4,1,2,7]=>[4,1,5,6,2,3,7]=>[4,1,5,6,2,3]=>00000 [6,3,5,4,1,7,2]=>[4,5,7,6,3,1,2]=>[4,5,6,3,1,2]=>00000 [6,3,5,4,2,1,7]=>[2,4,5,6,1,3,7]=>[2,4,5,6,1,3]=>00000 [6,3,5,4,2,7,1]=>[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>00000 [6,3,5,4,7,1,2]=>[7,1,6,5,3,4,2]=>[1,6,5,3,4,2]=>10000 [6,3,5,4,7,2,1]=>[2,7,6,5,3,4,1]=>[2,6,5,3,4,1]=>00000 [6,3,5,7,1,2,4]=>[7,1,6,2,4,3,5]=>[1,6,2,4,3,5]=>10000 [6,3,5,7,1,4,2]=>[7,4,6,1,3,5,2]=>[4,6,1,3,5,2]=>00000 [6,3,5,7,2,1,4]=>[2,7,6,1,4,3,5]=>[2,6,1,4,3,5]=>00000 [6,3,5,7,2,4,1]=>[4,7,6,2,3,5,1]=>[4,6,2,3,5,1]=>00000 [6,3,5,7,4,1,2]=>[4,1,7,6,3,2,5]=>[4,1,6,3,2,5]=>00000 [6,3,5,7,4,2,1]=>[2,4,7,6,3,1,5]=>[2,4,6,3,1,5]=>00000 [6,3,7,1,2,4,5]=>[7,1,6,2,3,5,4]=>[1,6,2,3,5,4]=>10000 [6,3,7,1,2,5,4]=>[7,1,6,5,2,3,4]=>[1,6,5,2,3,4]=>10000 [6,3,7,1,4,2,5]=>[7,4,6,1,2,3,5]=>[4,6,1,2,3,5]=>00000 [6,3,7,1,4,5,2]=>[7,5,6,1,3,2,4]=>[5,6,1,3,2,4]=>00000 [6,3,7,1,5,2,4]=>[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>00000 [6,3,7,1,5,4,2]=>[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>00000 [6,3,7,2,1,4,5]=>[2,7,6,1,3,5,4]=>[2,6,1,3,5,4]=>00000 [6,3,7,2,1,5,4]=>[2,7,6,5,1,3,4]=>[2,6,5,1,3,4]=>00000 [6,3,7,2,4,1,5]=>[4,7,6,2,1,3,5]=>[4,6,2,1,3,5]=>00000 [6,3,7,2,4,5,1]=>[5,7,6,2,3,1,4]=>[5,6,2,3,1,4]=>00000 [6,3,7,2,5,1,4]=>[5,7,6,1,2,3,4]=>[5,6,1,2,3,4]=>00000 [6,3,7,2,5,4,1]=>[4,5,7,6,1,2,3]=>[4,5,6,1,2,3]=>00000 [6,3,7,4,1,2,5]=>[4,1,7,6,2,5,3]=>[4,1,6,2,5,3]=>00000 [6,3,7,4,1,5,2]=>[4,7,5,6,1,3,2]=>[4,5,6,1,3,2]=>00000 [6,3,7,4,2,1,5]=>[2,4,7,6,1,5,3]=>[2,4,6,1,5,3]=>00000 [6,3,7,4,2,5,1]=>[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>00000 [6,3,7,4,5,1,2]=>[5,1,6,7,4,3,2]=>[5,1,6,4,3,2]=>00000 [6,3,7,4,5,2,1]=>[2,5,6,7,4,3,1]=>[2,5,6,4,3,1]=>00000 [6,3,7,5,1,2,4]=>[5,1,7,2,6,4,3]=>[5,1,2,6,4,3]=>00000 [6,3,7,5,1,4,2]=>[5,4,7,1,6,2,3]=>[5,4,1,6,2,3]=>00000 [6,3,7,5,2,1,4]=>[2,5,7,1,6,4,3]=>[2,5,1,6,4,3]=>00000 [6,3,7,5,2,4,1]=>[4,5,7,2,6,1,3]=>[4,5,2,6,1,3]=>00000 [6,3,7,5,4,1,2]=>[4,1,5,7,6,3,2]=>[4,1,5,6,3,2]=>00000 [6,3,7,5,4,2,1]=>[2,4,5,7,6,3,1]=>[2,4,5,6,3,1]=>00000 [6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]=>[4,1,2,6,3,5]=>00000 [6,4,1,2,3,7,5]=>[4,1,2,6,7,3,5]=>[4,1,2,6,3,5]=>00000 [6,4,1,2,5,3,7]=>[4,1,6,5,3,2,7]=>[4,1,6,5,3,2]=>00000 [6,4,1,2,5,7,3]=>[4,1,6,7,2,3,5]=>[4,1,6,2,3,5]=>00000 [6,4,1,2,7,3,5]=>[4,1,6,7,3,5,2]=>[4,1,6,3,5,2]=>00000 [6,4,1,2,7,5,3]=>[4,1,6,5,7,3,2]=>[4,1,6,5,3,2]=>00000 [6,4,1,3,2,5,7]=>[4,3,1,6,2,5,7]=>[4,3,1,6,2,5]=>00000 [6,4,1,3,2,7,5]=>[4,3,1,6,7,2,5]=>[4,3,1,6,2,5]=>00000 [6,4,1,3,5,2,7]=>[4,6,1,5,2,3,7]=>[4,6,1,5,2,3]=>00000 [6,4,1,3,5,7,2]=>[4,6,1,7,2,5,3]=>[4,6,1,2,5,3]=>00000 [6,4,1,3,7,2,5]=>[4,6,1,7,3,2,5]=>[4,6,1,3,2,5]=>00000 [6,4,1,3,7,5,2]=>[4,6,1,5,7,2,3]=>[4,6,1,5,2,3]=>00000 [6,4,1,5,2,3,7]=>[4,6,2,5,3,1,7]=>[4,6,2,5,3,1]=>00000 [6,4,1,5,2,7,3]=>[4,6,5,7,1,2,3]=>[4,6,5,1,2,3]=>00000 [6,4,1,5,3,2,7]=>[4,3,6,5,2,1,7]=>[4,3,6,5,2,1]=>00000 [6,4,1,5,3,7,2]=>[4,6,7,5,2,1,3]=>[4,6,5,2,1,3]=>00000 [6,4,1,5,7,2,3]=>[4,6,2,7,1,3,5]=>[4,6,2,1,3,5]=>00000 [6,4,1,5,7,3,2]=>[4,3,6,7,1,2,5]=>[4,3,6,1,2,5]=>00000 [6,4,1,7,2,3,5]=>[4,6,2,7,3,5,1]=>[4,6,2,3,5,1]=>00000 [6,4,1,7,2,5,3]=>[4,6,7,5,3,2,1]=>[4,6,5,3,2,1]=>00000 [6,4,1,7,3,2,5]=>[4,3,6,7,2,5,1]=>[4,3,6,2,5,1]=>00000 [6,4,1,7,3,5,2]=>[4,6,5,7,2,3,1]=>[4,6,5,2,3,1]=>00000 [6,4,1,7,5,2,3]=>[4,6,2,5,7,3,1]=>[4,6,2,5,3,1]=>00000 [6,4,1,7,5,3,2]=>[4,3,6,5,7,2,1]=>[4,3,6,5,2,1]=>00000 [6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>[2,4,1,6,3,5]=>00000 [6,4,2,1,3,7,5]=>[2,4,1,6,7,3,5]=>[2,4,1,6,3,5]=>00000 [6,4,2,1,5,3,7]=>[2,4,6,5,3,1,7]=>[2,4,6,5,3,1]=>00000 [6,4,2,1,5,7,3]=>[2,4,6,7,1,3,5]=>[2,4,6,1,3,5]=>00000 [6,4,2,1,7,3,5]=>[2,4,6,7,3,5,1]=>[2,4,6,3,5,1]=>00000 [6,4,2,1,7,5,3]=>[2,4,6,5,7,3,1]=>[2,4,6,5,3,1]=>00000 [6,4,2,3,1,5,7]=>[3,4,2,6,1,5,7]=>[3,4,2,6,1,5]=>00000 [6,4,2,3,1,7,5]=>[3,4,2,6,7,1,5]=>[3,4,2,6,1,5]=>00000 [6,4,2,3,5,1,7]=>[5,4,2,6,3,1,7]=>[5,4,2,6,3,1]=>00000 [6,4,2,3,5,7,1]=>[7,4,2,6,3,5,1]=>[4,2,6,3,5,1]=>00000 [6,4,2,3,7,1,5]=>[7,4,2,6,1,3,5]=>[4,2,6,1,3,5]=>00000 [6,4,2,3,7,5,1]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>00000 [6,4,2,5,1,3,7]=>[5,4,1,6,2,3,7]=>[5,4,1,6,2,3]=>00000 [6,4,2,5,1,7,3]=>[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>00000 [6,4,2,5,3,1,7]=>[3,5,4,6,1,2,7]=>[3,5,4,6,1,2]=>00000 [6,4,2,5,3,7,1]=>[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>00000 [6,4,2,5,7,1,3]=>[7,4,1,6,3,2,5]=>[4,1,6,3,2,5]=>00000 [6,4,2,5,7,3,1]=>[3,7,4,6,2,1,5]=>[3,4,6,2,1,5]=>00000 [6,4,2,7,1,3,5]=>[7,4,1,6,2,5,3]=>[4,1,6,2,5,3]=>00000 [6,4,2,7,1,5,3]=>[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>00000 [6,4,2,7,3,1,5]=>[3,7,4,6,1,5,2]=>[3,4,6,1,5,2]=>00000 [6,4,2,7,3,5,1]=>[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>00000 [6,4,2,7,5,1,3]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>00000 [6,4,2,7,5,3,1]=>[3,5,4,7,6,2,1]=>[3,5,4,6,2,1]=>00000 [6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]=>[3,1,4,6,2,5]=>00000 [6,4,3,1,2,7,5]=>[3,1,4,6,7,2,5]=>[3,1,4,6,2,5]=>00000 [6,4,3,1,5,2,7]=>[3,4,6,5,1,2,7]=>[3,4,6,5,1,2]=>00000 [6,4,3,1,5,7,2]=>[3,4,6,7,1,5,2]=>[3,4,6,1,5,2]=>00000 [6,4,3,1,7,2,5]=>[3,4,6,7,2,1,5]=>[3,4,6,2,1,5]=>00000 [6,4,3,1,7,5,2]=>[3,4,6,5,7,1,2]=>[3,4,6,5,1,2]=>00000 [6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]=>[2,3,4,6,1,5]=>00000 [6,4,3,2,1,7,5]=>[2,3,4,6,7,1,5]=>[2,3,4,6,1,5]=>00000 [6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>00000 [6,4,3,2,5,7,1]=>[7,3,4,6,2,5,1]=>[3,4,6,2,5,1]=>00000 [6,4,3,2,7,1,5]=>[7,3,4,6,1,2,5]=>[3,4,6,1,2,5]=>00000 [6,4,3,2,7,5,1]=>[5,3,4,7,6,1,2]=>[5,3,4,6,1,2]=>00000 [6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]=>[5,1,4,6,3,2]=>00000 [6,4,3,5,1,7,2]=>[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>00000 [6,4,3,5,2,1,7]=>[2,5,4,6,3,1,7]=>[2,5,4,6,3,1]=>00000 [6,4,3,5,2,7,1]=>[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>00000 [6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2]=>[1,4,6,3,5,2]=>10000 [6,4,3,5,7,2,1]=>[2,7,4,6,3,5,1]=>[2,4,6,3,5,1]=>00000 [6,4,3,7,1,2,5]=>[7,1,4,6,2,3,5]=>[1,4,6,2,3,5]=>10000 [6,4,3,7,1,5,2]=>[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>00000 [6,4,3,7,2,1,5]=>[2,7,4,6,1,3,5]=>[2,4,6,1,3,5]=>00000 [6,4,3,7,2,5,1]=>[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>00000 [6,4,3,7,5,1,2]=>[5,1,4,7,6,2,3]=>[5,1,4,6,2,3]=>00000 [6,4,3,7,5,2,1]=>[2,5,4,7,6,1,3]=>[2,5,4,6,1,3]=>00000 [6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]=>[5,1,2,6,4,3]=>00000 [6,4,5,1,2,7,3]=>[5,1,7,6,4,2,3]=>[5,1,6,4,2,3]=>00000 [6,4,5,1,3,2,7]=>[5,3,1,6,4,2,7]=>[5,3,1,6,4,2]=>00000 [6,4,5,1,3,7,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>00000 [6,4,5,1,7,2,3]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>00000 [6,4,5,1,7,3,2]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>00000 [6,4,5,2,1,3,7]=>[2,5,1,6,4,3,7]=>[2,5,1,6,4,3]=>00000 [6,4,5,2,1,7,3]=>[2,5,7,6,4,1,3]=>[2,5,6,4,1,3]=>00000 [6,4,5,2,3,1,7]=>[3,5,2,6,4,1,7]=>[3,5,2,6,4,1]=>00000 [6,4,5,2,3,7,1]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>00000 [6,4,5,2,7,1,3]=>[7,5,1,6,4,2,3]=>[5,1,6,4,2,3]=>00000 [6,4,5,2,7,3,1]=>[3,7,5,6,4,1,2]=>[3,5,6,4,1,2]=>00000 [6,4,5,3,1,2,7]=>[3,1,5,6,4,2,7]=>[3,1,5,6,4,2]=>00000 [6,4,5,3,1,7,2]=>[3,5,7,6,4,2,1]=>[3,5,6,4,2,1]=>00000 [6,4,5,3,2,1,7]=>[2,3,5,6,4,1,7]=>[2,3,5,6,4,1]=>00000 [6,4,5,3,2,7,1]=>[7,3,5,6,4,2,1]=>[3,5,6,4,2,1]=>00000 [6,4,5,3,7,1,2]=>[7,1,5,6,4,3,2]=>[1,5,6,4,3,2]=>10000 [6,4,5,3,7,2,1]=>[2,7,5,6,4,3,1]=>[2,5,6,4,3,1]=>00000 [6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]=>[1,2,6,4,5,3]=>11000 [6,4,5,7,1,3,2]=>[7,3,1,6,4,5,2]=>[3,1,6,4,5,2]=>00000 [6,4,5,7,2,1,3]=>[2,7,1,6,4,5,3]=>[2,1,6,4,5,3]=>01000 [6,4,5,7,2,3,1]=>[3,7,2,6,4,5,1]=>[3,2,6,4,5,1]=>00000 [6,4,5,7,3,1,2]=>[3,1,7,6,4,5,2]=>[3,1,6,4,5,2]=>00000 [6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1]=>[2,3,6,4,5,1]=>00000 [6,4,7,1,2,3,5]=>[7,1,2,6,3,4,5]=>[1,2,6,3,4,5]=>11000 [6,4,7,1,2,5,3]=>[7,1,5,6,2,4,3]=>[1,5,6,2,4,3]=>10000 [6,4,7,1,3,2,5]=>[7,3,1,6,2,4,5]=>[3,1,6,2,4,5]=>00000 [6,4,7,1,3,5,2]=>[7,5,1,6,3,4,2]=>[5,1,6,3,4,2]=>00000 [6,4,7,1,5,2,3]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>00000 [6,4,7,1,5,3,2]=>[7,3,5,6,1,4,2]=>[3,5,6,1,4,2]=>00000 [6,4,7,2,1,3,5]=>[2,7,1,6,3,4,5]=>[2,1,6,3,4,5]=>01000 [6,4,7,2,1,5,3]=>[2,7,5,6,1,4,3]=>[2,5,6,1,4,3]=>00000 [6,4,7,2,3,1,5]=>[3,7,2,6,1,4,5]=>[3,2,6,1,4,5]=>00000 [6,4,7,2,3,5,1]=>[5,7,2,6,3,4,1]=>[5,2,6,3,4,1]=>00000 [6,4,7,2,5,1,3]=>[5,7,1,6,2,4,3]=>[5,1,6,2,4,3]=>00000 [6,4,7,2,5,3,1]=>[3,5,7,6,1,4,2]=>[3,5,6,1,4,2]=>00000 [6,4,7,3,1,2,5]=>[3,1,7,6,2,4,5]=>[3,1,6,2,4,5]=>00000 [6,4,7,3,1,5,2]=>[3,7,5,6,2,4,1]=>[3,5,6,2,4,1]=>00000 [6,4,7,3,2,1,5]=>[2,3,7,6,1,4,5]=>[2,3,6,1,4,5]=>00000 [6,4,7,3,2,5,1]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>00000 [6,4,7,3,5,1,2]=>[5,1,7,6,3,4,2]=>[5,1,6,3,4,2]=>00000 [6,4,7,3,5,2,1]=>[2,5,7,6,3,4,1]=>[2,5,6,3,4,1]=>00000 [6,4,7,5,1,2,3]=>[5,1,2,7,6,3,4]=>[5,1,2,6,3,4]=>00000 [6,4,7,5,1,3,2]=>[5,3,1,7,6,2,4]=>[5,3,1,6,2,4]=>00000 [6,4,7,5,2,1,3]=>[2,5,1,7,6,3,4]=>[2,5,1,6,3,4]=>00000 [6,4,7,5,2,3,1]=>[3,5,2,7,6,1,4]=>[3,5,2,6,1,4]=>00000 [6,4,7,5,3,1,2]=>[3,1,5,7,6,2,4]=>[3,1,5,6,2,4]=>00000 [6,4,7,5,3,2,1]=>[2,3,5,7,6,1,4]=>[2,3,5,6,1,4]=>00000 [6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]=>[5,1,2,3,6,4]=>00000 [6,5,1,2,3,7,4]=>[5,1,2,6,7,4,3]=>[5,1,2,6,4,3]=>00000 [6,5,1,2,4,3,7]=>[5,1,4,2,6,3,7]=>[5,1,4,2,6,3]=>00000 [6,5,1,2,4,7,3]=>[5,1,6,2,7,3,4]=>[5,1,6,2,3,4]=>00000 [6,5,1,2,7,3,4]=>[5,1,6,3,7,4,2]=>[5,1,6,3,4,2]=>00000 [6,5,1,2,7,4,3]=>[5,1,4,6,7,3,2]=>[5,1,4,6,3,2]=>00000 [6,5,1,3,2,4,7]=>[5,3,1,2,6,4,7]=>[5,3,1,2,6,4]=>00000 [6,5,1,3,2,7,4]=>[5,3,1,6,7,4,2]=>[5,3,1,6,4,2]=>00000 [6,5,1,3,4,2,7]=>[5,4,1,3,6,2,7]=>[5,4,1,3,6,2]=>00000 [6,5,1,3,4,7,2]=>[5,6,1,2,7,4,3]=>[5,6,1,2,4,3]=>00000 [6,5,1,3,7,2,4]=>[5,6,1,3,7,2,4]=>[5,6,1,3,2,4]=>00000 [6,5,1,3,7,4,2]=>[5,4,1,6,7,2,3]=>[5,4,1,6,2,3]=>00000 [6,5,1,4,2,3,7]=>[5,4,2,1,6,3,7]=>[5,4,2,1,6,3]=>00000 [6,5,1,4,2,7,3]=>[5,4,6,1,7,3,2]=>[5,4,6,1,3,2]=>00000 [6,5,1,4,3,2,7]=>[5,3,4,1,6,2,7]=>[5,3,4,1,6,2]=>00000 [6,5,1,4,3,7,2]=>[5,6,4,1,7,2,3]=>[5,6,4,1,2,3]=>00000 [6,5,1,4,7,2,3]=>[5,6,2,1,7,3,4]=>[5,6,2,1,3,4]=>00000 [6,5,1,4,7,3,2]=>[5,3,6,1,7,2,4]=>[5,3,6,1,2,4]=>00000 [6,5,1,7,2,3,4]=>[5,6,2,3,7,4,1]=>[5,6,2,3,4,1]=>00000 [6,5,1,7,2,4,3]=>[5,6,4,2,7,3,1]=>[5,6,4,2,3,1]=>00000 [6,5,1,7,3,2,4]=>[5,3,6,2,7,4,1]=>[5,3,6,2,4,1]=>00000 [6,5,1,7,3,4,2]=>[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>00000 [6,5,1,7,4,2,3]=>[5,4,2,6,7,3,1]=>[5,4,2,6,3,1]=>00000 [6,5,1,7,4,3,2]=>[5,3,4,6,7,2,1]=>[5,3,4,6,2,1]=>00000 [6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]=>[2,5,1,3,6,4]=>00000 [6,5,2,1,3,7,4]=>[2,5,1,6,7,4,3]=>[2,5,1,6,4,3]=>00000 [6,5,2,1,4,3,7]=>[2,5,4,1,6,3,7]=>[2,5,4,1,6,3]=>00000 [6,5,2,1,4,7,3]=>[2,5,6,1,7,3,4]=>[2,5,6,1,3,4]=>00000 [6,5,2,1,7,3,4]=>[2,5,6,3,7,4,1]=>[2,5,6,3,4,1]=>00000 [6,5,2,1,7,4,3]=>[2,5,4,6,7,3,1]=>[2,5,4,6,3,1]=>00000 [6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7]=>[3,5,2,1,6,4]=>00000 [6,5,2,3,1,7,4]=>[3,5,2,6,7,4,1]=>[3,5,2,6,4,1]=>00000 [6,5,2,3,4,1,7]=>[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>00000 [6,5,2,3,4,7,1]=>[7,5,2,3,6,4,1]=>[5,2,3,6,4,1]=>00000 [6,5,2,3,7,1,4]=>[7,5,2,1,6,3,4]=>[5,2,1,6,3,4]=>00000 [6,5,2,3,7,4,1]=>[4,7,2,5,6,1,3]=>[4,2,5,6,1,3]=>00000 [6,5,2,4,1,3,7]=>[4,5,1,2,6,3,7]=>[4,5,1,2,6,3]=>00000 [6,5,2,4,1,7,3]=>[4,5,6,2,7,3,1]=>[4,5,6,2,3,1]=>00000 [6,5,2,4,3,1,7]=>[3,4,5,1,6,2,7]=>[3,4,5,1,6,2]=>00000 [6,5,2,4,3,7,1]=>[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>00000 [6,5,2,4,7,1,3]=>[7,5,1,3,6,2,4]=>[5,1,3,6,2,4]=>00000 [6,5,2,4,7,3,1]=>[3,7,5,2,6,1,4]=>[3,5,2,6,1,4]=>00000 [6,5,2,7,1,3,4]=>[7,5,1,2,6,4,3]=>[5,1,2,6,4,3]=>00000 [6,5,2,7,1,4,3]=>[7,5,4,1,6,2,3]=>[5,4,1,6,2,3]=>00000 [6,5,2,7,3,1,4]=>[3,7,5,1,6,4,2]=>[3,5,1,6,4,2]=>00000 [6,5,2,7,3,4,1]=>[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>00000 [6,5,2,7,4,1,3]=>[4,7,1,5,6,3,2]=>[4,1,5,6,3,2]=>00000 [6,5,2,7,4,3,1]=>[3,4,7,5,6,2,1]=>[3,4,5,6,2,1]=>00000 [6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]=>[3,1,5,2,6,4]=>00000 [6,5,3,1,2,7,4]=>[3,1,5,6,7,4,2]=>[3,1,5,6,4,2]=>00000 [6,5,3,1,4,2,7]=>[3,5,4,2,6,1,7]=>[3,5,4,2,6,1]=>00000 [6,5,3,1,4,7,2]=>[3,5,6,1,7,4,2]=>[3,5,6,1,4,2]=>00000 [6,5,3,1,7,2,4]=>[3,5,6,2,7,1,4]=>[3,5,6,2,1,4]=>00000 [6,5,3,1,7,4,2]=>[3,5,4,6,7,1,2]=>[3,5,4,6,1,2]=>00000 [6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]=>[2,3,5,1,6,4]=>00000 [6,5,3,2,1,7,4]=>[2,3,5,6,7,4,1]=>[2,3,5,6,4,1]=>00000 [6,5,3,2,4,1,7]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1]=>00000 [6,5,3,2,4,7,1]=>[7,3,5,2,6,4,1]=>[3,5,2,6,4,1]=>00000 [6,5,3,2,7,1,4]=>[7,3,5,1,6,2,4]=>[3,5,1,6,2,4]=>00000 [6,5,3,2,7,4,1]=>[4,3,7,5,6,1,2]=>[4,3,5,6,1,2]=>00000 [6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]=>[4,1,5,3,6,2]=>00000 [6,5,3,4,1,7,2]=>[4,7,5,3,6,1,2]=>[4,5,3,6,1,2]=>00000 [6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]=>[2,4,5,3,6,1]=>00000 [6,5,3,4,2,7,1]=>[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>00000 [6,5,3,4,7,1,2]=>[7,1,5,3,6,4,2]=>[1,5,3,6,4,2]=>10000 [6,5,3,4,7,2,1]=>[2,7,5,3,6,4,1]=>[2,5,3,6,4,1]=>00000 [6,5,3,7,1,2,4]=>[7,1,5,2,6,3,4]=>[1,5,2,6,3,4]=>10000 [6,5,3,7,1,4,2]=>[7,4,5,1,6,3,2]=>[4,5,1,6,3,2]=>00000 [6,5,3,7,2,1,4]=>[2,7,5,1,6,3,4]=>[2,5,1,6,3,4]=>00000 [6,5,3,7,2,4,1]=>[4,7,5,2,6,3,1]=>[4,5,2,6,3,1]=>00000 [6,5,3,7,4,1,2]=>[4,1,7,5,6,2,3]=>[4,1,5,6,2,3]=>00000 [6,5,3,7,4,2,1]=>[2,4,7,5,6,1,3]=>[2,4,5,6,1,3]=>00000 [6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]=>[4,1,2,5,6,3]=>00000 [6,5,4,1,2,7,3]=>[4,1,5,6,7,2,3]=>[4,1,5,6,2,3]=>00000 [6,5,4,1,3,2,7]=>[4,3,1,5,6,2,7]=>[4,3,1,5,6,2]=>00000 [6,5,4,1,3,7,2]=>[4,5,1,6,7,3,2]=>[4,5,1,6,3,2]=>00000 [6,5,4,1,7,2,3]=>[4,5,2,6,7,1,3]=>[4,5,2,6,1,3]=>00000 [6,5,4,1,7,3,2]=>[4,3,5,6,7,1,2]=>[4,3,5,6,1,2]=>00000 [6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]=>[2,4,1,5,6,3]=>00000 [6,5,4,2,1,7,3]=>[2,4,5,6,7,1,3]=>[2,4,5,6,1,3]=>00000 [6,5,4,2,3,1,7]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1]=>00000 [6,5,4,2,3,7,1]=>[7,4,2,5,6,3,1]=>[4,2,5,6,3,1]=>00000 [6,5,4,2,7,1,3]=>[7,4,1,5,6,2,3]=>[4,1,5,6,2,3]=>00000 [6,5,4,2,7,3,1]=>[3,7,4,5,6,1,2]=>[3,4,5,6,1,2]=>00000 [6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]=>[3,1,4,5,6,2]=>00000 [6,5,4,3,1,7,2]=>[3,4,5,6,7,2,1]=>[3,4,5,6,2,1]=>00000 [6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1]=>00000 [6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]=>[3,4,5,6,2,1]=>00000 [6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]=>[1,4,5,6,3,2]=>10000 [6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]=>[2,4,5,6,3,1]=>00000 [6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]=>[1,2,5,6,4,3]=>11000 [6,5,4,7,1,3,2]=>[7,3,1,5,6,4,2]=>[3,1,5,6,4,2]=>00000 [6,5,4,7,2,1,3]=>[2,7,1,5,6,4,3]=>[2,1,5,6,4,3]=>01000 [6,5,4,7,2,3,1]=>[3,7,2,5,6,4,1]=>[3,2,5,6,4,1]=>00000 [6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2]=>[3,1,5,6,4,2]=>00000 [6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]=>[2,3,5,6,4,1]=>00000 [6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]=>[1,2,3,6,5,4]=>11100 [6,5,7,1,2,4,3]=>[7,1,4,2,6,5,3]=>[1,4,2,6,5,3]=>10000 [6,5,7,1,3,2,4]=>[7,3,1,2,6,5,4]=>[3,1,2,6,5,4]=>00100 [6,5,7,1,3,4,2]=>[7,4,1,3,6,5,2]=>[4,1,3,6,5,2]=>00000 [6,5,7,1,4,2,3]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>00000 [6,5,7,1,4,3,2]=>[7,3,4,1,6,5,2]=>[3,4,1,6,5,2]=>00000 [6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4]=>[2,1,3,6,5,4]=>01100 [6,5,7,2,1,4,3]=>[2,7,4,1,6,5,3]=>[2,4,1,6,5,3]=>00000 [6,5,7,2,3,1,4]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>00100 [6,5,7,2,3,4,1]=>[4,7,2,3,6,5,1]=>[4,2,3,6,5,1]=>00000 [6,5,7,2,4,1,3]=>[4,7,1,2,6,5,3]=>[4,1,2,6,5,3]=>00000 [6,5,7,2,4,3,1]=>[3,4,7,1,6,5,2]=>[3,4,1,6,5,2]=>00000 [6,5,7,3,1,2,4]=>[3,1,7,2,6,5,4]=>[3,1,2,6,5,4]=>00100 [6,5,7,3,1,4,2]=>[3,7,4,2,6,5,1]=>[3,4,2,6,5,1]=>00000 [6,5,7,3,2,1,4]=>[2,3,7,1,6,5,4]=>[2,3,1,6,5,4]=>00100 [6,5,7,3,2,4,1]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>00000 [6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2]=>[4,1,3,6,5,2]=>00000 [6,5,7,3,4,2,1]=>[2,4,7,3,6,5,1]=>[2,4,3,6,5,1]=>00000 [6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3]=>[4,1,2,6,5,3]=>00000 [6,5,7,4,1,3,2]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>00000 [6,5,7,4,2,1,3]=>[2,4,1,7,6,5,3]=>[2,4,1,6,5,3]=>00000 [6,5,7,4,2,3,1]=>[3,4,2,7,6,5,1]=>[3,4,2,6,5,1]=>00000 [6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2]=>[3,1,4,6,5,2]=>00000 [6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]=>[2,3,4,6,5,1]=>00000 [6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>[1,2,3,4,6,5]=>11110 [6,7,1,2,3,5,4]=>[7,1,2,5,3,6,4]=>[1,2,5,3,6,4]=>11000 [6,7,1,2,4,3,5]=>[7,1,4,2,3,6,5]=>[1,4,2,3,6,5]=>10010 [6,7,1,2,4,5,3]=>[7,1,5,2,4,6,3]=>[1,5,2,4,6,3]=>10000 [6,7,1,2,5,3,4]=>[7,1,5,3,2,6,4]=>[1,5,3,2,6,4]=>10000 [6,7,1,2,5,4,3]=>[7,1,4,5,2,6,3]=>[1,4,5,2,6,3]=>10000 [6,7,1,3,2,4,5]=>[7,3,1,2,4,6,5]=>[3,1,2,4,6,5]=>00110 [6,7,1,3,2,5,4]=>[7,3,1,5,2,6,4]=>[3,1,5,2,6,4]=>00000 [6,7,1,3,4,2,5]=>[7,4,1,3,2,6,5]=>[4,1,3,2,6,5]=>00010 [6,7,1,3,4,5,2]=>[7,5,1,2,3,6,4]=>[5,1,2,3,6,4]=>00000 [6,7,1,3,5,2,4]=>[7,5,1,3,4,6,2]=>[5,1,3,4,6,2]=>00000 [6,7,1,3,5,4,2]=>[7,4,1,5,3,6,2]=>[4,1,5,3,6,2]=>00000 [6,7,1,4,2,3,5]=>[7,4,2,1,3,6,5]=>[4,2,1,3,6,5]=>00010 [6,7,1,4,2,5,3]=>[7,4,5,1,2,6,3]=>[4,5,1,2,6,3]=>00000 [6,7,1,4,3,2,5]=>[7,3,4,1,2,6,5]=>[3,4,1,2,6,5]=>00010 [6,7,1,4,3,5,2]=>[7,5,4,1,3,6,2]=>[5,4,1,3,6,2]=>00000 [6,7,1,4,5,2,3]=>[7,5,2,1,4,6,3]=>[5,2,1,4,6,3]=>00000 [6,7,1,4,5,3,2]=>[7,3,5,1,4,6,2]=>[3,5,1,4,6,2]=>00000 [6,7,1,5,2,3,4]=>[7,5,2,3,1,6,4]=>[5,2,3,1,6,4]=>00000 [6,7,1,5,2,4,3]=>[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>00000 [6,7,1,5,3,2,4]=>[7,3,5,2,1,6,4]=>[3,5,2,1,6,4]=>00000 [6,7,1,5,3,4,2]=>[7,4,5,3,1,6,2]=>[4,5,3,1,6,2]=>00000 [6,7,1,5,4,2,3]=>[7,4,2,5,1,6,3]=>[4,2,5,1,6,3]=>00000 [6,7,1,5,4,3,2]=>[7,3,4,5,1,6,2]=>[3,4,5,1,6,2]=>00000 [6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]=>[2,1,3,4,6,5]=>01110 [6,7,2,1,3,5,4]=>[2,7,1,5,3,6,4]=>[2,1,5,3,6,4]=>01000 [6,7,2,1,4,3,5]=>[2,7,4,1,3,6,5]=>[2,4,1,3,6,5]=>00010 [6,7,2,1,4,5,3]=>[2,7,5,1,4,6,3]=>[2,5,1,4,6,3]=>00000 [6,7,2,1,5,3,4]=>[2,7,5,3,1,6,4]=>[2,5,3,1,6,4]=>00000 [6,7,2,1,5,4,3]=>[2,7,4,5,1,6,3]=>[2,4,5,1,6,3]=>00000 [6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5]=>[3,2,1,4,6,5]=>00110 [6,7,2,3,1,5,4]=>[3,7,2,5,1,6,4]=>[3,2,5,1,6,4]=>00000 [6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5]=>[4,2,3,1,6,5]=>00010 [6,7,2,3,4,5,1]=>[5,7,2,3,4,6,1]=>[5,2,3,4,6,1]=>00000 [6,7,2,3,5,1,4]=>[5,7,2,1,3,6,4]=>[5,2,1,3,6,4]=>00000 [6,7,2,3,5,4,1]=>[4,5,2,7,1,6,3]=>[4,5,2,1,6,3]=>00000 [6,7,2,4,1,3,5]=>[4,7,1,2,3,6,5]=>[4,1,2,3,6,5]=>00010 [6,7,2,4,1,5,3]=>[4,7,5,2,1,6,3]=>[4,5,2,1,6,3]=>00000 [6,7,2,4,3,1,5]=>[3,4,7,1,2,6,5]=>[3,4,1,2,6,5]=>00010 [6,7,2,4,3,5,1]=>[5,7,4,2,3,6,1]=>[5,4,2,3,6,1]=>00000 [6,7,2,4,5,1,3]=>[5,7,1,3,2,6,4]=>[5,1,3,2,6,4]=>00000 [6,7,2,4,5,3,1]=>[3,5,7,2,1,6,4]=>[3,5,2,1,6,4]=>00000 [6,7,2,5,1,3,4]=>[5,7,1,2,4,6,3]=>[5,1,2,4,6,3]=>00000 [6,7,2,5,1,4,3]=>[5,7,4,1,2,6,3]=>[5,4,1,2,6,3]=>00000 [6,7,2,5,3,1,4]=>[3,5,7,1,4,6,2]=>[3,5,1,4,6,2]=>00000 [6,7,2,5,3,4,1]=>[4,7,5,3,2,6,1]=>[4,5,3,2,6,1]=>00000 [6,7,2,5,4,1,3]=>[4,5,1,7,3,6,2]=>[4,5,1,3,6,2]=>00000 [6,7,2,5,4,3,1]=>[3,4,5,7,2,6,1]=>[3,4,5,2,6,1]=>00000 [6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]=>[3,1,2,4,6,5]=>00110 [6,7,3,1,2,5,4]=>[3,1,7,5,2,6,4]=>[3,1,5,2,6,4]=>00000 [6,7,3,1,4,2,5]=>[3,7,4,2,1,6,5]=>[3,4,2,1,6,5]=>00010 [6,7,3,1,4,5,2]=>[3,7,5,1,2,6,4]=>[3,5,1,2,6,4]=>00000 [6,7,3,1,5,2,4]=>[3,7,5,2,4,6,1]=>[3,5,2,4,6,1]=>00000 [6,7,3,1,5,4,2]=>[3,7,4,5,2,6,1]=>[3,4,5,2,6,1]=>00000 [6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]=>[2,3,1,4,6,5]=>00110 [6,7,3,2,1,5,4]=>[2,3,7,5,1,6,4]=>[2,3,5,1,6,4]=>00000 [6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>00010 [6,7,3,2,4,5,1]=>[5,3,7,2,4,6,1]=>[5,3,2,4,6,1]=>00000 [6,7,3,2,5,1,4]=>[5,3,7,1,2,6,4]=>[5,3,1,2,6,4]=>00000 [6,7,3,2,5,4,1]=>[4,3,5,7,1,6,2]=>[4,3,5,1,6,2]=>00000 [6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]=>[4,1,3,2,6,5]=>00010 [6,7,3,4,1,5,2]=>[4,5,7,3,1,6,2]=>[4,5,3,1,6,2]=>00000 [6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5]=>[2,4,3,1,6,5]=>00010 [6,7,3,4,2,5,1]=>[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>00000 [6,7,3,4,5,1,2]=>[5,1,7,3,4,6,2]=>[5,1,3,4,6,2]=>00000 [6,7,3,4,5,2,1]=>[2,5,7,3,4,6,1]=>[2,5,3,4,6,1]=>00000 [6,7,3,5,1,2,4]=>[5,1,7,2,3,6,4]=>[5,1,2,3,6,4]=>00000 [6,7,3,5,1,4,2]=>[5,4,7,1,3,6,2]=>[5,4,1,3,6,2]=>00000 [6,7,3,5,2,1,4]=>[2,5,7,1,3,6,4]=>[2,5,1,3,6,4]=>00000 [6,7,3,5,2,4,1]=>[4,5,7,2,3,6,1]=>[4,5,2,3,6,1]=>00000 [6,7,3,5,4,1,2]=>[4,1,5,7,2,6,3]=>[4,1,5,2,6,3]=>00000 [6,7,3,5,4,2,1]=>[2,4,5,7,1,6,3]=>[2,4,5,1,6,3]=>00000 [6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]=>[4,1,2,3,6,5]=>00010 [6,7,4,1,2,5,3]=>[4,1,7,5,3,6,2]=>[4,1,5,3,6,2]=>00000 [6,7,4,1,3,2,5]=>[4,3,1,7,2,6,5]=>[4,3,1,2,6,5]=>00010 [6,7,4,1,3,5,2]=>[4,7,1,5,2,6,3]=>[4,1,5,2,6,3]=>00000 [6,7,4,1,5,2,3]=>[4,7,2,5,3,6,1]=>[4,2,5,3,6,1]=>00000 [6,7,4,1,5,3,2]=>[4,3,7,5,2,6,1]=>[4,3,5,2,6,1]=>00000 [6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]=>[2,4,1,3,6,5]=>00010 [6,7,4,2,1,5,3]=>[2,4,7,5,3,6,1]=>[2,4,5,3,6,1]=>00000 [6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5]=>[3,4,2,1,6,5]=>00010 [6,7,4,2,3,5,1]=>[5,4,2,7,3,6,1]=>[5,4,2,3,6,1]=>00000 [6,7,4,2,5,1,3]=>[5,4,1,7,2,6,3]=>[5,4,1,2,6,3]=>00000 [6,7,4,2,5,3,1]=>[3,5,4,7,1,6,2]=>[3,5,4,1,6,2]=>00000 [6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]=>[3,1,4,2,6,5]=>00010 [6,7,4,3,1,5,2]=>[3,4,7,5,1,6,2]=>[3,4,5,1,6,2]=>00000 [6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]=>[2,3,4,1,6,5]=>00010 [6,7,4,3,2,5,1]=>[5,3,4,7,2,6,1]=>[5,3,4,2,6,1]=>00000 [6,7,4,3,5,1,2]=>[5,1,4,7,3,6,2]=>[5,1,4,3,6,2]=>00000 [6,7,4,3,5,2,1]=>[2,5,4,7,3,6,1]=>[2,5,4,3,6,1]=>00000 [6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]=>[5,1,2,4,6,3]=>00000 [6,7,4,5,1,3,2]=>[5,3,1,7,4,6,2]=>[5,3,1,4,6,2]=>00000 [6,7,4,5,2,1,3]=>[2,5,1,7,4,6,3]=>[2,5,1,4,6,3]=>00000 [6,7,4,5,2,3,1]=>[3,5,2,7,4,6,1]=>[3,5,2,4,6,1]=>00000 [6,7,4,5,3,1,2]=>[3,1,5,7,4,6,2]=>[3,1,5,4,6,2]=>00000 [6,7,4,5,3,2,1]=>[2,3,5,7,4,6,1]=>[2,3,5,4,6,1]=>00000 [6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4]=>[5,1,2,3,6,4]=>00000 [6,7,5,1,2,4,3]=>[5,1,4,2,7,6,3]=>[5,1,4,2,6,3]=>00000 [6,7,5,1,3,2,4]=>[5,3,1,2,7,6,4]=>[5,3,1,2,6,4]=>00000 [6,7,5,1,3,4,2]=>[5,4,1,3,7,6,2]=>[5,4,1,3,6,2]=>00000 [6,7,5,1,4,2,3]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>00000 [6,7,5,1,4,3,2]=>[5,3,4,1,7,6,2]=>[5,3,4,1,6,2]=>00000 [6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4]=>[2,5,1,3,6,4]=>00000 [6,7,5,2,1,4,3]=>[2,5,4,1,7,6,3]=>[2,5,4,1,6,3]=>00000 [6,7,5,2,3,1,4]=>[3,5,2,1,7,6,4]=>[3,5,2,1,6,4]=>00000 [6,7,5,2,3,4,1]=>[4,5,2,3,7,6,1]=>[4,5,2,3,6,1]=>00000 [6,7,5,2,4,1,3]=>[4,5,1,2,7,6,3]=>[4,5,1,2,6,3]=>00000 [6,7,5,2,4,3,1]=>[3,4,5,1,7,6,2]=>[3,4,5,1,6,2]=>00000 [6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4]=>[3,1,5,2,6,4]=>00000 [6,7,5,3,1,4,2]=>[3,5,4,2,7,6,1]=>[3,5,4,2,6,1]=>00000 [6,7,5,3,2,1,4]=>[2,3,5,1,7,6,4]=>[2,3,5,1,6,4]=>00000 [6,7,5,3,2,4,1]=>[4,3,5,2,7,6,1]=>[4,3,5,2,6,1]=>00000 [6,7,5,3,4,1,2]=>[4,1,5,3,7,6,2]=>[4,1,5,3,6,2]=>00000 [6,7,5,3,4,2,1]=>[2,4,5,3,7,6,1]=>[2,4,5,3,6,1]=>00000 [6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3]=>[4,1,2,5,6,3]=>00000 [6,7,5,4,1,3,2]=>[4,3,1,5,7,6,2]=>[4,3,1,5,6,2]=>00000 [6,7,5,4,2,1,3]=>[2,4,1,5,7,6,3]=>[2,4,1,5,6,3]=>00000 [6,7,5,4,2,3,1]=>[3,4,2,5,7,6,1]=>[3,4,2,5,6,1]=>00000 [6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2]=>[3,1,4,5,6,2]=>00000 [6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]=>[2,3,4,5,6,1]=>00000 [7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,6]=>11111 [7,1,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>[1,2,3,6,4,5]=>11100 [7,1,2,3,5,4,6]=>[7,1,2,5,3,4,6]=>[1,2,5,3,4,6]=>11001 [7,1,2,3,5,6,4]=>[7,1,2,6,3,5,4]=>[1,2,6,3,5,4]=>11000 [7,1,2,3,6,4,5]=>[7,1,2,6,4,3,5]=>[1,2,6,4,3,5]=>11000 [7,1,2,3,6,5,4]=>[7,1,2,5,6,3,4]=>[1,2,5,6,3,4]=>11000 [7,1,2,4,3,5,6]=>[7,1,4,2,3,5,6]=>[1,4,2,3,5,6]=>10011 [7,1,2,4,3,6,5]=>[7,1,4,2,6,3,5]=>[1,4,2,6,3,5]=>10000 [7,1,2,4,5,3,6]=>[7,1,5,2,4,3,6]=>[1,5,2,4,3,6]=>10001 [7,1,2,4,5,6,3]=>[7,1,6,2,3,4,5]=>[1,6,2,3,4,5]=>10000 [7,1,2,4,6,3,5]=>[7,1,6,2,4,5,3]=>[1,6,2,4,5,3]=>10000 [7,1,2,4,6,5,3]=>[7,1,5,2,6,4,3]=>[1,5,2,6,4,3]=>10000 [7,1,2,5,3,4,6]=>[7,1,5,3,2,4,6]=>[1,5,3,2,4,6]=>10001 [7,1,2,5,3,6,4]=>[7,1,5,6,2,3,4]=>[1,5,6,2,3,4]=>10000 [7,1,2,5,4,3,6]=>[7,1,4,5,2,3,6]=>[1,4,5,2,3,6]=>10001 [7,1,2,5,4,6,3]=>[7,1,6,5,2,4,3]=>[1,6,5,2,4,3]=>10000 [7,1,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[1,6,3,2,5,4]=>10000 [7,1,2,5,6,4,3]=>[7,1,4,6,2,5,3]=>[1,4,6,2,5,3]=>10000 [7,1,2,6,3,4,5]=>[7,1,6,3,4,2,5]=>[1,6,3,4,2,5]=>10000 [7,1,2,6,3,5,4]=>[7,1,6,5,3,2,4]=>[1,6,5,3,2,4]=>10000 [7,1,2,6,4,3,5]=>[7,1,4,6,3,2,5]=>[1,4,6,3,2,5]=>10000 [7,1,2,6,4,5,3]=>[7,1,5,6,4,2,3]=>[1,5,6,4,2,3]=>10000 [7,1,2,6,5,3,4]=>[7,1,5,3,6,2,4]=>[1,5,3,6,2,4]=>10000 [7,1,2,6,5,4,3]=>[7,1,4,5,6,2,3]=>[1,4,5,6,2,3]=>10000 [7,1,3,2,4,5,6]=>[7,3,1,2,4,5,6]=>[3,1,2,4,5,6]=>00111 [7,1,3,2,4,6,5]=>[7,3,1,2,6,4,5]=>[3,1,2,6,4,5]=>00100 [7,1,3,2,5,4,6]=>[7,3,1,5,2,4,6]=>[3,1,5,2,4,6]=>00001 [7,1,3,2,5,6,4]=>[7,3,1,6,2,5,4]=>[3,1,6,2,5,4]=>00000 [7,1,3,2,6,4,5]=>[7,3,1,6,4,2,5]=>[3,1,6,4,2,5]=>00000 [7,1,3,2,6,5,4]=>[7,3,1,5,6,2,4]=>[3,1,5,6,2,4]=>00000 [7,1,3,4,2,5,6]=>[7,4,1,3,2,5,6]=>[4,1,3,2,5,6]=>00011 [7,1,3,4,2,6,5]=>[7,4,1,3,6,2,5]=>[4,1,3,6,2,5]=>00000 [7,1,3,4,5,2,6]=>[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>00001 [7,1,3,4,5,6,2]=>[7,6,1,2,3,5,4]=>[6,1,2,3,5,4]=>00000 [7,1,3,4,6,2,5]=>[7,6,1,2,4,3,5]=>[6,1,2,4,3,5]=>00000 [7,1,3,4,6,5,2]=>[7,5,1,2,6,3,4]=>[5,1,2,6,3,4]=>00000 [7,1,3,5,2,4,6]=>[7,5,1,3,4,2,6]=>[5,1,3,4,2,6]=>00001 [7,1,3,5,2,6,4]=>[7,5,1,6,3,2,4]=>[5,1,6,3,2,4]=>00000 [7,1,3,5,4,2,6]=>[7,4,1,5,3,2,6]=>[4,1,5,3,2,6]=>00001 [7,1,3,5,4,6,2]=>[7,6,1,5,2,3,4]=>[6,1,5,2,3,4]=>00000 [7,1,3,5,6,2,4]=>[7,6,1,3,2,4,5]=>[6,1,3,2,4,5]=>00000 [7,1,3,5,6,4,2]=>[7,4,1,6,2,3,5]=>[4,1,6,2,3,5]=>00000 [7,1,3,6,2,4,5]=>[7,6,1,3,4,5,2]=>[6,1,3,4,5,2]=>00000 [7,1,3,6,2,5,4]=>[7,6,1,5,3,4,2]=>[6,1,5,3,4,2]=>00000 [7,1,3,6,4,2,5]=>[7,4,1,6,3,5,2]=>[4,1,6,3,5,2]=>00000 [7,1,3,6,4,5,2]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>00000 [7,1,3,6,5,2,4]=>[7,5,1,3,6,4,2]=>[5,1,3,6,4,2]=>00000 [7,1,3,6,5,4,2]=>[7,4,1,5,6,3,2]=>[4,1,5,6,3,2]=>00000 [7,1,4,2,3,5,6]=>[7,4,2,1,3,5,6]=>[4,2,1,3,5,6]=>00011 [7,1,4,2,3,6,5]=>[7,4,2,1,6,3,5]=>[4,2,1,6,3,5]=>00000 [7,1,4,2,5,3,6]=>[7,4,5,1,2,3,6]=>[4,5,1,2,3,6]=>00001 [7,1,4,2,5,6,3]=>[7,4,6,1,2,5,3]=>[4,6,1,2,5,3]=>00000 [7,1,4,2,6,3,5]=>[7,4,6,1,3,2,5]=>[4,6,1,3,2,5]=>00000 [7,1,4,2,6,5,3]=>[7,4,5,1,6,2,3]=>[4,5,1,6,2,3]=>00000 [7,1,4,3,2,5,6]=>[7,3,4,1,2,5,6]=>[3,4,1,2,5,6]=>00011 [7,1,4,3,2,6,5]=>[7,3,4,1,6,2,5]=>[3,4,1,6,2,5]=>00000 [7,1,4,3,5,2,6]=>[7,5,4,1,3,2,6]=>[5,4,1,3,2,6]=>00001 [7,1,4,3,5,6,2]=>[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>00000 [7,1,4,3,6,2,5]=>[7,6,4,1,3,5,2]=>[6,4,1,3,5,2]=>00000 [7,1,4,3,6,5,2]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>00000 [7,1,4,5,2,3,6]=>[7,5,2,1,4,3,6]=>[5,2,1,4,3,6]=>00001 [7,1,4,5,2,6,3]=>[7,5,6,1,3,4,2]=>[5,6,1,3,4,2]=>00000 [7,1,4,5,3,2,6]=>[7,3,5,1,4,2,6]=>[3,5,1,4,2,6]=>00001 [7,1,4,5,3,6,2]=>[7,6,5,1,2,4,3]=>[6,5,1,2,4,3]=>00000 [7,1,4,5,6,2,3]=>[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>00000 [7,1,4,5,6,3,2]=>[7,3,6,1,2,4,5]=>[3,6,1,2,4,5]=>00000 [7,1,4,6,2,3,5]=>[7,6,2,1,4,5,3]=>[6,2,1,4,5,3]=>00000 [7,1,4,6,2,5,3]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>00000 [7,1,4,6,3,2,5]=>[7,3,6,1,4,5,2]=>[3,6,1,4,5,2]=>00000 [7,1,4,6,3,5,2]=>[7,5,6,1,4,2,3]=>[5,6,1,4,2,3]=>00000 [7,1,4,6,5,2,3]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>00000 [7,1,4,6,5,3,2]=>[7,3,5,1,6,4,2]=>[3,5,1,6,4,2]=>00000 [7,1,5,2,3,4,6]=>[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>00001 [7,1,5,2,3,6,4]=>[7,5,2,6,1,3,4]=>[5,2,6,1,3,4]=>00000 [7,1,5,2,4,3,6]=>[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>00001 [7,1,5,2,4,6,3]=>[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>00000 [7,1,5,2,6,3,4]=>[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>00000 [7,1,5,2,6,4,3]=>[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>00000 [7,1,5,3,2,4,6]=>[7,3,5,2,1,4,6]=>[3,5,2,1,4,6]=>00001 [7,1,5,3,2,6,4]=>[7,3,5,6,1,2,4]=>[3,5,6,1,2,4]=>00000 [7,1,5,3,4,2,6]=>[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>00001 [7,1,5,3,4,6,2]=>[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>00000 [7,1,5,3,6,2,4]=>[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>00000 [7,1,5,3,6,4,2]=>[7,4,6,5,1,2,3]=>[4,6,5,1,2,3]=>00000 [7,1,5,4,2,3,6]=>[7,4,2,5,1,3,6]=>[4,2,5,1,3,6]=>00001 [7,1,5,4,2,6,3]=>[7,4,5,6,1,3,2]=>[4,5,6,1,3,2]=>00000 [7,1,5,4,3,2,6]=>[7,3,4,5,1,2,6]=>[3,4,5,1,2,6]=>00001 [7,1,5,4,3,6,2]=>[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>00000 [7,1,5,4,6,2,3]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>00000 [7,1,5,4,6,3,2]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>00000 [7,1,5,6,2,3,4]=>[7,6,2,3,1,5,4]=>[6,2,3,1,5,4]=>00000 [7,1,5,6,2,4,3]=>[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>00000 [7,1,5,6,3,2,4]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>00000 [7,1,5,6,3,4,2]=>[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>00000 [7,1,5,6,4,2,3]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>00000 [7,1,5,6,4,3,2]=>[7,3,4,6,1,5,2]=>[3,4,6,1,5,2]=>00000 [7,1,6,2,3,4,5]=>[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>00000 [7,1,6,2,3,5,4]=>[7,6,2,5,3,1,4]=>[6,2,5,3,1,4]=>00000 [7,1,6,2,4,3,5]=>[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>00000 [7,1,6,2,4,5,3]=>[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>00000 [7,1,6,2,5,3,4]=>[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>00000 [7,1,6,2,5,4,3]=>[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>00000 [7,1,6,3,2,4,5]=>[7,3,6,2,4,1,5]=>[3,6,2,4,1,5]=>00000 [7,1,6,3,2,5,4]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>00000 [7,1,6,3,4,2,5]=>[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>00000 [7,1,6,3,4,5,2]=>[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>00000 [7,1,6,3,5,2,4]=>[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>00000 [7,1,6,3,5,4,2]=>[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>00000 [7,1,6,4,2,3,5]=>[7,4,2,6,3,1,5]=>[4,2,6,3,1,5]=>00000 [7,1,6,4,2,5,3]=>[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>00000 [7,1,6,4,3,2,5]=>[7,3,4,6,2,1,5]=>[3,4,6,2,1,5]=>00000 [7,1,6,4,3,5,2]=>[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>00000 [7,1,6,4,5,2,3]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>00000 [7,1,6,4,5,3,2]=>[7,3,5,6,4,1,2]=>[3,5,6,4,1,2]=>00000 [7,1,6,5,2,3,4]=>[7,5,2,3,6,1,4]=>[5,2,3,6,1,4]=>00000 [7,1,6,5,2,4,3]=>[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>00000 [7,1,6,5,3,2,4]=>[7,3,5,2,6,1,4]=>[3,5,2,6,1,4]=>00000 [7,1,6,5,3,4,2]=>[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>00000 [7,1,6,5,4,2,3]=>[7,4,2,5,6,1,3]=>[4,2,5,6,1,3]=>00000 [7,1,6,5,4,3,2]=>[7,3,4,5,6,1,2]=>[3,4,5,6,1,2]=>00000 [7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[2,1,3,4,5,6]=>01111 [7,2,1,3,4,6,5]=>[2,7,1,3,6,4,5]=>[2,1,3,6,4,5]=>01100 [7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]=>[2,1,5,3,4,6]=>01001 [7,2,1,3,5,6,4]=>[2,7,1,6,3,5,4]=>[2,1,6,3,5,4]=>01000 [7,2,1,3,6,4,5]=>[2,7,1,6,4,3,5]=>[2,1,6,4,3,5]=>01000 [7,2,1,3,6,5,4]=>[2,7,1,5,6,3,4]=>[2,1,5,6,3,4]=>01000 [7,2,1,4,3,5,6]=>[2,7,4,1,3,5,6]=>[2,4,1,3,5,6]=>00011 [7,2,1,4,3,6,5]=>[2,7,4,1,6,3,5]=>[2,4,1,6,3,5]=>00000 [7,2,1,4,5,3,6]=>[2,7,5,1,4,3,6]=>[2,5,1,4,3,6]=>00001 [7,2,1,4,5,6,3]=>[2,7,6,1,3,4,5]=>[2,6,1,3,4,5]=>00000 [7,2,1,4,6,3,5]=>[2,7,6,1,4,5,3]=>[2,6,1,4,5,3]=>00000 [7,2,1,4,6,5,3]=>[2,7,5,1,6,4,3]=>[2,5,1,6,4,3]=>00000 [7,2,1,5,3,4,6]=>[2,7,5,3,1,4,6]=>[2,5,3,1,4,6]=>00001 [7,2,1,5,3,6,4]=>[2,7,5,6,1,3,4]=>[2,5,6,1,3,4]=>00000 [7,2,1,5,4,3,6]=>[2,7,4,5,1,3,6]=>[2,4,5,1,3,6]=>00001 [7,2,1,5,4,6,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>00000 [7,2,1,5,6,3,4]=>[2,7,6,3,1,5,4]=>[2,6,3,1,5,4]=>00000 [7,2,1,5,6,4,3]=>[2,7,4,6,1,5,3]=>[2,4,6,1,5,3]=>00000 [7,2,1,6,3,4,5]=>[2,7,6,3,4,1,5]=>[2,6,3,4,1,5]=>00000 [7,2,1,6,3,5,4]=>[2,7,6,5,3,1,4]=>[2,6,5,3,1,4]=>00000 [7,2,1,6,4,3,5]=>[2,7,4,6,3,1,5]=>[2,4,6,3,1,5]=>00000 [7,2,1,6,4,5,3]=>[2,7,5,6,4,1,3]=>[2,5,6,4,1,3]=>00000 [7,2,1,6,5,3,4]=>[2,7,5,3,6,1,4]=>[2,5,3,6,1,4]=>00000 [7,2,1,6,5,4,3]=>[2,7,4,5,6,1,3]=>[2,4,5,6,1,3]=>00000 [7,2,3,1,4,5,6]=>[3,7,2,1,4,5,6]=>[3,2,1,4,5,6]=>00111 [7,2,3,1,4,6,5]=>[3,7,2,1,6,4,5]=>[3,2,1,6,4,5]=>00100 [7,2,3,1,5,4,6]=>[3,7,2,5,1,4,6]=>[3,2,5,1,4,6]=>00001 [7,2,3,1,5,6,4]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>00000 [7,2,3,1,6,4,5]=>[3,7,2,6,4,1,5]=>[3,2,6,4,1,5]=>00000 [7,2,3,1,6,5,4]=>[3,7,2,5,6,1,4]=>[3,2,5,6,1,4]=>00000 [7,2,3,4,1,5,6]=>[4,7,2,3,1,5,6]=>[4,2,3,1,5,6]=>00011 [7,2,3,4,1,6,5]=>[4,7,2,3,6,1,5]=>[4,2,3,6,1,5]=>00000 [7,2,3,4,5,1,6]=>[5,7,2,3,4,1,6]=>[5,2,3,4,1,6]=>00001 [7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]=>[6,2,3,4,5,1]=>00000 [7,2,3,4,6,1,5]=>[6,7,2,3,1,4,5]=>[6,2,3,1,4,5]=>00000 [7,2,3,4,6,5,1]=>[5,6,2,3,7,1,4]=>[5,6,2,3,1,4]=>00000 [7,2,3,5,1,4,6]=>[5,7,2,1,3,4,6]=>[5,2,1,3,4,6]=>00001 [7,2,3,5,1,6,4]=>[5,7,2,6,3,1,4]=>[5,2,6,3,1,4]=>00000 [7,2,3,5,4,1,6]=>[4,5,2,7,1,3,6]=>[4,5,2,1,3,6]=>00001 [7,2,3,5,4,6,1]=>[6,7,2,5,3,4,1]=>[6,2,5,3,4,1]=>00000 [7,2,3,5,6,1,4]=>[6,7,2,1,4,3,5]=>[6,2,1,4,3,5]=>00000 [7,2,3,5,6,4,1]=>[4,6,2,7,3,1,5]=>[4,6,2,3,1,5]=>00000 [7,2,3,6,1,4,5]=>[6,7,2,1,3,5,4]=>[6,2,1,3,5,4]=>00000 [7,2,3,6,1,5,4]=>[6,7,2,5,1,3,4]=>[6,2,5,1,3,4]=>00000 [7,2,3,6,4,1,5]=>[4,6,2,7,1,5,3]=>[4,6,2,1,5,3]=>00000 [7,2,3,6,4,5,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>00000 [7,2,3,6,5,1,4]=>[5,6,2,1,7,4,3]=>[5,6,2,1,4,3]=>00000 [7,2,3,6,5,4,1]=>[4,5,2,6,7,3,1]=>[4,5,2,6,3,1]=>00000 [7,2,4,1,3,5,6]=>[4,7,1,2,3,5,6]=>[4,1,2,3,5,6]=>00011 [7,2,4,1,3,6,5]=>[4,7,1,2,6,3,5]=>[4,1,2,6,3,5]=>00000 [7,2,4,1,5,3,6]=>[4,7,5,2,1,3,6]=>[4,5,2,1,3,6]=>00001 [7,2,4,1,5,6,3]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>00000 [7,2,4,1,6,3,5]=>[4,7,6,2,3,1,5]=>[4,6,2,3,1,5]=>00000 [7,2,4,1,6,5,3]=>[4,7,5,2,6,1,3]=>[4,5,2,6,1,3]=>00000 [7,2,4,3,1,5,6]=>[3,4,7,1,2,5,6]=>[3,4,1,2,5,6]=>00011 [7,2,4,3,1,6,5]=>[3,4,7,1,6,2,5]=>[3,4,1,6,2,5]=>00000 [7,2,4,3,5,1,6]=>[5,7,4,2,3,1,6]=>[5,4,2,3,1,6]=>00001 [7,2,4,3,5,6,1]=>[6,7,4,2,3,5,1]=>[6,4,2,3,5,1]=>00000 [7,2,4,3,6,1,5]=>[6,7,4,2,1,3,5]=>[6,4,2,1,3,5]=>00000 [7,2,4,3,6,5,1]=>[5,6,4,2,7,1,3]=>[5,6,4,2,1,3]=>00000 [7,2,4,5,1,3,6]=>[5,7,1,3,2,4,6]=>[5,1,3,2,4,6]=>00001 [7,2,4,5,1,6,3]=>[5,7,6,2,3,4,1]=>[5,6,2,3,4,1]=>00000 [7,2,4,5,3,1,6]=>[3,5,7,2,1,4,6]=>[3,5,2,1,4,6]=>00001 [7,2,4,5,3,6,1]=>[6,7,5,2,4,3,1]=>[6,5,2,4,3,1]=>00000 [7,2,4,5,6,1,3]=>[6,7,1,3,4,2,5]=>[6,1,3,4,2,5]=>00000 [7,2,4,5,6,3,1]=>[3,6,7,2,4,1,5]=>[3,6,2,4,1,5]=>00000 [7,2,4,6,1,3,5]=>[6,7,1,3,2,5,4]=>[6,1,3,2,5,4]=>00000 [7,2,4,6,1,5,3]=>[6,7,5,2,1,4,3]=>[6,5,2,1,4,3]=>00000 [7,2,4,6,3,1,5]=>[3,6,7,2,1,5,4]=>[3,6,2,1,5,4]=>00000 [7,2,4,6,3,5,1]=>[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>00000 [7,2,4,6,5,1,3]=>[5,6,1,3,7,4,2]=>[5,6,1,3,4,2]=>00000 [7,2,4,6,5,3,1]=>[3,5,6,2,7,4,1]=>[3,5,6,2,4,1]=>00000 [7,2,5,1,3,4,6]=>[5,7,1,2,4,3,6]=>[5,1,2,4,3,6]=>00001 [7,2,5,1,3,6,4]=>[5,7,1,6,2,3,4]=>[5,1,6,2,3,4]=>00000 [7,2,5,1,4,3,6]=>[5,7,4,1,2,3,6]=>[5,4,1,2,3,6]=>00001 [7,2,5,1,4,6,3]=>[5,7,6,1,2,4,3]=>[5,6,1,2,4,3]=>00000 [7,2,5,1,6,3,4]=>[5,7,6,3,2,1,4]=>[5,6,3,2,1,4]=>00000 [7,2,5,1,6,4,3]=>[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>00000 [7,2,5,3,1,4,6]=>[3,5,7,1,4,2,6]=>[3,5,1,4,2,6]=>00001 [7,2,5,3,1,6,4]=>[3,5,7,6,1,2,4]=>[3,5,6,1,2,4]=>00000 [7,2,5,3,4,1,6]=>[4,7,5,3,2,1,6]=>[4,5,3,2,1,6]=>00001 [7,2,5,3,4,6,1]=>[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>00000 [7,2,5,3,6,1,4]=>[6,7,5,1,4,2,3]=>[6,5,1,4,2,3]=>00000 [7,2,5,3,6,4,1]=>[4,6,7,5,3,1,2]=>[4,6,5,3,1,2]=>00000 [7,2,5,4,1,3,6]=>[4,5,1,7,3,2,6]=>[4,5,1,3,2,6]=>00001 [7,2,5,4,1,6,3]=>[4,5,7,6,1,3,2]=>[4,5,6,1,3,2]=>00000 [7,2,5,4,3,1,6]=>[3,4,5,7,2,1,6]=>[3,4,5,2,1,6]=>00001 [7,2,5,4,3,6,1]=>[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>00000 [7,2,5,4,6,1,3]=>[6,7,1,5,3,2,4]=>[6,1,5,3,2,4]=>00000 [7,2,5,4,6,3,1]=>[3,6,7,5,2,1,4]=>[3,6,5,2,1,4]=>00000 [7,2,5,6,1,3,4]=>[6,7,1,2,4,5,3]=>[6,1,2,4,5,3]=>00000 [7,2,5,6,1,4,3]=>[6,7,4,1,3,2,5]=>[6,4,1,3,2,5]=>00000 [7,2,5,6,3,1,4]=>[3,6,7,1,4,5,2]=>[3,6,1,4,5,2]=>00000 [7,2,5,6,3,4,1]=>[4,7,6,3,1,2,5]=>[4,6,3,1,2,5]=>00000 [7,2,5,6,4,1,3]=>[4,6,1,7,3,5,2]=>[4,6,1,3,5,2]=>00000 [7,2,5,6,4,3,1]=>[3,4,6,7,2,5,1]=>[3,4,6,2,5,1]=>00000 [7,2,6,1,3,4,5]=>[6,7,1,2,3,4,5]=>[6,1,2,3,4,5]=>00000 [7,2,6,1,3,5,4]=>[6,7,1,5,2,4,3]=>[6,1,5,2,4,3]=>00000 [7,2,6,1,4,3,5]=>[6,7,4,1,2,5,3]=>[6,4,1,2,5,3]=>00000 [7,2,6,1,4,5,3]=>[6,7,5,1,2,3,4]=>[6,5,1,2,3,4]=>00000 [7,2,6,1,5,3,4]=>[6,7,5,3,1,2,4]=>[6,5,3,1,2,4]=>00000 [7,2,6,1,5,4,3]=>[6,7,4,5,1,2,3]=>[6,4,5,1,2,3]=>00000 [7,2,6,3,1,4,5]=>[3,6,7,1,2,4,5]=>[3,6,1,2,4,5]=>00000 [7,2,6,3,1,5,4]=>[3,6,7,5,1,4,2]=>[3,6,5,1,4,2]=>00000 [7,2,6,3,4,1,5]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>00000 [7,2,6,3,4,5,1]=>[5,7,6,3,4,2,1]=>[5,6,3,4,2,1]=>00000 [7,2,6,3,5,1,4]=>[5,7,6,1,3,2,4]=>[5,6,1,3,2,4]=>00000 [7,2,6,3,5,4,1]=>[4,5,7,6,3,2,1]=>[4,5,6,3,2,1]=>00000 [7,2,6,4,1,3,5]=>[4,6,1,7,2,3,5]=>[4,6,1,2,3,5]=>00000 [7,2,6,4,1,5,3]=>[4,6,7,5,2,3,1]=>[4,6,5,2,3,1]=>00000 [7,2,6,4,3,1,5]=>[3,4,6,7,1,2,5]=>[3,4,6,1,2,5]=>00000 [7,2,6,4,3,5,1]=>[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>00000 [7,2,6,4,5,1,3]=>[5,7,1,6,4,2,3]=>[5,1,6,4,2,3]=>00000 [7,2,6,4,5,3,1]=>[3,5,7,6,4,1,2]=>[3,5,6,4,1,2]=>00000 [7,2,6,5,1,3,4]=>[5,6,1,2,7,3,4]=>[5,6,1,2,3,4]=>00000 [7,2,6,5,1,4,3]=>[5,6,4,1,7,3,2]=>[5,6,4,1,3,2]=>00000 [7,2,6,5,3,1,4]=>[3,5,6,1,7,2,4]=>[3,5,6,1,2,4]=>00000 [7,2,6,5,3,4,1]=>[4,7,5,3,6,2,1]=>[4,5,3,6,2,1]=>00000 [7,2,6,5,4,1,3]=>[4,5,1,6,7,2,3]=>[4,5,1,6,2,3]=>00000 [7,2,6,5,4,3,1]=>[3,4,5,6,7,1,2]=>[3,4,5,6,1,2]=>00000 [7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]=>[3,1,2,4,5,6]=>00111 [7,3,1,2,4,6,5]=>[3,1,7,2,6,4,5]=>[3,1,2,6,4,5]=>00100 [7,3,1,2,5,4,6]=>[3,1,7,5,2,4,6]=>[3,1,5,2,4,6]=>00001 [7,3,1,2,5,6,4]=>[3,1,7,6,2,5,4]=>[3,1,6,2,5,4]=>00000 [7,3,1,2,6,4,5]=>[3,1,7,6,4,2,5]=>[3,1,6,4,2,5]=>00000 [7,3,1,2,6,5,4]=>[3,1,7,5,6,2,4]=>[3,1,5,6,2,4]=>00000 [7,3,1,4,2,5,6]=>[3,7,4,2,1,5,6]=>[3,4,2,1,5,6]=>00011 [7,3,1,4,2,6,5]=>[3,7,4,2,6,1,5]=>[3,4,2,6,1,5]=>00000 [7,3,1,4,5,2,6]=>[3,7,5,1,2,4,6]=>[3,5,1,2,4,6]=>00001 [7,3,1,4,5,6,2]=>[3,7,6,1,2,5,4]=>[3,6,1,2,5,4]=>00000 [7,3,1,4,6,2,5]=>[3,7,6,1,4,2,5]=>[3,6,1,4,2,5]=>00000 [7,3,1,4,6,5,2]=>[3,7,5,1,6,2,4]=>[3,5,1,6,2,4]=>00000 [7,3,1,5,2,4,6]=>[3,7,5,2,4,1,6]=>[3,5,2,4,1,6]=>00001 [7,3,1,5,2,6,4]=>[3,7,5,6,2,1,4]=>[3,5,6,2,1,4]=>00000 [7,3,1,5,4,2,6]=>[3,7,4,5,2,1,6]=>[3,4,5,2,1,6]=>00001 [7,3,1,5,4,6,2]=>[3,7,6,5,1,2,4]=>[3,6,5,1,2,4]=>00000 [7,3,1,5,6,2,4]=>[3,7,6,2,1,4,5]=>[3,6,2,1,4,5]=>00000 [7,3,1,5,6,4,2]=>[3,7,4,6,1,2,5]=>[3,4,6,1,2,5]=>00000 [7,3,1,6,2,4,5]=>[3,7,6,2,4,5,1]=>[3,6,2,4,5,1]=>00000 [7,3,1,6,2,5,4]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>00000 [7,3,1,6,4,2,5]=>[3,7,4,6,2,5,1]=>[3,4,6,2,5,1]=>00000 [7,3,1,6,4,5,2]=>[3,7,5,6,4,2,1]=>[3,5,6,4,2,1]=>00000 [7,3,1,6,5,2,4]=>[3,7,5,2,6,4,1]=>[3,5,2,6,4,1]=>00000 [7,3,1,6,5,4,2]=>[3,7,4,5,6,2,1]=>[3,4,5,6,2,1]=>00000 [7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]=>[2,3,1,4,5,6]=>00111 [7,3,2,1,4,6,5]=>[2,3,7,1,6,4,5]=>[2,3,1,6,4,5]=>00100 [7,3,2,1,5,4,6]=>[2,3,7,5,1,4,6]=>[2,3,5,1,4,6]=>00001 [7,3,2,1,5,6,4]=>[2,3,7,6,1,5,4]=>[2,3,6,1,5,4]=>00000 [7,3,2,1,6,4,5]=>[2,3,7,6,4,1,5]=>[2,3,6,4,1,5]=>00000 [7,3,2,1,6,5,4]=>[2,3,7,5,6,1,4]=>[2,3,5,6,1,4]=>00000 [7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [7,3,2,4,1,6,5]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>00000 [7,3,2,4,5,1,6]=>[5,3,7,2,4,1,6]=>[5,3,2,4,1,6]=>00001 [7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]=>[6,3,2,4,5,1]=>00000 [7,3,2,4,6,1,5]=>[6,3,7,2,1,4,5]=>[6,3,2,1,4,5]=>00000 [7,3,2,4,6,5,1]=>[5,3,6,2,7,1,4]=>[5,3,6,2,1,4]=>00000 [7,3,2,5,1,4,6]=>[5,3,7,1,2,4,6]=>[5,3,1,2,4,6]=>00001 [7,3,2,5,1,6,4]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>00000 [7,3,2,5,4,1,6]=>[4,3,5,7,1,2,6]=>[4,3,5,1,2,6]=>00001 [7,3,2,5,4,6,1]=>[6,3,7,5,2,4,1]=>[6,3,5,2,4,1]=>00000 [7,3,2,5,6,1,4]=>[6,3,7,1,4,2,5]=>[6,3,1,4,2,5]=>00000 [7,3,2,5,6,4,1]=>[4,3,6,7,2,1,5]=>[4,3,6,2,1,5]=>00000 [7,3,2,6,1,4,5]=>[6,3,7,1,2,5,4]=>[6,3,1,2,5,4]=>00000 [7,3,2,6,1,5,4]=>[6,3,7,5,1,2,4]=>[6,3,5,1,2,4]=>00000 [7,3,2,6,4,1,5]=>[4,3,6,7,1,5,2]=>[4,3,6,1,5,2]=>00000 [7,3,2,6,4,5,1]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>00000 [7,3,2,6,5,1,4]=>[5,3,6,1,7,4,2]=>[5,3,6,1,4,2]=>00000 [7,3,2,6,5,4,1]=>[4,3,5,6,7,2,1]=>[4,3,5,6,2,1]=>00000 [7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]=>[4,1,3,2,5,6]=>00011 [7,3,4,1,2,6,5]=>[4,1,7,3,6,2,5]=>[4,1,3,6,2,5]=>00000 [7,3,4,1,5,2,6]=>[4,5,7,3,1,2,6]=>[4,5,3,1,2,6]=>00001 [7,3,4,1,5,6,2]=>[4,6,7,3,2,1,5]=>[4,6,3,2,1,5]=>00000 [7,3,4,1,6,2,5]=>[4,6,7,3,1,5,2]=>[4,6,3,1,5,2]=>00000 [7,3,4,1,6,5,2]=>[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>00000 [7,3,4,2,1,5,6]=>[2,4,7,3,1,5,6]=>[2,4,3,1,5,6]=>00011 [7,3,4,2,1,6,5]=>[2,4,7,3,6,1,5]=>[2,4,3,6,1,5]=>00000 [7,3,4,2,5,1,6]=>[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [7,3,4,2,5,6,1]=>[6,4,7,3,2,5,1]=>[6,4,3,2,5,1]=>00000 [7,3,4,2,6,1,5]=>[6,4,7,3,1,2,5]=>[6,4,3,1,2,5]=>00000 [7,3,4,2,6,5,1]=>[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>00000 [7,3,4,5,1,2,6]=>[5,1,7,3,4,2,6]=>[5,1,3,4,2,6]=>00001 [7,3,4,5,1,6,2]=>[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>00000 [7,3,4,5,2,1,6]=>[2,5,7,3,4,1,6]=>[2,5,3,4,1,6]=>00001 [7,3,4,5,2,6,1]=>[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>00000 [7,3,4,5,6,1,2]=>[6,1,7,3,4,5,2]=>[6,1,3,4,5,2]=>00000 [7,3,4,5,6,2,1]=>[2,6,7,3,4,5,1]=>[2,6,3,4,5,1]=>00000 [7,3,4,6,1,2,5]=>[6,1,7,3,2,4,5]=>[6,1,3,2,4,5]=>00000 [7,3,4,6,1,5,2]=>[6,5,7,3,1,4,2]=>[6,5,3,1,4,2]=>00000 [7,3,4,6,2,1,5]=>[2,6,7,3,1,4,5]=>[2,6,3,1,4,5]=>00000 [7,3,4,6,2,5,1]=>[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>00000 [7,3,4,6,5,1,2]=>[5,1,6,3,7,2,4]=>[5,1,6,3,2,4]=>00000 [7,3,4,6,5,2,1]=>[2,5,6,3,7,1,4]=>[2,5,6,3,1,4]=>00000 [7,3,5,1,2,4,6]=>[5,1,7,2,3,4,6]=>[5,1,2,3,4,6]=>00001 [7,3,5,1,2,6,4]=>[5,1,7,6,3,2,4]=>[5,1,6,3,2,4]=>00000 [7,3,5,1,4,2,6]=>[5,4,7,1,3,2,6]=>[5,4,1,3,2,6]=>00001 [7,3,5,1,4,6,2]=>[5,6,7,1,3,4,2]=>[5,6,1,3,4,2]=>00000 [7,3,5,1,6,2,4]=>[5,6,7,2,4,3,1]=>[5,6,2,4,3,1]=>00000 [7,3,5,1,6,4,2]=>[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>00000 [7,3,5,2,1,4,6]=>[2,5,7,1,3,4,6]=>[2,5,1,3,4,6]=>00001 [7,3,5,2,1,6,4]=>[2,5,7,6,3,1,4]=>[2,5,6,3,1,4]=>00000 [7,3,5,2,4,1,6]=>[4,5,7,2,3,1,6]=>[4,5,2,3,1,6]=>00001 [7,3,5,2,4,6,1]=>[6,5,7,2,3,4,1]=>[6,5,2,3,4,1]=>00000 [7,3,5,2,6,1,4]=>[6,5,7,1,4,3,2]=>[6,5,1,4,3,2]=>00000 [7,3,5,2,6,4,1]=>[4,6,5,7,2,1,3]=>[4,6,5,2,1,3]=>00000 [7,3,5,4,1,2,6]=>[4,1,5,7,2,3,6]=>[4,1,5,2,3,6]=>00001 [7,3,5,4,1,6,2]=>[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>00000 [7,3,5,4,2,1,6]=>[2,4,5,7,1,3,6]=>[2,4,5,1,3,6]=>00001 [7,3,5,4,2,6,1]=>[6,4,5,7,2,3,1]=>[6,4,5,2,3,1]=>00000 [7,3,5,4,6,1,2]=>[6,1,7,5,3,4,2]=>[6,1,5,3,4,2]=>00000 [7,3,5,4,6,2,1]=>[2,6,7,5,3,4,1]=>[2,6,5,3,4,1]=>00000 [7,3,5,6,1,2,4]=>[6,1,7,2,4,3,5]=>[6,1,2,4,3,5]=>00000 [7,3,5,6,1,4,2]=>[6,4,7,1,3,5,2]=>[6,4,1,3,5,2]=>00000 [7,3,5,6,2,1,4]=>[2,6,7,1,4,3,5]=>[2,6,1,4,3,5]=>00000 [7,3,5,6,2,4,1]=>[4,6,7,2,3,5,1]=>[4,6,2,3,5,1]=>00000 [7,3,5,6,4,1,2]=>[4,1,6,7,3,2,5]=>[4,1,6,3,2,5]=>00000 [7,3,5,6,4,2,1]=>[2,4,6,7,3,1,5]=>[2,4,6,3,1,5]=>00000 [7,3,6,1,2,4,5]=>[6,1,7,2,3,5,4]=>[6,1,2,3,5,4]=>00000 [7,3,6,1,2,5,4]=>[6,1,7,5,2,3,4]=>[6,1,5,2,3,4]=>00000 [7,3,6,1,4,2,5]=>[6,4,7,1,2,3,5]=>[6,4,1,2,3,5]=>00000 [7,3,6,1,4,5,2]=>[6,5,7,1,3,2,4]=>[6,5,1,3,2,4]=>00000 [7,3,6,1,5,2,4]=>[6,5,7,2,1,3,4]=>[6,5,2,1,3,4]=>00000 [7,3,6,1,5,4,2]=>[6,4,5,7,1,2,3]=>[6,4,5,1,2,3]=>00000 [7,3,6,2,1,4,5]=>[2,6,7,1,3,5,4]=>[2,6,1,3,5,4]=>00000 [7,3,6,2,1,5,4]=>[2,6,7,5,1,3,4]=>[2,6,5,1,3,4]=>00000 [7,3,6,2,4,1,5]=>[4,6,7,2,1,3,5]=>[4,6,2,1,3,5]=>00000 [7,3,6,2,4,5,1]=>[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>00000 [7,3,6,2,5,1,4]=>[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>00000 [7,3,6,2,5,4,1]=>[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>00000 [7,3,6,4,1,2,5]=>[4,1,6,7,2,5,3]=>[4,1,6,2,5,3]=>00000 [7,3,6,4,1,5,2]=>[4,6,5,7,1,3,2]=>[4,6,5,1,3,2]=>00000 [7,3,6,4,2,1,5]=>[2,4,6,7,1,5,3]=>[2,4,6,1,5,3]=>00000 [7,3,6,4,2,5,1]=>[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>00000 [7,3,6,4,5,1,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>00000 [7,3,6,4,5,2,1]=>[2,5,7,6,4,3,1]=>[2,5,6,4,3,1]=>00000 [7,3,6,5,1,2,4]=>[5,1,6,2,7,4,3]=>[5,1,6,2,4,3]=>00000 [7,3,6,5,1,4,2]=>[5,4,6,1,7,2,3]=>[5,4,6,1,2,3]=>00000 [7,3,6,5,2,1,4]=>[2,5,6,1,7,4,3]=>[2,5,6,1,4,3]=>00000 [7,3,6,5,2,4,1]=>[4,5,6,2,7,1,3]=>[4,5,6,2,1,3]=>00000 [7,3,6,5,4,1,2]=>[4,1,5,6,7,3,2]=>[4,1,5,6,3,2]=>00000 [7,3,6,5,4,2,1]=>[2,4,5,6,7,3,1]=>[2,4,5,6,3,1]=>00000 [7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]=>[4,1,2,3,5,6]=>00011 [7,4,1,2,3,6,5]=>[4,1,2,7,6,3,5]=>[4,1,2,6,3,5]=>00000 [7,4,1,2,5,3,6]=>[4,1,7,5,3,2,6]=>[4,1,5,3,2,6]=>00001 [7,4,1,2,5,6,3]=>[4,1,7,6,2,3,5]=>[4,1,6,2,3,5]=>00000 [7,4,1,2,6,3,5]=>[4,1,7,6,3,5,2]=>[4,1,6,3,5,2]=>00000 [7,4,1,2,6,5,3]=>[4,1,7,5,6,3,2]=>[4,1,5,6,3,2]=>00000 [7,4,1,3,2,5,6]=>[4,3,1,7,2,5,6]=>[4,3,1,2,5,6]=>00011 [7,4,1,3,2,6,5]=>[4,3,1,7,6,2,5]=>[4,3,1,6,2,5]=>00000 [7,4,1,3,5,2,6]=>[4,7,1,5,2,3,6]=>[4,1,5,2,3,6]=>00001 [7,4,1,3,5,6,2]=>[4,7,1,6,2,5,3]=>[4,1,6,2,5,3]=>00000 [7,4,1,3,6,2,5]=>[4,7,1,6,3,2,5]=>[4,1,6,3,2,5]=>00000 [7,4,1,3,6,5,2]=>[4,7,1,5,6,2,3]=>[4,1,5,6,2,3]=>00000 [7,4,1,5,2,3,6]=>[4,7,2,5,3,1,6]=>[4,2,5,3,1,6]=>00001 [7,4,1,5,2,6,3]=>[4,7,5,6,1,2,3]=>[4,5,6,1,2,3]=>00000 [7,4,1,5,3,2,6]=>[4,3,7,5,2,1,6]=>[4,3,5,2,1,6]=>00001 [7,4,1,5,3,6,2]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>00000 [7,4,1,5,6,2,3]=>[4,7,2,6,1,3,5]=>[4,2,6,1,3,5]=>00000 [7,4,1,5,6,3,2]=>[4,3,7,6,1,2,5]=>[4,3,6,1,2,5]=>00000 [7,4,1,6,2,3,5]=>[4,7,2,6,3,5,1]=>[4,2,6,3,5,1]=>00000 [7,4,1,6,2,5,3]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>00000 [7,4,1,6,3,2,5]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>00000 [7,4,1,6,3,5,2]=>[4,7,5,6,2,3,1]=>[4,5,6,2,3,1]=>00000 [7,4,1,6,5,2,3]=>[4,7,2,5,6,3,1]=>[4,2,5,6,3,1]=>00000 [7,4,1,6,5,3,2]=>[4,3,7,5,6,2,1]=>[4,3,5,6,2,1]=>00000 [7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[2,4,1,3,5,6]=>00011 [7,4,2,1,3,6,5]=>[2,4,1,7,6,3,5]=>[2,4,1,6,3,5]=>00000 [7,4,2,1,5,3,6]=>[2,4,7,5,3,1,6]=>[2,4,5,3,1,6]=>00001 [7,4,2,1,5,6,3]=>[2,4,7,6,1,3,5]=>[2,4,6,1,3,5]=>00000 [7,4,2,1,6,3,5]=>[2,4,7,6,3,5,1]=>[2,4,6,3,5,1]=>00000 [7,4,2,1,6,5,3]=>[2,4,7,5,6,3,1]=>[2,4,5,6,3,1]=>00000 [7,4,2,3,1,5,6]=>[3,4,2,7,1,5,6]=>[3,4,2,1,5,6]=>00011 [7,4,2,3,1,6,5]=>[3,4,2,7,6,1,5]=>[3,4,2,6,1,5]=>00000 [7,4,2,3,5,1,6]=>[5,4,2,7,3,1,6]=>[5,4,2,3,1,6]=>00001 [7,4,2,3,5,6,1]=>[6,4,2,7,3,5,1]=>[6,4,2,3,5,1]=>00000 [7,4,2,3,6,1,5]=>[6,4,2,7,1,3,5]=>[6,4,2,1,3,5]=>00000 [7,4,2,3,6,5,1]=>[5,4,2,6,7,1,3]=>[5,4,2,6,1,3]=>00000 [7,4,2,5,1,3,6]=>[5,4,1,7,2,3,6]=>[5,4,1,2,3,6]=>00001 [7,4,2,5,1,6,3]=>[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>00000 [7,4,2,5,3,1,6]=>[3,5,4,7,1,2,6]=>[3,5,4,1,2,6]=>00001 [7,4,2,5,3,6,1]=>[6,4,7,5,3,2,1]=>[6,4,5,3,2,1]=>00000 [7,4,2,5,6,1,3]=>[6,4,1,7,3,2,5]=>[6,4,1,3,2,5]=>00000 [7,4,2,5,6,3,1]=>[3,6,4,7,2,1,5]=>[3,6,4,2,1,5]=>00000 [7,4,2,6,1,3,5]=>[6,4,1,7,2,5,3]=>[6,4,1,2,5,3]=>00000 [7,4,2,6,1,5,3]=>[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>00000 [7,4,2,6,3,1,5]=>[3,6,4,7,1,5,2]=>[3,6,4,1,5,2]=>00000 [7,4,2,6,3,5,1]=>[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>00000 [7,4,2,6,5,1,3]=>[5,4,1,6,7,3,2]=>[5,4,1,6,3,2]=>00000 [7,4,2,6,5,3,1]=>[3,5,4,6,7,2,1]=>[3,5,4,6,2,1]=>00000 [7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]=>[3,1,4,2,5,6]=>00011 [7,4,3,1,2,6,5]=>[3,1,4,7,6,2,5]=>[3,1,4,6,2,5]=>00000 [7,4,3,1,5,2,6]=>[3,4,7,5,1,2,6]=>[3,4,5,1,2,6]=>00001 [7,4,3,1,5,6,2]=>[3,4,7,6,1,5,2]=>[3,4,6,1,5,2]=>00000 [7,4,3,1,6,2,5]=>[3,4,7,6,2,1,5]=>[3,4,6,2,1,5]=>00000 [7,4,3,1,6,5,2]=>[3,4,7,5,6,1,2]=>[3,4,5,6,1,2]=>00000 [7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]=>[2,3,4,1,5,6]=>00011 [7,4,3,2,1,6,5]=>[2,3,4,7,6,1,5]=>[2,3,4,6,1,5]=>00000 [7,4,3,2,5,1,6]=>[5,3,4,7,2,1,6]=>[5,3,4,2,1,6]=>00001 [7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]=>[6,3,4,2,5,1]=>00000 [7,4,3,2,6,1,5]=>[6,3,4,7,1,2,5]=>[6,3,4,1,2,5]=>00000 [7,4,3,2,6,5,1]=>[5,3,4,6,7,1,2]=>[5,3,4,6,1,2]=>00000 [7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]=>[5,1,4,3,2,6]=>00001 [7,4,3,5,1,6,2]=>[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>00000 [7,4,3,5,2,1,6]=>[2,5,4,7,3,1,6]=>[2,5,4,3,1,6]=>00001 [7,4,3,5,2,6,1]=>[6,5,4,7,3,2,1]=>[6,5,4,3,2,1]=>00000 [7,4,3,5,6,1,2]=>[6,1,4,7,3,5,2]=>[6,1,4,3,5,2]=>00000 [7,4,3,5,6,2,1]=>[2,6,4,7,3,5,1]=>[2,6,4,3,5,1]=>00000 [7,4,3,6,1,2,5]=>[6,1,4,7,2,3,5]=>[6,1,4,2,3,5]=>00000 [7,4,3,6,1,5,2]=>[6,5,4,7,1,3,2]=>[6,5,4,1,3,2]=>00000 [7,4,3,6,2,1,5]=>[2,6,4,7,1,3,5]=>[2,6,4,1,3,5]=>00000 [7,4,3,6,2,5,1]=>[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>00000 [7,4,3,6,5,1,2]=>[5,1,4,6,7,2,3]=>[5,1,4,6,2,3]=>00000 [7,4,3,6,5,2,1]=>[2,5,4,6,7,1,3]=>[2,5,4,6,1,3]=>00000 [7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]=>[5,1,2,4,3,6]=>00001 [7,4,5,1,2,6,3]=>[5,1,6,7,4,2,3]=>[5,1,6,4,2,3]=>00000 [7,4,5,1,3,2,6]=>[5,3,1,7,4,2,6]=>[5,3,1,4,2,6]=>00001 [7,4,5,1,3,6,2]=>[5,6,1,7,4,3,2]=>[5,6,1,4,3,2]=>00000 [7,4,5,1,6,2,3]=>[5,6,2,7,4,1,3]=>[5,6,2,4,1,3]=>00000 [7,4,5,1,6,3,2]=>[5,3,6,7,4,1,2]=>[5,3,6,4,1,2]=>00000 [7,4,5,2,1,3,6]=>[2,5,1,7,4,3,6]=>[2,5,1,4,3,6]=>00001 [7,4,5,2,1,6,3]=>[2,5,6,7,4,1,3]=>[2,5,6,4,1,3]=>00000 [7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6]=>[3,5,2,4,1,6]=>00001 [7,4,5,2,3,6,1]=>[6,5,2,7,4,3,1]=>[6,5,2,4,3,1]=>00000 [7,4,5,2,6,1,3]=>[6,5,1,7,4,2,3]=>[6,5,1,4,2,3]=>00000 [7,4,5,2,6,3,1]=>[3,6,5,7,4,1,2]=>[3,6,5,4,1,2]=>00000 [7,4,5,3,1,2,6]=>[3,1,5,7,4,2,6]=>[3,1,5,4,2,6]=>00001 [7,4,5,3,1,6,2]=>[3,5,6,7,4,2,1]=>[3,5,6,4,2,1]=>00000 [7,4,5,3,2,1,6]=>[2,3,5,7,4,1,6]=>[2,3,5,4,1,6]=>00001 [7,4,5,3,2,6,1]=>[6,3,5,7,4,2,1]=>[6,3,5,4,2,1]=>00000 [7,4,5,3,6,1,2]=>[6,1,5,7,4,3,2]=>[6,1,5,4,3,2]=>00000 [7,4,5,3,6,2,1]=>[2,6,5,7,4,3,1]=>[2,6,5,4,3,1]=>00000 [7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]=>[6,1,2,4,5,3]=>00000 [7,4,5,6,1,3,2]=>[6,3,1,7,4,5,2]=>[6,3,1,4,5,2]=>00000 [7,4,5,6,2,1,3]=>[2,6,1,7,4,5,3]=>[2,6,1,4,5,3]=>00000 [7,4,5,6,2,3,1]=>[3,6,2,7,4,5,1]=>[3,6,2,4,5,1]=>00000 [7,4,5,6,3,1,2]=>[3,1,6,7,4,5,2]=>[3,1,6,4,5,2]=>00000 [7,4,5,6,3,2,1]=>[2,3,6,7,4,5,1]=>[2,3,6,4,5,1]=>00000 [7,4,6,1,2,3,5]=>[6,1,2,7,3,4,5]=>[6,1,2,3,4,5]=>00000 [7,4,6,1,2,5,3]=>[6,1,5,7,2,4,3]=>[6,1,5,2,4,3]=>00000 [7,4,6,1,3,2,5]=>[6,3,1,7,2,4,5]=>[6,3,1,2,4,5]=>00000 [7,4,6,1,3,5,2]=>[6,5,1,7,3,4,2]=>[6,5,1,3,4,2]=>00000 [7,4,6,1,5,2,3]=>[6,5,2,7,1,4,3]=>[6,5,2,1,4,3]=>00000 [7,4,6,1,5,3,2]=>[6,3,5,7,1,4,2]=>[6,3,5,1,4,2]=>00000 [7,4,6,2,1,3,5]=>[2,6,1,7,3,4,5]=>[2,6,1,3,4,5]=>00000 [7,4,6,2,1,5,3]=>[2,6,5,7,1,4,3]=>[2,6,5,1,4,3]=>00000 [7,4,6,2,3,1,5]=>[3,6,2,7,1,4,5]=>[3,6,2,1,4,5]=>00000 [7,4,6,2,3,5,1]=>[5,6,2,7,3,4,1]=>[5,6,2,3,4,1]=>00000 [7,4,6,2,5,1,3]=>[5,6,1,7,2,4,3]=>[5,6,1,2,4,3]=>00000 [7,4,6,2,5,3,1]=>[3,5,6,7,1,4,2]=>[3,5,6,1,4,2]=>00000 [7,4,6,3,1,2,5]=>[3,1,6,7,2,4,5]=>[3,1,6,2,4,5]=>00000 [7,4,6,3,1,5,2]=>[3,6,5,7,2,4,1]=>[3,6,5,2,4,1]=>00000 [7,4,6,3,2,1,5]=>[2,3,6,7,1,4,5]=>[2,3,6,1,4,5]=>00000 [7,4,6,3,2,5,1]=>[5,3,6,7,2,4,1]=>[5,3,6,2,4,1]=>00000 [7,4,6,3,5,1,2]=>[5,1,6,7,3,4,2]=>[5,1,6,3,4,2]=>00000 [7,4,6,3,5,2,1]=>[2,5,6,7,3,4,1]=>[2,5,6,3,4,1]=>00000 [7,4,6,5,1,2,3]=>[5,1,2,6,7,3,4]=>[5,1,2,6,3,4]=>00000 [7,4,6,5,1,3,2]=>[5,3,1,6,7,2,4]=>[5,3,1,6,2,4]=>00000 [7,4,6,5,2,1,3]=>[2,5,1,6,7,3,4]=>[2,5,1,6,3,4]=>00000 [7,4,6,5,2,3,1]=>[3,5,2,6,7,1,4]=>[3,5,2,6,1,4]=>00000 [7,4,6,5,3,1,2]=>[3,1,5,6,7,2,4]=>[3,1,5,6,2,4]=>00000 [7,4,6,5,3,2,1]=>[2,3,5,6,7,1,4]=>[2,3,5,6,1,4]=>00000 [7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]=>[5,1,2,3,4,6]=>00001 [7,5,1,2,3,6,4]=>[5,1,2,7,6,4,3]=>[5,1,2,6,4,3]=>00000 [7,5,1,2,4,3,6]=>[5,1,4,2,7,3,6]=>[5,1,4,2,3,6]=>00001 [7,5,1,2,4,6,3]=>[5,1,7,2,6,3,4]=>[5,1,2,6,3,4]=>00000 [7,5,1,2,6,3,4]=>[5,1,7,3,6,4,2]=>[5,1,3,6,4,2]=>00000 [7,5,1,2,6,4,3]=>[5,1,4,7,6,3,2]=>[5,1,4,6,3,2]=>00000 [7,5,1,3,2,4,6]=>[5,3,1,2,7,4,6]=>[5,3,1,2,4,6]=>00001 [7,5,1,3,2,6,4]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>00000 [7,5,1,3,4,2,6]=>[5,4,1,3,7,2,6]=>[5,4,1,3,2,6]=>00001 [7,5,1,3,4,6,2]=>[5,7,1,2,6,4,3]=>[5,1,2,6,4,3]=>00000 [7,5,1,3,6,2,4]=>[5,7,1,3,6,2,4]=>[5,1,3,6,2,4]=>00000 [7,5,1,3,6,4,2]=>[5,4,1,7,6,2,3]=>[5,4,1,6,2,3]=>00000 [7,5,1,4,2,3,6]=>[5,4,2,1,7,3,6]=>[5,4,2,1,3,6]=>00001 [7,5,1,4,2,6,3]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>00000 [7,5,1,4,3,2,6]=>[5,3,4,1,7,2,6]=>[5,3,4,1,2,6]=>00001 [7,5,1,4,3,6,2]=>[5,7,4,1,6,2,3]=>[5,4,1,6,2,3]=>00000 [7,5,1,4,6,2,3]=>[5,7,2,1,6,3,4]=>[5,2,1,6,3,4]=>00000 [7,5,1,4,6,3,2]=>[5,3,7,1,6,2,4]=>[5,3,1,6,2,4]=>00000 [7,5,1,6,2,3,4]=>[5,7,2,3,6,4,1]=>[5,2,3,6,4,1]=>00000 [7,5,1,6,2,4,3]=>[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>00000 [7,5,1,6,3,2,4]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>00000 [7,5,1,6,3,4,2]=>[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>00000 [7,5,1,6,4,2,3]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>00000 [7,5,1,6,4,3,2]=>[5,3,4,7,6,2,1]=>[5,3,4,6,2,1]=>00000 [7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]=>[2,5,1,3,4,6]=>00001 [7,5,2,1,3,6,4]=>[2,5,1,7,6,4,3]=>[2,5,1,6,4,3]=>00000 [7,5,2,1,4,3,6]=>[2,5,4,1,7,3,6]=>[2,5,4,1,3,6]=>00001 [7,5,2,1,4,6,3]=>[2,5,7,1,6,3,4]=>[2,5,1,6,3,4]=>00000 [7,5,2,1,6,3,4]=>[2,5,7,3,6,4,1]=>[2,5,3,6,4,1]=>00000 [7,5,2,1,6,4,3]=>[2,5,4,7,6,3,1]=>[2,5,4,6,3,1]=>00000 [7,5,2,3,1,4,6]=>[3,5,2,1,7,4,6]=>[3,5,2,1,4,6]=>00001 [7,5,2,3,1,6,4]=>[3,5,2,7,6,4,1]=>[3,5,2,6,4,1]=>00000 [7,5,2,3,4,1,6]=>[4,5,2,3,7,1,6]=>[4,5,2,3,1,6]=>00001 [7,5,2,3,4,6,1]=>[6,5,2,3,7,4,1]=>[6,5,2,3,4,1]=>00000 [7,5,2,3,6,1,4]=>[6,5,2,1,7,3,4]=>[6,5,2,1,3,4]=>00000 [7,5,2,3,6,4,1]=>[4,6,2,5,7,1,3]=>[4,6,2,5,1,3]=>00000 [7,5,2,4,1,3,6]=>[4,5,1,2,7,3,6]=>[4,5,1,2,3,6]=>00001 [7,5,2,4,1,6,3]=>[4,5,7,2,6,3,1]=>[4,5,2,6,3,1]=>00000 [7,5,2,4,3,1,6]=>[3,4,5,1,7,2,6]=>[3,4,5,1,2,6]=>00001 [7,5,2,4,3,6,1]=>[6,5,4,2,7,3,1]=>[6,5,4,2,3,1]=>00000 [7,5,2,4,6,1,3]=>[6,5,1,3,7,2,4]=>[6,5,1,3,2,4]=>00000 [7,5,2,4,6,3,1]=>[3,6,5,2,7,1,4]=>[3,6,5,2,1,4]=>00000 [7,5,2,6,1,3,4]=>[6,5,1,2,7,4,3]=>[6,5,1,2,4,3]=>00000 [7,5,2,6,1,4,3]=>[6,5,4,1,7,2,3]=>[6,5,4,1,2,3]=>00000 [7,5,2,6,3,1,4]=>[3,6,5,1,7,4,2]=>[3,6,5,1,4,2]=>00000 [7,5,2,6,3,4,1]=>[4,5,7,3,6,1,2]=>[4,5,3,6,1,2]=>00000 [7,5,2,6,4,1,3]=>[4,6,1,5,7,3,2]=>[4,6,1,5,3,2]=>00000 [7,5,2,6,4,3,1]=>[3,4,6,5,7,2,1]=>[3,4,6,5,2,1]=>00000 [7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]=>[3,1,5,2,4,6]=>00001 [7,5,3,1,2,6,4]=>[3,1,5,7,6,4,2]=>[3,1,5,6,4,2]=>00000 [7,5,3,1,4,2,6]=>[3,5,4,2,7,1,6]=>[3,5,4,2,1,6]=>00001 [7,5,3,1,4,6,2]=>[3,5,7,1,6,4,2]=>[3,5,1,6,4,2]=>00000 [7,5,3,1,6,2,4]=>[3,5,7,2,6,1,4]=>[3,5,2,6,1,4]=>00000 [7,5,3,1,6,4,2]=>[3,5,4,7,6,1,2]=>[3,5,4,6,1,2]=>00000 [7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]=>[2,3,5,1,4,6]=>00001 [7,5,3,2,1,6,4]=>[2,3,5,7,6,4,1]=>[2,3,5,6,4,1]=>00000 [7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]=>[4,3,5,2,1,6]=>00001 [7,5,3,2,4,6,1]=>[6,3,5,2,7,4,1]=>[6,3,5,2,4,1]=>00000 [7,5,3,2,6,1,4]=>[6,3,5,1,7,2,4]=>[6,3,5,1,2,4]=>00000 [7,5,3,2,6,4,1]=>[4,3,6,5,7,1,2]=>[4,3,6,5,1,2]=>00000 [7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]=>[4,1,5,3,2,6]=>00001 [7,5,3,4,1,6,2]=>[4,6,5,3,7,1,2]=>[4,6,5,3,1,2]=>00000 [7,5,3,4,2,1,6]=>[2,4,5,3,7,1,6]=>[2,4,5,3,1,6]=>00001 [7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]=>[6,4,5,3,2,1]=>00000 [7,5,3,4,6,1,2]=>[6,1,5,3,7,4,2]=>[6,1,5,3,4,2]=>00000 [7,5,3,4,6,2,1]=>[2,6,5,3,7,4,1]=>[2,6,5,3,4,1]=>00000 [7,5,3,6,1,2,4]=>[6,1,5,2,7,3,4]=>[6,1,5,2,3,4]=>00000 [7,5,3,6,1,4,2]=>[6,4,5,1,7,3,2]=>[6,4,5,1,3,2]=>00000 [7,5,3,6,2,1,4]=>[2,6,5,1,7,3,4]=>[2,6,5,1,3,4]=>00000 [7,5,3,6,2,4,1]=>[4,6,5,2,7,3,1]=>[4,6,5,2,3,1]=>00000 [7,5,3,6,4,1,2]=>[4,1,6,5,7,2,3]=>[4,1,6,5,2,3]=>00000 [7,5,3,6,4,2,1]=>[2,4,6,5,7,1,3]=>[2,4,6,5,1,3]=>00000 [7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]=>[4,1,2,5,3,6]=>00001 [7,5,4,1,2,6,3]=>[4,1,5,7,6,2,3]=>[4,1,5,6,2,3]=>00000 [7,5,4,1,3,2,6]=>[4,3,1,5,7,2,6]=>[4,3,1,5,2,6]=>00001 [7,5,4,1,3,6,2]=>[4,5,1,7,6,3,2]=>[4,5,1,6,3,2]=>00000 [7,5,4,1,6,2,3]=>[4,5,2,7,6,1,3]=>[4,5,2,6,1,3]=>00000 [7,5,4,1,6,3,2]=>[4,3,5,7,6,1,2]=>[4,3,5,6,1,2]=>00000 [7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]=>[2,4,1,5,3,6]=>00001 [7,5,4,2,1,6,3]=>[2,4,5,7,6,1,3]=>[2,4,5,6,1,3]=>00000 [7,5,4,2,3,1,6]=>[3,4,2,5,7,1,6]=>[3,4,2,5,1,6]=>00001 [7,5,4,2,3,6,1]=>[6,4,2,5,7,3,1]=>[6,4,2,5,3,1]=>00000 [7,5,4,2,6,1,3]=>[6,4,1,5,7,2,3]=>[6,4,1,5,2,3]=>00000 [7,5,4,2,6,3,1]=>[3,6,4,5,7,1,2]=>[3,6,4,5,1,2]=>00000 [7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]=>[3,1,4,5,2,6]=>00001 [7,5,4,3,1,6,2]=>[3,4,5,7,6,2,1]=>[3,4,5,6,2,1]=>00000 [7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]=>[2,3,4,5,1,6]=>00001 [7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]=>[6,3,4,5,2,1]=>00000 [7,5,4,3,6,1,2]=>[6,1,4,5,7,3,2]=>[6,1,4,5,3,2]=>00000 [7,5,4,3,6,2,1]=>[2,6,4,5,7,3,1]=>[2,6,4,5,3,1]=>00000 [7,5,4,6,1,2,3]=>[6,1,2,5,7,4,3]=>[6,1,2,5,4,3]=>00000 [7,5,4,6,1,3,2]=>[6,3,1,5,7,4,2]=>[6,3,1,5,4,2]=>00000 [7,5,4,6,2,1,3]=>[2,6,1,5,7,4,3]=>[2,6,1,5,4,3]=>00000 [7,5,4,6,2,3,1]=>[3,6,2,5,7,4,1]=>[3,6,2,5,4,1]=>00000 [7,5,4,6,3,1,2]=>[3,1,6,5,7,4,2]=>[3,1,6,5,4,2]=>00000 [7,5,4,6,3,2,1]=>[2,3,6,5,7,4,1]=>[2,3,6,5,4,1]=>00000 [7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]=>[6,1,2,3,5,4]=>00000 [7,5,6,1,2,4,3]=>[6,1,4,2,7,5,3]=>[6,1,4,2,5,3]=>00000 [7,5,6,1,3,2,4]=>[6,3,1,2,7,5,4]=>[6,3,1,2,5,4]=>00000 [7,5,6,1,3,4,2]=>[6,4,1,3,7,5,2]=>[6,4,1,3,5,2]=>00000 [7,5,6,1,4,2,3]=>[6,4,2,1,7,5,3]=>[6,4,2,1,5,3]=>00000 [7,5,6,1,4,3,2]=>[6,3,4,1,7,5,2]=>[6,3,4,1,5,2]=>00000 [7,5,6,2,1,3,4]=>[2,6,1,3,7,5,4]=>[2,6,1,3,5,4]=>00000 [7,5,6,2,1,4,3]=>[2,6,4,1,7,5,3]=>[2,6,4,1,5,3]=>00000 [7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4]=>[3,6,2,1,5,4]=>00000 [7,5,6,2,3,4,1]=>[4,6,2,3,7,5,1]=>[4,6,2,3,5,1]=>00000 [7,5,6,2,4,1,3]=>[4,6,1,2,7,5,3]=>[4,6,1,2,5,3]=>00000 [7,5,6,2,4,3,1]=>[3,4,6,1,7,5,2]=>[3,4,6,1,5,2]=>00000 [7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4]=>[3,1,6,2,5,4]=>00000 [7,5,6,3,1,4,2]=>[3,6,4,2,7,5,1]=>[3,6,4,2,5,1]=>00000 [7,5,6,3,2,1,4]=>[2,3,6,1,7,5,4]=>[2,3,6,1,5,4]=>00000 [7,5,6,3,2,4,1]=>[4,3,6,2,7,5,1]=>[4,3,6,2,5,1]=>00000 [7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2]=>[4,1,6,3,5,2]=>00000 [7,5,6,3,4,2,1]=>[2,4,6,3,7,5,1]=>[2,4,6,3,5,1]=>00000 [7,5,6,4,1,2,3]=>[4,1,2,6,7,5,3]=>[4,1,2,6,5,3]=>00000 [7,5,6,4,1,3,2]=>[4,3,1,6,7,5,2]=>[4,3,1,6,5,2]=>00000 [7,5,6,4,2,1,3]=>[2,4,1,6,7,5,3]=>[2,4,1,6,5,3]=>00000 [7,5,6,4,2,3,1]=>[3,4,2,6,7,5,1]=>[3,4,2,6,5,1]=>00000 [7,5,6,4,3,1,2]=>[3,1,4,6,7,5,2]=>[3,1,4,6,5,2]=>00000 [7,5,6,4,3,2,1]=>[2,3,4,6,7,5,1]=>[2,3,4,6,5,1]=>00000 [7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]=>[6,1,2,3,4,5]=>00000 [7,6,1,2,3,5,4]=>[6,1,2,5,3,7,4]=>[6,1,2,5,3,4]=>00000 [7,6,1,2,4,3,5]=>[6,1,4,2,3,7,5]=>[6,1,4,2,3,5]=>00000 [7,6,1,2,4,5,3]=>[6,1,5,2,4,7,3]=>[6,1,5,2,4,3]=>00000 [7,6,1,2,5,3,4]=>[6,1,5,3,2,7,4]=>[6,1,5,3,2,4]=>00000 [7,6,1,2,5,4,3]=>[6,1,4,5,2,7,3]=>[6,1,4,5,2,3]=>00000 [7,6,1,3,2,4,5]=>[6,3,1,2,4,7,5]=>[6,3,1,2,4,5]=>00000 [7,6,1,3,2,5,4]=>[6,3,1,5,2,7,4]=>[6,3,1,5,2,4]=>00000 [7,6,1,3,4,2,5]=>[6,4,1,3,2,7,5]=>[6,4,1,3,2,5]=>00000 [7,6,1,3,4,5,2]=>[6,5,1,2,3,7,4]=>[6,5,1,2,3,4]=>00000 [7,6,1,3,5,2,4]=>[6,5,1,3,4,7,2]=>[6,5,1,3,4,2]=>00000 [7,6,1,3,5,4,2]=>[6,4,1,5,3,7,2]=>[6,4,1,5,3,2]=>00000 [7,6,1,4,2,3,5]=>[6,4,2,1,3,7,5]=>[6,4,2,1,3,5]=>00000 [7,6,1,4,2,5,3]=>[6,4,5,1,2,7,3]=>[6,4,5,1,2,3]=>00000 [7,6,1,4,3,2,5]=>[6,3,4,1,2,7,5]=>[6,3,4,1,2,5]=>00000 [7,6,1,4,3,5,2]=>[6,5,4,1,3,7,2]=>[6,5,4,1,3,2]=>00000 [7,6,1,4,5,2,3]=>[6,5,2,1,4,7,3]=>[6,5,2,1,4,3]=>00000 [7,6,1,4,5,3,2]=>[6,3,5,1,4,7,2]=>[6,3,5,1,4,2]=>00000 [7,6,1,5,2,3,4]=>[6,5,2,3,1,7,4]=>[6,5,2,3,1,4]=>00000 [7,6,1,5,2,4,3]=>[6,5,4,2,1,7,3]=>[6,5,4,2,1,3]=>00000 [7,6,1,5,3,2,4]=>[6,3,5,2,1,7,4]=>[6,3,5,2,1,4]=>00000 [7,6,1,5,3,4,2]=>[6,4,5,3,1,7,2]=>[6,4,5,3,1,2]=>00000 [7,6,1,5,4,2,3]=>[6,4,2,5,1,7,3]=>[6,4,2,5,1,3]=>00000 [7,6,1,5,4,3,2]=>[6,3,4,5,1,7,2]=>[6,3,4,5,1,2]=>00000 [7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]=>[2,6,1,3,4,5]=>00000 [7,6,2,1,3,5,4]=>[2,6,1,5,3,7,4]=>[2,6,1,5,3,4]=>00000 [7,6,2,1,4,3,5]=>[2,6,4,1,3,7,5]=>[2,6,4,1,3,5]=>00000 [7,6,2,1,4,5,3]=>[2,6,5,1,4,7,3]=>[2,6,5,1,4,3]=>00000 [7,6,2,1,5,3,4]=>[2,6,5,3,1,7,4]=>[2,6,5,3,1,4]=>00000 [7,6,2,1,5,4,3]=>[2,6,4,5,1,7,3]=>[2,6,4,5,1,3]=>00000 [7,6,2,3,1,4,5]=>[3,6,2,1,4,7,5]=>[3,6,2,1,4,5]=>00000 [7,6,2,3,1,5,4]=>[3,6,2,5,1,7,4]=>[3,6,2,5,1,4]=>00000 [7,6,2,3,4,1,5]=>[4,6,2,3,1,7,5]=>[4,6,2,3,1,5]=>00000 [7,6,2,3,4,5,1]=>[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>00000 [7,6,2,3,5,1,4]=>[5,6,2,1,3,7,4]=>[5,6,2,1,3,4]=>00000 [7,6,2,3,5,4,1]=>[4,5,2,6,1,7,3]=>[4,5,2,6,1,3]=>00000 [7,6,2,4,1,3,5]=>[4,6,1,2,3,7,5]=>[4,6,1,2,3,5]=>00000 [7,6,2,4,1,5,3]=>[4,6,5,2,1,7,3]=>[4,6,5,2,1,3]=>00000 [7,6,2,4,3,1,5]=>[3,4,6,1,2,7,5]=>[3,4,6,1,2,5]=>00000 [7,6,2,4,3,5,1]=>[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>00000 [7,6,2,4,5,1,3]=>[5,6,1,3,2,7,4]=>[5,6,1,3,2,4]=>00000 [7,6,2,4,5,3,1]=>[3,5,6,2,1,7,4]=>[3,5,6,2,1,4]=>00000 [7,6,2,5,1,3,4]=>[5,6,1,2,4,7,3]=>[5,6,1,2,4,3]=>00000 [7,6,2,5,1,4,3]=>[5,6,4,1,2,7,3]=>[5,6,4,1,2,3]=>00000 [7,6,2,5,3,1,4]=>[3,5,6,1,4,7,2]=>[3,5,6,1,4,2]=>00000 [7,6,2,5,3,4,1]=>[4,6,5,3,2,7,1]=>[4,6,5,3,2,1]=>00000 [7,6,2,5,4,1,3]=>[4,5,1,6,3,7,2]=>[4,5,1,6,3,2]=>00000 [7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,1]=>00000 [7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]=>[3,1,6,2,4,5]=>00000 [7,6,3,1,2,5,4]=>[3,1,6,5,2,7,4]=>[3,1,6,5,2,4]=>00000 [7,6,3,1,4,2,5]=>[3,6,4,2,1,7,5]=>[3,6,4,2,1,5]=>00000 [7,6,3,1,4,5,2]=>[3,6,5,1,2,7,4]=>[3,6,5,1,2,4]=>00000 [7,6,3,1,5,2,4]=>[3,6,5,2,4,7,1]=>[3,6,5,2,4,1]=>00000 [7,6,3,1,5,4,2]=>[3,6,4,5,2,7,1]=>[3,6,4,5,2,1]=>00000 [7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]=>[2,3,6,1,4,5]=>00000 [7,6,3,2,1,5,4]=>[2,3,6,5,1,7,4]=>[2,3,6,5,1,4]=>00000 [7,6,3,2,4,1,5]=>[4,3,6,2,1,7,5]=>[4,3,6,2,1,5]=>00000 [7,6,3,2,4,5,1]=>[5,3,6,2,4,7,1]=>[5,3,6,2,4,1]=>00000 [7,6,3,2,5,1,4]=>[5,3,6,1,2,7,4]=>[5,3,6,1,2,4]=>00000 [7,6,3,2,5,4,1]=>[4,3,5,6,1,7,2]=>[4,3,5,6,1,2]=>00000 [7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5]=>[4,1,6,3,2,5]=>00000 [7,6,3,4,1,5,2]=>[4,5,6,3,1,7,2]=>[4,5,6,3,1,2]=>00000 [7,6,3,4,2,1,5]=>[2,4,6,3,1,7,5]=>[2,4,6,3,1,5]=>00000 [7,6,3,4,2,5,1]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>00000 [7,6,3,4,5,1,2]=>[5,1,6,3,4,7,2]=>[5,1,6,3,4,2]=>00000 [7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]=>[2,5,6,3,4,1]=>00000 [7,6,3,5,1,2,4]=>[5,1,6,2,3,7,4]=>[5,1,6,2,3,4]=>00000 [7,6,3,5,1,4,2]=>[5,4,6,1,3,7,2]=>[5,4,6,1,3,2]=>00000 [7,6,3,5,2,1,4]=>[2,5,6,1,3,7,4]=>[2,5,6,1,3,4]=>00000 [7,6,3,5,2,4,1]=>[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>00000 [7,6,3,5,4,1,2]=>[4,1,5,6,2,7,3]=>[4,1,5,6,2,3]=>00000 [7,6,3,5,4,2,1]=>[2,4,5,6,1,7,3]=>[2,4,5,6,1,3]=>00000 [7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]=>[4,1,2,6,3,5]=>00000 [7,6,4,1,2,5,3]=>[4,1,6,5,3,7,2]=>[4,1,6,5,3,2]=>00000 [7,6,4,1,3,2,5]=>[4,3,1,6,2,7,5]=>[4,3,1,6,2,5]=>00000 [7,6,4,1,3,5,2]=>[4,6,1,5,2,7,3]=>[4,6,1,5,2,3]=>00000 [7,6,4,1,5,2,3]=>[4,6,2,5,3,7,1]=>[4,6,2,5,3,1]=>00000 [7,6,4,1,5,3,2]=>[4,3,6,5,2,7,1]=>[4,3,6,5,2,1]=>00000 [7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]=>[2,4,1,6,3,5]=>00000 [7,6,4,2,1,5,3]=>[2,4,6,5,3,7,1]=>[2,4,6,5,3,1]=>00000 [7,6,4,2,3,1,5]=>[3,4,2,6,1,7,5]=>[3,4,2,6,1,5]=>00000 [7,6,4,2,3,5,1]=>[5,4,2,6,3,7,1]=>[5,4,2,6,3,1]=>00000 [7,6,4,2,5,1,3]=>[5,4,1,6,2,7,3]=>[5,4,1,6,2,3]=>00000 [7,6,4,2,5,3,1]=>[3,5,4,6,1,7,2]=>[3,5,4,6,1,2]=>00000 [7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]=>[3,1,4,6,2,5]=>00000 [7,6,4,3,1,5,2]=>[3,4,6,5,1,7,2]=>[3,4,6,5,1,2]=>00000 [7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]=>[2,3,4,6,1,5]=>00000 [7,6,4,3,2,5,1]=>[5,3,4,6,2,7,1]=>[5,3,4,6,2,1]=>00000 [7,6,4,3,5,1,2]=>[5,1,4,6,3,7,2]=>[5,1,4,6,3,2]=>00000 [7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]=>[2,5,4,6,3,1]=>00000 [7,6,4,5,1,2,3]=>[5,1,2,6,4,7,3]=>[5,1,2,6,4,3]=>00000 [7,6,4,5,1,3,2]=>[5,3,1,6,4,7,2]=>[5,3,1,6,4,2]=>00000 [7,6,4,5,2,1,3]=>[2,5,1,6,4,7,3]=>[2,5,1,6,4,3]=>00000 [7,6,4,5,2,3,1]=>[3,5,2,6,4,7,1]=>[3,5,2,6,4,1]=>00000 [7,6,4,5,3,1,2]=>[3,1,5,6,4,7,2]=>[3,1,5,6,4,2]=>00000 [7,6,4,5,3,2,1]=>[2,3,5,6,4,7,1]=>[2,3,5,6,4,1]=>00000 [7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]=>[5,1,2,3,6,4]=>00000 [7,6,5,1,2,4,3]=>[5,1,4,2,6,7,3]=>[5,1,4,2,6,3]=>00000 [7,6,5,1,3,2,4]=>[5,3,1,2,6,7,4]=>[5,3,1,2,6,4]=>00000 [7,6,5,1,3,4,2]=>[5,4,1,3,6,7,2]=>[5,4,1,3,6,2]=>00000 [7,6,5,1,4,2,3]=>[5,4,2,1,6,7,3]=>[5,4,2,1,6,3]=>00000 [7,6,5,1,4,3,2]=>[5,3,4,1,6,7,2]=>[5,3,4,1,6,2]=>00000 [7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]=>[2,5,1,3,6,4]=>00000 [7,6,5,2,1,4,3]=>[2,5,4,1,6,7,3]=>[2,5,4,1,6,3]=>00000 [7,6,5,2,3,1,4]=>[3,5,2,1,6,7,4]=>[3,5,2,1,6,4]=>00000 [7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>00000 [7,6,5,2,4,1,3]=>[4,5,1,2,6,7,3]=>[4,5,1,2,6,3]=>00000 [7,6,5,2,4,3,1]=>[3,4,5,1,6,7,2]=>[3,4,5,1,6,2]=>00000 [7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]=>[3,1,5,2,6,4]=>00000 [7,6,5,3,1,4,2]=>[3,5,4,2,6,7,1]=>[3,5,4,2,6,1]=>00000 [7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]=>[2,3,5,1,6,4]=>00000 [7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,1]=>00000 [7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2]=>[4,1,5,3,6,2]=>00000 [7,6,5,3,4,2,1]=>[2,4,5,3,6,7,1]=>[2,4,5,3,6,1]=>00000 [7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]=>[4,1,2,5,6,3]=>00000 [7,6,5,4,1,3,2]=>[4,3,1,5,6,7,2]=>[4,3,1,5,6,2]=>00000 [7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]=>[2,4,1,5,6,3]=>00000 [7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,1]=>00000 [7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]=>[3,1,4,5,6,2]=>00000 [7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,1]=>00000 [7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1]=>[2,3,4,6,7,5,1]=>000000 [6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1]=>[2,3,4,7,6,5,1]=>000000 [7,5,6,8,4,3,2,1]=>[2,3,4,8,7,5,6,1]=>[2,3,4,7,5,6,1]=>000000 [6,5,7,8,4,3,2,1]=>[2,3,4,8,6,5,7,1]=>[2,3,4,6,5,7,1]=>000000 [5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1]=>[2,3,4,5,6,7,1]=>000000 [7,8,5,6,3,4,2,1]=>[2,4,6,3,8,5,7,1]=>[2,4,6,3,5,7,1]=>000000 [5,6,7,8,3,4,2,1]=>[2,4,8,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>000000 [8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]=>[2,6,4,7,3,5,1]=>000000 [6,7,5,8,4,2,3,1]=>[3,4,2,8,7,6,5,1]=>[3,4,2,7,6,5,1]=>000000 [5,6,7,8,4,2,3,1]=>[3,4,2,8,5,6,7,1]=>[3,4,2,5,6,7,1]=>000000 [8,6,7,4,5,2,3,1]=>[3,5,2,7,4,8,6,1]=>[3,5,2,7,4,6,1]=>000000 [8,7,4,5,6,2,3,1]=>[3,6,2,7,4,5,8,1]=>[3,6,2,7,4,5,1]=>000000 [6,5,7,4,8,2,3,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>000000 [5,6,7,8,3,2,4,1]=>[4,3,8,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>000000 [5,6,7,8,2,3,4,1]=>[4,8,2,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>000000 [8,7,5,3,2,4,6,1]=>[6,3,5,2,7,4,8,1]=>[6,3,5,2,7,4,1]=>000000 [8,5,3,4,2,6,7,1]=>[7,4,5,3,8,2,6,1]=>[7,4,5,3,2,6,1]=>000000 [8,5,4,2,3,6,7,1]=>[7,4,2,5,8,3,6,1]=>[7,4,2,5,3,6,1]=>000000 [5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [6,7,5,8,4,3,1,2]=>[3,1,4,8,7,6,5,2]=>[3,1,4,7,6,5,2]=>000000 [5,6,7,8,4,3,1,2]=>[3,1,4,8,5,6,7,2]=>[3,1,4,5,6,7,2]=>000000 [7,8,4,5,6,3,1,2]=>[3,1,6,8,4,5,7,2]=>[3,1,6,4,5,7,2]=>000000 [7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,7,2]=>[4,1,6,3,5,7,2]=>000000 [8,5,6,7,3,4,1,2]=>[4,1,7,3,8,5,6,2]=>[4,1,7,3,5,6,2]=>000000 [6,5,7,8,3,4,1,2]=>[4,1,8,3,6,5,7,2]=>[4,1,3,6,5,7,2]=>000000 [5,6,7,8,3,4,1,2]=>[4,1,8,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>000000 [7,8,4,3,5,6,1,2]=>[6,1,4,8,3,5,7,2]=>[6,1,4,3,5,7,2]=>000000 [5,4,3,6,7,8,1,2]=>[8,1,4,5,3,6,7,2]=>[1,4,5,3,6,7,2]=>100000 [7,8,5,6,4,2,1,3]=>[2,4,1,6,8,5,7,3]=>[2,4,1,6,5,7,3]=>000000 [6,7,5,8,4,2,1,3]=>[2,4,1,8,7,6,5,3]=>[2,4,1,7,6,5,3]=>000000 [5,6,7,8,4,2,1,3]=>[2,4,1,8,5,6,7,3]=>[2,4,1,5,6,7,3]=>000000 [7,8,5,6,4,1,2,3]=>[4,1,2,6,8,5,7,3]=>[4,1,2,6,5,7,3]=>000000 [8,5,6,7,4,1,2,3]=>[4,1,2,7,8,5,6,3]=>[4,1,2,7,5,6,3]=>000000 [6,7,5,8,4,1,2,3]=>[4,1,2,8,7,6,5,3]=>[4,1,2,7,6,5,3]=>000000 [7,5,6,8,4,1,2,3]=>[4,1,2,8,7,5,6,3]=>[4,1,2,7,5,6,3]=>000000 [5,6,7,8,4,1,2,3]=>[4,1,2,8,5,6,7,3]=>[4,1,2,5,6,7,3]=>000000 [7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3]=>[1,2,5,6,7,4,3]=>110000 [7,6,8,5,3,2,1,4]=>[2,3,5,1,8,7,6,4]=>[2,3,5,1,7,6,4]=>000000 [5,6,7,8,3,2,1,4]=>[2,3,8,1,5,6,7,4]=>[2,3,1,5,6,7,4]=>001000 [6,7,5,8,2,3,1,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>001000 [5,6,7,8,2,3,1,4]=>[3,8,2,1,5,6,7,4]=>[3,2,1,5,6,7,4]=>001000 [7,8,5,6,3,1,2,4]=>[3,1,6,2,8,5,7,4]=>[3,1,6,2,5,7,4]=>000000 [5,6,7,8,3,1,2,4]=>[3,1,8,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>001000 [7,8,5,6,2,1,3,4]=>[2,6,1,3,8,5,7,4]=>[2,6,1,3,5,7,4]=>000000 [6,5,7,8,2,1,3,4]=>[2,8,1,3,6,5,7,4]=>[2,1,3,6,5,7,4]=>011000 [5,6,7,8,2,1,3,4]=>[2,8,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>011000 [8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4]=>[5,1,2,3,6,7,4]=>000000 [7,8,6,5,1,2,3,4]=>[5,1,2,3,6,8,7,4]=>[5,1,2,3,6,7,4]=>000000 [8,6,7,5,1,2,3,4]=>[5,1,2,3,7,8,6,4]=>[5,1,2,3,7,6,4]=>000000 [7,6,8,5,1,2,3,4]=>[5,1,2,3,8,7,6,4]=>[5,1,2,3,7,6,4]=>000000 [6,7,8,5,1,2,3,4]=>[5,1,2,3,8,6,7,4]=>[5,1,2,3,6,7,4]=>000000 [8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,4]=>[6,1,2,3,7,5,4]=>000000 [7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,7,4]=>[6,1,2,3,5,7,4]=>000000 [8,6,5,7,1,2,3,4]=>[7,1,2,3,6,8,5,4]=>[7,1,2,3,6,5,4]=>000000 [8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,4]=>[7,1,2,3,5,6,4]=>000000 [7,6,5,8,1,2,3,4]=>[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,5,4]=>111000 [6,7,5,8,1,2,3,4]=>[8,1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>111000 [7,5,6,8,1,2,3,4]=>[8,1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4]=>111000 [6,5,7,8,1,2,3,4]=>[8,1,2,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>111000 [5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>111000 [7,6,8,4,3,2,1,5]=>[2,3,4,8,1,7,6,5]=>[2,3,4,1,7,6,5]=>000100 [6,7,8,4,3,2,1,5]=>[2,3,4,8,1,6,7,5]=>[2,3,4,1,6,7,5]=>000100 [7,8,6,3,4,2,1,5]=>[2,4,6,3,1,8,7,5]=>[2,4,6,3,1,7,5]=>000000 [7,8,6,4,2,1,3,5]=>[2,4,1,6,3,8,7,5]=>[2,4,1,6,3,7,5]=>000000 [8,6,7,4,2,1,3,5]=>[2,4,1,7,3,8,6,5]=>[2,4,1,7,3,6,5]=>000000 [7,8,6,4,1,2,3,5]=>[4,1,2,6,3,8,7,5]=>[4,1,2,6,3,7,5]=>000000 [7,8,6,3,1,2,4,5]=>[3,1,6,2,4,8,7,5]=>[3,1,6,2,4,7,5]=>000000 [7,6,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>111100 [8,7,5,3,4,2,1,6]=>[2,4,5,3,7,1,8,6]=>[2,4,5,3,7,1,6]=>000000 [8,7,5,3,2,4,1,6]=>[4,3,5,2,7,1,8,6]=>[4,3,5,2,7,1,6]=>000000 [8,7,5,3,4,1,2,6]=>[4,1,5,3,7,2,8,6]=>[4,1,5,3,7,2,6]=>000000 [7,8,5,4,2,1,3,6]=>[2,4,1,5,8,3,7,6]=>[2,4,1,5,3,7,6]=>000010 [8,7,5,3,2,1,4,6]=>[2,3,5,1,7,4,8,6]=>[2,3,5,1,7,4,6]=>000000 [8,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,8,6]=>[3,1,5,2,7,4,6]=>000000 [7,8,5,3,1,2,4,6]=>[3,1,5,2,8,4,7,6]=>[3,1,5,2,4,7,6]=>000010 [7,8,5,2,1,3,4,6]=>[2,5,1,3,8,4,7,6]=>[2,5,1,3,4,7,6]=>000010 [7,8,5,1,2,3,4,6]=>[5,1,2,3,8,4,7,6]=>[5,1,2,3,4,7,6]=>000010 [7,8,4,3,2,1,5,6]=>[2,3,4,8,1,5,7,6]=>[2,3,4,1,5,7,6]=>000110 [7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>001110 [7,8,2,3,1,4,5,6]=>[3,8,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>001110 [8,5,6,3,4,2,1,7]=>[2,4,6,3,8,5,1,7]=>[2,4,6,3,5,1,7]=>000001 [8,6,3,2,4,5,1,7]=>[5,3,6,2,4,8,1,7]=>[5,3,6,2,4,1,7]=>000001 [8,5,6,4,2,1,3,7]=>[2,4,1,6,8,5,3,7]=>[2,4,1,6,5,3,7]=>000001 [8,6,3,4,2,1,5,7]=>[2,4,6,3,1,8,5,7]=>[2,4,6,3,1,5,7]=>000001 [8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]=>[2,4,1,6,3,5,7]=>000001 [8,6,4,1,2,3,5,7]=>[4,1,2,6,3,8,5,7]=>[4,1,2,6,3,5,7]=>000001 [8,5,2,3,4,1,6,7]=>[4,5,2,3,8,1,6,7]=>[4,5,2,3,1,6,7]=>000011 [8,5,3,4,1,2,6,7]=>[4,1,5,3,8,2,6,7]=>[4,1,5,3,2,6,7]=>000011 [8,5,3,1,2,4,6,7]=>[3,1,5,2,8,4,6,7]=>[3,1,5,2,4,6,7]=>000011 [8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7]=>[2,3,4,1,5,6,7]=>000111 [6,7,4,5,2,3,1,8]=>[3,5,2,7,4,6,1,8]=>[3,5,2,7,4,6,1]=>000000 [6,7,5,2,3,4,1,8]=>[4,5,2,3,7,6,1,8]=>[4,5,2,3,7,6,1]=>000000 [7,6,3,2,4,5,1,8]=>[5,3,6,2,4,7,1,8]=>[5,3,6,2,4,7,1]=>000000 [7,4,2,3,5,6,1,8]=>[6,4,2,7,3,5,1,8]=>[6,4,2,7,3,5,1]=>000000 [5,4,6,3,2,7,1,8]=>[7,3,6,5,4,2,1,8]=>[7,3,6,5,4,2,1]=>000000 [6,5,3,2,4,7,1,8]=>[7,3,5,2,6,4,1,8]=>[7,3,5,2,6,4,1]=>000000 [6,4,2,3,5,7,1,8]=>[7,4,2,6,3,5,1,8]=>[7,4,2,6,3,5,1]=>000000 [6,5,7,1,2,3,4,8]=>[7,1,2,3,6,5,4,8]=>[7,1,2,3,6,5,4]=>000000 [7,6,3,2,1,4,5,8]=>[2,3,6,1,4,7,5,8]=>[2,3,6,1,4,7,5]=>000000 [7,6,2,3,1,4,5,8]=>[3,6,2,1,4,7,5,8]=>[3,6,2,1,4,7,5]=>000000 [7,5,2,3,4,1,6,8]=>[4,5,2,3,7,1,6,8]=>[4,5,2,3,7,1,6]=>000000 [7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,6,8]=>[3,1,5,2,7,4,6]=>000000 [5,4,6,2,3,1,7,8]=>[3,6,2,5,4,1,7,8]=>[3,6,2,5,4,1,7]=>000001 [5,6,3,2,4,1,7,8]=>[4,3,6,2,5,1,7,8]=>[4,3,6,2,5,1,7]=>000001 [3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7]=>000011 [4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7]=>000111 [3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7]=>000111 [4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7]=>000111 [1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7]=>111111 [5,7,6,8,4,3,2,1]=>[2,3,4,8,5,7,6,1]=>[2,3,4,5,7,6,1]=>000000 [4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1]=>[2,3,7,4,5,6,1]=>000000 [3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1]=>[2,4,3,6,5,7,1]=>000000 [3,6,7,5,8,4,2,1]=>[2,4,3,8,7,6,5,1]=>[2,4,3,7,6,5,1]=>000000 [4,3,6,7,8,5,2,1]=>[2,5,4,3,8,6,7,1]=>[2,5,4,3,6,7,1]=>000000 [3,4,2,8,7,6,5,1]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,1]=>000000 [3,4,2,7,8,6,5,1]=>[5,4,3,2,6,8,7,1]=>[5,4,3,2,6,7,1]=>000000 [3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>000000 [4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>000000 [3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>000000 [4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>000000 [3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1]=>000000 [1,6,7,5,8,4,3,2]=>[1,3,4,8,7,6,5,2]=>[1,3,4,7,6,5,2]=>100000 [1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]=>[1,4,3,6,5,7,2]=>100000 [1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2]=>[1,5,4,3,6,7,2]=>100000 [2,1,7,6,8,5,4,3]=>[2,1,4,5,8,7,6,3]=>[2,1,4,5,7,6,3]=>010000 [2,1,6,7,8,5,4,3]=>[2,1,4,5,8,6,7,3]=>[2,1,4,5,6,7,3]=>010000 [2,1,5,7,8,6,4,3]=>[2,1,4,6,5,8,7,3]=>[2,1,4,6,5,7,3]=>010000 [2,1,6,7,5,8,4,3]=>[2,1,4,8,7,6,5,3]=>[2,1,4,7,6,5,3]=>010000 [2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3]=>[2,1,7,5,6,4,3]=>010000 [2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,3]=>010000 [3,2,1,6,7,5,8,4]=>[2,3,1,8,7,6,5,4]=>[2,3,1,7,6,5,4]=>001000 [2,3,1,8,7,6,5,4]=>[3,2,1,5,6,7,8,4]=>[3,2,1,5,6,7,4]=>001000 [2,3,1,6,8,7,5,4]=>[3,2,1,5,7,6,8,4]=>[3,2,1,5,7,6,4]=>001000 [2,3,1,7,6,8,5,4]=>[3,2,1,5,8,7,6,4]=>[3,2,1,5,7,6,4]=>001000 [2,3,1,6,7,8,5,4]=>[3,2,1,5,8,6,7,4]=>[3,2,1,5,6,7,4]=>001000 [2,3,1,6,5,8,7,4]=>[3,2,1,7,6,5,8,4]=>[3,2,1,7,6,5,4]=>001000 [2,3,1,5,7,6,8,4]=>[3,2,1,8,5,7,6,4]=>[3,2,1,5,7,6,4]=>001000 [2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[3,2,1,5,6,7,4]=>001000 [1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,4]=>111000 [1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,7,4]=>111000 [1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,6,4]=>111000 [1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[1,2,3,5,7,6,4]=>111000 [1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[1,2,3,5,6,7,4]=>111000 [1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,6,5,7,4]=>111000 [1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[1,2,3,6,5,7,4]=>111000 [1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>[1,2,3,7,6,5,4]=>111000 [1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4]=>[1,2,3,7,5,6,4]=>111000 [1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]=>[1,2,3,6,7,5,4]=>111000 [1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,7,6,5,4]=>111000 [1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]=>[1,2,3,5,7,6,4]=>111000 [1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,4]=>111000 [1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[1,2,3,5,6,7,4]=>111000 [4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5]=>[2,3,4,1,6,7,5]=>000100 [4,3,2,1,7,8,6,5]=>[2,3,4,1,6,8,7,5]=>[2,3,4,1,6,7,5]=>000100 [4,3,2,1,6,8,7,5]=>[2,3,4,1,7,6,8,5]=>[2,3,4,1,7,6,5]=>000100 [4,3,2,1,7,6,8,5]=>[2,3,4,1,8,7,6,5]=>[2,3,4,1,7,6,5]=>000100 [4,3,2,1,6,7,8,5]=>[2,3,4,1,8,6,7,5]=>[2,3,4,1,6,7,5]=>000100 [3,4,2,1,8,7,6,5]=>[2,4,3,1,6,7,8,5]=>[2,4,3,1,6,7,5]=>000100 [3,4,2,1,7,8,6,5]=>[2,4,3,1,6,8,7,5]=>[2,4,3,1,6,7,5]=>000100 [3,4,2,1,6,8,7,5]=>[2,4,3,1,7,6,8,5]=>[2,4,3,1,7,6,5]=>000100 [3,4,2,1,7,6,8,5]=>[2,4,3,1,8,7,6,5]=>[2,4,3,1,7,6,5]=>000100 [2,4,3,1,8,7,6,5]=>[3,2,4,1,6,7,8,5]=>[3,2,4,1,6,7,5]=>000100 [2,4,3,1,6,8,7,5]=>[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,5]=>000100 [2,4,3,1,7,6,8,5]=>[3,2,4,1,8,7,6,5]=>[3,2,4,1,7,6,5]=>000100 [2,4,3,1,6,7,8,5]=>[3,2,4,1,8,6,7,5]=>[3,2,4,1,6,7,5]=>000100 [3,2,4,1,8,7,6,5]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,6,7,5]=>000100 [3,2,4,1,7,8,6,5]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,6,7,5]=>000100 [3,2,4,1,6,8,7,5]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,7,6,5]=>000100 [3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>000100 [3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,6,7,5]=>000100 [2,3,4,1,8,7,6,5]=>[4,2,3,1,6,7,8,5]=>[4,2,3,1,6,7,5]=>000100 [2,3,4,1,6,8,7,5]=>[4,2,3,1,7,6,8,5]=>[4,2,3,1,7,6,5]=>000100 [2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5]=>[4,2,3,1,7,6,5]=>000100 [2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[4,2,3,1,6,7,5]=>000100 [1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,5]=>100100 [1,4,3,2,7,6,8,5]=>[1,3,4,2,8,7,6,5]=>[1,3,4,2,7,6,5]=>100100 [1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5]=>[1,4,3,2,6,7,5]=>100100 [1,3,4,2,6,8,7,5]=>[1,4,3,2,7,6,8,5]=>[1,4,3,2,7,6,5]=>100100 [1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,7,6,5]=>100100 [2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,6,7,5]=>010100 [2,1,4,3,7,8,6,5]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,6,7,5]=>010100 [2,1,4,3,6,8,7,5]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,7,6,5]=>010100 [2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,5]=>010100 [2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,6,7,5]=>010100 [1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,5]=>110100 [1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,6,5]=>110100 [1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,5]=>110100 [3,2,1,4,8,7,6,5]=>[2,3,1,4,6,7,8,5]=>[2,3,1,4,6,7,5]=>001100 [3,2,1,4,6,8,7,5]=>[2,3,1,4,7,6,8,5]=>[2,3,1,4,7,6,5]=>001100 [3,2,1,4,7,6,8,5]=>[2,3,1,4,8,7,6,5]=>[2,3,1,4,7,6,5]=>001100 [2,3,1,4,8,7,6,5]=>[3,2,1,4,6,7,8,5]=>[3,2,1,4,6,7,5]=>001100 [2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,7,6,5]=>001100 [1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,6,7,5]=>101100 [1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,7,6,5]=>101100 [1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,5]=>101100 [2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,6,7,5]=>011100 [2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,7,6,5]=>011100 [1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,5]=>111100 [1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,6,5]=>111100 [1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,5]=>111100 [5,4,3,2,1,7,8,6]=>[2,3,4,5,1,8,7,6]=>[2,3,4,5,1,7,6]=>000010 [3,5,4,2,1,7,8,6]=>[2,4,3,5,1,8,7,6]=>[2,4,3,5,1,7,6]=>000010 [3,4,5,2,1,7,8,6]=>[2,5,3,4,1,8,7,6]=>[2,5,3,4,1,7,6]=>000010 [2,5,4,3,1,7,8,6]=>[3,2,4,5,1,8,7,6]=>[3,2,4,5,1,7,6]=>000010 [3,2,5,4,1,7,8,6]=>[4,3,2,5,1,8,7,6]=>[4,3,2,5,1,7,6]=>000010 [4,3,2,5,1,8,7,6]=>[5,3,4,2,1,7,8,6]=>[5,3,4,2,1,7,6]=>000010 [3,4,2,5,1,8,7,6]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,7,6]=>000010 [3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>000010 [2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,2,4,3,1,7,6]=>000010 [4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>[2,3,4,1,5,7,6]=>000110 [4,3,2,1,5,7,8,6]=>[2,3,4,1,5,8,7,6]=>[2,3,4,1,5,7,6]=>000110 [3,2,4,1,5,8,7,6]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,7,6]=>000110 [3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,7,6]=>000110 [5,4,6,3,2,1,8,7]=>[2,3,6,5,4,1,8,7]=>[2,3,6,5,4,1,7]=>000001 [4,5,6,3,2,1,8,7]=>[2,3,6,4,5,1,8,7]=>[2,3,6,4,5,1,7]=>000001 [3,5,6,4,2,1,8,7]=>[2,4,3,6,5,1,8,7]=>[2,4,3,6,5,1,7]=>000001 [4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>000001 [3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,7]=>000001 [2,1,5,6,4,3,8,7]=>[2,1,4,6,5,3,8,7]=>[2,1,4,6,5,3,7]=>010001 [2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,7]=>010001 [2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,6,4,5,3,7]=>010001 [4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>[2,3,4,1,6,5,7]=>000101 [3,4,2,1,6,5,8,7]=>[2,4,3,1,6,5,8,7]=>[2,4,3,1,6,5,7]=>000101 [2,4,3,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>[3,2,4,1,6,5,7]=>000101 [3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,7]=>000101 [2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[4,2,3,1,6,5,7]=>000101 [2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,7]=>010101 [2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,7]=>010011 [4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>[2,3,4,1,5,6,7]=>000111 [3,2,4,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,7]=>000111 [2,4,6,7,5,3,1,8]=>[3,2,5,4,7,6,1,8]=>[3,2,5,4,7,6,1]=>000000 [2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[3,2,1,7,5,6,4]=>001000 [4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>[2,3,4,1,6,7,5]=>000100 [4,3,2,1,6,7,5,8]=>[2,3,4,1,7,6,5,8]=>[2,3,4,1,7,6,5]=>000100 [3,2,4,1,7,6,5,8]=>[4,3,2,1,6,7,5,8]=>[4,3,2,1,6,7,5]=>000100 [3,2,4,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5]=>000100 [2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5]=>001100 [3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6]=>000010 [2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6]=>001010 [1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6]=>101010 [1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6]=>111010 [4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>[2,3,4,1,5,7,6]=>000110 [3,2,4,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6]=>000110 [1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6]=>101110 [1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6]=>111110 [4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>[2,3,4,1,6,5,7]=>000101 [3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7]=>000101 [1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7]=>101011 [1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7]=>111011 [2,4,3,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7]=>000111 [1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7]=>101111 [1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[1,2,3,7,5,6,4]=>111000 [1,2,3,7,5,6,8,4]=>[1,2,3,8,7,5,6,4]=>[1,2,3,7,5,6,4]=>111000 [1,2,3,8,5,6,7,4]=>[1,2,3,7,8,5,6,4]=>[1,2,3,7,5,6,4]=>111000 [1,2,3,8,6,5,7,4]=>[1,2,3,7,6,8,5,4]=>[1,2,3,7,6,5,4]=>111000 [1,2,3,8,6,7,5,4]=>[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,6,4]=>111000 [1,2,5,4,8,6,7,3]=>[1,2,7,5,4,8,6,3]=>[1,2,7,5,4,6,3]=>110000 [1,2,8,4,7,6,5,3]=>[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,4,3]=>110000 [1,3,8,5,6,7,4,2]=>[1,4,3,7,8,5,6,2]=>[1,4,3,7,5,6,2]=>100000 [1,8,3,5,7,6,4,2]=>[1,4,6,7,3,8,5,2]=>[1,4,6,7,3,5,2]=>100000 [1,8,4,3,5,7,6,2]=>[1,6,4,7,3,8,2,5]=>[1,6,4,7,3,2,5]=>100000 [1,8,4,7,6,5,3,2]=>[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,4,2]=>100000 [1,8,5,4,6,3,7,2]=>[1,7,6,5,8,4,3,2]=>[1,7,6,5,4,3,2]=>100000 [2,1,4,3,8,6,7,5]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,7,6,5]=>010100 [2,1,4,8,5,6,7,3]=>[2,1,7,4,8,5,6,3]=>[2,1,7,4,5,6,3]=>010000 [2,1,6,4,5,3,8,7]=>[2,1,5,6,4,3,8,7]=>[2,1,5,6,4,3,7]=>010001 [2,1,8,4,7,6,5,3]=>[2,1,5,6,7,8,4,3]=>[2,1,5,6,7,4,3]=>010000 [2,1,7,5,4,6,8,3]=>[2,1,8,5,7,4,6,3]=>[2,1,5,7,4,6,3]=>010000 [2,1,8,5,4,7,6,3]=>[2,1,6,5,7,8,3,4]=>[2,1,6,5,7,3,4]=>010000 [2,3,1,5,8,6,7,4]=>[3,2,1,7,5,8,6,4]=>[3,2,1,7,5,6,4]=>001000 [2,3,1,8,5,6,7,4]=>[3,2,1,7,8,5,6,4]=>[3,2,1,7,5,6,4]=>001000 [2,3,1,8,6,7,5,4]=>[3,2,1,5,7,8,6,4]=>[3,2,1,5,7,6,4]=>001000 [2,4,3,1,8,6,7,5]=>[3,2,4,1,7,8,6,5]=>[3,2,4,1,7,6,5]=>000100 [2,6,3,4,5,8,7,1]=>[7,2,6,3,4,5,8,1]=>[7,2,6,3,4,5,1]=>000000 [2,7,4,5,6,3,1,8]=>[3,2,6,7,4,5,1,8]=>[3,2,6,7,4,5,1]=>000000 [2,8,5,4,3,6,7,1]=>[7,2,4,5,8,3,6,1]=>[7,2,4,5,3,6,1]=>000000 [3,2,4,1,8,6,7,5]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,7,6,5]=>000100 [3,2,7,4,6,5,8,1]=>[8,3,2,7,6,4,5,1]=>[3,2,7,6,4,5,1]=>000000 [3,2,8,5,7,6,4,1]=>[4,3,2,6,7,8,1,5]=>[4,3,2,6,7,1,5]=>000000 [4,2,3,1,6,5,8,7]=>[3,4,2,1,6,5,8,7]=>[3,4,2,1,6,5,7]=>000101 [4,2,3,1,6,8,7,5]=>[3,4,2,1,7,6,8,5]=>[3,4,2,1,7,6,5]=>000100 [4,2,3,1,7,6,8,5]=>[3,4,2,1,8,7,6,5]=>[3,4,2,1,7,6,5]=>000100 [4,2,3,1,8,6,7,5]=>[3,4,2,1,7,8,6,5]=>[3,4,2,1,7,6,5]=>000100 [4,2,3,1,8,7,6,5]=>[3,4,2,1,6,7,8,5]=>[3,4,2,1,6,7,5]=>000100 [4,2,3,5,1,7,8,6]=>[5,4,2,3,1,8,7,6]=>[5,4,2,3,1,7,6]=>000010 [5,2,4,3,6,1,8,7]=>[6,5,4,2,3,1,8,7]=>[6,5,4,2,3,1,7]=>000001 [5,2,4,3,7,6,8,1]=>[8,5,4,2,3,7,6,1]=>[5,4,2,3,7,6,1]=>000000 [7,2,4,3,6,5,8,1]=>[8,7,4,2,6,3,5,1]=>[7,4,2,6,3,5,1]=>000000 [7,2,5,4,3,6,1,8]=>[6,7,4,5,2,3,1,8]=>[6,7,4,5,2,3,1]=>000000 [8,2,5,4,3,7,6,1]=>[6,7,4,5,2,8,1,3]=>[6,7,4,5,2,1,3]=>000000 [4,3,2,1,8,6,7,5]=>[2,3,4,1,7,8,6,5]=>[2,3,4,1,7,6,5]=>000100 [5,3,2,4,6,1,8,7]=>[6,3,5,2,4,1,8,7]=>[6,3,5,2,4,1,7]=>000001 [8,3,2,5,7,6,4,1]=>[4,3,6,7,2,8,5,1]=>[4,3,6,7,2,5,1]=>000000 [5,3,4,2,1,7,8,6]=>[2,4,5,3,1,8,7,6]=>[2,4,5,3,1,7,6]=>000010 [7,3,4,2,6,5,8,1]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>000000 [6,3,5,4,2,7,1,8]=>[7,4,5,6,2,3,1,8]=>[7,4,5,6,2,3,1]=>000000 [2,4,1,6,3,7,5,8]=>[4,2,6,1,7,3,5,8]=>[4,2,6,1,7,3,5]=>000000 [2,4,6,7,1,3,5,8]=>[7,2,1,4,3,6,5,8]=>[7,2,1,4,3,6,5]=>000000 [2,4,1,6,3,7,8,5]=>[4,2,6,1,8,3,7,5]=>[4,2,6,1,3,7,5]=>000000 [2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,5,6]=>010100 [2,1,4,3,7,8,5,6]=>[2,1,4,3,8,5,7,6]=>[2,1,4,3,5,7,6]=>010110 [2,1,4,5,7,3,8,6]=>[2,1,7,4,5,8,3,6]=>[2,1,7,4,5,3,6]=>010000 [2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,5,6,7]=>010111 [2,4,1,3,8,5,6,7]=>[4,2,1,3,8,5,6,7]=>[4,2,1,3,5,6,7]=>000111 [2,4,1,5,6,3,7,8]=>[4,2,6,1,5,3,7,8]=>[4,2,6,1,5,3,7]=>000001 [2,4,5,1,6,3,7,8]=>[5,2,6,4,1,3,7,8]=>[5,2,6,4,1,3,7]=>000001 [2,4,5,6,1,7,8,3]=>[6,2,8,4,5,1,7,3]=>[6,2,4,5,1,7,3]=>000000 [2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,7]=>010001 [2,1,5,6,3,4,8,7]=>[2,1,6,3,5,4,8,7]=>[2,1,6,3,5,4,7]=>010001 [2,5,1,6,3,7,4,8]=>[5,2,6,7,1,3,4,8]=>[5,2,6,7,1,3,4]=>000000 [2,1,5,3,6,7,8,4]=>[2,1,5,8,3,6,7,4]=>[2,1,5,3,6,7,4]=>010000 [2,5,6,1,3,7,8,4]=>[6,2,1,8,5,3,7,4]=>[6,2,1,5,3,7,4]=>000000 [2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6]=>[2,1,5,7,3,4,6]=>010000 [2,1,5,7,3,8,4,6]=>[2,1,7,8,5,4,3,6]=>[2,1,7,5,4,3,6]=>010000 [2,1,5,7,8,3,4,6]=>[2,1,8,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>011010 [2,3,5,6,1,7,8,4]=>[6,2,3,8,5,1,7,4]=>[6,2,3,5,1,7,4]=>000000 [2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5]=>[2,1,6,7,3,4,5]=>010000 [2,1,6,7,8,3,4,5]=>[2,1,8,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>011100 [2,1,6,3,4,7,8,5]=>[2,1,6,3,8,4,7,5]=>[2,1,6,3,4,7,5]=>010000 [2,3,4,1,7,8,5,6]=>[4,2,3,1,8,5,7,6]=>[4,2,3,1,5,7,6]=>000110 [2,1,3,4,8,5,6,7]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,5,6,7]=>011111 [2,3,1,4,8,5,6,7]=>[3,2,1,4,8,5,6,7]=>[3,2,1,4,5,6,7]=>001111 [2,3,4,1,8,5,6,7]=>[4,2,3,1,8,5,6,7]=>[4,2,3,1,5,6,7]=>000111 [3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[3,4,1,2,6,5,7]=>000101 [3,4,1,2,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[4,1,3,2,6,5,7]=>000101 [3,4,1,6,2,7,5,8]=>[4,6,3,1,7,2,5,8]=>[4,6,3,1,7,2,5]=>000000 [3,4,1,2,6,7,8,5]=>[4,1,3,2,8,6,7,5]=>[4,1,3,2,6,7,5]=>000100 [3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,5,6]=>000100 [3,4,1,2,7,8,5,6]=>[4,1,3,2,8,5,7,6]=>[4,1,3,2,5,7,6]=>000110 [3,1,4,5,2,7,6,8]=>[3,5,1,4,2,7,6,8]=>[3,5,1,4,2,7,6]=>000010 [3,1,4,2,8,5,6,7]=>[3,4,1,2,8,5,6,7]=>[3,4,1,2,5,6,7]=>000111 [3,4,1,2,8,5,6,7]=>[4,1,3,2,8,5,6,7]=>[4,1,3,2,5,6,7]=>000111 [3,1,4,5,6,2,8,7]=>[3,6,1,4,5,2,8,7]=>[3,6,1,4,5,2,7]=>000001 [3,4,1,5,6,2,7,8]=>[4,6,3,1,5,2,7,8]=>[4,6,3,1,5,2,7]=>000001 [3,4,5,1,6,2,7,8]=>[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7]=>000001 [3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7]=>[3,5,1,6,2,4,7]=>000001 [3,5,1,6,2,4,8,7]=>[5,6,3,2,1,4,8,7]=>[5,6,3,2,1,4,7]=>000001 [3,5,6,1,2,4,8,7]=>[6,1,3,2,5,4,8,7]=>[6,1,3,2,5,4,7]=>000001 [3,5,6,1,2,8,4,7]=>[6,1,3,8,5,2,4,7]=>[6,1,3,5,2,4,7]=>000001 [3,5,1,6,2,4,7,8]=>[5,6,3,2,1,4,7,8]=>[5,6,3,2,1,4,7]=>000001 [3,5,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]=>[5,6,3,7,1,2,4]=>000000 [3,1,5,6,7,2,8,4]=>[3,7,1,8,5,6,2,4]=>[3,7,1,5,6,2,4]=>000000 [3,5,6,1,7,2,8,4]=>[6,7,3,8,5,1,2,4]=>[6,7,3,5,1,2,4]=>000000 [3,1,5,6,7,8,2,4]=>[3,8,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>001000 [3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,4,6]=>000000 [3,1,5,2,7,8,4,6]=>[3,5,1,8,2,4,7,6]=>[3,5,1,2,4,7,6]=>000010 [3,5,1,2,7,8,4,6]=>[5,1,3,8,2,4,7,6]=>[5,1,3,2,4,7,6]=>000010 [3,5,1,7,2,8,4,6]=>[5,7,3,8,1,4,2,6]=>[5,7,3,1,4,2,6]=>000000 [3,5,7,8,1,2,4,6]=>[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>101010 [1,3,5,2,7,8,4,6]=>[1,5,3,8,2,4,7,6]=>[1,5,3,2,4,7,6]=>100010 [3,5,1,2,4,8,6,7]=>[5,1,3,2,4,8,6,7]=>[5,1,3,2,4,6,7]=>000011 [1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[1,5,3,7,2,6,4]=>100000 [3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5]=>[3,6,1,7,2,4,5]=>000000 [3,1,6,7,2,8,4,5]=>[3,7,1,8,4,6,2,5]=>[3,7,1,4,6,2,5]=>000000 [3,6,1,7,8,2,4,5]=>[6,8,3,2,4,1,7,5]=>[6,3,2,4,1,7,5]=>000000 [3,6,1,2,4,7,8,5]=>[6,1,3,2,8,4,7,5]=>[6,1,3,2,4,7,5]=>000000 [1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[1,6,3,2,4,5,7]=>100001 [3,1,2,4,8,5,6,7]=>[3,1,2,4,8,5,6,7]=>[3,1,2,4,5,6,7]=>001111 [1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,5,6,7]=>101111 [1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,4,3,2,5,6,7]=>100111 [4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,7]=>000001 [4,5,6,1,2,3,8,7]=>[6,1,2,4,5,3,8,7]=>[6,1,2,4,5,3,7]=>000001 [4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>110001 [4,1,5,6,2,3,7,8]=>[4,6,2,1,5,3,7,8]=>[4,6,2,1,5,3,7]=>000001 [4,5,1,6,2,3,7,8]=>[5,6,2,4,1,3,7,8]=>[5,6,2,4,1,3,7]=>000001 [4,5,1,6,2,7,3,8]=>[5,6,7,4,1,2,3,8]=>[5,6,7,4,1,2,3]=>000000 [4,5,1,6,7,2,8,3]=>[5,7,8,4,1,6,2,3]=>[5,7,4,1,6,2,3]=>000000 [4,1,5,6,7,8,2,3]=>[4,8,2,1,5,6,7,3]=>[4,2,1,5,6,7,3]=>000000 [4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6]=>[4,5,7,1,2,3,6]=>000000 [4,5,1,7,2,8,3,6]=>[5,7,8,4,1,3,2,6]=>[5,7,4,1,3,2,6]=>000000 [4,5,7,1,2,8,3,6]=>[7,1,8,4,5,3,2,6]=>[7,1,4,5,3,2,6]=>000000 [4,1,5,7,2,3,6,8]=>[4,7,2,1,5,3,6,8]=>[4,7,2,1,5,3,6]=>000000 [4,5,1,7,2,3,6,8]=>[5,7,2,4,1,3,6,8]=>[5,7,2,4,1,3,6]=>000000 [1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>[1,5,7,4,2,3,6]=>100000 [4,1,2,5,7,8,3,6]=>[4,1,8,2,5,3,7,6]=>[4,1,2,5,3,7,6]=>000010 [4,1,2,5,6,3,8,7]=>[4,1,6,2,5,3,8,7]=>[4,1,6,2,5,3,7]=>000001 [4,1,2,5,6,7,8,3]=>[4,1,8,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>000000 [4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5]=>[4,6,7,1,2,3,5]=>000000 [4,6,7,1,8,2,3,5]=>[7,8,2,4,3,6,1,5]=>[7,2,4,3,6,1,5]=>000000 [4,1,6,2,7,3,5,8]=>[4,6,7,1,3,2,5,8]=>[4,6,7,1,3,2,5]=>000000 [4,1,6,2,3,7,5,8]=>[4,6,2,1,7,3,5,8]=>[4,6,2,1,7,3,5]=>000000 [4,1,6,2,3,7,8,5]=>[4,6,2,1,8,3,7,5]=>[4,6,2,1,3,7,5]=>000000 [4,1,2,6,3,7,8,5]=>[4,1,6,2,8,3,7,5]=>[4,1,6,2,3,7,5]=>000000 [4,1,2,6,3,8,5,7]=>[4,1,6,2,8,3,5,7]=>[4,1,6,2,3,5,7]=>000001 [1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[1,6,2,4,3,5,7]=>100001 [4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,7]=>000101 [4,1,2,3,6,8,5,7]=>[4,1,2,3,8,6,5,7]=>[4,1,2,3,6,5,7]=>000101 [4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7]=>000101 [4,1,2,3,6,7,5,8]=>[4,1,2,3,7,6,5,8]=>[4,1,2,3,7,6,5]=>000100 [4,1,2,3,6,7,8,5]=>[4,1,2,3,8,6,7,5]=>[4,1,2,3,6,7,5]=>000100 [4,1,2,3,7,5,8,6]=>[4,1,2,3,7,8,5,6]=>[4,1,2,3,7,5,6]=>000100 [4,1,2,3,7,8,5,6]=>[4,1,2,3,8,5,7,6]=>[4,1,2,3,5,7,6]=>000110 [1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[1,2,7,4,5,3,6]=>110000 [4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6]=>000100 [4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6]=>000110 [4,1,2,3,5,7,8,6]=>[4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,6]=>000110 [4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,5,6,7]=>000111 [1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,5,6,7]=>100111 [1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,5,6,7]=>110111 [4,1,2,3,5,8,6,7]=>[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,6,7]=>000111 [1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[1,2,5,4,3,6,7]=>110011 [4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,7]=>000111 [5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>000000 [5,1,6,7,2,3,8,4]=>[5,7,2,8,1,6,3,4]=>[5,7,2,1,6,3,4]=>000000 [5,6,1,7,2,3,8,4]=>[6,7,2,8,5,1,3,4]=>[6,7,2,5,1,3,4]=>000000 [5,1,6,7,2,8,3,4]=>[5,7,8,3,1,6,2,4]=>[5,7,3,1,6,2,4]=>000000 [5,1,6,2,7,3,4,8]=>[5,6,7,3,1,2,4,8]=>[5,6,7,3,1,2,4]=>000000 [5,1,6,2,3,7,4,8]=>[5,6,2,7,1,3,4,8]=>[5,6,2,7,1,3,4]=>000000 [1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[1,6,2,5,3,7,4]=>100000 [5,1,6,2,3,8,4,7]=>[5,6,2,8,1,3,4,7]=>[5,6,2,1,3,4,7]=>000001 [5,1,7,2,8,3,4,6]=>[5,7,8,3,1,4,2,6]=>[5,7,3,1,4,2,6]=>000000 [1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,4,6]=>110000 [1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,2,3,4,6,7]=>100011 [6,1,7,2,8,3,4,5]=>[6,7,8,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>000000 [6,1,7,2,3,8,4,5]=>[6,7,2,8,4,1,3,5]=>[6,7,2,4,1,3,5]=>000000 [6,1,2,3,7,8,4,5]=>[6,1,2,8,4,3,7,5]=>[6,1,2,4,3,7,5]=>000000 [1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,4,5,6,7]=>111111 [1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,5,6,7]=>111111 [5,3,2,6,1,4,8,7]=>[6,3,5,1,2,4,8,7]=>[6,3,5,1,2,4,7]=>000001 [6,4,5,2,3,1,8,7]=>[3,5,2,6,4,1,8,7]=>[3,5,2,6,4,1,7]=>000001 [7,6,4,3,8,2,1,5]=>[2,8,4,6,1,7,3,5]=>[2,4,6,1,7,3,5]=>000000 [7,8,4,3,6,5,1,2]=>[5,1,4,6,8,2,7,3]=>[5,1,4,6,2,7,3]=>000000 [2,1,8,6,7,4,5,3]=>[2,1,5,7,4,8,6,3]=>[2,1,5,7,4,6,3]=>010000 [8,4,6,2,7,3,5,1]=>[5,6,7,8,3,4,2,1]=>[5,6,7,3,4,2,1]=>000000 [5,3,2,7,1,8,4,6]=>[7,3,5,8,2,4,1,6]=>[7,3,5,2,4,1,6]=>000000 [4,3,2,1,7,8,5,6]=>[2,3,4,1,8,5,7,6]=>[2,3,4,1,5,7,6]=>000110 [3,4,1,2,8,7,6,5]=>[4,1,3,2,6,7,8,5]=>[4,1,3,2,6,7,5]=>000100 [5,3,2,8,1,7,6,4]=>[8,3,5,6,2,7,1,4]=>[3,5,6,2,7,1,4]=>000000 [7,3,2,8,6,5,1,4]=>[5,3,6,1,8,7,2,4]=>[5,3,6,1,7,2,4]=>000000 [8,4,7,2,6,5,3,1]=>[3,5,6,7,8,2,1,4]=>[3,5,6,7,2,1,4]=>000000 [6,4,8,2,7,1,5,3]=>[7,8,5,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>000000 [3,5,1,8,2,7,6,4]=>[5,8,3,6,1,7,2,4]=>[5,3,6,1,7,2,4]=>000000 [2,1,5,8,3,7,6,4]=>[2,1,8,6,5,7,3,4]=>[2,1,6,5,7,3,4]=>010000 [4,6,8,1,7,2,5,3]=>[8,7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>000000 [5,6,8,7,1,2,4,3]=>[7,1,4,2,5,6,8,3]=>[7,1,4,2,5,6,3]=>000000 [6,5,8,7,2,1,4,3]=>[2,7,4,1,6,5,8,3]=>[2,7,4,1,6,5,3]=>000000 [5,2,7,1,3,4,6,8]=>[7,5,1,2,4,3,6,8]=>[7,5,1,2,4,3,6]=>000000 [3,2,8,1,4,5,6,7]=>[8,3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>001111 [6,5,8,1,2,3,4,7]=>[8,1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>111001 [3,2,5,8,1,4,6,7]=>[8,3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>001011 [3,2,6,8,1,4,5,7]=>[8,3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>001101 [4,3,6,8,1,2,5,7]=>[8,1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>100101 [4,3,7,8,1,2,5,6]=>[8,1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>100110 [7,3,5,8,1,2,4,6]=>[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>100000 [8,4,6,7,1,2,3,5]=>[7,1,2,8,3,5,4,6]=>[7,1,2,3,5,4,6]=>000000 [5,8,4,7,1,2,3,6]=>[7,1,2,8,5,3,4,6]=>[7,1,2,5,3,4,6]=>000000 [6,8,3,7,1,2,4,5]=>[7,1,8,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>000000 [6,8,5,7,1,2,3,4]=>[7,1,2,3,8,6,5,4]=>[7,1,2,3,6,5,4]=>000000 [5,3,2,6,1,4,7,8]=>[6,3,5,1,2,4,7,8]=>[6,3,5,1,2,4,7]=>000001 [5,4,2,6,1,3,7,8]=>[6,4,1,5,2,3,7,8]=>[6,4,1,5,2,3,7]=>000001 [5,3,2,7,1,4,6,8]=>[7,3,5,1,2,4,6,8]=>[7,3,5,1,2,4,6]=>000000 [5,3,2,8,1,4,6,7]=>[8,3,5,1,2,4,6,7]=>[3,5,1,2,4,6,7]=>000011 [6,5,4,8,1,2,3,7]=>[8,1,2,5,6,4,3,7]=>[1,2,5,6,4,3,7]=>110001 [7,4,2,8,1,3,5,6]=>[8,4,1,7,2,3,5,6]=>[4,1,7,2,3,5,6]=>000000 [7,5,3,8,1,2,4,6]=>[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>100000 [8,4,2,7,1,3,5,6]=>[7,4,1,8,2,3,5,6]=>[7,4,1,2,3,5,6]=>000000 [8,5,2,7,1,3,4,6]=>[7,5,1,2,8,3,4,6]=>[7,5,1,2,3,4,6]=>000000 [3,8,2,5,7,1,4,6]=>[7,8,3,1,4,2,6,5]=>[7,3,1,4,2,6,5]=>000000 [6,8,2,5,7,1,3,4]=>[7,8,1,2,4,6,5,3]=>[7,1,2,4,6,5,3]=>000000 [5,4,2,6,8,1,3,7]=>[8,4,1,5,2,6,3,7]=>[4,1,5,2,6,3,7]=>000001 [5,4,2,7,8,1,3,6]=>[8,4,1,5,2,3,7,6]=>[4,1,5,2,3,7,6]=>000010 [6,3,7,2,5,1,4,8]=>[5,7,6,1,2,3,4,8]=>[5,7,6,1,2,3,4]=>000000 [6,4,7,2,5,1,3,8]=>[5,7,1,6,2,4,3,8]=>[5,7,1,6,2,4,3]=>000000 [7,3,6,2,5,1,4,8]=>[5,6,7,1,2,3,4,8]=>[5,6,7,1,2,3,4]=>000000 [6,4,8,2,5,1,3,7]=>[5,8,1,6,2,4,3,7]=>[5,1,6,2,4,3,7]=>000001 [6,5,8,3,4,1,2,7]=>[4,1,8,3,6,5,2,7]=>[4,1,3,6,5,2,7]=>000001 [5,4,8,2,7,1,3,6]=>[7,8,1,5,4,2,6,3]=>[7,1,5,4,2,6,3]=>000000 [7,3,8,2,6,1,4,5]=>[6,8,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>000000 [8,3,6,2,5,1,4,7]=>[5,6,8,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>000001 [8,3,7,2,6,1,4,5]=>[6,7,8,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>000000 [8,4,7,3,6,1,2,5]=>[6,1,7,8,2,3,4,5]=>[6,1,7,2,3,4,5]=>000000 [8,6,7,2,4,1,3,5]=>[4,7,1,2,3,8,6,5]=>[4,7,1,2,3,6,5]=>000000 [6,5,3,2,7,1,4,8]=>[7,3,5,1,6,2,4,8]=>[7,3,5,1,6,2,4]=>000000 [6,5,4,2,7,1,3,8]=>[7,4,1,5,6,2,3,8]=>[7,4,1,5,6,2,3]=>000000 [6,5,3,2,8,1,4,7]=>[8,3,5,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>000001 [6,5,4,3,8,1,2,7]=>[8,1,4,5,6,3,2,7]=>[1,4,5,6,3,2,7]=>100001 [8,5,3,2,6,1,4,7]=>[6,3,5,1,8,2,4,7]=>[6,3,5,1,2,4,7]=>000001 [8,7,5,3,6,1,2,4]=>[6,1,5,2,7,3,8,4]=>[6,1,5,2,7,3,4]=>000000 [4,8,3,7,2,6,1,5]=>[6,7,8,4,1,2,3,5]=>[6,7,4,1,2,3,5]=>000000 [5,8,3,7,2,6,1,4]=>[6,7,8,1,5,2,3,4]=>[6,7,1,5,2,3,4]=>000000 [6,8,5,7,2,4,1,3]=>[4,7,1,2,8,6,5,3]=>[4,7,1,2,6,5,3]=>000000 [6,4,3,8,2,7,1,5]=>[7,8,4,6,1,3,2,5]=>[7,4,6,1,3,2,5]=>000000 [6,5,3,8,2,7,1,4]=>[7,8,5,1,6,3,2,4]=>[7,5,1,6,3,2,4]=>000000 [8,6,4,7,2,5,1,3]=>[5,7,1,6,2,8,4,3]=>[5,7,1,6,2,4,3]=>000000 [8,7,5,6,2,4,1,3]=>[4,6,1,2,7,5,8,3]=>[4,6,1,2,7,5,3]=>000000 [8,7,5,3,2,6,1,4]=>[6,3,5,1,7,2,8,4]=>[6,3,5,1,7,2,4]=>000000 [8,1,2,5,3,4,6,7]=>[8,1,5,3,2,4,6,7]=>[1,5,3,2,4,6,7]=>100011 [7,1,2,5,6,3,8,4]=>[7,1,6,8,2,4,5,3]=>[7,1,6,2,4,5,3]=>000000 [4,1,2,5,8,7,3,6]=>[4,1,7,2,5,3,8,6]=>[4,1,7,2,5,3,6]=>000000 [3,1,7,2,6,4,8,5]=>[3,7,1,6,8,2,4,5]=>[3,7,1,6,2,4,5]=>000000 [6,1,5,2,3,8,4,7]=>[6,5,2,8,1,3,4,7]=>[6,5,2,1,3,4,7]=>000001 [5,1,4,2,7,3,8,6]=>[5,4,7,1,2,8,3,6]=>[5,4,7,1,2,3,6]=>000000 [7,1,4,2,6,3,8,5]=>[7,4,6,1,8,2,3,5]=>[7,4,6,1,2,3,5]=>000000 [7,1,5,2,6,3,8,4]=>[7,5,6,8,1,2,3,4]=>[7,5,6,1,2,3,4]=>000000 [8,1,4,2,6,7,3,5]=>[8,4,7,1,3,2,6,5]=>[4,7,1,3,2,6,5]=>000000 [8,1,5,2,6,7,3,4]=>[8,5,7,3,1,2,6,4]=>[5,7,3,1,2,6,4]=>000000 [3,1,8,5,2,7,4,6]=>[3,5,1,8,7,4,6,2]=>[3,5,1,7,4,6,2]=>000000 [2,8,1,7,6,3,4,5]=>[8,2,6,3,4,7,1,5]=>[2,6,3,4,7,1,5]=>000000 [6,3,1,2,4,8,5,7]=>[3,1,6,2,8,4,5,7]=>[3,1,6,2,4,5,7]=>000001 [6,3,1,2,4,7,8,5]=>[3,1,6,2,8,4,7,5]=>[3,1,6,2,4,7,5]=>000000 [5,3,1,2,8,7,4,6]=>[3,1,5,7,2,4,8,6]=>[3,1,5,7,2,4,6]=>000000 [5,4,1,2,8,3,6,7]=>[4,1,5,8,3,2,6,7]=>[4,1,5,3,2,6,7]=>000011 [8,3,1,5,2,7,4,6]=>[3,8,5,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>000000 [6,8,1,5,2,7,3,4]=>[8,5,7,3,1,6,2,4]=>[5,7,3,1,6,2,4]=>000000 [4,3,1,5,6,7,8,2]=>[3,4,8,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>000000 [2,6,4,1,3,8,5,7]=>[4,2,1,6,8,3,5,7]=>[4,2,1,6,3,5,7]=>000001 [8,5,4,1,2,7,3,6]=>[4,1,5,8,7,3,2,6]=>[4,1,5,7,3,2,6]=>000000 [6,8,5,1,2,7,3,4]=>[5,1,8,3,7,6,4,2]=>[5,1,3,7,6,4,2]=>000000 [7,3,4,1,6,2,8,5]=>[4,6,7,3,8,1,2,5]=>[4,6,7,3,1,2,5]=>000000 [7,3,8,1,6,2,4,5]=>[8,6,7,2,3,1,5,4]=>[6,7,2,3,1,5,4]=>000000 [7,3,5,1,6,2,8,4]=>[5,6,7,8,3,1,2,4]=>[5,6,7,3,1,2,4]=>000000 [2,7,6,5,1,3,8,4]=>[5,2,1,6,7,8,3,4]=>[5,2,1,6,7,3,4]=>000000 [7,3,8,5,1,2,4,6]=>[5,1,8,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>000000 [6,5,8,7,3,4,1,2]=>[4,1,7,3,6,5,8,2]=>[4,1,7,3,6,5,2]=>000000 [4,6,7,3,8,5,1,2]=>[5,1,8,4,7,6,2,3]=>[5,1,4,7,6,2,3]=>000000 [5,4,3,8,7,6,1,2]=>[6,1,4,5,3,7,8,2]=>[6,1,4,5,3,7,2]=>000000 [6,4,8,3,7,5,1,2]=>[5,1,7,8,6,2,4,3]=>[5,1,7,6,2,4,3]=>000000 [6,3,8,4,5,7,1,2]=>[7,1,6,8,4,3,5,2]=>[7,1,6,4,3,5,2]=>000000 [6,2,8,4,5,1,7,3]=>[5,6,7,8,4,2,1,3]=>[5,6,7,4,2,1,3]=>000000 [5,1,4,8,6,2,3,7]=>[5,6,2,1,4,8,3,7]=>[5,6,2,1,4,3,7]=>000001 [6,2,8,3,1,5,7,4]=>[3,8,6,7,1,5,2,4]=>[3,6,7,1,5,2,4]=>000000 [5,2,3,8,1,6,7,4]=>[8,5,2,7,3,1,6,4]=>[5,2,7,3,1,6,4]=>000000 [6,3,8,2,1,7,5,4]=>[2,8,6,5,7,3,1,4]=>[2,6,5,7,3,1,4]=>000000 [7,8,3,2,1,6,5,4]=>[2,3,8,5,6,1,7,4]=>[2,3,5,6,1,7,4]=>000000 [7,8,4,2,6,1,5,3]=>[6,4,8,5,1,3,7,2]=>[6,4,5,1,3,7,2]=>000000 [5,4,2,8,7,1,6,3]=>[7,4,5,6,3,1,8,2]=>[7,4,5,6,3,1,2]=>000000 [3,5,2,7,1,8,6,4]=>[7,5,3,6,2,8,1,4]=>[7,5,3,6,2,1,4]=>000000 [2,6,7,3,1,5,8,4]=>[3,2,7,8,1,6,5,4]=>[3,2,7,1,6,5,4]=>000000 [4,6,7,2,8,1,5,3]=>[8,7,5,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>000000 [5,6,7,8,2,1,4,3]=>[2,8,4,1,5,6,7,3]=>[2,4,1,5,6,7,3]=>000000 [7,8,5,6,2,1,4,3]=>[2,6,4,1,8,5,7,3]=>[2,6,4,1,5,7,3]=>000000 [6,5,8,7,1,2,3,4]=>[7,1,2,3,6,5,8,4]=>[7,1,2,3,6,5,4]=>000000 [6,4,8,1,7,2,3,5]=>[8,7,2,6,3,4,1,5]=>[7,2,6,3,4,1,5]=>000000 [5,3,1,8,2,7,4,6]=>[3,5,8,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>000000 [4,3,1,2,8,7,5,6]=>[3,1,4,2,7,5,8,6]=>[3,1,4,2,7,5,6]=>000100 [6,4,3,7,2,5,1,8]=>[5,7,4,6,2,3,1,8]=>[5,7,4,6,2,3,1]=>000000 [4,6,2,7,3,5,1,8]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1]=>000000 [6,1,5,4,2,8,7,3]=>[6,4,5,7,1,3,8,2]=>[6,4,5,7,1,3,2]=>000000 [4,1,2,7,8,5,6,3]=>[4,1,6,2,8,5,7,3]=>[4,1,6,2,5,7,3]=>000000 [7,8,6,1,4,2,3,5]=>[6,4,2,1,3,8,7,5]=>[6,4,2,1,3,7,5]=>000000 [8,7,6,1,4,3,2,5]=>[6,3,4,1,2,7,8,5]=>[6,3,4,1,2,7,5]=>000000 [8,6,7,1,3,4,2,5]=>[7,4,1,3,2,8,6,5]=>[7,4,1,3,2,6,5]=>000000 [1,5,7,3,8,4,6,2]=>[1,6,7,8,5,4,3,2]=>[1,6,7,5,4,3,2]=>100000 [3,2,5,1,6,4,8,7]=>[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,7]=>000001 [3,2,5,4,7,1,8,6]=>[7,3,2,5,4,8,1,6]=>[7,3,2,5,4,1,6]=>000000 [4,2,5,3,7,6,8,1]=>[8,4,5,2,3,7,6,1]=>[4,5,2,3,7,6,1]=>000000 [4,2,5,3,7,1,8,6]=>[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,1,6]=>000000 [4,2,5,3,6,1,8,7]=>[6,4,5,2,3,1,8,7]=>[6,4,5,2,3,1,7]=>000001 [4,2,5,1,6,3,8,7]=>[5,4,6,2,1,3,8,7]=>[5,4,6,2,1,3,7]=>000001 [3,1,5,4,6,2,8,7]=>[3,6,1,5,4,2,8,7]=>[3,6,1,5,4,2,7]=>000001 [4,1,5,3,6,2,8,7]=>[4,6,5,1,3,2,8,7]=>[4,6,5,1,3,2,7]=>000001 [4,3,5,2,7,1,8,6]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,1,6]=>000000 [4,3,5,1,7,2,8,6]=>[5,7,4,3,1,8,2,6]=>[5,7,4,3,1,2,6]=>000000 [4,1,5,3,7,2,8,6]=>[4,7,5,1,3,8,2,6]=>[4,7,5,1,3,2,6]=>000000 [3,1,5,4,7,2,8,6]=>[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,2,6]=>000000 [2,1,5,4,7,3,8,6]=>[2,1,7,5,4,8,3,6]=>[2,1,7,5,4,3,6]=>010000 [3,1,5,4,7,6,8,2]=>[3,8,1,5,4,7,6,2]=>[3,1,5,4,7,6,2]=>000000 [4,1,5,3,7,6,8,2]=>[4,8,5,1,3,7,6,2]=>[4,5,1,3,7,6,2]=>000000 [4,3,6,5,7,1,8,2]=>[7,8,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>000000 [5,3,6,4,7,1,8,2]=>[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>000000 [5,1,6,3,7,4,8,2]=>[5,8,6,7,1,3,4,2]=>[5,6,7,1,3,4,2]=>000000 [4,1,6,3,7,5,8,2]=>[4,8,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>000000 [3,1,6,4,7,5,8,2]=>[3,8,1,6,7,4,5,2]=>[3,1,6,7,4,5,2]=>000000 [2,1,6,4,7,5,8,3]=>[2,1,8,6,7,4,5,3]=>[2,1,6,7,4,5,3]=>010000 [2,1,6,4,7,3,8,5]=>[2,1,7,6,8,4,3,5]=>[2,1,7,6,4,3,5]=>010000 [3,1,6,4,7,2,8,5]=>[3,7,1,6,8,4,2,5]=>[3,7,1,6,4,2,5]=>000000 [4,1,6,3,7,2,8,5]=>[4,7,6,1,8,3,2,5]=>[4,7,6,1,3,2,5]=>000000 [5,1,6,3,7,2,8,4]=>[5,7,6,8,1,3,2,4]=>[5,7,6,1,3,2,4]=>000000 [5,3,6,2,7,4,8,1]=>[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>000000 [5,2,6,3,7,4,8,1]=>[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1]=>000000 [5,2,6,3,7,1,8,4]=>[7,5,6,8,2,3,1,4]=>[7,5,6,2,3,1,4]=>000000 [5,2,6,1,7,3,8,4]=>[6,5,7,8,2,1,3,4]=>[6,5,7,2,1,3,4]=>000000 [4,2,5,1,7,3,8,6]=>[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,3,6]=>000000 [4,2,6,1,7,3,8,5]=>[6,4,7,2,8,1,3,5]=>[6,4,7,2,1,3,5]=>000000 [4,2,6,3,7,1,8,5]=>[7,4,6,2,8,3,1,5]=>[7,4,6,2,3,1,5]=>000000 [4,2,6,3,7,5,8,1]=>[8,4,6,2,7,3,5,1]=>[4,6,2,7,3,5,1]=>000000 [3,2,6,4,7,5,8,1]=>[8,3,2,6,7,4,5,1]=>[3,2,6,7,4,5,1]=>000000 [3,2,6,4,7,1,8,5]=>[7,3,2,6,8,4,1,5]=>[7,3,2,6,4,1,5]=>000000 [3,2,6,1,7,4,8,5]=>[6,3,2,7,8,1,4,5]=>[6,3,2,7,1,4,5]=>000000 [3,2,5,1,7,4,8,6]=>[5,3,2,7,1,8,4,6]=>[5,3,2,7,1,4,6]=>000000 [3,2,4,1,7,5,8,6]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,7,5,6]=>000100 [3,1,4,2,7,6,8,5]=>[3,4,1,2,8,7,6,5]=>[3,4,1,2,7,6,5]=>000100 [3,2,5,1,7,6,8,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>000000 [3,2,6,1,7,5,8,4]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>000000 [4,2,6,1,7,5,8,3]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>000000 [4,2,5,1,7,6,8,3]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>000000 [4,1,5,2,7,6,8,3]=>[4,5,8,1,2,7,6,3]=>[4,5,1,2,7,6,3]=>000000 [3,1,5,2,7,6,8,4]=>[3,5,1,8,2,7,6,4]=>[3,5,1,2,7,6,4]=>000000 [2,1,5,3,7,6,8,4]=>[2,1,5,8,3,7,6,4]=>[2,1,5,3,7,6,4]=>010000 [2,1,6,3,7,5,8,4]=>[2,1,6,8,7,3,5,4]=>[2,1,6,7,3,5,4]=>010000 [3,1,6,2,7,5,8,4]=>[3,6,1,8,7,2,5,4]=>[3,6,1,7,2,5,4]=>000000 [4,1,6,2,7,5,8,3]=>[4,6,8,1,7,2,5,3]=>[4,6,1,7,2,5,3]=>000000 [5,1,6,2,7,4,8,3]=>[5,6,8,7,1,2,4,3]=>[5,6,7,1,2,4,3]=>000000 [5,2,6,1,7,4,8,3]=>[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>000000 [5,4,6,2,7,1,8,3]=>[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>000000 [5,1,6,4,7,2,8,3]=>[5,7,8,6,1,4,2,3]=>[5,7,6,1,4,2,3]=>000000 [3,1,6,5,7,2,8,4]=>[3,7,1,8,6,5,2,4]=>[3,7,1,6,5,2,4]=>000000 [3,1,6,5,7,4,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>000000 [4,1,6,5,7,3,8,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>000000 [5,1,6,4,7,3,8,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>000000 [2,1,7,8,5,6,4,3]=>[2,1,4,6,8,5,7,3]=>[2,1,4,6,5,7,3]=>010000 [3,7,8,1,6,5,2,4]=>[8,5,3,2,6,1,7,4]=>[5,3,2,6,1,7,4]=>000000 [3,2,5,1,6,8,4,7]=>[5,3,2,8,1,6,4,7]=>[5,3,2,1,6,4,7]=>000001 [5,4,3,8,2,7,6,1]=>[6,7,4,5,3,8,1,2]=>[6,7,4,5,3,1,2]=>000000 [6,5,2,1,7,3,8,4]=>[2,5,6,7,8,3,4,1]=>[2,5,6,7,3,4,1]=>000000 [7,3,6,2,4,1,8,5]=>[4,6,7,2,8,3,1,5]=>[4,6,7,2,3,1,5]=>000000 [3,5,2,7,1,8,4,6]=>[7,5,3,8,2,4,1,6]=>[7,5,3,2,4,1,6]=>000000 [6,4,8,1,7,2,5,3]=>[8,7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>000000 [5,1,6,8,2,7,4,3]=>[5,8,4,7,1,6,2,3]=>[5,4,7,1,6,2,3]=>000000 [5,2,7,1,8,6,4,3]=>[7,5,4,6,2,8,1,3]=>[7,5,4,6,2,1,3]=>000000 [4,1,3,2,6,5,8,7]=>[4,3,1,2,6,5,8,7]=>[4,3,1,2,6,5,7]=>000101 [3,5,2,6,4,1,8,7]=>[4,6,3,5,1,2,8,7]=>[4,6,3,5,1,2,7]=>000001 [6,1,2,4,5,3,8,7]=>[6,1,5,2,4,3,8,7]=>[6,1,5,2,4,3,7]=>000001 [5,6,3,2,1,4,8,7]=>[2,3,6,1,5,4,8,7]=>[2,3,6,1,5,4,7]=>000001 [2,1,6,3,5,4,8,7]=>[2,1,6,5,3,4,8,7]=>[2,1,6,5,3,4,7]=>010001 [5,3,1,4,6,2,8,7]=>[3,5,6,1,2,4,8,7]=>[3,5,6,1,2,4,7]=>000001 [2,1,5,7,4,8,6,3]=>[2,1,6,8,5,7,3,4]=>[2,1,6,5,7,3,4]=>010000 [2,3,8,1,6,7,5,4]=>[8,2,3,5,7,1,6,4]=>[2,3,5,7,1,6,4]=>000000 [8,1,2,3,5,6,7,4]=>[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>110000 [2,1,8,3,4,6,7,5]=>[2,1,8,3,7,4,6,5]=>[2,1,3,7,4,6,5]=>011000 [2,1,7,8,5,4,3,6]=>[2,1,4,5,8,3,7,6]=>[2,1,4,5,3,7,6]=>010010 [4,1,3,2,8,5,7,6]=>[4,3,1,2,8,7,5,6]=>[4,3,1,2,7,5,6]=>000100 [2,1,4,3,8,5,7,6]=>[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,6]=>010100 [2,1,7,5,3,6,8,4]=>[2,1,5,7,8,3,4,6]=>[2,1,5,7,3,4,6]=>010000 [6,5,2,1,4,3,8,7]=>[2,5,4,1,6,3,8,7]=>[2,5,4,1,6,3,7]=>000001 [5,1,7,3,8,4,6,2]=>[5,6,7,8,1,4,3,2]=>[5,6,7,1,4,3,2]=>000000 [6,5,3,2,8,7,1,4]=>[7,3,5,1,6,2,8,4]=>[7,3,5,1,6,2,4]=>000000 [4,1,2,8,7,5,6,3]=>[4,1,6,2,7,5,8,3]=>[4,1,6,2,7,5,3]=>000000 [5,7,1,6,8,2,4,3]=>[7,8,4,2,5,1,6,3]=>[7,4,2,5,1,6,3]=>000000 [4,1,2,3,6,8,7,5]=>[4,1,2,3,7,6,8,5]=>[4,1,2,3,7,6,5]=>000100 [2,4,3,1,8,5,6,7]=>[3,2,4,1,8,5,6,7]=>[3,2,4,1,5,6,7]=>000111 [7,8,2,1,6,5,3,4]=>[2,8,5,3,6,1,7,4]=>[2,5,3,6,1,7,4]=>000000 [7,8,4,1,2,3,6,5]=>[4,1,2,8,6,3,7,5]=>[4,1,2,6,3,7,5]=>000000 [2,1,8,7,5,4,3,6]=>[2,1,4,5,7,3,8,6]=>[2,1,4,5,7,3,6]=>010000 [2,7,5,8,3,6,1,4]=>[6,2,8,1,7,3,5,4]=>[6,2,1,7,3,5,4]=>000000 [3,6,8,4,7,5,1,2]=>[5,1,3,7,8,6,2,4]=>[5,1,3,7,6,2,4]=>000000 [4,5,7,6,1,8,3,2]=>[6,3,7,4,5,8,2,1]=>[6,3,7,4,5,2,1]=>000000 [6,2,4,1,8,3,7,5]=>[4,6,8,2,7,1,3,5]=>[4,6,2,7,1,3,5]=>000000 [5,1,4,2,7,6,8,3]=>[5,4,8,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>000000 [3,7,8,5,1,2,4,6]=>[5,1,3,2,8,4,7,6]=>[5,1,3,2,4,7,6]=>000010 [4,1,8,6,2,3,5,7]=>[4,6,2,1,3,8,5,7]=>[4,6,2,1,3,5,7]=>000001 [2,6,8,3,1,4,7,5]=>[3,2,8,1,7,6,4,5]=>[3,2,1,7,6,4,5]=>001000 [1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[1,6,4,2,3,5,7]=>100001 [1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[1,7,6,4,3,2,5]=>100000 [2,8,4,1,5,6,7,3]=>[4,2,8,7,1,3,6,5]=>[4,2,7,1,3,6,5]=>000000 [7,2,8,5,4,1,6,3]=>[4,5,8,7,6,1,2,3]=>[4,5,7,6,1,2,3]=>000000 [2,8,5,3,4,1,6,7]=>[4,2,5,3,8,1,6,7]=>[4,2,5,3,1,6,7]=>000011 [7,2,8,4,5,6,1,3]=>[6,7,1,8,4,5,2,3]=>[6,7,1,4,5,2,3]=>000000 [3,4,1,2,7,6,8,5]=>[4,1,3,2,8,7,6,5]=>[4,1,3,2,7,6,5]=>000100 [3,5,2,6,4,8,7,1]=>[7,5,3,6,2,4,8,1]=>[7,5,3,6,2,4,1]=>000000 [4,3,2,1,8,6,5,7]=>[2,3,4,1,6,8,5,7]=>[2,3,4,1,6,5,7]=>000101 [4,2,1,3,8,7,6,5]=>[2,4,1,3,6,7,8,5]=>[2,4,1,3,6,7,5]=>000100 [6,1,2,8,4,5,7,3]=>[6,1,7,8,4,2,5,3]=>[6,1,7,4,2,5,3]=>000000 [6,3,5,1,8,2,7,4]=>[5,8,6,7,3,1,2,4]=>[5,6,7,3,1,2,4]=>000000 [3,2,4,1,7,8,5,6]=>[4,3,2,1,8,5,7,6]=>[4,3,2,1,5,7,6]=>000110 [7,3,5,1,6,2,4,8]=>[5,6,7,2,4,3,1,8]=>[5,6,7,2,4,3,1]=>000000 [1,8,7,5,6,3,4,2]=>[1,4,6,3,7,5,8,2]=>[1,4,6,3,7,5,2]=>100000 [5,4,6,7,1,8,2,3]=>[7,8,2,5,4,6,1,3]=>[7,2,5,4,6,1,3]=>000000 [1,8,4,6,2,7,3,5]=>[1,6,7,8,3,5,4,2]=>[1,6,7,3,5,4,2]=>100000 [6,5,3,2,7,1,8,4]=>[7,3,5,6,8,4,1,2]=>[7,3,5,6,4,1,2]=>000000 [5,2,1,4,3,8,7,6]=>[2,5,4,1,3,7,8,6]=>[2,5,4,1,3,7,6]=>000010 [8,1,3,5,6,2,7,4]=>[8,6,1,7,2,3,5,4]=>[6,1,7,2,3,5,4]=>000000 [6,3,2,1,4,5,8,7]=>[2,3,6,1,4,5,8,7]=>[2,3,6,1,4,5,7]=>000001 [6,4,2,1,3,8,5,7]=>[2,4,1,6,8,3,5,7]=>[2,4,1,6,3,5,7]=>000001 [7,5,1,2,8,3,4,6]=>[5,1,7,3,8,4,6,2]=>[5,1,7,3,4,6,2]=>000000 [7,4,6,1,8,3,5,2]=>[6,5,8,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>000000 [7,3,5,1,8,4,6,2]=>[5,6,7,8,3,4,1,2]=>[5,6,7,3,4,1,2]=>000000 [7,3,4,1,8,5,6,2]=>[4,6,7,3,8,5,1,2]=>[4,6,7,3,5,1,2]=>000000 [4,5,7,3,1,8,6,2]=>[3,7,6,4,5,8,2,1]=>[3,7,6,4,5,2,1]=>000000 [7,5,6,1,8,3,4,2]=>[6,4,8,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>000000 [4,5,7,1,6,8,2,3]=>[7,8,2,4,5,1,6,3]=>[7,2,4,5,1,6,3]=>000000 [4,5,7,1,3,8,2,6]=>[7,8,1,4,5,3,6,2]=>[7,1,4,5,3,6,2]=>000000 [5,3,1,2,8,6,4,7]=>[3,1,5,6,2,8,4,7]=>[3,1,5,6,2,4,7]=>000001 [4,3,1,2,8,6,5,7]=>[3,1,4,2,6,8,5,7]=>[3,1,4,2,6,5,7]=>000101 [7,6,1,5,8,3,2,4]=>[6,3,7,2,1,8,4,5]=>[6,3,7,2,1,4,5]=>000000 [3,6,7,1,5,8,2,4]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>000000 [7,1,6,5,8,2,4,3]=>[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>000000 [7,5,1,6,8,4,2,3]=>[5,4,2,7,8,1,3,6]=>[5,4,2,7,1,3,6]=>000000 [5,2,3,1,8,6,7,4]=>[3,5,2,7,1,8,6,4]=>[3,5,2,7,1,6,4]=>000000 [6,2,4,1,8,5,7,3]=>[4,6,7,2,8,1,5,3]=>[4,6,7,2,1,5,3]=>000000 [6,2,5,1,8,4,7,3]=>[5,6,7,8,2,1,4,3]=>[5,6,7,2,1,4,3]=>000000 [7,1,6,4,8,2,5,3]=>[7,8,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>000000 [7,1,5,3,8,2,6,4]=>[7,8,5,6,1,3,4,2]=>[7,5,6,1,3,4,2]=>000000 [6,1,5,2,8,3,7,4]=>[6,5,8,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>000000 [7,3,1,4,8,6,2,5]=>[3,7,6,1,4,8,2,5]=>[3,7,6,1,4,2,5]=>000000 [5,2,1,3,8,7,4,6]=>[2,5,1,7,3,4,8,6]=>[2,5,1,7,3,4,6]=>000000 [7,4,1,3,8,5,2,6]=>[4,7,1,5,8,3,2,6]=>[4,7,1,5,3,2,6]=>000000 [6,1,4,2,8,3,7,5]=>[6,4,8,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>000000 [7,6,1,4,8,3,2,5]=>[6,3,7,1,4,8,2,5]=>[6,3,7,1,4,2,5]=>000000 [5,1,3,2,8,4,7,6]=>[5,3,1,8,2,7,4,6]=>[5,3,1,2,7,4,6]=>000000 [4,2,1,3,8,7,5,6]=>[2,4,1,3,7,5,8,6]=>[2,4,1,3,7,5,6]=>000100 [7,8,4,2,5,1,3,6]=>[5,4,1,8,2,3,7,6]=>[5,4,1,2,3,7,6]=>000010 [2,4,8,5,3,1,6,7]=>[3,2,5,4,8,1,6,7]=>[3,2,5,4,1,6,7]=>000011 [2,1,8,4,7,3,6,5]=>[2,1,7,8,6,3,4,5]=>[2,1,7,6,3,4,5]=>010000 [1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[1,6,7,2,4,3,5]=>100000 [6,3,1,2,4,5,8,7]=>[3,1,6,2,4,5,8,7]=>[3,1,6,2,4,5,7]=>000001 [1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[1,7,5,4,2,3,6]=>100000 [6,4,7,3,5,8,1,2]=>[8,1,7,6,3,4,5,2]=>[1,7,6,3,4,5,2]=>100000 [7,2,5,6,3,8,1,4]=>[8,7,6,1,3,4,2,5]=>[7,6,1,3,4,2,5]=>000000 [1,4,2,7,5,8,6,3]=>[1,4,6,2,8,7,3,5]=>[1,4,6,2,7,3,5]=>100000 [5,1,8,4,6,2,7,3]=>[5,6,7,8,1,4,2,3]=>[5,6,7,1,4,2,3]=>000000 [3,5,6,1,8,4,7,2]=>[6,7,3,8,5,1,4,2]=>[6,7,3,5,1,4,2]=>000000 [4,2,5,6,1,8,7,3]=>[6,4,7,2,5,1,8,3]=>[6,4,7,2,5,1,3]=>000000 [7,1,4,2,5,3,8,6]=>[7,4,5,1,2,8,3,6]=>[7,4,5,1,2,3,6]=>000000 [3,7,1,2,5,4,8,6]=>[7,1,3,5,2,8,4,6]=>[7,1,3,5,2,4,6]=>000000 [3,5,1,8,2,7,4,6]=>[5,8,3,7,1,4,2,6]=>[5,3,7,1,4,2,6]=>000000 [4,1,6,2,8,3,7,5]=>[4,6,8,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>000000 [6,8,5,3,1,7,4,2]=>[3,5,4,8,7,6,1,2]=>[3,5,4,7,6,1,2]=>000000 [6,4,7,2,8,1,5,3]=>[8,7,5,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>000000 [3,8,2,4,6,7,1,5]=>[7,8,3,2,1,5,4,6]=>[7,3,2,1,5,4,6]=>000000 [5,1,7,3,6,2,4,8]=>[5,6,7,2,1,3,4,8]=>[5,6,7,2,1,3,4]=>000000 [1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[1,2,7,4,5,3,6]=>110000 [8,1,7,2,6,3,5,4]=>[8,7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>000000 [7,6,8,1,4,3,5,2]=>[8,5,4,1,3,7,6,2]=>[5,4,1,3,7,6,2]=>000000 [4,7,2,8,1,5,6,3]=>[8,7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5]=>000000 [3,2,5,4,8,1,7,6]=>[8,3,2,5,4,7,1,6]=>[3,2,5,4,7,1,6]=>000000 [1,5,4,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7]=>100011 [5,8,7,3,4,1,2,6]=>[4,1,7,3,5,2,8,6]=>[4,1,7,3,5,2,6]=>000000 [6,7,3,8,5,1,2,4]=>[5,1,8,2,7,6,4,3]=>[5,1,2,7,6,4,3]=>000000 [4,8,3,7,5,1,2,6]=>[5,1,7,4,8,2,6,3]=>[5,1,7,4,2,6,3]=>000000 [3,5,6,1,7,8,4,2]=>[6,4,3,8,5,1,7,2]=>[6,4,3,5,1,7,2]=>000000 [4,2,8,7,1,6,3,5]=>[7,4,6,2,3,1,8,5]=>[7,4,6,2,3,1,5]=>000000 [6,7,3,1,5,8,4,2]=>[3,7,4,8,1,6,2,5]=>[3,7,4,1,6,2,5]=>000000 [8,5,6,2,1,4,3,7]=>[2,6,4,1,8,5,3,7]=>[2,6,4,1,5,3,7]=>000001 [6,7,1,3,4,8,5,2]=>[7,5,1,2,8,6,3,4]=>[7,5,1,2,6,3,4]=>000000 [6,5,2,8,4,7,3,1]=>[3,7,5,6,8,4,1,2]=>[3,7,5,6,4,1,2]=>000000 [6,3,4,5,8,7,2,1]=>[2,7,6,3,4,5,8,1]=>[2,7,6,3,4,5,1]=>000000 [6,3,7,5,2,8,1,4]=>[8,5,7,1,6,2,3,4]=>[5,7,1,6,2,3,4]=>000000 [6,5,2,7,4,8,1,3]=>[8,5,1,6,7,4,2,3]=>[5,1,6,7,4,2,3]=>000000 [6,3,7,4,2,8,5,1]=>[5,4,8,7,6,1,2,3]=>[5,4,7,6,1,2,3]=>000000 [5,6,1,8,7,3,2,4]=>[6,3,7,2,5,1,8,4]=>[6,3,7,2,5,1,4]=>000000 [6,3,7,2,1,8,4,5]=>[2,7,6,8,4,3,1,5]=>[2,7,6,4,3,1,5]=>000000 [5,1,8,3,7,6,2,4]=>[5,6,7,2,1,8,4,3]=>[5,6,7,2,1,4,3]=>000000 [5,4,8,1,7,2,6,3]=>[8,7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>000000 [4,6,3,7,2,8,1,5]=>[8,7,6,4,1,3,2,5]=>[7,6,4,1,3,2,5]=>000000 [4,7,3,6,2,5,1,8]=>[5,6,7,4,2,3,1,8]=>[5,6,7,4,2,3,1]=>000000 [5,4,6,1,3,2,8,7]=>[6,3,1,5,4,2,8,7]=>[6,3,1,5,4,2,7]=>000001 [6,4,7,1,8,2,5,3]=>[7,8,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>000000 [8,4,7,3,6,2,5,1]=>[5,6,7,8,2,3,4,1]=>[5,6,7,2,3,4,1]=>000000 [3,6,1,8,7,4,2,5]=>[6,4,3,7,2,1,8,5]=>[6,4,3,7,2,1,5]=>000000 [2,1,7,6,8,3,5,4]=>[2,1,8,5,3,7,6,4]=>[2,1,5,3,7,6,4]=>010000 [6,1,4,5,3,7,8,2]=>[6,8,5,1,2,4,7,3]=>[6,5,1,2,4,7,3]=>000000 [3,6,1,8,5,2,4,7]=>[6,5,3,2,8,1,4,7]=>[6,5,3,2,1,4,7]=>000001 [2,6,4,1,8,5,7,3]=>[4,2,6,7,8,3,5,1]=>[4,2,6,7,3,5,1]=>000000 [1,7,3,8,5,2,4,6]=>[1,5,8,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>100000 [6,2,7,3,5,1,8,4]=>[5,6,7,8,3,2,1,4]=>[5,6,7,3,2,1,4]=>000000 [1,7,5,3,4,6,8,2]=>[1,8,5,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>100000 [5,3,6,1,2,8,4,7]=>[6,1,5,8,3,2,4,7]=>[6,1,5,3,2,4,7]=>000001 [6,7,3,8,5,2,1,4]=>[2,5,8,1,7,6,4,3]=>[2,5,1,7,6,4,3]=>000000 [4,5,7,2,1,8,6,3]=>[2,7,6,4,5,8,1,3]=>[2,7,6,4,5,1,3]=>000000 [7,8,3,4,2,1,6,5]=>[2,4,8,3,6,1,7,5]=>[2,4,3,6,1,7,5]=>000000 [8,5,3,2,6,7,1,4]=>[7,3,5,1,8,4,2,6]=>[7,3,5,1,4,2,6]=>000000 [4,5,2,6,8,1,7,3]=>[8,5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>000000 [7,2,3,1,4,5,8,6]=>[3,7,2,1,4,8,5,6]=>[3,7,2,1,4,5,6]=>000000 [5,6,3,4,1,2,8,7]=>[4,1,6,3,5,2,8,7]=>[4,1,6,3,5,2,7]=>000001 [2,1,7,8,5,6,3,4]=>[2,1,6,3,8,5,7,4]=>[2,1,6,3,5,7,4]=>010000 [5,7,3,8,1,6,2,4]=>[8,6,7,2,5,1,3,4]=>[6,7,2,5,1,3,4]=>000000 [7,8,1,6,3,5,2,4]=>[8,5,6,2,3,1,7,4]=>[5,6,2,3,1,7,4]=>000000 [7,8,3,6,1,5,2,4]=>[6,5,8,2,1,3,7,4]=>[6,5,2,1,3,7,4]=>000000 [7,8,2,6,1,5,3,4]=>[6,8,5,3,1,2,7,4]=>[6,5,3,1,2,7,4]=>000000 [6,8,2,7,3,5,1,4]=>[5,8,7,1,3,6,2,4]=>[5,7,1,3,6,2,4]=>000000 [6,8,2,7,4,5,1,3]=>[5,8,1,7,4,6,2,3]=>[5,1,7,4,6,2,3]=>000000 [2,8,5,7,1,6,3,4]=>[7,2,6,3,8,1,5,4]=>[7,2,6,3,1,5,4]=>000000 [5,8,2,7,3,6,1,4]=>[6,8,7,1,5,3,2,4]=>[6,7,1,5,3,2,4]=>000000 [4,8,1,7,2,6,3,5]=>[8,7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>000000 [1,8,4,7,3,6,2,5]=>[1,6,7,8,2,3,4,5]=>[1,6,7,2,3,4,5]=>100000 [6,8,3,7,1,5,2,4]=>[7,5,8,2,1,6,3,4]=>[7,5,2,1,6,3,4]=>000000 [3,8,4,7,1,6,2,5]=>[7,6,3,8,2,1,4,5]=>[7,6,3,2,1,4,5]=>000000 [1,6,7,3,8,5,2,4]=>[1,5,8,2,7,6,4,3]=>[1,5,2,7,6,4,3]=>100000 [6,8,1,7,2,3,4,5]=>[8,7,2,3,4,6,1,5]=>[7,2,3,4,6,1,5]=>000000 [6,4,3,1,2,8,5,7]=>[3,1,4,6,8,2,5,7]=>[3,1,4,6,2,5,7]=>000001 [6,4,2,8,1,3,7,5]=>[8,4,1,6,7,2,3,5]=>[4,1,6,7,2,3,5]=>000000 [3,4,7,2,8,6,1,5]=>[6,8,3,4,1,7,5,2]=>[6,3,4,1,7,5,2]=>000000 [3,5,2,6,8,1,7,4]=>[8,5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>000000 [3,7,2,5,4,8,6,1]=>[6,8,3,5,2,7,1,4]=>[6,3,5,2,7,1,4]=>000000 [8,3,6,1,4,7,2,5]=>[6,7,8,1,3,5,4,2]=>[6,7,1,3,5,4,2]=>000000 [8,2,6,1,4,3,7,5]=>[6,8,4,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>000000 [3,4,7,2,8,1,6,5]=>[8,7,3,4,6,1,2,5]=>[7,3,4,6,1,2,5]=>000000 [6,5,2,1,4,7,8,3]=>[2,5,6,1,8,3,7,4]=>[2,5,6,1,3,7,4]=>000000 [7,8,1,4,2,6,5,3]=>[8,4,5,1,6,2,7,3]=>[4,5,1,6,2,7,3]=>000000 [4,2,6,1,8,5,7,3]=>[6,4,7,2,8,1,5,3]=>[6,4,7,2,1,5,3]=>000000 [6,1,3,2,7,5,8,4]=>[6,3,1,8,7,2,5,4]=>[6,3,1,7,2,5,4]=>000000 [7,6,5,8,1,4,2,3]=>[8,4,2,1,6,7,5,3]=>[4,2,1,6,7,5,3]=>000000 [6,5,3,8,2,1,7,4]=>[2,8,5,6,7,4,1,3]=>[2,5,6,7,4,1,3]=>000000 [7,8,3,2,5,1,4,6]=>[5,3,8,1,2,4,7,6]=>[5,3,1,2,4,7,6]=>000010 [2,1,8,6,4,7,3,5]=>[2,1,7,6,3,8,4,5]=>[2,1,7,6,3,4,5]=>010000 [5,8,7,1,2,4,3,6]=>[7,1,4,2,5,3,8,6]=>[7,1,4,2,5,3,6]=>000000 [7,8,5,4,1,3,2,6]=>[4,3,1,5,8,2,7,6]=>[4,3,1,5,2,7,6]=>000010 [7,5,6,8,1,4,3,2]=>[8,3,4,1,7,5,6,2]=>[3,4,1,7,5,6,2]=>000000 [6,3,1,2,8,4,5,7]=>[3,1,6,8,4,2,5,7]=>[3,1,6,4,2,5,7]=>000001 [4,2,1,3,6,5,8,7]=>[2,4,1,3,6,5,8,7]=>[2,4,1,3,6,5,7]=>000101 [8,1,6,5,7,2,4,3]=>[8,7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>000000 [7,1,6,5,8,3,2,4]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>000000 [3,8,6,4,2,7,5,1]=>[5,4,3,7,6,8,1,2]=>[5,4,3,7,6,1,2]=>000000 [4,1,3,2,8,5,6,7]=>[4,3,1,2,8,5,6,7]=>[4,3,1,2,5,6,7]=>000111 [3,2,1,4,8,5,6,7]=>[2,3,1,4,8,5,6,7]=>[2,3,1,4,5,6,7]=>001111 [1,7,6,8,5,4,2,3]=>[1,4,2,5,8,7,6,3]=>[1,4,2,5,7,6,3]=>100000 [4,2,1,6,3,5,8,7]=>[2,4,6,1,3,5,8,7]=>[2,4,6,1,3,5,7]=>000001 [2,1,6,4,3,5,8,7]=>[2,1,4,6,3,5,8,7]=>[2,1,4,6,3,5,7]=>010001 [6,4,2,1,3,5,8,7]=>[2,4,1,6,3,5,8,7]=>[2,4,1,6,3,5,7]=>000001 [6,4,2,1,8,3,5,7]=>[2,4,6,8,3,5,1,7]=>[2,4,6,3,5,1,7]=>000001 [4,6,2,1,3,8,5,7]=>[2,6,1,4,8,3,5,7]=>[2,6,1,4,3,5,7]=>000001 [2,1,6,4,3,8,5,7]=>[2,1,4,6,8,3,5,7]=>[2,1,4,6,3,5,7]=>010001 [8,6,2,1,4,3,5,7]=>[2,6,4,1,3,8,5,7]=>[2,6,4,1,3,5,7]=>000001 [4,2,1,6,3,8,5,7]=>[2,4,6,1,8,3,5,7]=>[2,4,6,1,3,5,7]=>000001 [2,1,4,3,8,6,5,7]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,6,5,7]=>010101 [4,2,1,3,8,6,5,7]=>[2,4,1,3,6,8,5,7]=>[2,4,1,3,6,5,7]=>000101 [4,2,1,8,6,3,5,7]=>[2,4,6,1,3,8,5,7]=>[2,4,6,1,3,5,7]=>000001 [2,1,8,6,4,3,5,7]=>[2,1,4,6,3,8,5,7]=>[2,1,4,6,3,5,7]=>010001 [3,2,6,1,5,4,8,7]=>[6,3,2,5,1,4,8,7]=>[6,3,2,5,1,4,7]=>000001 [6,1,5,2,4,3,8,7]=>[6,5,4,2,1,3,8,7]=>[6,5,4,2,1,3,7]=>000001 [6,1,3,2,5,4,8,7]=>[6,3,1,5,2,4,8,7]=>[6,3,1,5,2,4,7]=>000001 [4,3,6,1,5,2,8,7]=>[6,5,4,3,1,2,8,7]=>[6,5,4,3,1,2,7]=>000001 [4,3,5,2,8,1,7,6]=>[8,5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>000000 [4,3,7,2,6,5,8,1]=>[8,7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>000000 [4,3,8,1,7,2,6,5]=>[8,7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>000000 [4,3,8,1,5,2,7,6]=>[8,5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>000000 [2,1,5,4,8,3,7,6]=>[2,1,8,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>010000 [5,4,7,6,8,1,3,2]=>[8,3,1,5,4,7,6,2]=>[3,1,5,4,7,6,2]=>000000 [4,3,7,6,8,1,5,2]=>[8,5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>000000 [4,3,6,5,8,1,7,2]=>[8,7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>000000 [6,3,5,4,7,2,8,1]=>[8,7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>000000 [6,3,5,4,8,1,7,2]=>[8,7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>000000 [7,4,6,5,8,1,3,2]=>[8,3,1,7,6,4,5,2]=>[3,1,7,6,4,5,2]=>000000 [8,1,6,3,4,2,7,5]=>[8,4,6,3,7,1,2,5]=>[4,6,3,7,1,2,5]=>000000 [8,2,7,1,5,3,6,4]=>[7,8,5,6,1,2,4,3]=>[7,5,6,1,2,4,3]=>000000 [8,1,7,2,4,3,6,5]=>[8,7,4,2,6,3,1,5]=>[7,4,2,6,3,1,5]=>000000 [8,1,3,2,7,4,6,5]=>[8,3,1,7,6,4,2,5]=>[3,1,7,6,4,2,5]=>000000 [2,1,8,3,7,4,6,5]=>[2,1,8,7,6,4,3,5]=>[2,1,7,6,4,3,5]=>010000 [2,1,8,3,5,4,7,6]=>[2,1,8,5,3,7,4,6]=>[2,1,5,3,7,4,6]=>010000 [8,1,3,2,5,4,7,6]=>[8,3,1,5,2,7,4,6]=>[3,1,5,2,7,4,6]=>000000 [8,1,5,2,4,3,7,6]=>[8,5,4,2,1,7,3,6]=>[5,4,2,1,7,3,6]=>000000 [3,2,8,1,7,4,6,5]=>[8,3,2,7,6,4,1,5]=>[3,2,7,6,4,1,5]=>000000 [3,2,8,1,5,4,7,6]=>[8,3,2,5,1,7,4,6]=>[3,2,5,1,7,4,6]=>000000 [3,2,4,1,8,5,7,6]=>[4,3,2,1,8,7,5,6]=>[4,3,2,1,7,5,6]=>000100 [4,1,3,2,7,6,8,5]=>[4,3,1,2,8,7,6,5]=>[4,3,1,2,7,6,5]=>000100 [3,2,7,6,8,1,5,4]=>[8,3,2,5,1,7,6,4]=>[3,2,5,1,7,6,4]=>000000 [3,2,6,5,8,1,7,4]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>000000 [7,6,8,1,5,2,4,3]=>[8,5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>000000 [7,6,8,1,3,2,5,4]=>[8,3,1,5,2,7,6,4]=>[3,1,5,2,7,6,4]=>000000 [7,2,8,1,5,4,6,3]=>[8,7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>000000 [5,4,7,2,6,3,8,1]=>[8,7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>000000 [6,1,8,4,7,2,5,3]=>[6,7,5,8,2,1,4,3]=>[6,7,5,2,1,4,3]=>000000 [6,5,8,1,3,2,7,4]=>[8,3,1,7,6,5,2,4]=>[3,1,7,6,5,2,4]=>000000 [2,1,6,5,8,3,7,4]=>[2,1,8,7,6,5,3,4]=>[2,1,7,6,5,3,4]=>010000 [6,5,7,4,8,1,3,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>000000 [5,4,6,3,8,1,7,2]=>[8,7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>000000 [6,5,3,1,2,4,8,7]=>[3,1,5,2,6,4,8,7]=>[3,1,5,2,6,4,7]=>000001 [3,5,1,4,6,2,8,7]=>[5,6,3,1,4,2,8,7]=>[5,6,3,1,4,2,7]=>000001 [4,7,1,3,5,8,6,2]=>[7,6,1,4,2,8,3,5]=>[7,6,1,4,2,3,5]=>000000 [2,1,8,7,5,3,4,6]=>[2,1,5,3,7,4,8,6]=>[2,1,5,3,7,4,6]=>010000 [2,8,7,5,4,1,3,6]=>[4,2,1,5,7,3,8,6]=>[4,2,1,5,7,3,6]=>000000 [5,7,8,6,4,2,1,3]=>[2,4,1,6,5,8,7,3]=>[2,4,1,6,5,7,3]=>000000 [2,1,5,7,3,6,8,4]=>[2,1,7,8,5,3,6,4]=>[2,1,7,5,3,6,4]=>010000 [3,5,6,4,7,1,8,2]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>000000 [4,2,1,7,3,5,8,6]=>[2,4,7,1,3,8,5,6]=>[2,4,7,1,3,5,6]=>000000 [7,2,5,1,4,3,8,6]=>[5,7,4,1,2,8,3,6]=>[5,7,4,1,2,3,6]=>000000 [1,8,5,7,4,3,6,2]=>[1,6,4,7,8,3,5,2]=>[1,6,4,7,3,5,2]=>100000 [3,8,6,1,7,2,5,4]=>[6,8,3,5,2,7,4,1]=>[6,3,5,2,7,4,1]=>000000 [4,3,6,7,8,1,2,5]=>[8,1,4,3,2,6,7,5]=>[1,4,3,2,6,7,5]=>100100 [8,4,1,5,7,3,6,2]=>[4,8,6,7,1,5,2,3]=>[4,6,7,1,5,2,3]=>000000 [5,3,1,7,2,8,4,6]=>[3,5,7,8,2,4,1,6]=>[3,5,7,2,4,1,6]=>000000 [6,3,1,8,4,7,5,2]=>[3,6,5,7,8,2,1,4]=>[3,6,5,7,2,1,4]=>000000 [4,6,8,2,7,1,5,3]=>[7,8,5,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>000000 [2,4,8,7,6,1,3,5]=>[6,2,1,4,3,7,8,5]=>[6,2,1,4,3,7,5]=>000000 [7,8,5,3,6,1,2,4]=>[6,1,5,2,8,3,7,4]=>[6,1,5,2,3,7,4]=>000000 [7,5,3,8,6,1,4,2]=>[6,4,5,1,8,7,2,3]=>[6,4,5,1,7,2,3]=>000000 [7,5,3,6,8,1,4,2]=>[8,4,5,1,7,3,6,2]=>[4,5,1,7,3,6,2]=>000000 [1,2,5,8,3,6,7,4]=>[1,2,8,7,5,3,6,4]=>[1,2,7,5,3,6,4]=>110000 [5,8,4,7,6,3,1,2]=>[3,1,6,7,5,8,2,4]=>[3,1,6,7,5,2,4]=>000000 [2,4,1,7,8,6,3,5]=>[4,2,6,1,3,8,7,5]=>[4,2,6,1,3,7,5]=>000000 [6,1,8,2,3,7,5,4]=>[6,8,2,5,7,1,3,4]=>[6,2,5,7,1,3,4]=>000000 [4,3,1,2,8,7,6,5]=>[3,1,4,2,6,7,8,5]=>[3,1,4,2,6,7,5]=>000100 [5,1,4,3,2,8,7,6]=>[5,3,4,1,2,7,8,6]=>[5,3,4,1,2,7,6]=>000010 [1,8,7,2,5,4,6,3]=>[1,7,6,5,2,4,8,3]=>[1,7,6,5,2,4,3]=>100000 [7,3,6,8,5,1,2,4]=>[5,1,8,2,7,4,6,3]=>[5,1,2,7,4,6,3]=>000000 [2,1,5,8,6,4,3,7]=>[2,1,4,6,5,8,3,7]=>[2,1,4,6,5,3,7]=>010001 [1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]=>[1,2,4,5,3,7,6]=>110010 [1,2,7,8,3,6,5,4]=>[1,2,8,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>110000 [3,6,7,1,4,8,5,2]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>000000 [3,6,2,4,7,8,1,5]=>[8,6,3,2,1,4,7,5]=>[6,3,2,1,4,7,5]=>000000 [5,6,7,8,1,3,4,2]=>[8,4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>000000 [5,7,8,6,1,2,3,4]=>[6,1,2,3,5,8,7,4]=>[6,1,2,3,5,7,4]=>000000 [3,4,1,7,5,6,8,2]=>[4,8,3,1,7,5,6,2]=>[4,3,1,7,5,6,2]=>000000 [2,4,6,1,7,5,8,3]=>[6,2,8,4,7,1,5,3]=>[6,2,4,7,1,5,3]=>000000 [5,8,1,6,4,3,2,7]=>[8,3,4,6,5,1,2,7]=>[3,4,6,5,1,2,7]=>000001 [4,7,5,2,8,1,6,3]=>[8,5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>000000 [4,6,3,8,5,1,7,2]=>[5,8,7,4,6,1,2,3]=>[5,7,4,6,1,2,3]=>000000 [1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]=>[1,6,3,7,5,2,4]=>100000 [1,6,7,4,2,3,8,5]=>[1,4,2,7,8,6,3,5]=>[1,4,2,7,6,3,5]=>100000 [7,6,1,4,3,8,5,2]=>[6,5,4,1,7,8,2,3]=>[6,5,4,1,7,2,3]=>000000 [1,8,3,4,7,2,6,5]=>[1,7,8,3,6,2,4,5]=>[1,7,3,6,2,4,5]=>100000 [7,5,8,4,3,2,1,6]=>[2,3,4,8,7,1,5,6]=>[2,3,4,7,1,5,6]=>000000 [7,8,2,1,4,3,6,5]=>[2,8,4,1,6,3,7,5]=>[2,4,1,6,3,7,5]=>000000 [4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,3,5]=>[6,4,2,7,1,3,5]=>000000 [6,7,4,5,1,8,2,3]=>[5,8,2,7,4,6,1,3]=>[5,2,7,4,6,1,3]=>000000 [6,7,2,3,1,8,4,5]=>[3,7,2,8,4,6,1,5]=>[3,7,2,4,6,1,5]=>000000 [6,7,3,4,1,8,2,5]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>000000 [3,8,1,5,2,7,4,6]=>[8,5,3,7,1,4,2,6]=>[5,3,7,1,4,2,6]=>000000 [3,4,2,5,1,8,6,7]=>[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,6,7]=>000011 [3,6,5,1,2,4,8,7]=>[5,1,3,2,6,4,8,7]=>[5,1,3,2,6,4,7]=>000001 [6,1,4,5,3,2,8,7]=>[6,3,5,1,4,2,8,7]=>[6,3,5,1,4,2,7]=>000001 [5,6,7,8,1,4,3,2]=>[8,3,4,1,5,6,7,2]=>[3,4,1,5,6,7,2]=>000000 [2,1,5,8,7,3,4,6]=>[2,1,7,3,5,4,8,6]=>[2,1,7,3,5,4,6]=>010000 [8,5,7,3,6,1,4,2]=>[6,4,7,1,8,3,5,2]=>[6,4,7,1,3,5,2]=>000000 [2,1,8,3,6,7,5,4]=>[2,1,8,5,7,3,6,4]=>[2,1,5,7,3,6,4]=>010000 [4,1,2,3,7,6,8,5]=>[4,1,2,3,8,7,6,5]=>[4,1,2,3,7,6,5]=>000100 [3,2,4,1,8,5,6,7]=>[4,3,2,1,8,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [5,8,4,7,2,1,3,6]=>[2,7,1,8,5,3,4,6]=>[2,7,1,5,3,4,6]=>000000 [3,8,7,6,1,4,2,5]=>[6,4,3,1,2,7,8,5]=>[6,4,3,1,2,7,5]=>000000 [5,1,8,3,6,7,2,4]=>[5,7,8,2,1,4,3,6]=>[5,7,2,1,4,3,6]=>000000 [3,6,1,4,7,8,5,2]=>[6,5,3,1,8,4,7,2]=>[6,5,3,1,4,7,2]=>000000 [4,7,1,2,5,3,8,6]=>[7,1,5,4,2,8,3,6]=>[7,1,5,4,2,3,6]=>000000 [1,8,6,4,5,2,3,7]=>[1,5,2,6,4,8,3,7]=>[1,5,2,6,4,3,7]=>100001 [1,8,3,2,5,6,7,4]=>[1,3,8,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>100000 [6,5,4,1,2,3,8,7]=>[4,1,2,5,6,3,8,7]=>[4,1,2,5,6,3,7]=>000001 [8,1,7,2,4,5,6,3]=>[8,7,6,2,3,4,1,5]=>[7,6,2,3,4,1,5]=>000000 [7,5,1,3,2,6,8,4]=>[5,3,1,7,8,2,4,6]=>[5,3,1,7,2,4,6]=>000000 [4,7,8,5,3,1,2,6]=>[3,1,5,4,8,2,7,6]=>[3,1,5,4,2,7,6]=>000010 [8,4,6,1,7,3,5,2]=>[6,5,7,8,3,4,1,2]=>[6,5,7,3,4,1,2]=>000000 [3,2,6,8,7,4,5,1]=>[5,3,2,7,4,6,8,1]=>[5,3,2,7,4,6,1]=>000000 [4,8,7,2,5,1,3,6]=>[5,7,1,4,2,3,8,6]=>[5,7,1,4,2,3,6]=>000000 [5,8,3,2,6,1,4,7]=>[6,3,8,1,5,2,4,7]=>[6,3,1,5,2,4,7]=>000001 [5,4,2,6,7,1,3,8]=>[7,4,1,5,2,6,3,8]=>[7,4,1,5,2,6,3]=>000000 [5,8,3,6,1,4,7,2]=>[6,7,8,1,5,3,4,2]=>[6,7,1,5,3,4,2]=>000000 [2,8,7,6,1,4,3,5]=>[6,2,4,1,3,7,8,5]=>[6,2,4,1,3,7,5]=>000000 [6,5,4,1,8,7,3,2]=>[4,3,5,6,7,1,8,2]=>[4,3,5,6,7,1,2]=>000000 [6,5,3,1,8,4,7,2]=>[3,5,6,7,8,1,2,4]=>[3,5,6,7,1,2,4]=>000000 [6,4,2,1,5,8,3,7]=>[2,4,6,8,1,3,5,7]=>[2,4,6,1,3,5,7]=>000001 [2,8,1,6,5,4,3,7]=>[8,2,4,5,6,1,3,7]=>[2,4,5,6,1,3,7]=>000001 [4,5,8,1,7,2,3,6]=>[8,7,2,4,5,3,1,6]=>[7,2,4,5,3,1,6]=>000000 [3,6,8,1,7,2,4,5]=>[8,7,3,2,4,6,1,5]=>[7,3,2,4,6,1,5]=>000000 [3,1,7,2,5,4,8,6]=>[3,7,1,5,2,8,4,6]=>[3,7,1,5,2,4,6]=>000000 [7,1,8,2,5,3,6,4]=>[7,8,5,6,2,3,1,4]=>[7,5,6,2,3,1,4]=>000000 [7,3,8,4,5,1,6,2]=>[5,6,7,8,4,3,2,1]=>[5,6,7,4,3,2,1]=>000000 [8,1,7,6,3,2,4,5]=>[8,3,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>000000 [2,1,7,8,3,6,5,4]=>[2,1,8,5,6,3,7,4]=>[2,1,5,6,3,7,4]=>010000 [6,3,4,2,1,7,8,5]=>[2,4,6,3,8,1,7,5]=>[2,4,6,3,1,7,5]=>000000 [5,6,1,4,3,2,8,7]=>[6,3,4,1,5,2,8,7]=>[6,3,4,1,5,2,7]=>000001 [5,8,4,3,2,1,7,6]=>[2,3,4,8,5,7,1,6]=>[2,3,4,5,7,1,6]=>000000 [3,5,2,6,8,4,1,7]=>[4,8,3,5,1,6,2,7]=>[4,3,5,1,6,2,7]=>000001 [3,5,2,7,4,8,6,1]=>[6,5,3,8,2,7,1,4]=>[6,5,3,2,7,1,4]=>000000 [3,6,2,7,8,5,4,1]=>[4,5,3,8,6,2,7,1]=>[4,5,3,6,2,7,1]=>000000 [4,1,5,6,7,8,3,2]=>[4,3,8,1,5,6,7,2]=>[4,3,1,5,6,7,2]=>000000 [4,1,7,3,8,5,6,2]=>[4,6,7,1,8,5,3,2]=>[4,6,7,1,5,3,2]=>000000 [4,5,7,3,2,8,6,1]=>[6,3,8,4,5,7,1,2]=>[6,3,4,5,7,1,2]=>000000 [5,6,8,3,4,2,1,7]=>[2,4,8,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>000001 [7,1,8,6,3,2,4,5]=>[7,3,6,2,4,8,1,5]=>[7,3,6,2,4,1,5]=>000000 [2,5,3,8,7,6,1,4]=>[6,2,5,1,3,7,8,4]=>[6,2,5,1,3,7,4]=>000000 [7,2,5,8,3,6,1,4]=>[6,7,8,1,3,5,2,4]=>[6,7,1,3,5,2,4]=>000000 [2,6,5,8,1,3,4,7]=>[8,2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>011001 [8,3,4,1,5,2,7,6]=>[4,5,8,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>000000 [3,4,6,5,7,1,8,2]=>[7,8,3,4,6,5,1,2]=>[7,3,4,6,5,1,2]=>000000 [7,5,8,2,4,6,1,3]=>[6,8,1,3,7,2,5,4]=>[6,1,3,7,2,5,4]=>000000 [8,2,7,4,6,1,3,5]=>[6,8,1,7,2,5,3,4]=>[6,1,7,2,5,3,4]=>000000 [1,2,8,3,5,6,7,4]=>[1,2,8,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>110000 [4,3,5,6,7,1,8,2]=>[7,8,4,3,5,6,1,2]=>[7,4,3,5,6,1,2]=>000000 [6,5,8,7,2,1,3,4]=>[2,7,1,3,6,5,8,4]=>[2,7,1,3,6,5,4]=>000000 [3,6,2,1,7,5,8,4]=>[2,6,3,8,7,1,5,4]=>[2,6,3,7,1,5,4]=>000000 [6,8,1,4,2,7,3,5]=>[8,4,7,1,3,6,2,5]=>[4,7,1,3,6,2,5]=>000000 [8,4,7,6,5,3,2,1]=>[2,3,5,6,7,8,4,1]=>[2,3,5,6,7,4,1]=>000000 [8,4,7,3,6,5,2,1]=>[2,5,6,7,8,1,3,4]=>[2,5,6,7,1,3,4]=>000000 [8,3,7,2,6,5,4,1]=>[4,5,6,7,8,1,2,3]=>[4,5,6,7,1,2,3]=>000000 [8,4,7,1,6,5,3,2]=>[7,3,5,6,8,1,2,4]=>[7,3,5,6,1,2,4]=>000000 [8,2,7,3,6,4,5,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>000000 [8,5,7,3,6,2,4,1]=>[4,6,7,2,8,3,5,1]=>[4,6,7,2,3,5,1]=>000000 [8,6,7,3,5,2,4,1]=>[4,5,7,2,3,8,6,1]=>[4,5,7,2,3,6,1]=>000000 [8,5,7,4,6,2,3,1]=>[3,6,2,7,8,4,5,1]=>[3,6,2,7,4,5,1]=>000000 [8,2,7,4,6,1,5,3]=>[6,8,5,7,1,4,2,3]=>[6,5,7,1,4,2,3]=>000000 [8,3,7,2,6,1,5,4]=>[6,7,8,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>000000 [4,6,7,3,8,5,2,1]=>[2,5,8,4,7,6,1,3]=>[2,5,4,7,6,1,3]=>000000 [4,7,1,3,2,8,6,5]=>[7,3,1,4,6,8,2,5]=>[7,3,1,4,6,2,5]=>000000 [2,7,3,1,5,8,4,6]=>[3,2,7,8,1,5,6,4]=>[3,2,7,1,5,6,4]=>000000 [4,3,2,1,5,8,6,7]=>[2,3,4,1,5,8,6,7]=>[2,3,4,1,5,6,7]=>000111 [3,4,6,1,5,8,2,7]=>[6,8,3,4,1,5,2,7]=>[6,3,4,1,5,2,7]=>000001 [4,1,7,3,8,5,2,6]=>[4,5,8,1,7,2,6,3]=>[4,5,1,7,2,6,3]=>000000 [6,7,1,3,4,5,8,2]=>[7,8,1,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>000000 [7,4,1,5,8,2,3,6]=>[4,7,2,8,1,5,3,6]=>[4,7,2,1,5,3,6]=>000000 [6,3,4,2,8,7,5,1]=>[5,4,7,3,6,1,8,2]=>[5,4,7,3,6,1,2]=>000000 [5,3,8,6,1,2,4,7]=>[6,1,5,2,3,8,4,7]=>[6,1,5,2,3,4,7]=>000001 [8,2,1,3,5,6,7,4]=>[2,8,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>010000 [4,1,3,8,2,6,7,5]=>[4,8,1,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>000000 [1,8,5,7,3,2,4,6]=>[1,3,7,2,8,4,5,6]=>[1,3,7,2,4,5,6]=>100000 [3,2,1,6,4,8,5,7]=>[2,3,1,6,8,4,5,7]=>[2,3,1,6,4,5,7]=>001001 [2,1,8,5,4,3,6,7]=>[2,1,4,5,8,3,6,7]=>[2,1,4,5,3,6,7]=>010011 [7,3,2,4,8,6,1,5]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>000000 [1,3,4,8,6,5,2,7]=>[1,5,3,4,6,8,2,7]=>[1,5,3,4,6,2,7]=>100001 [4,1,8,6,5,3,2,7]=>[4,3,5,1,6,8,2,7]=>[4,3,5,1,6,2,7]=>000001 [7,6,2,4,5,8,3,1]=>[3,8,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>000000 [1,6,7,5,2,8,3,4]=>[1,5,7,3,8,6,4,2]=>[1,5,7,3,6,4,2]=>100000 [5,7,3,8,2,4,6,1]=>[6,8,7,2,5,3,1,4]=>[6,7,2,5,3,1,4]=>000000 [1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]=>[1,2,5,7,4,3,6]=>110000 [4,3,8,1,2,6,7,5]=>[8,1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>100000 [1,5,7,4,8,6,3,2]=>[1,3,6,8,5,7,2,4]=>[1,3,6,5,7,2,4]=>100000 [7,3,8,1,4,2,6,5]=>[8,4,7,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>000000 [3,7,1,6,8,2,4,5]=>[7,8,3,2,4,1,6,5]=>[7,3,2,4,1,6,5]=>000000 [8,1,7,6,2,4,3,5]=>[8,6,4,2,3,7,1,5]=>[6,4,2,3,7,1,5]=>000000 [7,4,1,6,5,8,3,2]=>[4,3,7,8,6,1,2,5]=>[4,3,7,6,1,2,5]=>000000 [4,3,1,6,8,2,7,5]=>[3,4,8,2,7,6,1,5]=>[3,4,2,7,6,1,5]=>000000 [3,5,1,6,8,2,7,4]=>[5,8,3,7,1,6,2,4]=>[5,3,7,1,6,2,4]=>000000 [2,7,6,3,5,4,1,8]=>[4,2,5,6,1,7,3,8]=>[4,2,5,6,1,7,3]=>000000 [5,8,3,7,6,2,4,1]=>[4,6,7,2,5,8,1,3]=>[4,6,7,2,5,1,3]=>000000 [8,7,2,5,4,3,1,6]=>[3,4,5,7,2,1,8,6]=>[3,4,5,7,2,1,6]=>000000 [6,5,8,4,3,1,7,2]=>[3,4,8,7,6,5,1,2]=>[3,4,7,6,5,1,2]=>000000 [2,1,5,3,8,4,7,6]=>[2,1,5,8,3,7,4,6]=>[2,1,5,3,7,4,6]=>010000 [3,1,8,2,5,4,7,6]=>[3,8,1,5,2,7,4,6]=>[3,1,5,2,7,4,6]=>000000 [8,1,3,2,6,4,7,5]=>[8,3,1,6,7,2,4,5]=>[3,1,6,7,2,4,5]=>000000 [3,1,8,2,6,4,7,5]=>[3,8,1,6,7,2,4,5]=>[3,1,6,7,2,4,5]=>000000 [2,1,8,3,6,4,7,5]=>[2,1,8,6,7,3,4,5]=>[2,1,6,7,3,4,5]=>010000 [2,1,6,3,8,4,7,5]=>[2,1,6,8,7,3,4,5]=>[2,1,6,7,3,4,5]=>010000 [2,1,7,3,5,4,8,6]=>[2,1,7,5,3,8,4,6]=>[2,1,7,5,3,4,6]=>010000 [2,1,7,3,6,4,8,5]=>[2,1,7,6,8,3,4,5]=>[2,1,7,6,3,4,5]=>010000 [3,1,6,2,5,4,8,7]=>[3,6,1,5,2,4,8,7]=>[3,6,1,5,2,4,7]=>000001 [7,1,3,2,5,4,8,6]=>[7,3,1,5,2,8,4,6]=>[7,3,1,5,2,4,6]=>000000 [7,1,3,2,6,4,8,5]=>[7,3,1,6,8,2,4,5]=>[7,3,1,6,2,4,5]=>000000 [6,1,4,2,5,3,8,7]=>[6,4,5,1,2,3,8,7]=>[6,4,5,1,2,3,7]=>000001 [4,1,6,2,5,3,8,7]=>[4,6,5,1,2,3,8,7]=>[4,6,5,1,2,3,7]=>000001 [4,1,7,2,5,3,8,6]=>[4,7,5,1,2,8,3,6]=>[4,7,5,1,2,3,6]=>000000 [4,1,7,2,6,3,8,5]=>[4,7,6,1,8,2,3,5]=>[4,7,6,1,2,3,5]=>000000 [5,1,7,2,6,3,8,4]=>[5,7,6,8,1,2,3,4]=>[5,7,6,1,2,3,4]=>000000 [8,1,5,2,6,3,7,4]=>[8,5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>000000 [5,1,8,2,6,3,7,4]=>[5,8,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>000000 [5,1,6,2,8,3,7,4]=>[5,6,8,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>000000 [3,1,6,2,8,4,7,5]=>[3,6,1,8,7,2,4,5]=>[3,6,1,7,2,4,5]=>000000 [4,1,8,2,6,3,7,5]=>[4,8,6,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>000000 [8,1,4,2,6,3,7,5]=>[8,4,6,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>000000 [8,1,4,2,5,3,7,6]=>[8,4,5,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>000000 [4,1,8,2,5,3,7,6]=>[4,8,5,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>000000 [4,1,5,2,8,3,7,6]=>[4,5,8,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>000000 [3,1,5,2,8,4,7,6]=>[3,5,1,8,2,7,4,6]=>[3,5,1,2,7,4,6]=>000000 [3,1,4,2,8,5,7,6]=>[3,4,1,2,8,7,5,6]=>[3,4,1,2,7,5,6]=>000100 [4,1,3,2,7,5,8,6]=>[4,3,1,2,7,8,5,6]=>[4,3,1,2,7,5,6]=>000100 [5,1,4,2,8,3,7,6]=>[5,4,8,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>000000 [5,1,8,2,4,3,7,6]=>[5,8,4,2,1,7,3,6]=>[5,4,2,1,7,3,6]=>000000 [6,1,3,2,8,4,7,5]=>[6,3,1,8,7,2,4,5]=>[6,3,1,7,2,4,5]=>000000 [6,1,3,2,7,4,8,5]=>[6,3,1,7,8,2,4,5]=>[6,3,1,7,2,4,5]=>000000 [5,1,3,2,7,4,8,6]=>[5,3,1,7,2,8,4,6]=>[5,3,1,7,2,4,6]=>000000 [5,1,3,2,6,4,8,7]=>[5,3,1,6,2,4,8,7]=>[5,3,1,6,2,4,7]=>000001 [5,1,4,2,6,3,8,7]=>[5,4,6,1,2,3,8,7]=>[5,4,6,1,2,3,7]=>000001 [6,1,4,2,7,3,8,5]=>[6,4,7,1,8,2,3,5]=>[6,4,7,1,2,3,5]=>000000 [6,1,5,2,7,3,8,4]=>[6,5,7,8,1,2,3,4]=>[6,5,7,1,2,3,4]=>000000 [4,1,3,2,6,8,7,5]=>[4,3,1,2,7,6,8,5]=>[4,3,1,2,7,6,5]=>000100 [5,2,4,7,8,1,6,3]=>[8,5,6,2,4,1,7,3]=>[5,6,2,4,1,7,3]=>000000 [4,2,1,3,7,6,8,5]=>[2,4,1,3,8,7,6,5]=>[2,4,1,3,7,6,5]=>000100 [2,4,3,1,8,5,7,6]=>[3,2,4,1,8,7,5,6]=>[3,2,4,1,7,5,6]=>000100 [3,2,4,1,8,6,5,7]=>[4,3,2,1,6,8,5,7]=>[4,3,2,1,6,5,7]=>000101 [7,6,5,8,2,1,4,3]=>[2,8,4,1,6,7,5,3]=>[2,4,1,6,7,5,3]=>000000 [7,8,4,3,2,1,6,5]=>[2,3,4,8,6,1,7,5]=>[2,3,4,6,1,7,5]=>000000 [2,3,6,1,4,8,7,5]=>[6,2,3,1,7,4,8,5]=>[6,2,3,1,7,4,5]=>000000 [3,6,7,4,1,5,8,2]=>[4,7,3,8,1,6,2,5]=>[4,7,3,1,6,2,5]=>000000 [1,8,4,5,2,6,7,3]=>[1,5,7,8,4,3,2,6]=>[1,5,7,4,3,2,6]=>100000 [5,3,2,1,7,6,8,4]=>[2,3,5,8,1,7,6,4]=>[2,3,5,1,7,6,4]=>000000 [5,6,1,4,7,2,8,3]=>[6,7,8,1,5,4,2,3]=>[6,7,1,5,4,2,3]=>000000 [4,7,2,1,5,8,6,3]=>[2,7,6,4,1,8,5,3]=>[2,7,6,4,1,5,3]=>000000 [6,4,7,3,5,1,8,2]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>000000 [4,6,8,2,1,5,7,3]=>[2,8,7,4,1,6,5,3]=>[2,7,4,1,6,5,3]=>000000 [2,1,8,6,7,3,5,4]=>[2,1,7,5,3,8,6,4]=>[2,1,7,5,3,6,4]=>010000 [1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[1,2,6,3,7,5,4]=>110000 [8,4,1,2,7,5,3,6]=>[4,1,8,5,7,3,6,2]=>[4,1,5,7,3,6,2]=>000000 [2,1,7,8,6,3,4,5]=>[2,1,6,3,4,8,7,5]=>[2,1,6,3,4,7,5]=>010000 [5,2,6,3,4,1,8,7]=>[4,5,6,3,2,1,8,7]=>[4,5,6,3,2,1,7]=>000001 [4,1,2,6,5,3,8,7]=>[4,1,5,2,6,3,8,7]=>[4,1,5,2,6,3,7]=>000001 [2,6,5,3,1,4,8,7]=>[3,2,5,1,6,4,8,7]=>[3,2,5,1,6,4,7]=>000001 [2,1,7,4,8,5,6,3]=>[2,1,6,7,8,5,4,3]=>[2,1,6,7,5,4,3]=>010000 [2,1,6,3,4,8,7,5]=>[2,1,6,3,7,4,8,5]=>[2,1,6,3,7,4,5]=>010000 [4,6,7,2,5,8,3,1]=>[3,8,7,4,2,6,1,5]=>[3,7,4,2,6,1,5]=>000000 [6,2,1,3,4,8,7,5]=>[2,6,1,3,7,4,8,5]=>[2,6,1,3,7,4,5]=>000000 [3,2,8,7,4,5,1,6]=>[5,3,2,7,4,1,8,6]=>[5,3,2,7,4,1,6]=>000000 [8,3,2,6,1,4,7,5]=>[6,3,8,1,7,2,4,5]=>[6,3,1,7,2,4,5]=>000000 [2,6,1,3,8,7,5,4]=>[6,2,1,5,7,3,8,4]=>[6,2,1,5,7,3,4]=>000000 [8,3,2,7,1,6,5,4]=>[7,3,8,5,6,1,2,4]=>[7,3,5,6,1,2,4]=>000000 [7,4,2,8,1,6,5,3]=>[8,4,7,5,6,1,3,2]=>[4,7,5,6,1,3,2]=>000000 [7,4,5,8,6,2,1,3]=>[2,6,1,8,4,7,3,5]=>[2,6,1,4,7,3,5]=>000000 [5,1,7,6,4,2,8,3]=>[5,4,6,7,1,8,2,3]=>[5,4,6,7,1,2,3]=>000000 [4,1,8,5,7,3,6,2]=>[4,6,7,1,8,3,5,2]=>[4,6,7,1,3,5,2]=>000000 [4,6,8,3,5,7,2,1]=>[2,7,8,4,3,6,5,1]=>[2,7,4,3,6,5,1]=>000000 [6,3,7,2,4,8,1,5]=>[8,7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5]=>000000 [5,6,8,4,2,7,3,1]=>[3,7,4,8,5,6,1,2]=>[3,7,4,5,6,1,2]=>000000 [6,5,4,1,7,2,8,3]=>[4,5,6,7,8,3,1,2]=>[4,5,6,7,3,1,2]=>000000 [6,1,4,8,5,3,7,2]=>[6,7,5,1,8,4,3,2]=>[6,7,5,1,4,3,2]=>000000 [7,6,4,3,1,8,2,5]=>[3,4,6,7,2,8,5,1]=>[3,4,6,7,2,5,1]=>000000 [3,2,8,7,6,1,4,5]=>[6,3,2,1,4,7,8,5]=>[6,3,2,1,4,7,5]=>000000 [3,2,6,1,5,7,4,8]=>[6,3,2,7,1,5,4,8]=>[6,3,2,7,1,5,4]=>000000 [5,8,4,1,7,2,6,3]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>000000 [2,3,1,7,6,4,8,5]=>[3,2,1,6,7,8,5,4]=>[3,2,1,6,7,5,4]=>001000 [3,6,4,7,2,5,1,8]=>[5,7,3,6,2,4,1,8]=>[5,7,3,6,2,4,1]=>000000 [7,3,2,8,6,1,4,5]=>[6,3,8,1,2,7,4,5]=>[6,3,1,2,7,4,5]=>000000 [3,5,1,7,2,8,6,4]=>[5,7,3,6,1,8,2,4]=>[5,7,3,6,1,2,4]=>000000 [6,4,8,1,7,5,3,2]=>[8,3,5,7,6,2,1,4]=>[3,5,7,6,2,1,4]=>000000 [8,6,1,4,2,3,5,7]=>[6,4,2,1,3,8,5,7]=>[6,4,2,1,3,5,7]=>000001 [6,4,2,3,8,1,5,7]=>[8,4,2,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>000001 [6,2,4,3,8,1,5,7]=>[8,6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>000001 [3,6,5,2,4,1,8,7]=>[4,5,3,2,6,1,8,7]=>[4,5,3,2,6,1,7]=>000001 [1,3,6,8,7,5,2,4]=>[1,5,3,2,7,6,8,4]=>[1,5,3,2,7,6,4]=>100000 [1,2,7,3,5,8,6,4]=>[1,2,7,6,3,8,5,4]=>[1,2,7,6,3,5,4]=>110000 [7,3,2,4,5,1,8,6]=>[5,3,7,2,4,8,1,6]=>[5,3,7,2,4,1,6]=>000000 [8,1,4,3,6,5,7,2]=>[8,7,4,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>000000 [6,1,4,8,3,5,7,2]=>[6,7,8,1,4,5,3,2]=>[6,7,1,4,5,3,2]=>000000 [4,6,8,1,3,5,7,2]=>[8,7,1,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>000000 [2,1,6,3,8,5,7,4]=>[2,1,6,7,8,3,5,4]=>[2,1,6,7,3,5,4]=>010000 [2,1,8,3,6,5,7,4]=>[2,1,8,7,6,3,5,4]=>[2,1,7,6,3,5,4]=>010000 [6,5,8,4,3,2,1,7]=>[2,3,4,8,6,5,1,7]=>[2,3,4,6,5,1,7]=>000001 [7,8,2,1,5,6,4,3]=>[2,8,4,6,1,5,7,3]=>[2,4,6,1,5,7,3]=>000000 [5,4,2,8,6,1,7,3]=>[6,4,5,8,3,7,2,1]=>[6,4,5,3,7,2,1]=>000000 [6,3,2,8,4,1,7,5]=>[4,3,8,6,7,1,2,5]=>[4,3,6,7,1,2,5]=>000000 [7,5,8,6,2,1,4,3]=>[2,6,4,1,8,7,3,5]=>[2,6,4,1,7,3,5]=>000000 [8,3,4,7,2,5,6,1]=>[6,7,8,3,2,4,1,5]=>[6,7,3,2,4,1,5]=>000000 [6,3,7,2,4,8,5,1]=>[5,8,7,2,6,1,3,4]=>[5,7,2,6,1,3,4]=>000000 [8,7,6,1,4,5,2,3]=>[6,5,2,1,4,7,8,3]=>[6,5,2,1,4,7,3]=>000000 [2,8,3,1,5,6,7,4]=>[3,2,8,7,1,4,5,6]=>[3,2,7,1,4,5,6]=>000000 [8,2,7,1,5,4,6,3]=>[7,8,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>000000 [1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]=>[1,6,4,7,2,3,5]=>100000 [3,7,2,5,6,4,1,8]=>[4,6,3,7,2,1,5,8]=>[4,6,3,7,2,1,5]=>000000 [3,2,8,5,1,6,7,4]=>[5,3,2,8,7,1,4,6]=>[5,3,2,7,1,4,6]=>000000 [1,8,5,4,7,2,6,3]=>[1,7,6,5,8,2,4,3]=>[1,7,6,5,2,4,3]=>100000 [7,4,3,8,2,5,6,1]=>[6,8,4,7,2,3,1,5]=>[6,4,7,2,3,1,5]=>000000 [7,2,8,4,3,5,6,1]=>[6,7,4,8,3,5,2,1]=>[6,7,4,3,5,2,1]=>000000 [5,4,8,1,2,7,3,6]=>[8,1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6]=>100000 [7,2,8,6,1,5,3,4]=>[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>000000 [1,5,3,6,8,2,7,4]=>[1,8,5,7,3,6,2,4]=>[1,5,7,3,6,2,4]=>100000 [6,2,4,5,8,1,3,7]=>[8,6,1,3,4,2,5,7]=>[6,1,3,4,2,5,7]=>000001 [3,8,4,7,2,5,6,1]=>[6,7,3,8,2,4,1,5]=>[6,7,3,2,4,1,5]=>000000 [8,6,1,2,4,3,5,7]=>[6,1,4,2,3,8,5,7]=>[6,1,4,2,3,5,7]=>000001 [8,6,2,5,4,1,3,7]=>[4,5,1,6,3,8,2,7]=>[4,5,1,6,3,2,7]=>000001 [8,3,2,4,6,1,5,7]=>[6,3,8,2,1,4,5,7]=>[6,3,2,1,4,5,7]=>000001 [8,2,4,1,5,6,7,3]=>[4,8,7,2,1,3,5,6]=>[4,7,2,1,3,5,6]=>000000 [3,1,2,8,5,6,4,7]=>[3,1,2,6,8,5,4,7]=>[3,1,2,6,5,4,7]=>001001 [3,1,2,7,5,6,8,4]=>[3,1,2,8,7,5,6,4]=>[3,1,2,7,5,6,4]=>001000 [2,7,3,1,5,6,8,4]=>[3,2,7,8,1,4,5,6]=>[3,2,7,1,4,5,6]=>000000 [7,1,8,3,4,2,5,6]=>[7,4,8,3,2,5,1,6]=>[7,4,3,2,5,1,6]=>000000 [7,8,2,4,6,1,5,3]=>[6,8,5,2,1,4,7,3]=>[6,5,2,1,4,7,3]=>000000 [5,2,8,1,7,6,3,4]=>[8,5,6,3,2,7,1,4]=>[5,6,3,2,7,1,4]=>000000 [6,2,1,3,8,7,5,4]=>[2,6,1,5,7,3,8,4]=>[2,6,1,5,7,3,4]=>000000 [7,5,4,3,2,8,6,1]=>[6,3,4,5,8,7,1,2]=>[6,3,4,5,7,1,2]=>000000 [8,4,3,2,1,7,6,5]=>[2,3,4,8,6,7,1,5]=>[2,3,4,6,7,1,5]=>000000 [5,7,2,3,6,1,8,4]=>[6,7,2,8,5,3,1,4]=>[6,7,2,5,3,1,4]=>000000 [3,1,2,4,8,7,6,5]=>[3,1,2,4,6,7,8,5]=>[3,1,2,4,6,7,5]=>001100 [5,6,7,8,1,4,2,3]=>[8,4,2,1,5,6,7,3]=>[4,2,1,5,6,7,3]=>000000 [3,4,2,6,8,7,1,5]=>[7,4,3,2,1,6,8,5]=>[7,4,3,2,1,6,5]=>000000 [5,8,6,7,1,2,3,4]=>[7,1,2,3,5,8,6,4]=>[7,1,2,3,5,6,4]=>000000 [5,3,2,7,1,6,8,4]=>[7,3,5,8,2,1,6,4]=>[7,3,5,2,1,6,4]=>000000 [5,1,7,2,4,6,8,3]=>[5,7,8,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>000000 [5,1,6,8,4,2,7,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>000000 [7,5,8,3,2,4,1,6]=>[4,3,8,2,7,1,5,6]=>[4,3,2,7,1,5,6]=>000000 [5,7,4,8,2,1,3,6]=>[2,8,1,7,5,3,4,6]=>[2,1,7,5,3,4,6]=>010000 [2,6,8,1,3,7,5,4]=>[8,2,1,5,7,6,3,4]=>[2,1,5,7,6,3,4]=>010000 [6,2,8,3,1,7,5,4]=>[3,8,6,5,7,1,2,4]=>[3,6,5,7,1,2,4]=>000000 [7,4,3,8,5,2,1,6]=>[2,5,4,8,7,1,6,3]=>[2,5,4,7,1,6,3]=>000000 [4,2,3,8,5,1,6,7]=>[5,4,2,3,8,1,6,7]=>[5,4,2,3,1,6,7]=>000011 [5,3,8,7,4,1,6,2]=>[4,7,6,5,1,2,8,3]=>[4,7,6,5,1,2,3]=>000000 [6,4,8,3,5,2,7,1]=>[7,5,8,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>000000 [6,5,7,3,8,2,4,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>000000 [6,4,7,3,8,2,5,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>000000 [4,1,8,7,3,2,5,6]=>[4,3,7,1,2,5,8,6]=>[4,3,7,1,2,5,6]=>000000 [2,6,8,4,7,3,1,5]=>[3,2,7,8,1,6,4,5]=>[3,2,7,1,6,4,5]=>000000 [1,3,5,2,7,6,8,4]=>[1,5,3,8,2,7,6,4]=>[1,5,3,2,7,6,4]=>100000 [1,3,5,7,4,2,8,6]=>[1,4,3,7,5,8,2,6]=>[1,4,3,7,5,2,6]=>100000 [2,6,1,3,7,8,5,4]=>[6,2,1,5,8,3,7,4]=>[6,2,1,5,3,7,4]=>000000 [4,1,6,2,8,5,7,3]=>[4,6,7,1,8,2,5,3]=>[4,6,7,1,2,5,3]=>000000 [6,4,2,1,3,8,7,5]=>[2,4,1,6,7,3,8,5]=>[2,4,1,6,7,3,5]=>000000 [3,8,6,4,2,1,5,7]=>[2,4,3,6,1,8,5,7]=>[2,4,3,6,1,5,7]=>000001 [7,3,2,8,6,4,1,5]=>[4,3,6,8,1,7,2,5]=>[4,3,6,1,7,2,5]=>000000 [8,1,6,3,5,7,2,4]=>[8,7,6,2,4,1,3,5]=>[7,6,2,4,1,3,5]=>000000 [2,5,8,7,3,6,1,4]=>[6,2,7,1,5,3,8,4]=>[6,2,7,1,5,3,4]=>000000 [2,6,8,3,7,5,1,4]=>[5,2,7,1,8,6,4,3]=>[5,2,7,1,6,4,3]=>000000 [1,6,8,4,7,2,5,3]=>[1,7,5,8,2,6,4,3]=>[1,7,5,2,6,4,3]=>100000 [3,2,8,4,7,6,1,5]=>[6,3,2,7,1,8,5,4]=>[6,3,2,7,1,5,4]=>000000 [3,1,8,4,7,2,6,5]=>[3,7,1,8,6,2,4,5]=>[3,7,1,6,2,4,5]=>000000 [1,6,8,2,3,7,5,4]=>[1,8,2,5,7,6,3,4]=>[1,2,5,7,6,3,4]=>110000 [5,6,8,4,3,2,1,7]=>[2,3,4,8,5,6,1,7]=>[2,3,4,5,6,1,7]=>000001 [7,3,4,8,6,2,1,5]=>[2,6,8,3,1,7,5,4]=>[2,6,3,1,7,5,4]=>000000 [1,4,5,8,7,2,6,3]=>[1,7,6,4,5,2,8,3]=>[1,7,6,4,5,2,3]=>100000 [7,2,1,4,8,6,5,3]=>[2,7,5,1,6,8,4,3]=>[2,7,5,1,6,4,3]=>000000 [2,6,1,4,8,7,5,3]=>[6,2,5,1,7,4,8,3]=>[6,2,5,1,7,4,3]=>000000 [2,6,5,4,3,8,1,7]=>[8,2,4,5,6,3,1,7]=>[2,4,5,6,3,1,7]=>000001 [2,4,6,7,1,5,8,3]=>[7,2,8,4,1,6,5,3]=>[7,2,4,1,6,5,3]=>000000 [3,7,1,5,6,8,2,4]=>[7,8,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>000000 [4,6,7,1,2,5,8,3]=>[7,1,8,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>000000 [8,4,5,2,6,1,3,7]=>[6,5,1,8,4,2,3,7]=>[6,5,1,4,2,3,7]=>000001 [7,6,3,2,4,1,8,5]=>[4,3,6,2,7,8,5,1]=>[4,3,6,2,7,5,1]=>000000 [7,5,3,2,6,1,8,4]=>[6,3,5,7,8,2,4,1]=>[6,3,5,7,2,4,1]=>000000 [6,4,7,2,5,1,8,3]=>[5,7,8,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>000000 [1,5,7,8,6,3,4,2]=>[1,4,6,3,5,8,7,2]=>[1,4,6,3,5,7,2]=>100000 [4,3,1,2,6,5,8,7]=>[3,1,4,2,6,5,8,7]=>[3,1,4,2,6,5,7]=>000101 [6,1,4,3,5,2,8,7]=>[6,5,4,1,3,2,8,7]=>[6,5,4,1,3,2,7]=>000001 [2,1,6,5,3,4,8,7]=>[2,1,5,3,6,4,8,7]=>[2,1,5,3,6,4,7]=>010001 [2,8,3,6,7,5,1,4]=>[5,2,7,1,8,4,6,3]=>[5,2,7,1,4,6,3]=>000000 [2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,5,6]=>010100 [6,8,3,4,2,1,7,5]=>[2,4,8,3,7,6,1,5]=>[2,4,3,7,6,1,5]=>000000 [7,1,4,8,3,5,6,2]=>[7,6,8,1,4,5,2,3]=>[7,6,1,4,5,2,3]=>000000 [2,7,6,3,1,4,5,8]=>[3,2,6,1,4,7,5,8]=>[3,2,6,1,4,7,5]=>000000 [3,4,2,7,1,5,6,8]=>[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,5,6]=>000000 [6,5,1,2,8,3,7,4]=>[5,1,6,8,7,3,4,2]=>[5,1,6,7,3,4,2]=>000000 [5,8,7,1,4,3,2,6]=>[7,3,4,1,5,2,8,6]=>[7,3,4,1,5,2,6]=>000000 [5,6,1,2,4,3,8,7]=>[6,1,4,2,5,3,8,7]=>[6,1,4,2,5,3,7]=>000001 [3,6,8,1,2,7,5,4]=>[8,1,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>100000 [5,7,4,2,8,3,6,1]=>[6,4,7,8,5,3,1,2]=>[6,4,7,5,3,1,2]=>000000 [2,6,8,4,5,7,1,3]=>[7,2,1,8,4,6,5,3]=>[7,2,1,4,6,5,3]=>000000 [3,6,2,5,7,8,1,4]=>[8,6,3,1,4,2,7,5]=>[6,3,1,4,2,7,5]=>000000 [5,3,6,7,1,8,4,2]=>[7,4,8,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>000000 [6,1,3,8,2,7,4,5]=>[6,8,1,7,4,3,2,5]=>[6,1,7,4,3,2,5]=>000000 [3,5,7,4,1,6,8,2]=>[4,7,3,8,5,1,2,6]=>[4,7,3,5,1,2,6]=>000000 [4,8,2,6,5,7,1,3]=>[7,8,1,4,6,3,2,5]=>[7,1,4,6,3,2,5]=>000000 [6,7,1,4,3,2,5,8]=>[7,3,4,1,2,6,5,8]=>[7,3,4,1,2,6,5]=>000000 [2,7,1,3,6,5,4,8]=>[7,2,1,5,6,3,4,8]=>[7,2,1,5,6,3,4]=>000000 [6,3,7,1,5,4,2,8]=>[7,4,5,6,1,2,3,8]=>[7,4,5,6,1,2,3]=>000000 [8,7,3,6,1,5,4,2]=>[6,4,5,7,1,2,8,3]=>[6,4,5,7,1,2,3]=>000000 [8,3,7,6,4,2,1,5]=>[2,4,6,7,1,8,3,5]=>[2,4,6,7,1,3,5]=>000000 [1,7,6,4,3,8,2,5]=>[1,8,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>100000 [2,7,6,4,1,3,8,5]=>[4,2,1,6,7,8,5,3]=>[4,2,1,6,7,5,3]=>000000 [4,1,6,8,5,7,3,2]=>[4,3,7,1,8,6,5,2]=>[4,3,7,1,6,5,2]=>000000 [6,7,1,8,3,4,2,5]=>[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>000000 [7,8,1,6,3,4,2,5]=>[8,4,6,3,2,1,7,5]=>[4,6,3,2,1,7,5]=>000000 [1,8,2,7,4,5,3,6]=>[1,8,5,7,4,3,2,6]=>[1,5,7,4,3,2,6]=>100000 [2,3,1,8,5,6,4,7]=>[3,2,1,6,8,5,4,7]=>[3,2,1,6,5,4,7]=>001001 [3,5,2,7,4,8,1,6]=>[8,5,3,7,2,1,4,6]=>[5,3,7,2,1,4,6]=>000000 [4,7,2,3,1,8,5,6]=>[3,7,2,4,8,5,1,6]=>[3,7,2,4,5,1,6]=>000000 [6,8,2,1,7,4,3,5]=>[2,8,4,7,3,6,1,5]=>[2,4,7,3,6,1,5]=>000000 [2,8,4,6,7,3,1,5]=>[3,2,7,8,1,5,4,6]=>[3,2,7,1,5,4,6]=>000000 [4,2,1,3,6,8,7,5]=>[2,4,1,3,7,6,8,5]=>[2,4,1,3,7,6,5]=>000100 [2,4,3,1,8,6,5,7]=>[3,2,4,1,6,8,5,7]=>[3,2,4,1,6,5,7]=>000101 [6,2,1,8,4,3,7,5]=>[2,6,4,8,7,1,3,5]=>[2,6,4,7,1,3,5]=>000000 [6,4,8,2,1,5,7,3]=>[2,8,7,6,1,4,5,3]=>[2,7,6,1,4,5,3]=>000000 [2,6,8,4,7,1,5,3]=>[7,2,5,8,1,6,4,3]=>[7,2,5,1,6,4,3]=>000000 [4,8,6,7,2,1,3,5]=>[2,7,1,4,3,8,6,5]=>[2,7,1,4,3,6,5]=>000000 [3,5,1,6,4,2,8,7]=>[5,4,3,6,1,2,8,7]=>[5,4,3,6,1,2,7]=>000001 [3,8,2,5,4,7,6,1]=>[6,7,3,5,2,8,1,4]=>[6,7,3,5,2,1,4]=>000000 [4,6,7,1,8,5,3,2]=>[7,3,5,4,8,6,1,2]=>[7,3,5,4,6,1,2]=>000000 [3,6,1,7,8,5,4,2]=>[6,4,3,5,8,1,7,2]=>[6,4,3,5,1,7,2]=>000000 [2,1,5,7,3,8,6,4]=>[2,1,7,6,5,8,3,4]=>[2,1,7,6,5,3,4]=>010000 [4,1,2,3,7,8,6,5]=>[4,1,2,3,6,8,7,5]=>[4,1,2,3,6,7,5]=>000100 [3,4,2,1,8,5,6,7]=>[2,4,3,1,8,5,6,7]=>[2,4,3,1,5,6,7]=>000111 [2,1,5,8,4,6,7,3]=>[2,1,7,8,5,4,6,3]=>[2,1,7,5,4,6,3]=>010000 [4,6,8,3,5,2,7,1]=>[7,5,8,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>000000 [8,2,7,4,1,3,6,5]=>[4,7,1,8,6,2,3,5]=>[4,7,1,6,2,3,5]=>000000 [5,3,2,8,7,1,4,6]=>[7,3,5,1,2,4,8,6]=>[7,3,5,1,2,4,6]=>000000 [7,3,6,1,8,2,4,5]=>[6,8,7,2,3,5,1,4]=>[6,7,2,3,5,1,4]=>000000 [5,2,6,3,8,1,4,7]=>[8,5,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>000001 [5,3,8,7,2,1,4,6]=>[2,7,5,1,3,4,8,6]=>[2,7,5,1,3,4,6]=>000000 [7,3,8,1,5,2,4,6]=>[8,5,7,2,1,3,6,4]=>[5,7,2,1,3,6,4]=>000000 [1,8,4,2,3,6,7,5]=>[1,4,2,8,7,3,6,5]=>[1,4,2,7,3,6,5]=>100000 [4,5,2,3,1,7,8,6]=>[3,5,2,4,1,8,7,6]=>[3,5,2,4,1,7,6]=>000010 [2,7,8,3,6,5,1,4]=>[5,2,6,1,8,4,7,3]=>[5,2,6,1,4,7,3]=>000000 [2,6,4,1,5,3,8,7]=>[4,2,6,5,3,1,8,7]=>[4,2,6,5,3,1,7]=>000001 [5,3,2,8,1,6,4,7]=>[8,3,5,6,2,1,4,7]=>[3,5,6,2,1,4,7]=>000001 [2,4,5,8,3,6,1,7]=>[6,2,8,4,5,3,1,7]=>[6,2,4,5,3,1,7]=>000001 [8,6,1,3,5,2,4,7]=>[6,5,1,3,4,8,2,7]=>[6,5,1,3,4,2,7]=>000001 [7,5,8,4,1,3,2,6]=>[4,3,1,8,7,2,5,6]=>[4,3,1,7,2,5,6]=>000000 [4,6,7,2,8,3,1,5]=>[3,8,7,4,1,6,5,2]=>[3,7,4,1,6,5,2]=>000000 [7,5,2,8,4,1,3,6]=>[4,8,1,5,7,2,3,6]=>[4,1,5,7,2,3,6]=>000000 [3,7,8,4,1,5,6,2]=>[4,8,3,6,1,2,7,5]=>[4,3,6,1,2,7,5]=>000000 [5,4,1,6,2,3,8,7]=>[4,5,2,6,3,1,8,7]=>[4,5,2,6,3,1,7]=>000001 [5,8,7,6,1,2,3,4]=>[6,1,2,3,5,7,8,4]=>[6,1,2,3,5,7,4]=>000000 [6,4,8,3,5,7,1,2]=>[7,1,8,6,3,4,5,2]=>[7,1,6,3,4,5,2]=>000000 [6,1,5,7,2,4,8,3]=>[6,7,8,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>000000 [7,4,5,1,2,3,8,6]=>[5,1,2,7,4,8,3,6]=>[5,1,2,7,4,3,6]=>000000 [6,1,8,2,7,3,4,5]=>[6,8,7,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>000000 [6,5,8,4,3,1,2,7]=>[3,1,4,8,6,5,2,7]=>[3,1,4,6,5,2,7]=>000001 [6,8,2,3,4,7,5,1]=>[5,7,2,3,8,6,1,4]=>[5,7,2,3,6,1,4]=>000000 [2,1,7,8,3,4,6,5]=>[2,1,8,3,6,4,7,5]=>[2,1,3,6,4,7,5]=>011000 [5,6,1,8,2,7,4,3]=>[6,8,4,7,5,1,2,3]=>[6,4,7,5,1,2,3]=>000000 [2,1,7,3,5,8,6,4]=>[2,1,7,6,3,8,5,4]=>[2,1,7,6,3,5,4]=>010000 [6,8,5,2,1,7,3,4]=>[2,5,8,3,7,6,4,1]=>[2,5,3,7,6,4,1]=>000000 [6,2,5,1,7,4,8,3]=>[5,6,8,7,2,1,4,3]=>[5,6,7,2,1,4,3]=>000000 [3,4,1,2,7,8,6,5]=>[4,1,3,2,6,8,7,5]=>[4,1,3,2,6,7,5]=>000100 [3,1,2,4,7,6,8,5]=>[3,1,2,4,8,7,6,5]=>[3,1,2,4,7,6,5]=>001100 [8,4,7,6,2,3,1,5]=>[3,6,2,7,1,8,5,4]=>[3,6,2,7,1,5,4]=>000000 [4,5,2,1,6,8,3,7]=>[2,5,8,4,1,6,3,7]=>[2,5,4,1,6,3,7]=>000001 [1,3,2,8,5,4,6,7]=>[1,3,2,5,8,4,6,7]=>[1,3,2,5,4,6,7]=>101011 [2,8,7,1,4,5,3,6]=>[7,2,5,1,4,3,8,6]=>[7,2,5,1,4,3,6]=>000000 [4,2,1,8,7,3,5,6]=>[2,4,7,1,3,5,8,6]=>[2,4,7,1,3,5,6]=>000000 [8,7,4,6,2,3,1,5]=>[3,6,2,7,1,4,8,5]=>[3,6,2,7,1,4,5]=>000000 [5,1,6,3,2,8,7,4]=>[5,3,6,7,1,2,8,4]=>[5,3,6,7,1,2,4]=>000000 [3,4,2,8,6,1,5,7]=>[6,4,3,2,1,8,5,7]=>[6,4,3,2,1,5,7]=>000001 [3,1,7,4,8,5,2,6]=>[3,5,1,8,7,2,6,4]=>[3,5,1,7,2,6,4]=>000000 [7,3,1,4,5,2,8,6]=>[3,7,5,1,2,8,4,6]=>[3,7,5,1,2,4,6]=>000000 [8,1,2,4,6,7,5,3]=>[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>100000 [6,2,4,1,7,5,8,3]=>[4,6,8,2,7,1,5,3]=>[4,6,2,7,1,5,3]=>000000 [4,3,2,1,8,5,7,6]=>[2,3,4,1,8,7,5,6]=>[2,3,4,1,7,5,6]=>000100 [2,4,7,1,3,6,5,8]=>[7,2,1,4,6,3,5,8]=>[7,2,1,4,6,3,5]=>000000 [3,6,8,2,1,5,7,4]=>[2,8,3,7,1,6,5,4]=>[2,3,7,1,6,5,4]=>000000 [4,6,7,2,8,1,3,5]=>[8,7,1,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>000000 [3,7,4,8,5,2,1,6]=>[2,5,3,8,7,1,6,4]=>[2,5,3,7,1,6,4]=>000000 [3,1,2,7,8,6,4,5]=>[3,1,2,6,4,8,7,5]=>[3,1,2,6,4,7,5]=>001000 [2,7,5,8,3,4,1,6]=>[4,2,8,3,7,1,5,6]=>[4,2,3,7,1,5,6]=>000000 [7,8,1,2,6,5,3,4]=>[8,1,5,3,6,2,7,4]=>[1,5,3,6,2,7,4]=>100000 [6,1,4,2,7,5,3,8]=>[6,4,5,1,7,2,3,8]=>[6,4,5,1,7,2,3]=>000000 [6,2,4,1,7,3,5,8]=>[4,6,7,2,3,1,5,8]=>[4,6,7,2,3,1,5]=>000000 [2,7,3,8,6,4,1,5]=>[4,2,6,8,1,7,3,5]=>[4,2,6,1,7,3,5]=>000000 [3,1,2,4,6,8,7,5]=>[3,1,2,4,7,6,8,5]=>[3,1,2,4,7,6,5]=>001100 [4,2,1,6,3,8,7,5]=>[2,4,6,1,7,3,8,5]=>[2,4,6,1,7,3,5]=>000000 [5,1,7,3,6,2,8,4]=>[5,6,7,8,1,3,2,4]=>[5,6,7,1,3,2,4]=>000000 [4,3,2,1,6,8,5,7]=>[2,3,4,1,8,6,5,7]=>[2,3,4,1,6,5,7]=>000101 [2,4,1,3,8,7,6,5]=>[4,2,1,3,6,7,8,5]=>[4,2,1,3,6,7,5]=>000100 [4,8,6,5,1,7,3,2]=>[5,3,6,4,8,7,1,2]=>[5,3,6,4,7,1,2]=>000000 [6,5,3,1,7,2,8,4]=>[3,5,6,7,8,1,4,2]=>[3,5,6,7,1,4,2]=>000000 [4,3,2,8,7,6,1,5]=>[6,3,4,2,1,7,8,5]=>[6,3,4,2,1,7,5]=>000000 [5,6,3,1,2,4,8,7]=>[3,1,6,2,5,4,8,7]=>[3,1,6,2,5,4,7]=>000001 [3,7,6,4,2,8,5,1]=>[5,4,3,8,6,7,1,2]=>[5,4,3,6,7,1,2]=>000000 [7,1,8,5,4,2,3,6]=>[7,4,2,5,8,3,1,6]=>[7,4,2,5,3,1,6]=>000000 [2,1,7,8,5,3,4,6]=>[2,1,5,3,8,4,7,6]=>[2,1,5,3,4,7,6]=>010010 [8,6,4,1,3,2,5,7]=>[4,3,1,6,2,8,5,7]=>[4,3,1,6,2,5,7]=>000001 [8,1,3,2,6,5,4,7]=>[8,3,1,5,6,2,4,7]=>[3,1,5,6,2,4,7]=>000001 [5,4,1,6,8,2,7,3]=>[4,5,8,7,2,6,3,1]=>[4,5,7,2,6,3,1]=>000000 [3,5,1,7,8,4,2,6]=>[5,4,3,8,1,2,7,6]=>[5,4,3,1,2,7,6]=>000010 [6,4,2,1,3,7,8,5]=>[2,4,1,6,8,3,7,5]=>[2,4,1,6,3,7,5]=>000000 [8,4,6,5,2,1,7,3]=>[2,5,6,7,8,4,1,3]=>[2,5,6,7,4,1,3]=>000000 [4,2,1,5,6,7,8,3]=>[2,4,8,1,5,6,7,3]=>[2,4,1,5,6,7,3]=>000000 [7,3,5,2,4,6,1,8]=>[6,5,7,2,3,4,1,8]=>[6,5,7,2,3,4,1]=>000000 [5,3,7,2,4,6,1,8]=>[6,7,5,2,3,4,1,8]=>[6,7,5,2,3,4,1]=>000000 [3,7,5,2,4,1,6,8]=>[4,5,3,2,7,1,6,8]=>[4,5,3,2,7,1,6]=>000000 [3,5,2,7,1,4,6,8]=>[7,5,3,1,2,4,6,8]=>[7,5,3,1,2,4,6]=>000000 [3,2,5,7,4,1,6,8]=>[4,3,2,7,5,1,6,8]=>[4,3,2,7,5,1,6]=>000000 [3,2,5,1,7,4,6,8]=>[5,3,2,7,1,4,6,8]=>[5,3,2,7,1,4,6]=>000000 [5,3,1,7,2,4,6,8]=>[3,5,7,2,4,1,6,8]=>[3,5,7,2,4,1,6]=>000000 [7,6,4,2,5,1,8,3]=>[5,4,6,7,2,8,1,3]=>[5,4,6,7,2,1,3]=>000000 [7,6,2,8,3,1,4,5]=>[3,8,6,1,2,7,4,5]=>[3,6,1,2,7,4,5]=>000000 [3,2,5,1,7,8,4,6]=>[5,3,2,8,1,4,7,6]=>[5,3,2,1,4,7,6]=>000010 [3,4,7,6,8,1,2,5]=>[8,1,3,4,2,7,6,5]=>[1,3,4,2,7,6,5]=>100100 [3,5,2,7,4,1,8,6]=>[4,7,3,5,1,8,2,6]=>[4,7,3,5,1,2,6]=>000000 [5,2,3,8,4,1,7,6]=>[4,8,2,5,1,7,3,6]=>[4,2,5,1,7,3,6]=>000000 [7,2,8,5,1,3,4,6]=>[5,8,1,2,7,3,6,4]=>[5,1,2,7,3,6,4]=>000000 [3,8,4,7,6,1,5,2]=>[6,5,3,7,1,8,2,4]=>[6,5,3,7,1,2,4]=>000000 [5,7,1,4,2,6,3,8]=>[7,4,6,1,5,2,3,8]=>[7,4,6,1,5,2,3]=>000000 [6,3,7,2,8,1,5,4]=>[8,7,6,5,1,3,2,4]=>[7,6,5,1,3,2,4]=>000000 [3,6,2,7,8,1,5,4]=>[8,6,3,5,1,2,7,4]=>[6,3,5,1,2,7,4]=>000000 [2,7,3,8,1,5,6,4]=>[8,2,7,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>000000 [2,6,8,4,1,5,7,3]=>[4,2,8,7,1,6,3,5]=>[4,2,7,1,6,3,5]=>000000 [8,4,6,5,3,1,7,2]=>[3,5,6,7,8,4,2,1]=>[3,5,6,7,4,2,1]=>000000 [7,8,1,2,4,3,6,5]=>[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>100000 [5,2,4,1,3,7,8,6]=>[4,5,1,2,3,8,7,6]=>[4,5,1,2,3,7,6]=>000010 [3,5,1,6,4,7,8,2]=>[5,8,3,6,1,4,7,2]=>[5,3,6,1,4,7,2]=>000000 [3,6,4,2,1,7,8,5]=>[2,4,3,6,8,1,7,5]=>[2,4,3,6,1,7,5]=>000000 [8,1,5,4,7,2,6,3]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>000000 [8,2,5,3,7,1,6,4]=>[7,8,5,6,2,1,3,4]=>[7,5,6,2,1,3,4]=>000000 [8,3,5,7,6,4,2,1]=>[2,4,6,7,3,8,5,1]=>[2,4,6,7,3,5,1]=>000000 [8,6,5,1,3,4,2,7]=>[5,4,1,3,6,8,2,7]=>[5,4,1,3,6,2,7]=>000001 [2,6,8,7,4,3,5,1]=>[5,2,4,7,3,6,8,1]=>[5,2,4,7,3,6,1]=>000000 [3,1,7,4,5,2,8,6]=>[3,5,1,7,4,8,2,6]=>[3,5,1,7,4,2,6]=>000000 [5,4,2,1,3,7,8,6]=>[2,4,1,5,3,8,7,6]=>[2,4,1,5,3,7,6]=>000010 [8,5,6,7,1,4,3,2]=>[7,3,4,1,8,5,6,2]=>[7,3,4,1,5,6,2]=>000000 [5,4,3,6,7,1,8,2]=>[7,8,4,5,3,6,1,2]=>[7,4,5,3,6,1,2]=>000000 [6,8,5,7,4,2,1,3]=>[2,4,1,7,8,6,5,3]=>[2,4,1,7,6,5,3]=>000000 [2,1,8,7,6,3,4,5]=>[2,1,6,3,4,7,8,5]=>[2,1,6,3,4,7,5]=>010000 [2,4,1,7,8,5,6,3]=>[4,2,6,1,8,5,7,3]=>[4,2,6,1,5,7,3]=>000000 [6,8,4,3,2,1,7,5]=>[2,3,4,8,7,6,1,5]=>[2,3,4,7,6,1,5]=>000000 [4,1,2,3,7,6,5,8]=>[4,1,2,3,6,7,5,8]=>[4,1,2,3,6,7,5]=>000100 [1,8,4,7,3,6,5,2]=>[1,5,6,7,8,2,3,4]=>[1,5,6,7,2,3,4]=>100000 [4,8,5,7,1,2,6,3]=>[7,1,6,4,8,2,5,3]=>[7,1,6,4,2,5,3]=>000000 [6,8,5,4,2,7,1,3]=>[7,4,1,5,8,6,2,3]=>[7,4,1,5,6,2,3]=>000000 [3,4,5,8,7,6,1,2]=>[6,1,3,4,5,7,8,2]=>[6,1,3,4,5,7,2]=>000000 [7,3,8,6,2,4,1,5]=>[4,6,8,2,1,7,5,3]=>[4,6,2,1,7,5,3]=>000000 [7,5,8,4,1,2,6,3]=>[4,1,8,6,7,3,5,2]=>[4,1,6,7,3,5,2]=>000000 [5,3,6,1,2,7,4,8]=>[6,1,5,7,3,2,4,8]=>[6,1,5,7,3,2,4]=>000000 [5,1,3,8,4,6,7,2]=>[5,7,1,8,3,4,6,2]=>[5,7,1,3,4,6,2]=>000000 [5,2,8,6,7,3,4,1]=>[4,5,7,3,2,8,6,1]=>[4,5,7,3,2,6,1]=>000000 [7,5,2,3,8,6,4,1]=>[4,6,2,5,8,7,3,1]=>[4,6,2,5,7,3,1]=>000000 [7,4,1,2,6,8,5,3]=>[4,1,7,5,8,2,3,6]=>[4,1,7,5,2,3,6]=>000000 [8,4,5,1,7,3,6,2]=>[5,6,7,8,4,1,2,3]=>[5,6,7,4,1,2,3]=>000000 [7,5,8,6,1,2,3,4]=>[6,1,2,3,8,7,4,5]=>[6,1,2,3,7,4,5]=>000000 [7,4,8,5,6,2,3,1]=>[3,6,2,7,8,5,4,1]=>[3,6,2,7,5,4,1]=>000000 [2,1,8,7,3,4,6,5]=>[2,1,7,3,6,4,8,5]=>[2,1,7,3,6,4,5]=>010000 [4,1,2,8,7,5,3,6]=>[4,1,5,2,7,3,8,6]=>[4,1,5,2,7,3,6]=>000000 [1,4,6,7,8,3,5,2]=>[1,5,8,4,3,6,7,2]=>[1,5,4,3,6,7,2]=>100000 [2,8,5,3,1,4,6,7]=>[3,2,5,1,8,4,6,7]=>[3,2,5,1,4,6,7]=>000011 [3,5,1,7,4,8,6,2]=>[5,6,3,8,1,7,2,4]=>[5,6,3,1,7,2,4]=>000000 [3,5,8,4,1,6,7,2]=>[4,8,3,7,5,1,2,6]=>[4,3,7,5,1,2,6]=>000000 [3,6,7,4,8,5,1,2]=>[5,1,3,8,7,6,2,4]=>[5,1,3,7,6,2,4]=>000000 [4,5,7,3,8,6,1,2]=>[6,1,8,4,5,7,2,3]=>[6,1,4,5,7,2,3]=>000000 [4,6,8,3,5,1,7,2]=>[5,7,8,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>000000 [5,6,7,8,4,1,3,2]=>[4,3,1,8,5,6,7,2]=>[4,3,1,5,6,7,2]=>000000 [6,1,3,7,8,5,4,2]=>[6,4,1,5,8,3,7,2]=>[6,4,1,5,3,7,2]=>000000 [8,5,1,2,4,3,6,7]=>[5,1,4,2,8,3,6,7]=>[5,1,4,2,3,6,7]=>000011 [2,5,6,1,8,7,3,4]=>[6,2,7,3,5,1,8,4]=>[6,2,7,3,5,1,4]=>000000 [7,6,2,1,4,8,3,5]=>[2,6,7,1,4,8,3,5]=>[2,6,7,1,4,3,5]=>000000 [1,4,2,7,3,8,6,5]=>[1,4,7,2,6,8,3,5]=>[1,4,7,2,6,3,5]=>100000 [3,4,5,1,8,2,7,6]=>[5,8,3,4,1,7,2,6]=>[5,3,4,1,7,2,6]=>000000 [2,8,7,6,3,1,4,5]=>[3,2,6,1,4,7,8,5]=>[3,2,6,1,4,7,5]=>000000 [8,7,6,2,1,4,3,5]=>[2,6,4,1,3,7,8,5]=>[2,6,4,1,3,7,5]=>000000 [5,4,8,1,6,3,7,2]=>[8,7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>000000 [5,4,7,2,8,1,6,3]=>[8,7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>000000 [8,1,5,4,6,3,7,2]=>[8,7,6,5,1,2,4,3]=>[7,6,5,1,2,4,3]=>000000 [2,1,5,8,3,7,4,6]=>[2,1,8,7,5,4,3,6]=>[2,1,7,5,4,3,6]=>010000 [2,1,7,4,8,3,6,5]=>[2,1,8,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>010000 [5,1,4,8,2,7,3,6]=>[5,8,7,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>000000 [3,4,1,2,8,7,5,6]=>[4,1,3,2,7,5,8,6]=>[4,1,3,2,7,5,6]=>000100 [6,2,5,1,7,3,8,4]=>[5,6,7,8,2,1,3,4]=>[5,6,7,2,1,3,4]=>000000 [2,6,8,5,1,7,3,4]=>[5,2,8,3,7,6,4,1]=>[5,2,3,7,6,4,1]=>000000 [7,1,2,3,6,8,4,5]=>[7,1,2,8,4,3,6,5]=>[7,1,2,4,3,6,5]=>000000 [4,1,2,3,8,7,5,6]=>[4,1,2,3,7,5,8,6]=>[4,1,2,3,7,5,6]=>000100 [5,3,1,8,7,2,4,6]=>[3,5,7,2,4,1,8,6]=>[3,5,7,2,4,1,6]=>000000 [3,6,1,8,7,2,4,5]=>[6,7,3,2,4,1,8,5]=>[6,7,3,2,4,1,5]=>000000 [6,1,7,2,5,8,3,4]=>[6,7,8,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>000000 [1,4,2,8,5,3,7,6]=>[1,4,5,2,8,7,3,6]=>[1,4,5,2,7,3,6]=>100000 [3,1,5,2,8,6,7,4]=>[3,5,1,7,2,8,6,4]=>[3,5,1,7,2,6,4]=>000000 [6,2,5,1,8,3,4,7]=>[5,6,8,3,2,1,4,7]=>[5,6,3,2,1,4,7]=>000001 [6,5,8,3,4,2,1,7]=>[2,4,8,3,6,5,1,7]=>[2,4,3,6,5,1,7]=>000001 [3,5,6,1,4,2,7,8]=>[6,4,3,1,5,2,7,8]=>[6,4,3,1,5,2,7]=>000001 [3,6,2,7,8,5,1,4]=>[5,8,3,1,6,4,7,2]=>[5,3,1,6,4,7,2]=>000000 [3,6,2,7,8,1,4,5]=>[8,6,3,1,2,5,7,4]=>[6,3,1,2,5,7,4]=>000000 [8,1,4,5,3,6,7,2]=>[8,7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>000000 [2,6,7,8,5,3,1,4]=>[3,2,5,1,8,6,7,4]=>[3,2,5,1,6,7,4]=>000000 [7,2,3,4,8,1,6,5]=>[8,7,2,3,6,1,4,5]=>[7,2,3,6,1,4,5]=>000000 [7,3,5,1,8,2,6,4]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>000000 [8,1,2,3,7,5,6,4]=>[8,1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4]=>110000 [6,2,7,3,8,5,1,4]=>[5,8,6,1,7,3,4,2]=>[5,6,1,7,3,4,2]=>000000 [6,7,3,2,8,5,1,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>000000 [1,6,8,3,5,2,7,4]=>[1,5,8,7,3,6,2,4]=>[1,5,7,3,6,2,4]=>100000 [1,8,3,4,2,6,7,5]=>[1,4,8,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>100000 [4,6,7,1,8,5,2,3]=>[7,5,2,4,8,6,1,3]=>[7,5,2,4,6,1,3]=>000000 [7,2,3,8,5,4,1,6]=>[4,5,2,8,7,1,3,6]=>[4,5,2,7,1,3,6]=>000000 [3,2,5,6,8,1,4,7]=>[8,3,2,1,5,6,4,7]=>[3,2,1,5,6,4,7]=>001001 [6,1,5,8,2,3,7,4]=>[6,8,2,7,1,5,3,4]=>[6,2,7,1,5,3,4]=>000000 [8,1,6,3,4,7,2,5]=>[8,7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5]=>000000 [5,4,7,1,2,8,3,6]=>[7,1,8,5,4,3,2,6]=>[7,1,5,4,3,2,6]=>000000 [8,4,7,1,3,2,6,5]=>[7,3,1,8,6,2,4,5]=>[7,3,1,6,2,4,5]=>000000 [7,6,2,1,8,4,3,5]=>[2,6,4,7,3,8,5,1]=>[2,6,4,7,3,5,1]=>000000 [3,5,2,8,4,6,7,1]=>[7,5,3,8,2,4,6,1]=>[7,5,3,2,4,6,1]=>000000 [3,7,1,5,8,2,4,6]=>[7,8,3,2,1,5,6,4]=>[7,3,2,1,5,6,4]=>000000 [4,2,1,3,8,5,6,7]=>[2,4,1,3,8,5,6,7]=>[2,4,1,3,5,6,7]=>000111 [8,5,7,6,3,2,1,4]=>[2,3,6,1,7,8,4,5]=>[2,3,6,1,7,4,5]=>000000 [5,2,3,4,1,8,6,7]=>[4,5,2,3,1,8,6,7]=>[4,5,2,3,1,6,7]=>000011 [5,3,8,7,4,2,1,6]=>[2,4,7,5,1,3,8,6]=>[2,4,7,5,1,3,6]=>000000 [7,6,4,1,8,2,3,5]=>[4,6,2,7,3,8,1,5]=>[4,6,2,7,3,1,5]=>000000 [4,1,2,8,6,3,7,5]=>[4,1,6,2,8,7,5,3]=>[4,1,6,2,7,5,3]=>000000 [6,3,4,1,7,2,8,5]=>[4,7,6,3,8,1,2,5]=>[4,7,6,3,1,2,5]=>000000 [3,8,1,6,7,2,4,5]=>[8,7,3,2,4,1,6,5]=>[7,3,2,4,1,6,5]=>000000 [7,1,4,2,6,8,3,5]=>[7,4,8,1,3,2,6,5]=>[7,4,1,3,2,6,5]=>000000 [1,6,8,5,2,7,3,4]=>[1,5,8,3,7,6,4,2]=>[1,5,3,7,6,4,2]=>100000 [1,2,8,3,5,7,6,4]=>[1,2,8,6,3,7,5,4]=>[1,2,6,3,7,5,4]=>110000 [6,1,8,2,7,5,3,4]=>[6,8,5,3,7,1,2,4]=>[6,5,3,7,1,2,4]=>000000 [5,4,8,7,3,2,1,6]=>[2,3,7,5,4,1,8,6]=>[2,3,7,5,4,1,6]=>000000 [5,7,3,4,8,1,6,2]=>[8,6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>000000 [6,7,3,8,1,5,2,4]=>[8,5,7,2,1,6,3,4]=>[5,7,2,1,6,3,4]=>000000 [7,2,3,8,5,1,6,4]=>[5,8,2,7,6,3,4,1]=>[5,2,7,6,3,4,1]=>000000 [4,6,7,3,8,1,2,5]=>[8,1,7,4,2,6,3,5]=>[1,7,4,2,6,3,5]=>100000 [4,6,8,3,1,5,7,2]=>[3,8,7,4,1,6,2,5]=>[3,7,4,1,6,2,5]=>000000 [6,1,2,8,3,4,7,5]=>[6,1,8,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>000000 [3,1,8,2,5,4,6,7]=>[3,8,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>000011 [1,7,4,2,3,6,8,5]=>[1,4,2,7,8,3,6,5]=>[1,4,2,7,3,6,5]=>100000 [1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,5]=>100000 [5,3,8,7,6,2,1,4]=>[2,6,5,1,3,7,8,4]=>[2,6,5,1,3,7,4]=>000000 [5,7,8,4,3,2,1,6]=>[2,3,4,8,5,1,7,6]=>[2,3,4,5,1,7,6]=>000010 [3,6,1,7,8,4,2,5]=>[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>000000 [3,5,1,7,2,6,8,4]=>[5,7,3,8,1,2,6,4]=>[5,7,3,1,2,6,4]=>000000 [4,5,7,2,1,8,3,6]=>[2,7,8,4,5,3,1,6]=>[2,7,4,5,3,1,6]=>000000 [3,6,1,7,2,5,8,4]=>[6,7,3,8,2,1,5,4]=>[6,7,3,2,1,5,4]=>000000 [4,5,2,8,7,1,6,3]=>[7,5,6,4,2,1,8,3]=>[7,5,6,4,2,1,3]=>000000 [7,1,6,3,4,2,8,5]=>[7,4,6,3,8,1,2,5]=>[7,4,6,3,1,2,5]=>000000 [6,3,4,8,7,5,1,2]=>[5,1,7,3,6,2,8,4]=>[5,1,7,3,6,2,4]=>000000 [4,3,1,2,6,7,8,5]=>[3,1,4,2,8,6,7,5]=>[3,1,4,2,6,7,5]=>000100 [2,5,8,6,7,3,1,4]=>[3,2,7,1,5,8,6,4]=>[3,2,7,1,5,6,4]=>000000 [2,3,4,1,8,7,5,6]=>[4,2,3,1,7,5,8,6]=>[4,2,3,1,7,5,6]=>000100 [6,5,4,2,1,3,8,7]=>[2,4,1,5,6,3,8,7]=>[2,4,1,5,6,3,7]=>000001 [8,6,7,3,4,1,5,2]=>[4,5,7,3,1,8,6,2]=>[4,5,7,3,1,6,2]=>000000 [6,8,2,7,3,4,1,5]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>000000 [2,5,4,7,8,6,1,3]=>[6,2,1,5,4,8,7,3]=>[6,2,1,5,4,7,3]=>000000 [8,2,4,1,6,7,5,3]=>[4,8,5,2,7,1,6,3]=>[4,5,2,7,1,6,3]=>000000 [3,7,8,5,6,4,2,1]=>[2,4,3,6,8,5,7,1]=>[2,4,3,6,5,7,1]=>000000 [4,3,7,5,8,6,2,1]=>[2,6,4,3,8,7,1,5]=>[2,6,4,3,7,1,5]=>000000 [1,6,4,2,3,7,8,5]=>[1,4,2,6,8,3,7,5]=>[1,4,2,6,3,7,5]=>100000 [4,3,8,1,6,5,7,2]=>[8,7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>000000 [5,2,8,1,6,7,3,4]=>[8,5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>000000 [7,2,6,3,8,1,5,4]=>[8,7,6,5,1,4,2,3]=>[7,6,5,1,4,2,3]=>000000 [7,2,8,1,6,3,5,4]=>[8,7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4]=>000000 [7,4,8,2,3,5,6,1]=>[6,8,2,7,3,4,1,5]=>[6,2,7,3,4,1,5]=>000000 [7,3,4,5,8,1,6,2]=>[8,6,7,3,4,1,5,2]=>[6,7,3,4,1,5,2]=>000000 [1,2,5,3,7,6,8,4]=>[1,2,5,8,3,7,6,4]=>[1,2,5,3,7,6,4]=>110000 [3,6,8,2,5,7,4,1]=>[4,7,3,8,2,6,1,5]=>[4,7,3,2,6,1,5]=>000000 [5,4,2,6,1,8,7,3]=>[6,4,5,7,3,1,8,2]=>[6,4,5,7,3,1,2]=>000000 [4,5,6,2,7,3,8,1]=>[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>000000 [8,4,5,7,6,2,3,1]=>[3,6,2,7,4,8,1,5]=>[3,6,2,7,4,1,5]=>000000 [2,8,1,6,7,5,3,4]=>[8,2,5,3,7,1,6,4]=>[2,5,3,7,1,6,4]=>000000 [3,7,8,6,4,2,1,5]=>[2,4,3,6,1,8,7,5]=>[2,4,3,6,1,7,5]=>000000 [8,1,2,3,6,7,5,4]=>[8,1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>110000 [7,6,5,2,1,4,3,8]=>[2,5,4,1,6,7,3,8]=>[2,5,4,1,6,7,3]=>000000 [5,2,8,1,4,3,7,6]=>[8,5,4,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>000000 [8,4,7,3,1,5,2,6]=>[3,7,5,8,2,1,4,6]=>[3,7,5,2,1,4,6]=>000000 [8,3,2,7,6,1,4,5]=>[6,3,7,1,2,8,4,5]=>[6,3,7,1,2,4,5]=>000000 [3,8,2,7,6,4,1,5]=>[4,6,3,7,1,8,2,5]=>[4,6,3,7,1,2,5]=>000000 [5,2,4,1,6,3,8,7]=>[4,5,6,2,1,3,8,7]=>[4,5,6,2,1,3,7]=>000001 [2,1,7,4,6,3,8,5]=>[2,1,6,7,8,4,3,5]=>[2,1,6,7,4,3,5]=>010000 [8,4,3,5,7,2,6,1]=>[6,7,4,8,3,2,5,1]=>[6,7,4,3,2,5,1]=>000000 [8,1,5,3,2,6,7,4]=>[8,3,5,7,1,2,6,4]=>[3,5,7,1,2,6,4]=>000000 [1,6,8,3,2,4,7,5]=>[1,3,8,2,7,6,4,5]=>[1,3,2,7,6,4,5]=>101000 [8,6,1,2,4,5,7,3]=>[6,1,8,2,3,7,5,4]=>[6,1,2,3,7,5,4]=>000000 [3,5,2,6,1,4,8,7]=>[6,5,3,1,2,4,8,7]=>[6,5,3,1,2,4,7]=>000001 [4,5,7,2,3,8,6,1]=>[6,8,2,4,5,7,1,3]=>[6,2,4,5,7,1,3]=>000000 [4,5,7,2,3,8,1,6]=>[8,7,2,4,5,1,3,6]=>[7,2,4,5,1,3,6]=>000000 [4,5,6,2,3,1,8,7]=>[3,6,2,4,5,1,8,7]=>[3,6,2,4,5,1,7]=>000001 [4,5,6,2,1,3,8,7]=>[2,6,1,4,5,3,8,7]=>[2,6,1,4,5,3,7]=>000001 [4,5,6,1,3,2,8,7]=>[6,3,1,4,5,2,8,7]=>[6,3,1,4,5,2,7]=>000001 [4,5,6,3,1,2,8,7]=>[3,1,6,4,5,2,8,7]=>[3,1,6,4,5,2,7]=>000001 [4,5,7,3,2,8,1,6]=>[8,3,7,4,5,1,2,6]=>[3,7,4,5,1,2,6]=>000000 [4,6,7,3,8,2,5,1]=>[5,8,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>000000 [4,6,7,3,8,2,1,5]=>[2,8,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>000000 [4,5,7,3,1,8,2,6]=>[3,7,8,4,5,2,6,1]=>[3,7,4,5,2,6,1]=>000000 [3,5,1,7,4,8,2,6]=>[5,8,3,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>000000 [2,1,5,7,4,8,3,6]=>[2,1,8,7,5,3,4,6]=>[2,1,7,5,3,4,6]=>010000 [4,5,7,1,3,8,6,2]=>[7,6,1,4,5,8,3,2]=>[7,6,1,4,5,3,2]=>000000 [4,6,7,3,8,1,5,2]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>000000 [5,6,7,8,3,1,4,2]=>[3,8,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>000000 [4,6,7,1,8,3,5,2]=>[7,5,8,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>000000 [3,6,1,7,8,4,5,2]=>[6,5,3,8,4,1,7,2]=>[6,5,3,4,1,7,2]=>000000 [2,1,6,7,8,4,5,3]=>[2,1,5,8,4,6,7,3]=>[2,1,5,4,6,7,3]=>010000 [2,1,6,7,8,4,3,5]=>[2,1,4,8,3,6,7,5]=>[2,1,4,3,6,7,5]=>010100 [4,6,7,1,8,3,2,5]=>[7,3,8,4,2,6,1,5]=>[7,3,4,2,6,1,5]=>000000 [5,6,7,8,1,3,2,4]=>[8,3,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>001000 [4,6,7,2,8,3,5,1]=>[5,7,8,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>000000 [3,6,2,7,8,4,5,1]=>[5,6,3,8,4,2,7,1]=>[5,6,3,4,2,7,1]=>000000 [3,6,2,7,8,4,1,5]=>[4,8,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]=>000000 [3,4,2,1,7,8,5,6]=>[2,4,3,1,8,5,7,6]=>[2,4,3,1,5,7,6]=>000110 [4,6,7,2,8,5,3,1]=>[3,5,8,4,7,6,2,1]=>[3,5,4,7,6,2,1]=>000000 [4,6,7,2,8,5,1,3]=>[5,8,1,4,7,6,3,2]=>[5,1,4,7,6,3,2]=>000000 [4,5,7,1,2,8,6,3]=>[7,1,6,4,5,8,2,3]=>[7,1,6,4,5,2,3]=>000000 [2,1,6,7,8,3,5,4]=>[2,1,8,5,3,6,7,4]=>[2,1,5,3,6,7,4]=>010000 [3,6,1,7,8,2,5,4]=>[6,8,3,5,2,1,7,4]=>[6,3,5,2,1,7,4]=>000000 [4,6,7,1,8,2,5,3]=>[7,8,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>000000 [5,6,7,8,1,2,4,3]=>[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>100000 [5,6,7,8,2,4,1,3]=>[4,8,1,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>000000 [5,6,7,8,2,4,3,1]=>[3,4,8,1,5,6,7,2]=>[3,4,1,5,6,7,2]=>000000 [3,6,1,7,8,5,2,4]=>[6,5,3,2,8,1,7,4]=>[6,5,3,2,1,7,4]=>000000 [2,1,6,7,8,5,3,4]=>[2,1,5,3,8,6,7,4]=>[2,1,5,3,6,7,4]=>010000 [7,3,1,5,2,8,4,6]=>[3,7,5,8,2,4,1,6]=>[3,7,5,2,4,1,6]=>000000 [6,4,5,1,2,3,8,7]=>[5,1,2,6,4,3,8,7]=>[5,1,2,6,4,3,7]=>000001 [5,4,6,1,2,3,8,7]=>[6,1,2,5,4,3,8,7]=>[6,1,2,5,4,3,7]=>000001 [3,6,1,5,2,4,8,7]=>[6,5,3,2,1,4,8,7]=>[6,5,3,2,1,4,7]=>000001 [4,6,5,1,2,3,8,7]=>[5,1,2,4,6,3,8,7]=>[5,1,2,4,6,3,7]=>000001 [5,6,4,1,2,3,8,7]=>[4,1,2,6,5,3,8,7]=>[4,1,2,6,5,3,7]=>000001 [7,5,4,1,2,8,3,6]=>[4,1,5,7,8,3,2,6]=>[4,1,5,7,3,2,6]=>000000 [8,6,4,1,7,2,3,5]=>[4,6,2,8,3,7,1,5]=>[4,6,2,3,7,1,5]=>000000 [3,7,1,5,2,8,4,6]=>[7,5,3,8,1,4,2,6]=>[7,5,3,1,4,2,6]=>000000 [4,8,5,1,2,7,3,6]=>[5,1,8,4,7,3,6,2]=>[5,1,4,7,3,6,2]=>000000 [2,1,8,6,7,3,4,5]=>[2,1,7,3,4,8,6,5]=>[2,1,7,3,4,6,5]=>010000 [2,1,7,6,8,3,4,5]=>[2,1,8,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>011100 [5,7,6,8,1,2,3,4]=>[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,6,4]=>111000 [6,4,7,1,8,2,3,5]=>[7,8,2,6,3,4,1,5]=>[7,2,6,3,4,1,5]=>000000 [4,3,1,2,7,8,5,6]=>[3,1,4,2,8,5,7,6]=>[3,1,4,2,5,7,6]=>000110 [8,4,7,1,6,2,3,5]=>[7,6,2,8,3,1,4,5]=>[7,6,2,3,1,4,5]=>000000 [7,4,8,1,6,2,3,5]=>[8,6,2,7,3,1,4,5]=>[6,2,7,3,1,4,5]=>000000 [4,5,8,1,2,7,3,6]=>[8,1,7,4,5,3,2,6]=>[1,7,4,5,3,2,6]=>100000 [2,1,6,8,7,3,4,5]=>[2,1,7,3,4,6,8,5]=>[2,1,7,3,4,6,5]=>010000 [4,6,8,1,7,2,3,5]=>[8,7,2,4,3,6,1,5]=>[7,2,4,3,6,1,5]=>000000 [5,6,8,7,1,2,3,4]=>[7,1,2,3,5,6,8,4]=>[7,1,2,3,5,6,4]=>000000 [8,5,7,6,1,2,3,4]=>[6,1,2,3,7,8,4,5]=>[6,1,2,3,7,4,5]=>000000 [4,7,8,1,6,2,3,5]=>[8,6,2,4,3,1,7,5]=>[6,2,4,3,1,7,5]=>000000 [3,7,1,8,6,2,4,5]=>[7,6,3,2,4,8,1,5]=>[7,6,3,2,4,1,5]=>000000 [3,8,1,7,6,2,4,5]=>[8,6,3,2,4,7,1,5]=>[6,3,2,4,7,1,5]=>000000 [4,8,7,1,6,2,3,5]=>[7,6,2,4,3,1,8,5]=>[7,6,2,4,3,1,5]=>000000 [6,8,7,5,1,2,3,4]=>[5,1,2,3,7,6,8,4]=>[5,1,2,3,7,6,4]=>000000 [6,4,7,3,8,5,1,2]=>[5,1,8,7,6,2,4,3]=>[5,1,7,6,2,4,3]=>000000 [5,4,2,7,6,1,3,8]=>[6,4,1,5,2,7,3,8]=>[6,4,1,5,2,7,3]=>000000 [5,4,2,7,6,1,8,3]=>[6,4,5,7,3,8,2,1]=>[6,4,5,7,3,2,1]=>000000 [5,4,3,7,6,8,1,2]=>[8,1,4,5,3,7,6,2]=>[1,4,5,3,7,6,2]=>100000 [5,4,3,7,8,6,1,2]=>[6,1,4,5,3,8,7,2]=>[6,1,4,5,3,7,2]=>000000 [5,4,3,8,6,7,1,2]=>[7,1,4,5,3,8,6,2]=>[7,1,4,5,3,6,2]=>000000 [5,4,3,6,8,7,1,2]=>[7,1,4,5,3,6,8,2]=>[7,1,4,5,3,6,2]=>000000 [5,4,2,6,7,1,8,3]=>[7,4,5,8,3,6,1,2]=>[7,4,5,3,6,1,2]=>000000 [5,3,2,6,1,7,4,8]=>[6,3,5,7,2,1,4,8]=>[6,3,5,7,2,1,4]=>000000 [5,3,2,6,1,7,8,4]=>[6,3,5,8,2,1,7,4]=>[6,3,5,2,1,7,4]=>000000 [5,3,2,6,1,8,7,4]=>[6,3,5,7,2,1,8,4]=>[6,3,5,7,2,1,4]=>000000 [5,4,2,6,8,1,7,3]=>[8,4,5,7,3,6,1,2]=>[4,5,7,3,6,1,2]=>000000 [6,4,8,2,5,1,7,3]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>000000 [5,4,2,8,6,1,3,7]=>[6,4,1,5,2,8,3,7]=>[6,4,1,5,2,3,7]=>000001 [5,3,2,6,1,8,4,7]=>[6,3,5,8,2,1,4,7]=>[6,3,5,2,1,4,7]=>000001 [6,3,8,2,1,5,4,7]=>[2,8,6,5,1,3,4,7]=>[2,6,5,1,3,4,7]=>000001 [7,8,3,2,1,5,4,6]=>[2,3,8,5,1,4,7,6]=>[2,3,5,1,4,7,6]=>000010 [7,8,3,2,1,5,6,4]=>[2,3,8,6,1,5,7,4]=>[2,3,6,1,5,7,4]=>000000 [6,3,8,2,1,5,7,4]=>[2,8,6,7,1,3,5,4]=>[2,6,7,1,3,5,4]=>000000 [5,3,2,8,1,6,7,4]=>[8,3,5,7,2,1,6,4]=>[3,5,7,2,1,6,4]=>000000 [5,4,2,7,8,1,6,3]=>[8,4,5,6,3,1,7,2]=>[4,5,6,3,1,7,2]=>000000 [5,3,2,7,1,8,6,4]=>[7,3,5,6,2,8,1,4]=>[7,3,5,6,2,1,4]=>000000 [5,3,2,7,1,6,4,8]=>[7,3,5,6,2,1,4,8]=>[7,3,5,6,2,1,4]=>000000 [6,3,7,2,1,5,4,8]=>[2,7,6,5,1,3,4,8]=>[2,7,6,5,1,3,4]=>000000 [6,3,7,2,1,5,8,4]=>[2,7,6,8,1,3,5,4]=>[2,7,6,1,3,5,4]=>000000 [6,3,7,2,1,8,5,4]=>[2,7,6,5,8,3,1,4]=>[2,7,6,5,3,1,4]=>000000 [6,5,7,8,2,1,4,3]=>[2,8,4,1,6,5,7,3]=>[2,4,1,6,5,7,3]=>000000 [6,3,7,2,1,4,8,5]=>[2,7,6,1,8,3,4,5]=>[2,7,6,1,3,4,5]=>000000 [5,3,2,7,1,4,8,6]=>[7,3,5,1,2,8,4,6]=>[7,3,5,1,2,4,6]=>000000 [5,4,2,8,7,1,3,6]=>[7,4,1,5,2,3,8,6]=>[7,4,1,5,2,3,6]=>000000 [7,8,3,2,1,6,4,5]=>[2,3,8,6,4,1,7,5]=>[2,3,6,4,1,7,5]=>000000 [6,3,8,2,1,7,4,5]=>[2,8,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]=>000000 [5,3,2,8,1,7,4,6]=>[8,3,5,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>000000 [4,3,2,1,8,7,5,6]=>[2,3,4,1,7,5,8,6]=>[2,3,4,1,7,5,6]=>000100 [4,3,2,1,7,5,8,6]=>[2,3,4,1,7,8,5,6]=>[2,3,4,1,7,5,6]=>000100 [4,3,2,1,7,5,6,8]=>[2,3,4,1,7,5,6,8]=>[2,3,4,1,7,5,6]=>000100 [5,3,2,8,1,4,7,6]=>[8,3,5,1,2,7,4,6]=>[3,5,1,2,7,4,6]=>000000 [6,3,8,2,1,4,7,5]=>[2,8,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>000000 [7,8,3,2,1,4,6,5]=>[2,3,8,1,6,4,7,5]=>[2,3,1,6,4,7,5]=>001000 [4,3,2,1,8,5,6,7]=>[2,3,4,1,8,5,6,7]=>[2,3,4,1,5,6,7]=>000111 [7,8,5,6,1,2,4,3]=>[6,1,4,2,8,5,7,3]=>[6,1,4,2,5,7,3]=>000000 [7,8,4,1,6,2,5,3]=>[4,8,6,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>000000 [1,6,8,3,2,7,5,4]=>[1,3,8,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>100000 [6,1,8,3,2,7,5,4]=>[6,3,8,5,7,1,2,4]=>[6,3,5,7,1,2,4]=>000000 [7,8,1,3,2,6,5,4]=>[8,3,1,5,6,2,7,4]=>[3,1,5,6,2,7,4]=>000000 [7,8,3,1,2,6,5,4]=>[3,1,8,5,6,2,7,4]=>[3,1,5,6,2,7,4]=>000000 [7,8,2,3,1,6,5,4]=>[3,8,2,5,6,1,7,4]=>[3,2,5,6,1,7,4]=>000000 [7,8,2,1,3,6,5,4]=>[2,8,1,5,6,3,7,4]=>[2,1,5,6,3,7,4]=>010000 [7,8,1,2,3,6,5,4]=>[8,1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>110000 [1,5,2,8,3,7,6,4]=>[1,5,8,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>100000 [5,1,2,8,3,7,6,4]=>[5,1,8,6,2,7,3,4]=>[5,1,6,2,7,3,4]=>000000 [5,2,1,8,3,7,6,4]=>[2,5,8,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>000000 [6,2,8,1,3,7,5,4]=>[8,6,1,5,7,2,3,4]=>[6,1,5,7,2,3,4]=>000000 [6,2,8,4,7,1,5,3]=>[7,6,5,8,1,2,4,3]=>[7,6,5,1,2,4,3]=>000000 [6,3,8,4,7,5,1,2]=>[5,1,7,6,8,4,2,3]=>[5,1,7,6,4,2,3]=>000000 [2,6,8,3,1,7,5,4]=>[3,2,8,5,7,6,1,4]=>[3,2,5,7,6,1,4]=>000000 [2,5,1,8,3,7,6,4]=>[5,2,8,6,1,7,3,4]=>[5,2,6,1,7,3,4]=>000000 [1,2,5,8,3,7,6,4]=>[1,2,8,6,5,7,3,4]=>[1,2,6,5,7,3,4]=>110000 [2,5,3,8,1,7,6,4]=>[8,2,5,6,3,7,1,4]=>[2,5,6,3,7,1,4]=>000000 [2,5,4,8,7,1,6,3]=>[7,2,6,5,4,1,8,3]=>[7,2,6,5,4,1,3]=>000000 [3,5,4,8,7,6,1,2]=>[6,1,3,5,4,7,8,2]=>[6,1,3,5,4,7,2]=>000000 [5,3,4,8,7,6,1,2]=>[6,1,5,3,4,7,8,2]=>[6,1,5,3,4,7,2]=>000000 [5,2,4,8,7,1,6,3]=>[7,5,6,2,4,1,8,3]=>[7,5,6,2,4,1,3]=>000000 [5,2,3,8,1,7,6,4]=>[8,5,2,6,3,7,1,4]=>[5,2,6,3,7,1,4]=>000000 [4,1,2,3,8,7,6,5]=>[4,1,2,3,6,7,8,5]=>[4,1,2,3,6,7,5]=>000100 [1,4,2,3,8,7,6,5]=>[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,5]=>100100 [4,1,3,2,8,7,6,5]=>[4,3,1,2,6,7,8,5]=>[4,3,1,2,6,7,5]=>000100 [6,3,8,1,2,7,5,4]=>[8,1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>100000 [5,3,1,8,2,7,6,4]=>[3,5,8,6,2,7,1,4]=>[3,5,6,2,7,1,4]=>000000 [5,1,3,8,2,7,6,4]=>[5,8,1,6,3,7,2,4]=>[5,1,6,3,7,2,4]=>000000 [1,5,3,8,2,7,6,4]=>[1,8,5,6,3,7,2,4]=>[1,5,6,3,7,2,4]=>100000 [1,5,4,8,7,2,6,3]=>[1,7,6,5,4,2,8,3]=>[1,7,6,5,4,2,3]=>100000 [5,1,4,8,7,2,6,3]=>[5,7,6,1,4,2,8,3]=>[5,7,6,1,4,2,3]=>000000 [5,4,1,8,7,2,6,3]=>[4,5,7,6,2,3,8,1]=>[4,5,7,6,2,3,1]=>000000 [6,5,8,7,1,2,4,3]=>[7,1,4,2,6,5,8,3]=>[7,1,4,2,6,5,3]=>000000 [5,6,8,7,3,4,1,2]=>[4,1,7,3,5,6,8,2]=>[4,1,7,3,5,6,2]=>000000 [5,6,8,7,2,1,4,3]=>[2,7,4,1,5,6,8,3]=>[2,7,4,1,5,6,3]=>000000 [4,5,1,8,7,2,6,3]=>[5,7,6,4,1,2,8,3]=>[5,7,6,4,1,2,3]=>000000 [4,1,5,8,7,2,6,3]=>[4,7,6,1,5,2,8,3]=>[4,7,6,1,5,2,3]=>000000 [1,3,5,8,2,7,6,4]=>[1,8,3,6,5,7,2,4]=>[1,3,6,5,7,2,4]=>100000 [3,1,5,8,2,7,6,4]=>[3,8,1,6,5,7,2,4]=>[3,1,6,5,7,2,4]=>000000 [3,6,8,2,1,7,5,4]=>[2,8,3,5,7,6,1,4]=>[2,3,5,7,6,1,4]=>000000 [4,6,8,3,7,5,1,2]=>[5,1,7,4,8,6,2,3]=>[5,1,7,4,6,2,3]=>000000 [4,5,3,8,7,6,1,2]=>[6,1,5,4,3,7,8,2]=>[6,1,5,4,3,7,2]=>000000 [3,5,2,8,1,7,6,4]=>[8,5,3,6,2,7,1,4]=>[5,3,6,2,7,1,4]=>000000 [3,1,4,2,8,7,6,5]=>[3,4,1,2,6,7,8,5]=>[3,4,1,2,6,7,5]=>000100 [3,2,5,8,1,7,6,4]=>[8,3,2,6,5,7,1,4]=>[3,2,6,5,7,1,4]=>000000 [4,2,5,8,7,1,6,3]=>[7,4,6,2,5,1,8,3]=>[7,4,6,2,5,1,3]=>000000 [4,3,5,8,7,6,1,2]=>[6,1,4,3,5,7,8,2]=>[6,1,4,3,5,7,2]=>000000 [2,4,5,8,7,1,6,3]=>[7,2,6,4,5,1,8,3]=>[7,2,6,4,5,1,3]=>000000 [2,3,5,8,1,7,6,4]=>[8,2,3,6,5,7,1,4]=>[2,3,6,5,7,1,4]=>000000 [6,2,5,1,4,3,8,7]=>[5,6,4,1,2,3,8,7]=>[5,6,4,1,2,3,7]=>000001 [5,2,6,1,4,3,8,7]=>[6,5,4,1,2,3,8,7]=>[6,5,4,1,2,3,7]=>000001 [5,2,7,1,4,3,8,6]=>[7,5,4,1,2,8,3,6]=>[7,5,4,1,2,3,6]=>000000 [6,2,8,1,4,3,7,5]=>[8,6,4,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>000000 [6,2,7,1,4,3,8,5]=>[7,6,4,1,8,2,3,5]=>[7,6,4,1,2,3,5]=>000000 [7,2,6,1,4,3,8,5]=>[6,7,4,1,8,2,3,5]=>[6,7,4,1,2,3,5]=>000000 [8,2,5,1,4,3,7,6]=>[5,8,4,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>000000 [8,1,4,3,7,2,6,5]=>[8,7,4,1,6,3,5,2]=>[7,4,1,6,3,5,2]=>000000 [8,2,6,1,5,3,7,4]=>[6,8,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>000000 [7,2,6,1,5,3,8,4]=>[6,7,5,8,1,2,3,4]=>[6,7,5,1,2,3,4]=>000000 [6,2,7,1,5,3,8,4]=>[7,6,5,8,1,2,3,4]=>[7,6,5,1,2,3,4]=>000000 [6,2,8,1,5,3,7,4]=>[8,6,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>000000 [7,4,8,1,3,2,6,5]=>[8,3,1,7,6,2,4,5]=>[3,1,7,6,2,4,5]=>000000 [8,3,7,1,4,2,6,5]=>[7,4,8,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>000000 [8,3,7,1,5,2,6,4]=>[7,5,8,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>000000 [7,3,8,1,5,2,6,4]=>[8,5,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>000000 [6,2,7,3,8,1,5,4]=>[8,6,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>000000 [6,2,8,3,7,1,5,4]=>[7,6,8,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>000000 [5,1,8,3,7,2,6,4]=>[5,7,8,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>000000 [4,1,8,3,7,2,6,5]=>[4,7,8,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>000000 [3,1,7,4,8,2,6,5]=>[3,8,1,7,6,2,4,5]=>[3,1,7,6,2,4,5]=>000000 [4,1,7,3,8,2,6,5]=>[4,8,7,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>000000 [5,1,7,3,8,2,6,4]=>[5,8,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>000000 [7,3,8,2,6,1,5,4]=>[6,8,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>000000 [3,4,2,6,8,1,5,7]=>[8,4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>000101 [7,4,2,5,8,3,6,1]=>[6,4,7,8,2,5,3,1]=>[6,4,7,2,5,3,1]=>000000 [5,3,7,8,1,4,2,6]=>[8,4,5,1,3,2,7,6]=>[4,5,1,3,2,7,6]=>000010 [5,1,6,7,3,2,8,4]=>[5,3,7,8,1,6,2,4]=>[5,3,7,1,6,2,4]=>000000 [5,6,1,7,3,2,8,4]=>[6,3,7,8,5,1,2,4]=>[6,3,7,5,1,2,4]=>000000 [3,6,7,2,1,8,4,5]=>[2,7,3,8,4,6,1,5]=>[2,7,3,4,6,1,5]=>000000 [5,6,7,2,1,8,4,3]=>[2,7,4,8,5,6,1,3]=>[2,7,4,5,6,1,3]=>000000 [3,1,5,6,7,8,4,2]=>[3,4,1,8,5,6,7,2]=>[3,4,1,5,6,7,2]=>000000 [1,6,4,7,8,5,2,3]=>[1,5,2,8,6,3,7,4]=>[1,5,2,6,3,7,4]=>100000 [6,4,1,7,2,3,5,8]=>[4,6,2,7,3,5,1,8]=>[4,6,2,7,3,5,1]=>000000 [6,4,1,8,2,3,5,7]=>[4,6,2,8,3,5,1,7]=>[4,6,2,3,5,1,7]=>000001 [7,1,5,2,8,4,6,3]=>[7,5,6,8,1,4,2,3]=>[7,5,6,1,4,2,3]=>000000 [7,4,1,6,2,3,5,8]=>[4,7,2,6,3,5,1,8]=>[4,7,2,6,3,5,1]=>000000 [5,1,8,2,7,4,6,3]=>[5,8,6,7,1,4,2,3]=>[5,6,7,1,4,2,3]=>000000 [1,7,8,6,3,4,5,2]=>[1,5,6,3,4,8,7,2]=>[1,5,6,3,4,7,2]=>100000 [2,6,1,4,5,3,8,7]=>[6,2,5,1,4,3,8,7]=>[6,2,5,1,4,3,7]=>000001 [6,3,1,4,5,2,8,7]=>[3,6,5,1,2,4,8,7]=>[3,6,5,1,2,4,7]=>000001 [3,1,6,4,5,2,8,7]=>[3,5,1,6,4,2,8,7]=>[3,5,1,6,4,2,7]=>000001 [8,4,1,3,5,6,7,2]=>[4,8,1,7,2,3,5,6]=>[4,1,7,2,3,5,6]=>000000 [2,1,4,8,3,6,7,5]=>[2,1,8,4,7,3,6,5]=>[2,1,4,7,3,6,5]=>010000 [8,3,1,2,5,6,7,4]=>[3,1,8,7,2,4,5,6]=>[3,1,7,2,4,5,6]=>000000 [2,1,8,5,3,6,7,4]=>[2,1,5,8,7,3,4,6]=>[2,1,5,7,3,4,6]=>010000 [2,1,5,3,8,6,7,4]=>[2,1,5,7,3,8,6,4]=>[2,1,5,7,3,6,4]=>010000 [1,7,5,2,8,3,4,6]=>[1,5,7,3,8,4,6,2]=>[1,5,7,3,4,6,2]=>100000 [1,8,5,2,7,3,4,6]=>[1,5,8,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>100000 [7,1,6,8,2,3,4,5]=>[7,8,2,3,4,1,6,5]=>[7,2,3,4,1,6,5]=>000000 [2,8,5,6,7,4,1,3]=>[4,2,1,7,8,5,6,3]=>[4,2,1,7,5,6,3]=>000000 [6,5,2,7,3,1,8,4]=>[3,7,5,6,8,4,2,1]=>[3,7,5,6,4,2,1]=>000000 [4,1,2,3,8,6,5,7]=>[4,1,2,3,6,8,5,7]=>[4,1,2,3,6,5,7]=>000101 [4,1,2,3,8,6,7,5]=>[4,1,2,3,7,8,6,5]=>[4,1,2,3,7,6,5]=>000100 [4,1,2,3,8,5,7,6]=>[4,1,2,3,8,7,5,6]=>[4,1,2,3,7,5,6]=>000100 [5,7,8,6,3,4,2,1]=>[2,4,6,3,5,8,7,1]=>[2,4,6,3,5,7,1]=>000000 [6,1,2,5,8,4,7,3]=>[6,1,7,8,2,5,4,3]=>[6,1,7,2,5,4,3]=>000000 [4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,7,6]=>000110 [6,4,2,7,1,3,8,5]=>[7,4,1,6,8,2,3,5]=>[7,4,1,6,2,3,5]=>000000 [5,7,2,6,1,8,3,4]=>[6,7,8,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>000000 [3,6,5,8,1,2,4,7]=>[8,1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>101001 [3,6,8,2,7,1,4,5]=>[7,8,3,1,2,6,5,4]=>[7,3,1,2,6,5,4]=>000000 [3,5,8,7,1,2,4,6]=>[7,1,3,2,5,4,8,6]=>[7,1,3,2,5,4,6]=>000000 [7,8,5,2,3,6,1,4]=>[6,5,2,1,8,3,7,4]=>[6,5,2,1,3,7,4]=>000000 [4,1,7,5,8,2,3,6]=>[4,8,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>000000 [6,3,7,1,2,8,4,5]=>[7,1,6,8,4,3,2,5]=>[7,1,6,4,3,2,5]=>000000 [7,2,6,1,8,3,4,5]=>[6,7,8,3,4,2,1,5]=>[6,7,3,4,2,1,5]=>000000 [5,4,8,7,6,1,2,3]=>[6,1,2,5,4,7,8,3]=>[6,1,2,5,4,7,3]=>000000 [6,8,3,7,5,1,2,4]=>[5,1,7,2,8,6,4,3]=>[5,1,7,2,6,4,3]=>000000 [8,1,6,7,3,2,4,5]=>[8,3,7,2,4,1,6,5]=>[3,7,2,4,1,6,5]=>000000 [7,5,1,3,6,2,8,4]=>[5,7,1,6,8,2,4,3]=>[5,7,1,6,2,4,3]=>000000 [7,5,1,4,6,8,2,3]=>[5,7,2,1,8,3,6,4]=>[5,7,2,1,3,6,4]=>000000 [6,4,3,8,2,5,1,7]=>[5,8,4,6,2,3,1,7]=>[5,4,6,2,3,1,7]=>000001 [5,6,8,3,4,1,2,7]=>[4,1,8,3,5,6,2,7]=>[4,1,3,5,6,2,7]=>000001 [4,7,2,8,1,6,3,5]=>[8,7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5]=>000000 [5,7,8,3,1,2,4,6]=>[3,1,8,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>001010 [8,3,5,1,7,4,6,2]=>[5,6,8,7,3,4,1,2]=>[5,6,7,3,4,1,2]=>000000 [8,3,4,1,7,5,6,2]=>[4,6,8,3,7,5,1,2]=>[4,6,3,7,5,1,2]=>000000 [4,6,2,1,7,5,8,3]=>[2,6,8,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>000000 [1,4,6,2,7,5,8,3]=>[1,6,8,4,7,2,5,3]=>[1,6,4,7,2,5,3]=>100000 [6,8,4,3,1,7,5,2]=>[3,4,8,5,7,6,1,2]=>[3,4,5,7,6,1,2]=>000000 [4,7,5,6,1,8,3,2]=>[6,3,8,4,7,5,1,2]=>[6,3,4,7,5,1,2]=>000000 [1,5,3,2,7,6,8,4]=>[1,3,5,8,2,7,6,4]=>[1,3,5,2,7,6,4]=>100000 [2,5,3,1,7,6,8,4]=>[3,2,5,8,1,7,6,4]=>[3,2,5,1,7,6,4]=>000000 [4,7,1,6,5,8,2,3]=>[7,8,2,4,6,1,5,3]=>[7,2,4,6,1,5,3]=>000000 [4,6,1,2,7,5,8,3]=>[6,1,8,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>000000 [5,3,1,2,7,6,8,4]=>[3,1,5,8,2,7,6,4]=>[3,1,5,2,7,6,4]=>000000 [4,3,1,2,7,6,8,5]=>[3,1,4,2,8,7,6,5]=>[3,1,4,2,7,6,5]=>000100 [3,5,1,2,7,6,8,4]=>[5,1,3,8,2,7,6,4]=>[5,1,3,2,7,6,4]=>000000 [6,7,1,5,8,2,3,4]=>[7,8,2,3,1,6,5,4]=>[7,2,3,1,6,5,4]=>000000 [2,3,5,1,7,6,8,4]=>[5,2,3,8,1,7,6,4]=>[5,2,3,1,7,6,4]=>000000 [5,2,3,1,7,6,8,4]=>[3,5,2,8,1,7,6,4]=>[3,5,2,1,7,6,4]=>000000 [3,5,2,1,7,6,8,4]=>[2,5,3,8,1,7,6,4]=>[2,5,3,1,7,6,4]=>000000 [6,1,5,2,7,4,8,3]=>[6,5,8,7,1,2,4,3]=>[6,5,7,1,2,4,3]=>000000 [1,5,2,3,7,6,8,4]=>[1,5,2,8,3,7,6,4]=>[1,5,2,3,7,6,4]=>100000 [5,2,1,3,7,6,8,4]=>[2,5,1,8,3,7,6,4]=>[2,5,1,3,7,6,4]=>000000 [6,1,4,2,7,5,8,3]=>[6,4,8,1,7,2,5,3]=>[6,4,1,7,2,5,3]=>000000 [5,1,3,2,7,6,8,4]=>[5,3,1,8,2,7,6,4]=>[5,3,1,2,7,6,4]=>000000 [1,4,2,3,7,6,8,5]=>[1,4,2,3,8,7,6,5]=>[1,4,2,3,7,6,5]=>100100 [2,4,1,3,7,6,8,5]=>[4,2,1,3,8,7,6,5]=>[4,2,1,3,7,6,5]=>000100 [2,5,1,3,7,6,8,4]=>[5,2,1,8,3,7,6,4]=>[5,2,1,3,7,6,4]=>000000 [5,1,2,3,7,6,8,4]=>[5,1,2,8,3,7,6,4]=>[5,1,2,3,7,6,4]=>000000 [4,6,8,1,2,7,5,3]=>[8,1,5,4,7,6,2,3]=>[1,5,4,7,6,2,3]=>100000 [8,3,2,7,6,5,1,4]=>[5,3,6,1,7,8,2,4]=>[5,3,6,1,7,2,4]=>000000 [5,2,3,1,6,4,8,7]=>[3,5,2,6,1,4,8,7]=>[3,5,2,6,1,4,7]=>000001 [7,4,5,2,3,1,8,6]=>[3,5,2,7,4,8,1,6]=>[3,5,2,7,4,1,6]=>000000 [7,3,5,2,4,1,8,6]=>[4,5,7,2,3,8,1,6]=>[4,5,7,2,3,1,6]=>000000 [6,3,5,2,4,1,8,7]=>[4,5,6,2,3,1,8,7]=>[4,5,6,2,3,1,7]=>000001 [4,1,6,3,5,2,8,7]=>[4,5,6,1,3,2,8,7]=>[4,5,6,1,3,2,7]=>000001 [6,3,4,1,5,2,8,7]=>[4,5,6,3,1,2,8,7]=>[4,5,6,3,1,2,7]=>000001 [5,2,7,3,4,1,8,6]=>[4,5,7,3,2,8,1,6]=>[4,5,7,3,2,1,6]=>000000 [6,2,8,5,7,3,4,1]=>[4,6,7,3,8,2,5,1]=>[4,6,7,3,2,5,1]=>000000 [6,2,7,3,4,1,8,5]=>[4,6,7,3,8,2,1,5]=>[4,6,7,3,2,1,5]=>000000 [7,3,4,1,5,2,8,6]=>[4,5,7,3,1,8,2,6]=>[4,5,7,3,1,2,6]=>000000 [4,1,7,3,5,2,8,6]=>[4,5,7,1,3,8,2,6]=>[4,5,7,1,3,2,6]=>000000 [2,1,7,4,5,3,8,6]=>[2,1,5,7,4,8,3,6]=>[2,1,5,7,4,3,6]=>010000 [3,1,8,6,7,4,5,2]=>[3,5,1,7,4,8,6,2]=>[3,5,1,7,4,6,2]=>000000 [4,1,8,6,7,3,5,2]=>[4,5,7,1,3,8,6,2]=>[4,5,7,1,3,6,2]=>000000 [8,5,7,3,4,1,6,2]=>[4,6,7,3,8,1,5,2]=>[4,6,7,3,1,5,2]=>000000 [8,5,6,2,7,3,4,1]=>[4,6,7,3,8,5,2,1]=>[4,6,7,3,5,2,1]=>000000 [8,4,7,3,5,1,6,2]=>[5,6,7,8,3,1,4,2]=>[5,6,7,3,1,4,2]=>000000 [5,1,8,4,7,3,6,2]=>[5,6,7,8,1,3,4,2]=>[5,6,7,1,3,4,2]=>000000 [3,1,8,5,7,4,6,2]=>[3,6,1,7,8,4,5,2]=>[3,6,1,7,4,5,2]=>000000 [2,1,8,5,7,4,6,3]=>[2,1,6,7,8,4,5,3]=>[2,1,6,7,4,5,3]=>010000 [3,1,7,4,6,2,8,5]=>[3,6,1,7,8,4,2,5]=>[3,6,1,7,4,2,5]=>000000 [4,1,7,3,6,2,8,5]=>[4,6,7,1,8,3,2,5]=>[4,6,7,1,3,2,5]=>000000 [6,2,8,4,7,3,5,1]=>[5,6,7,8,3,2,4,1]=>[5,6,7,3,2,4,1]=>000000 [7,3,6,2,5,1,8,4]=>[5,6,7,8,2,3,1,4]=>[5,6,7,2,3,1,4]=>000000 [5,2,4,1,7,3,8,6]=>[4,5,7,2,1,8,3,6]=>[4,5,7,2,1,3,6]=>000000 [6,2,4,1,7,3,8,5]=>[4,6,7,2,8,1,3,5]=>[4,6,7,2,1,3,5]=>000000 [7,4,6,2,3,1,8,5]=>[3,6,2,7,8,4,1,5]=>[3,6,2,7,4,1,5]=>000000 [6,2,3,1,7,4,8,5]=>[3,6,2,7,8,1,4,5]=>[3,6,2,7,1,4,5]=>000000 [5,2,3,1,7,4,8,6]=>[3,5,2,7,1,8,4,6]=>[3,5,2,7,1,4,6]=>000000 [4,2,3,1,7,5,8,6]=>[3,4,2,1,7,8,5,6]=>[3,4,2,1,7,5,6]=>000100 [3,1,4,2,8,6,7,5]=>[3,4,1,2,7,8,6,5]=>[3,4,1,2,7,6,5]=>000100 [6,2,3,1,8,5,7,4]=>[3,6,2,7,8,1,5,4]=>[3,6,2,7,1,5,4]=>000000 [8,5,6,2,3,1,7,4]=>[3,6,2,7,8,5,1,4]=>[3,6,2,7,5,1,4]=>000000 [7,3,8,5,6,2,4,1]=>[4,6,7,2,8,5,3,1]=>[4,6,7,2,5,3,1]=>000000 [8,5,6,2,4,1,7,3]=>[4,6,7,2,8,5,1,3]=>[4,6,7,2,5,1,3]=>000000 [5,2,4,1,8,6,7,3]=>[4,5,7,2,1,8,6,3]=>[4,5,7,2,1,6,3]=>000000 [4,1,5,2,8,6,7,3]=>[4,5,7,1,2,8,6,3]=>[4,5,7,1,2,6,3]=>000000 [3,1,6,2,8,5,7,4]=>[3,6,1,7,8,2,5,4]=>[3,6,1,7,2,5,4]=>000000 [5,1,6,2,8,4,7,3]=>[5,6,7,8,1,2,4,3]=>[5,6,7,1,2,4,3]=>000000 [8,4,6,2,5,1,7,3]=>[5,6,7,8,2,4,1,3]=>[5,6,7,2,4,1,3]=>000000 [7,3,8,4,6,2,5,1]=>[5,6,7,8,2,4,3,1]=>[5,6,7,2,4,3,1]=>000000 [6,2,7,3,8,4,5,1]=>[5,6,7,8,4,2,3,1]=>[5,6,7,4,2,3,1]=>000000 [8,4,5,1,6,2,7,3]=>[5,6,7,8,4,3,1,2]=>[5,6,7,4,3,1,2]=>000000 [4,1,8,5,6,2,7,3]=>[4,6,7,1,8,5,2,3]=>[4,6,7,1,5,2,3]=>000000 [3,1,8,5,6,2,7,4]=>[3,6,1,7,8,5,2,4]=>[3,6,1,7,5,2,4]=>000000 [2,1,8,5,6,3,7,4]=>[2,1,6,7,8,5,3,4]=>[2,1,6,7,5,3,4]=>010000 [3,1,7,4,8,5,6,2]=>[3,6,1,7,8,5,4,2]=>[3,6,1,7,5,4,2]=>000000 [7,3,6,2,8,4,5,1]=>[5,6,7,8,4,1,3,2]=>[5,6,7,4,1,3,2]=>000000 [6,8,1,2,7,5,4,3]=>[8,1,4,5,7,6,2,3]=>[1,4,5,7,6,2,3]=>100000 [5,1,8,3,7,6,4,2]=>[5,4,6,7,1,8,3,2]=>[5,4,6,7,1,3,2]=>000000 [4,1,2,6,3,8,7,5]=>[4,1,6,2,7,3,8,5]=>[4,1,6,2,7,3,5]=>000000 [1,4,7,5,2,8,3,6]=>[1,5,7,4,8,3,6,2]=>[1,5,7,4,3,6,2]=>100000 [1,7,6,4,2,8,3,5]=>[1,4,6,7,3,8,2,5]=>[1,4,6,7,3,2,5]=>100000 [1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]=>[1,5,6,7,3,4,2]=>100000 [7,1,4,5,3,6,8,2]=>[7,8,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>000000 [6,3,5,7,2,1,4,8]=>[2,7,6,1,4,3,5,8]=>[2,7,6,1,4,3,5]=>000000 [6,3,5,8,2,1,7,4]=>[2,8,6,7,3,5,1,4]=>[2,6,7,3,5,1,4]=>000000 [5,4,8,6,3,1,7,2]=>[3,6,8,5,4,7,1,2]=>[3,6,5,4,7,1,2]=>000000 [6,3,5,8,2,1,4,7]=>[2,8,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>000001 [4,2,1,7,8,5,6,3]=>[2,4,6,1,8,5,7,3]=>[2,4,6,1,5,7,3]=>000000 [2,6,1,8,5,7,3,4]=>[6,2,7,3,8,1,5,4]=>[6,2,7,3,1,5,4]=>000000 [8,1,2,5,6,4,3,7]=>[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>100001 [3,1,2,6,4,8,7,5]=>[3,1,2,6,7,4,8,5]=>[3,1,2,6,7,4,5]=>001000 [1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]=>[1,2,3,7,6,5,4]=>111000 [1,4,2,7,6,8,3,5]=>[1,4,8,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>100100 [1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[1,2,3,6,5,7,4]=>111000 [1,2,3,8,7,5,6,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,5,4]=>111000 [8,6,3,7,2,1,5,4]=>[2,7,6,5,1,8,3,4]=>[2,7,6,5,1,3,4]=>000000 [3,6,4,8,2,5,1,7]=>[5,8,3,6,2,4,1,7]=>[5,3,6,2,4,1,7]=>000001 [8,4,3,2,1,6,5,7]=>[2,3,4,8,6,1,5,7]=>[2,3,4,6,1,5,7]=>000001 [8,4,3,2,1,7,5,6]=>[2,3,4,8,7,5,1,6]=>[2,3,4,7,5,1,6]=>000000 [7,5,4,2,8,6,1,3]=>[6,4,1,5,8,7,3,2]=>[6,4,1,5,7,3,2]=>000000 [8,4,3,2,1,6,7,5]=>[2,3,4,8,7,1,6,5]=>[2,3,4,7,1,6,5]=>000000 [8,4,3,2,1,5,7,6]=>[2,3,4,8,1,7,5,6]=>[2,3,4,1,7,5,6]=>000100 [4,5,2,3,7,1,6,8]=>[7,5,2,4,3,1,6,8]=>[7,5,2,4,3,1,6]=>000000 [5,2,1,4,3,7,8,6]=>[2,5,4,1,3,8,7,6]=>[2,5,4,1,3,7,6]=>000010 [7,3,1,4,6,8,2,5]=>[3,7,8,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>000000 [3,4,6,8,2,7,1,5]=>[7,8,3,4,1,6,2,5]=>[7,3,4,1,6,2,5]=>000000 [3,5,6,1,7,4,8,2]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>000000 [8,2,4,3,7,1,6,5]=>[7,8,4,2,6,1,3,5]=>[7,4,2,6,1,3,5]=>000000 [5,8,2,4,3,7,1,6]=>[7,8,4,2,5,1,3,6]=>[7,4,2,5,1,3,6]=>000000 [4,2,5,6,1,8,3,7]=>[6,4,8,2,5,1,3,7]=>[6,4,2,5,1,3,7]=>000001 [4,2,5,6,1,7,3,8]=>[6,4,7,2,5,1,3,8]=>[6,4,7,2,5,1,3]=>000000 [6,1,5,7,3,2,4,8]=>[6,3,7,2,1,5,4,8]=>[6,3,7,2,1,5,4]=>000000 [6,1,5,8,3,2,4,7]=>[6,3,8,2,1,5,4,7]=>[6,3,2,1,5,4,7]=>000001 [3,8,2,4,7,1,5,6]=>[7,8,3,2,1,4,6,5]=>[7,3,2,1,4,6,5]=>000000 [3,6,8,2,4,7,1,5]=>[7,8,3,2,1,6,4,5]=>[7,3,2,1,6,4,5]=>000000 [7,3,2,4,6,1,5,8]=>[6,3,7,2,1,4,5,8]=>[6,3,7,2,1,4,5]=>000000 [3,2,5,1,8,4,6,7]=>[5,3,2,8,1,4,6,7]=>[5,3,2,1,4,6,7]=>000011 [7,8,3,2,4,6,1,5]=>[6,3,8,2,1,4,7,5]=>[6,3,2,1,4,7,5]=>000000 [6,1,5,7,8,3,2,4]=>[6,3,8,2,1,5,7,4]=>[6,3,2,1,5,7,4]=>000000 [4,2,5,6,1,7,8,3]=>[6,4,8,2,5,1,7,3]=>[6,4,2,5,1,7,3]=>000000 [6,1,5,8,7,3,2,4]=>[6,3,7,2,1,5,8,4]=>[6,3,7,2,1,5,4]=>000000 [8,7,3,2,4,6,1,5]=>[6,3,7,2,1,4,8,5]=>[6,3,7,2,1,4,5]=>000000 [3,2,5,1,8,7,4,6]=>[5,3,2,7,1,4,8,6]=>[5,3,2,7,1,4,6]=>000000 [3,2,5,1,6,4,7,8]=>[5,3,2,6,1,4,7,8]=>[5,3,2,6,1,4,7]=>000001 [3,2,4,1,8,7,5,6]=>[4,3,2,1,7,5,8,6]=>[4,3,2,1,7,5,6]=>000100 [3,2,5,1,6,8,7,4]=>[5,3,2,7,1,6,8,4]=>[5,3,2,7,1,6,4]=>000000 [3,8,6,5,1,7,4,2]=>[5,4,3,6,8,7,1,2]=>[5,4,3,6,7,1,2]=>000000 [3,7,6,5,1,8,4,2]=>[5,4,3,6,7,8,1,2]=>[5,4,3,6,7,1,2]=>000000 [3,2,5,1,6,7,8,4]=>[5,3,2,8,1,6,7,4]=>[5,3,2,1,6,7,4]=>000000 [3,2,4,1,7,5,6,8]=>[4,3,2,1,7,5,6,8]=>[4,3,2,1,7,5,6]=>000100 [3,2,4,1,6,8,5,7]=>[4,3,2,1,8,6,5,7]=>[4,3,2,1,6,5,7]=>000101 [8,3,2,4,7,6,1,5]=>[6,3,7,2,1,8,5,4]=>[6,3,7,2,1,5,4]=>000000 [3,2,5,1,8,4,7,6]=>[5,3,2,8,1,7,4,6]=>[5,3,2,1,7,4,6]=>000000 [3,2,5,1,6,7,4,8]=>[5,3,2,7,1,6,4,8]=>[5,3,2,7,1,6,4]=>000000 [8,4,2,3,7,5,1,6]=>[5,4,2,7,8,1,6,3]=>[5,4,2,7,1,6,3]=>000000 [5,2,6,1,8,3,7,4]=>[6,5,8,7,2,1,3,4]=>[6,5,7,2,1,3,4]=>000000 [5,2,6,1,8,4,7,3]=>[6,5,7,8,2,1,4,3]=>[6,5,7,2,1,4,3]=>000000 [7,4,2,3,8,5,1,6]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>000000 [3,2,5,1,7,6,4,8]=>[5,3,2,6,1,7,4,8]=>[5,3,2,6,1,7,4]=>000000 [3,2,5,1,8,6,4,7]=>[5,3,2,6,1,8,4,7]=>[5,3,2,6,1,4,7]=>000001 [8,6,1,5,7,3,2,4]=>[6,3,8,2,1,7,4,5]=>[6,3,2,1,7,4,5]=>000000 [8,5,6,1,7,3,4,2]=>[6,4,7,3,8,5,1,2]=>[6,4,7,3,5,1,2]=>000000 [8,5,1,6,7,4,2,3]=>[5,4,2,8,7,1,3,6]=>[5,4,2,7,1,3,6]=>000000 [3,2,5,1,8,6,7,4]=>[5,3,2,7,1,8,6,4]=>[5,3,2,7,1,6,4]=>000000 [3,2,4,1,5,8,6,7]=>[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,6,7]=>000111 [3,2,5,1,7,8,6,4]=>[5,3,2,6,1,8,7,4]=>[5,3,2,6,1,7,4]=>000000 [3,2,5,1,8,7,6,4]=>[5,3,2,6,1,7,8,4]=>[5,3,2,6,1,7,4]=>000000 [2,4,1,7,5,8,6,3]=>[4,2,6,1,8,7,3,5]=>[4,2,6,1,7,3,5]=>000000 [2,6,4,1,8,5,3,7]=>[4,2,6,5,8,3,1,7]=>[4,2,6,5,3,1,7]=>000001 [3,2,5,6,1,8,4,7]=>[6,3,2,8,5,1,4,7]=>[6,3,2,5,1,4,7]=>000001 [4,3,2,6,7,1,5,8]=>[7,3,4,2,1,6,5,8]=>[7,3,4,2,1,6,5]=>000000 [3,2,5,7,1,6,8,4]=>[7,3,2,8,5,1,6,4]=>[7,3,2,5,1,6,4]=>000000 [6,4,5,1,3,2,8,7]=>[5,3,1,6,4,2,8,7]=>[5,3,1,6,4,2,7]=>000001 [8,2,7,1,4,3,6,5]=>[7,8,4,1,6,2,5,3]=>[7,4,1,6,2,5,3]=>000000 [8,2,7,3,4,1,6,5]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>000000 [8,4,7,2,3,1,6,5]=>[3,7,2,8,6,1,4,5]=>[3,7,2,6,1,4,5]=>000000 [2,6,1,8,4,5,7,3]=>[6,2,7,8,4,1,5,3]=>[6,2,7,4,1,5,3]=>000000 [2,8,4,6,1,5,7,3]=>[6,2,7,8,1,4,5,3]=>[6,2,7,1,4,5,3]=>000000 [6,3,1,8,4,5,7,2]=>[3,6,7,8,4,2,5,1]=>[3,6,7,4,2,5,1]=>000000 [4,3,1,2,8,5,6,7]=>[3,1,4,2,8,5,6,7]=>[3,1,4,2,5,6,7]=>000111 [1,7,5,8,3,4,6,2]=>[1,6,8,3,7,4,5,2]=>[1,6,3,7,4,5,2]=>100000 [2,7,3,8,4,6,5,1]=>[5,2,6,7,8,4,3,1]=>[5,2,6,7,4,3,1]=>000000 [1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[1,3,4,2,5,6,7]=>100111 [4,2,3,1,8,5,6,7]=>[3,4,2,1,8,5,6,7]=>[3,4,2,1,5,6,7]=>000111 [1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[1,2,5,4,7,3,6]=>110000 [1,4,2,7,8,5,3,6]=>[1,4,5,2,8,3,7,6]=>[1,4,5,2,3,7,6]=>100010 [3,7,4,8,1,6,2,5]=>[8,6,3,7,2,1,4,5]=>[6,3,7,2,1,4,5]=>000000 [4,8,3,5,1,6,2,7]=>[5,6,8,4,3,1,2,7]=>[5,6,4,3,1,2,7]=>000001 [4,6,2,5,1,8,3,7]=>[5,6,8,4,2,1,3,7]=>[5,6,4,2,1,3,7]=>000001 [4,5,1,8,3,7,2,6]=>[5,7,8,4,1,2,3,6]=>[5,7,4,1,2,3,6]=>000000 [4,5,1,8,3,6,2,7]=>[5,6,8,4,1,3,2,7]=>[5,6,4,1,3,2,7]=>000001 [6,8,2,4,5,7,3,1]=>[3,7,8,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>000000 [3,6,1,4,5,2,8,7]=>[6,5,3,1,4,2,8,7]=>[6,5,3,1,4,2,7]=>000001 [6,3,8,4,5,7,2,1]=>[2,7,6,8,4,3,5,1]=>[2,7,6,4,3,5,1]=>000000 [6,1,8,4,5,7,2,3]=>[6,7,2,8,4,1,5,3]=>[6,7,2,4,1,5,3]=>000000 [8,4,3,7,6,1,5,2]=>[6,5,4,7,1,8,2,3]=>[6,5,4,7,1,2,3]=>000000 [6,7,1,3,5,8,4,2]=>[7,4,1,8,2,6,3,5]=>[7,4,1,2,6,3,5]=>000000 [6,7,1,8,2,5,4,3]=>[7,8,4,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>000000 [3,5,6,1,8,2,7,4]=>[6,8,3,7,5,1,2,4]=>[6,3,7,5,1,2,4]=>000000 [2,6,3,1,4,8,7,5]=>[3,2,6,1,7,4,8,5]=>[3,2,6,1,7,4,5]=>000000 [2,4,1,6,8,5,7,3]=>[4,2,7,1,8,6,5,3]=>[4,2,7,1,6,5,3]=>000000 [2,4,3,1,6,8,5,7]=>[3,2,4,1,8,6,5,7]=>[3,2,4,1,6,5,7]=>000101 [2,4,1,3,6,8,7,5]=>[4,2,1,3,7,6,8,5]=>[4,2,1,3,7,6,5]=>000100 [2,4,1,6,3,8,7,5]=>[4,2,6,1,7,3,8,5]=>[4,2,6,1,7,3,5]=>000000 [2,4,1,6,8,3,7,5]=>[4,2,8,1,7,6,3,5]=>[4,2,1,7,6,3,5]=>000000 [2,1,6,4,8,7,3,5]=>[2,1,7,6,3,4,8,5]=>[2,1,7,6,3,4,5]=>010000 [1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[1,3,5,2,4,6,7]=>100011 [3,8,2,1,4,7,5,6]=>[2,8,3,1,7,5,4,6]=>[2,3,1,7,5,4,6]=>001000 [4,3,7,6,8,1,2,5]=>[8,1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>100100 [4,2,6,7,1,3,8,5]=>[7,4,1,2,8,6,3,5]=>[7,4,1,2,6,3,5]=>000000 [4,7,3,8,5,1,2,6]=>[5,1,8,4,7,2,6,3]=>[5,1,4,7,2,6,3]=>000000 [4,2,6,8,1,7,3,5]=>[8,4,7,2,3,6,1,5]=>[4,7,2,3,6,1,5]=>000000 [4,3,6,1,8,2,7,5]=>[6,8,4,3,7,1,2,5]=>[6,4,3,7,1,2,5]=>000000 [6,8,1,7,4,3,2,5]=>[8,3,4,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>000000 [5,1,8,7,4,3,2,6]=>[5,3,4,7,1,2,8,6]=>[5,3,4,7,1,2,6]=>000000 [7,5,8,1,4,3,2,6]=>[8,3,4,1,7,2,5,6]=>[3,4,1,7,2,5,6]=>000000 [4,6,7,2,5,8,1,3]=>[8,7,1,4,3,6,2,5]=>[7,1,4,3,6,2,5]=>000000 [6,8,4,3,2,1,5,7]=>[2,3,4,8,1,6,5,7]=>[2,3,4,1,6,5,7]=>000101 [7,3,2,8,5,1,6,4]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>000000 [5,4,7,2,1,8,6,3]=>[2,7,6,5,4,8,1,3]=>[2,7,6,5,4,1,3]=>000000 [2,4,1,7,8,3,6,5]=>[4,2,8,1,6,3,7,5]=>[4,2,1,6,3,7,5]=>000000 [2,3,6,5,1,4,8,7]=>[5,2,3,1,6,4,8,7]=>[5,2,3,1,6,4,7]=>000001 [2,1,4,5,8,7,3,6]=>[2,1,7,4,5,3,8,6]=>[2,1,7,4,5,3,6]=>010000 [5,7,1,6,3,8,2,4]=>[7,8,6,2,5,1,3,4]=>[7,6,2,5,1,3,4]=>000000 [6,4,1,5,8,3,2,7]=>[4,3,6,8,1,2,5,7]=>[4,3,6,1,2,5,7]=>000001 [6,1,4,2,8,5,7,3]=>[6,4,7,1,8,2,5,3]=>[6,4,7,1,2,5,3]=>000000 [8,6,5,1,2,4,7,3]=>[5,1,6,2,8,7,4,3]=>[5,1,6,2,7,4,3]=>000000 [8,1,2,5,6,3,7,4]=>[8,1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>100000 [7,2,6,5,4,1,8,3]=>[4,5,6,7,8,1,3,2]=>[4,5,6,7,1,3,2]=>000000 [8,1,6,5,7,3,2,4]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>000000 [2,7,4,1,5,6,8,3]=>[4,2,7,8,1,3,6,5]=>[4,2,7,1,3,6,5]=>000000 [4,8,7,3,2,6,1,5]=>[6,3,7,4,1,2,8,5]=>[6,3,7,4,1,2,5]=>000000 [4,8,7,3,2,6,5,1]=>[5,3,6,4,7,1,8,2]=>[5,3,6,4,7,1,2]=>000000 [7,3,5,2,6,1,4,8]=>[6,5,7,1,4,3,2,8]=>[6,5,7,1,4,3,2]=>000000 [1,4,5,7,3,2,8,6]=>[1,3,7,4,5,8,2,6]=>[1,3,7,4,5,2,6]=>100000 [5,4,6,7,1,8,3,2]=>[7,3,8,5,4,6,1,2]=>[7,3,5,4,6,1,2]=>000000 [5,4,6,7,2,8,3,1]=>[3,8,7,5,4,6,1,2]=>[3,7,5,4,6,1,2]=>000000 [4,3,6,2,7,8,5,1]=>[5,8,4,3,6,1,7,2]=>[5,4,3,6,1,7,2]=>000000 [7,8,1,4,5,3,6,2]=>[8,6,5,1,2,4,7,3]=>[6,5,1,2,4,7,3]=>000000 [7,2,8,3,6,5,1,4]=>[5,6,7,1,8,4,3,2]=>[5,6,7,1,4,3,2]=>000000 [1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[1,2,5,3,7,4,6]=>110000 [4,8,2,3,7,1,6,5]=>[7,8,2,4,6,1,3,5]=>[7,2,4,6,1,3,5]=>000000 [6,3,8,1,5,2,4,7]=>[8,5,6,2,1,3,4,7]=>[5,6,2,1,3,4,7]=>000001 [5,3,6,2,4,7,1,8]=>[7,6,5,2,3,4,1,8]=>[7,6,5,2,3,4,1]=>000000 [2,7,6,5,3,1,4,8]=>[3,2,5,1,6,7,4,8]=>[3,2,5,1,6,7,4]=>000000 [4,7,6,5,1,8,3,2]=>[5,3,6,4,7,8,1,2]=>[5,3,6,4,7,1,2]=>000000 [1,7,6,5,3,2,8,4]=>[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,2,4]=>100000 [1,7,6,5,8,2,4,3]=>[1,8,4,2,6,7,5,3]=>[1,4,2,6,7,5,3]=>100000 [3,7,5,8,2,4,1,6]=>[4,8,3,2,7,1,5,6]=>[4,3,2,7,1,5,6]=>000000 [5,1,8,4,7,2,3,6]=>[5,7,2,8,1,3,4,6]=>[5,7,2,1,3,4,6]=>000000 [7,1,2,3,6,8,5,4]=>[7,1,2,5,8,3,6,4]=>[7,1,2,5,3,6,4]=>000000 [7,1,2,3,5,6,8,4]=>[7,1,2,8,3,4,5,6]=>[7,1,2,3,4,5,6]=>000000 [1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]=>[1,2,7,5,3,4,6]=>110000 [6,8,5,1,2,4,7,3]=>[5,1,8,2,7,6,3,4]=>[5,1,2,7,6,3,4]=>000000 [8,1,2,6,7,5,3,4]=>[8,1,5,3,7,2,6,4]=>[1,5,3,7,2,6,4]=>100000 [8,5,7,4,2,6,1,3]=>[6,4,1,7,8,2,5,3]=>[6,4,1,7,2,5,3]=>000000 [8,5,2,4,7,1,6,3]=>[7,5,8,2,6,1,3,4]=>[7,5,2,6,1,3,4]=>000000 [8,5,4,7,1,2,6,3]=>[7,1,6,5,8,2,4,3]=>[7,1,6,5,2,4,3]=>000000 [8,3,4,7,2,6,1,5]=>[6,7,8,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>000000 [8,6,3,1,7,2,4,5]=>[3,6,8,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>000000 [6,1,2,4,8,7,5,3]=>[6,1,5,2,7,4,8,3]=>[6,1,5,2,7,4,3]=>000000 [7,1,2,4,6,8,5,3]=>[7,1,5,2,8,3,4,6]=>[7,1,5,2,3,4,6]=>000000 [7,1,2,6,8,5,3,4]=>[7,1,5,3,8,2,6,4]=>[7,1,5,3,2,6,4]=>000000 [1,2,3,5,8,6,4,7]=>[1,2,3,6,5,8,4,7]=>[1,2,3,6,5,4,7]=>111001 [5,4,8,3,2,7,6,1]=>[6,3,7,5,4,8,1,2]=>[6,3,7,5,4,1,2]=>000000 [7,8,4,3,6,5,2,1]=>[2,5,4,6,8,1,7,3]=>[2,5,4,6,1,7,3]=>000000 [1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[1,6,4,2,3,7,5]=>100000 [1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[1,7,4,2,6,3,5]=>100000 [1,6,8,4,2,3,7,5]=>[1,4,2,8,7,6,3,5]=>[1,4,2,7,6,3,5]=>100000 [3,7,5,6,1,4,8,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>000000 [1,3,6,4,2,8,5,7]=>[1,4,3,6,8,2,5,7]=>[1,4,3,6,2,5,7]=>100001 [6,1,8,3,7,2,5,4]=>[6,7,8,5,2,1,3,4]=>[6,7,5,2,1,3,4]=>000000 [6,8,7,5,3,2,1,4]=>[2,3,5,1,7,6,8,4]=>[2,3,5,1,7,6,4]=>000000 [1,6,2,7,5,8,3,4]=>[1,6,8,3,7,2,5,4]=>[1,6,3,7,2,5,4]=>100000 [6,4,8,5,2,7,1,3]=>[7,5,1,8,6,2,4,3]=>[7,5,1,6,2,4,3]=>000000 [7,1,8,2,5,4,3,6]=>[7,8,4,5,2,3,1,6]=>[7,4,5,2,3,1,6]=>000000 [2,6,3,5,8,7,1,4]=>[7,2,6,1,4,3,8,5]=>[7,2,6,1,4,3,5]=>000000 [3,6,8,7,5,2,1,4]=>[2,5,3,1,7,6,8,4]=>[2,5,3,1,7,6,4]=>000000 [6,4,8,7,1,3,2,5]=>[7,3,1,6,2,4,8,5]=>[7,3,1,6,2,4,5]=>000000 [2,8,3,7,1,5,6,4]=>[7,2,8,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>000000 [2,1,8,3,5,6,7,4]=>[2,1,8,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>010000 [6,3,4,8,5,1,7,2]=>[5,8,7,3,6,1,2,4]=>[5,7,3,6,1,2,4]=>000000 [7,4,1,5,3,8,6,2]=>[4,7,6,5,2,8,1,3]=>[4,7,6,5,2,1,3]=>000000 [8,1,7,2,5,4,6,3]=>[8,7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>000000 [7,4,1,5,3,6,2,8]=>[4,7,6,5,2,1,3,8]=>[4,7,6,5,2,1,3]=>000000 [8,6,2,7,3,1,5,4]=>[3,7,6,5,1,8,4,2]=>[3,7,6,5,1,4,2]=>000000 [8,7,4,1,2,3,6,5]=>[4,1,2,7,6,3,8,5]=>[4,1,2,7,6,3,5]=>000000 [8,4,3,1,7,2,6,5]=>[3,4,8,7,6,2,1,5]=>[3,4,7,6,2,1,5]=>000000 [8,7,3,1,6,2,4,5]=>[3,7,6,2,4,5,8,1]=>[3,7,6,2,4,5,1]=>000000 [8,7,3,1,2,4,6,5]=>[3,1,7,2,6,4,8,5]=>[3,1,7,2,6,4,5]=>000000 [6,8,3,1,5,2,7,4]=>[3,8,5,7,2,6,1,4]=>[3,5,7,2,6,1,4]=>000000 [5,8,6,4,1,7,2,3]=>[4,6,2,8,5,7,1,3]=>[4,6,2,5,7,1,3]=>000000 [6,5,8,4,1,2,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>000000 [5,3,8,1,7,6,2,4]=>[8,6,5,2,3,7,1,4]=>[6,5,2,3,7,1,4]=>000000 [2,5,3,1,8,6,4,7]=>[3,2,5,6,1,8,4,7]=>[3,2,5,6,1,4,7]=>000001 [1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[1,2,3,6,7,5,4]=>111000 [1,2,7,6,3,8,4,5]=>[1,2,6,7,4,8,5,3]=>[1,2,6,7,4,5,3]=>110000 [1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,5,4]=>111000 [2,1,3,8,5,4,7,6]=>[2,1,3,5,8,7,4,6]=>[2,1,3,5,7,4,6]=>011000 [3,4,8,6,1,5,7,2]=>[6,8,3,4,1,7,2,5]=>[6,3,4,1,7,2,5]=>000000 [3,2,5,7,6,1,4,8]=>[6,3,2,1,5,7,4,8]=>[6,3,2,1,5,7,4]=>000000 [4,8,6,7,1,3,2,5]=>[7,3,1,4,2,8,6,5]=>[7,3,1,4,2,6,5]=>000000 [3,8,4,7,2,5,1,6]=>[5,7,3,8,2,1,4,6]=>[5,7,3,2,1,4,6]=>000000 [5,8,6,7,4,2,1,3]=>[2,4,1,7,5,8,6,3]=>[2,4,1,7,5,6,3]=>000000 [1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]=>[1,2,5,3,7,6,4]=>110000 [7,8,3,6,4,2,1,5]=>[2,4,6,8,1,5,7,3]=>[2,4,6,1,5,7,3]=>000000 [5,6,1,4,2,3,7,8]=>[6,4,2,1,5,3,7,8]=>[6,4,2,1,5,3,7]=>000001 [5,1,6,3,4,2,7,8]=>[5,4,6,3,1,2,7,8]=>[5,4,6,3,1,2,7]=>000001 [4,3,8,1,6,2,5,7]=>[8,6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>000001 [3,4,8,1,6,2,5,7]=>[8,6,3,4,2,1,5,7]=>[6,3,4,2,1,5,7]=>000001 [3,4,2,1,8,6,5,7]=>[2,4,3,1,6,8,5,7]=>[2,4,3,1,6,5,7]=>000101 [4,1,2,8,3,6,5,7]=>[4,1,8,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>000001 [4,2,8,6,3,1,5,7]=>[3,6,4,1,2,8,5,7]=>[3,6,4,1,2,5,7]=>000001 [1,7,3,8,4,6,5,2]=>[1,5,6,7,8,4,3,2]=>[1,5,6,7,4,3,2]=>100000 [3,2,4,8,1,6,5,7]=>[8,3,2,4,6,1,5,7]=>[3,2,4,6,1,5,7]=>000001 [7,3,8,2,6,4,5,1]=>[5,8,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>000000 [2,5,1,6,8,3,7,4]=>[5,2,8,7,1,6,3,4]=>[5,2,7,1,6,3,4]=>000000 [5,1,2,6,8,3,7,4]=>[5,1,8,7,2,6,3,4]=>[5,1,7,2,6,3,4]=>000000 [5,7,8,6,4,1,2,3]=>[4,1,2,6,5,8,7,3]=>[4,1,2,6,5,7,3]=>000000 [3,5,6,2,1,8,4,7]=>[2,6,3,8,5,1,4,7]=>[2,6,3,5,1,4,7]=>000001 [2,5,6,3,1,7,8,4]=>[3,2,6,8,5,1,7,4]=>[3,2,6,5,1,7,4]=>000000 [7,3,8,4,2,1,5,6]=>[2,4,8,7,1,3,5,6]=>[2,4,7,1,3,5,6]=>000000 [4,5,2,1,3,8,7,6]=>[2,5,1,4,3,7,8,6]=>[2,5,1,4,3,7,6]=>000010 [2,4,8,6,7,1,3,5]=>[7,2,1,4,3,8,6,5]=>[7,2,1,4,3,6,5]=>000000 [3,5,2,7,6,1,8,4]=>[6,5,3,7,2,8,4,1]=>[6,5,3,7,2,4,1]=>000000 [3,8,4,1,5,6,7,2]=>[4,8,3,7,1,2,6,5]=>[4,3,7,1,2,6,5]=>000000 [8,3,2,4,6,5,1,7]=>[5,3,6,2,8,1,4,7]=>[5,3,6,2,1,4,7]=>000001 [3,5,7,2,6,1,8,4]=>[6,7,3,8,5,2,1,4]=>[6,7,3,5,2,1,4]=>000000 [4,1,8,5,2,6,7,3]=>[4,5,8,1,7,2,3,6]=>[4,5,1,7,2,3,6]=>000000 [1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[1,2,7,3,6,5,4]=>110000 [1,3,6,4,2,8,7,5]=>[1,4,3,6,7,2,8,5]=>[1,4,3,6,7,2,5]=>100000 [1,3,7,4,2,8,6,5]=>[1,4,3,7,6,8,2,5]=>[1,4,3,7,6,2,5]=>100000 [1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[1,2,7,6,5,3,4]=>110000 [1,2,7,8,6,3,5,4]=>[1,2,6,5,3,8,7,4]=>[1,2,6,5,3,7,4]=>110000 [1,2,6,8,7,5,3,4]=>[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,6,4]=>110000 [2,6,1,7,5,8,3,4]=>[6,2,8,3,7,1,5,4]=>[6,2,3,7,1,5,4]=>000000 [2,6,1,4,7,8,5,3]=>[6,2,5,1,8,4,7,3]=>[6,2,5,1,4,7,3]=>000000 [5,1,2,4,8,7,6,3]=>[5,1,6,2,4,7,8,3]=>[5,1,6,2,4,7,3]=>000000 [5,1,2,4,8,6,3,7]=>[5,1,6,2,4,8,3,7]=>[5,1,6,2,4,3,7]=>000001 [5,8,2,6,4,7,1,3]=>[7,8,1,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>000000 [5,8,1,3,2,6,4,7]=>[8,3,1,6,5,2,4,7]=>[3,1,6,5,2,4,7]=>000001 [4,7,3,6,5,8,1,2]=>[8,1,7,4,6,3,5,2]=>[1,7,4,6,3,5,2]=>100000 [6,7,4,3,5,1,8,2]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>000000 [5,3,4,7,8,2,1,6]=>[2,8,5,3,4,1,7,6]=>[2,5,3,4,1,7,6]=>000010 [4,8,3,5,6,7,2,1]=>[2,7,8,4,3,5,6,1]=>[2,7,4,3,5,6,1]=>000000 [4,8,3,7,2,5,6,1]=>[6,7,8,4,2,3,1,5]=>[6,7,4,2,3,1,5]=>000000 [6,4,3,5,7,1,8,2]=>[7,8,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>000000 [5,3,4,6,8,2,1,7]=>[2,8,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>000001 [5,3,6,7,1,8,2,4]=>[7,8,5,2,3,6,1,4]=>[7,5,2,3,6,1,4]=>000000 [5,3,4,6,7,1,8,2]=>[7,8,5,3,4,6,1,2]=>[7,5,3,4,6,1,2]=>000000 [7,8,3,1,2,4,6,5]=>[3,1,8,2,6,4,7,5]=>[3,1,2,6,4,7,5]=>001000 [7,3,8,1,2,4,6,5]=>[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>100000 [8,3,7,5,1,2,4,6]=>[5,1,7,2,8,3,4,6]=>[5,1,7,2,3,4,6]=>000000 [6,1,2,3,8,7,5,4]=>[6,1,2,5,7,3,8,4]=>[6,1,2,5,7,3,4]=>000000 [1,2,6,8,5,4,7,3]=>[1,2,7,5,8,6,4,3]=>[1,2,7,5,6,4,3]=>110000 [3,1,6,7,5,8,4,2]=>[3,4,1,8,7,6,5,2]=>[3,4,1,7,6,5,2]=>000000 [6,2,3,1,8,4,7,5]=>[3,6,2,8,7,1,4,5]=>[3,6,2,7,1,4,5]=>000000 [2,8,7,3,4,5,6,1]=>[6,2,7,3,4,5,8,1]=>[6,2,7,3,4,5,1]=>000000 [7,8,3,6,2,4,5,1]=>[5,6,8,2,3,1,7,4]=>[5,6,2,3,1,7,4]=>000000 [1,7,3,6,5,2,8,4]=>[1,5,6,7,8,2,4,3]=>[1,5,6,7,2,4,3]=>100000 [7,1,3,6,2,8,5,4]=>[7,6,1,5,8,3,2,4]=>[7,6,1,5,3,2,4]=>000000 [8,1,3,6,2,7,5,4]=>[8,6,1,5,7,3,2,4]=>[6,1,5,7,3,2,4]=>000000 [8,4,6,7,1,5,3,2]=>[7,3,5,8,1,4,6,2]=>[7,3,5,1,4,6,2]=>000000 [7,2,1,6,3,8,5,4]=>[2,7,6,5,8,1,3,4]=>[2,7,6,5,1,3,4]=>000000 [1,8,5,4,2,6,7,3]=>[1,4,5,8,7,2,6,3]=>[1,4,5,7,2,6,3]=>100000 [7,2,8,6,3,1,4,5]=>[3,6,8,1,2,7,5,4]=>[3,6,1,2,7,5,4]=>000000 [5,3,1,4,2,7,8,6]=>[3,5,4,2,1,8,7,6]=>[3,5,4,2,1,7,6]=>000010 [5,3,1,2,4,7,8,6]=>[3,1,5,2,4,8,7,6]=>[3,1,5,2,4,7,6]=>000010 [7,1,5,2,6,8,3,4]=>[7,5,8,3,1,2,6,4]=>[7,5,3,1,2,6,4]=>000000 [4,2,1,8,3,6,7,5]=>[2,4,8,1,7,3,6,5]=>[2,4,1,7,3,6,5]=>000000 [4,1,2,7,8,3,6,5]=>[4,1,8,2,6,3,7,5]=>[4,1,2,6,3,7,5]=>000000 [1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[1,2,4,7,5,3,6]=>110000 [7,2,3,8,5,1,4,6]=>[5,8,2,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>000000 [7,2,3,8,4,1,5,6]=>[4,8,2,7,1,3,5,6]=>[4,2,7,1,3,5,6]=>000000 [7,6,5,1,2,4,8,3]=>[5,1,6,2,7,8,4,3]=>[5,1,6,2,7,4,3]=>000000 [7,6,5,1,2,8,3,4]=>[5,1,6,3,7,8,2,4]=>[5,1,6,3,7,2,4]=>000000 [7,6,5,1,8,3,2,4]=>[5,3,6,2,7,8,1,4]=>[5,3,6,2,7,1,4]=>000000 [7,6,5,1,4,8,2,3]=>[5,6,2,1,7,8,4,3]=>[5,6,2,1,7,4,3]=>000000 [2,5,6,4,1,7,8,3]=>[4,2,6,8,5,3,7,1]=>[4,2,6,5,3,7,1]=>000000 [7,6,5,1,4,8,3,2]=>[5,3,6,1,7,8,4,2]=>[5,3,6,1,7,4,2]=>000000 [7,6,5,1,8,3,4,2]=>[5,4,6,3,7,8,1,2]=>[5,4,6,3,7,1,2]=>000000 [3,8,1,5,2,7,6,4]=>[8,5,3,6,1,7,2,4]=>[5,3,6,1,7,2,4]=>000000 [8,2,1,5,3,7,6,4]=>[2,8,5,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>000000 [8,1,6,5,3,7,2,4]=>[8,7,5,2,6,1,3,4]=>[7,5,2,6,1,3,4]=>000000 [8,2,7,5,6,1,3,4]=>[6,8,1,2,7,5,4,3]=>[6,1,2,7,5,4,3]=>000000 [7,6,4,2,1,5,8,3]=>[2,4,6,7,1,8,5,3]=>[2,4,6,7,1,5,3]=>000000 [7,5,4,1,2,6,8,3]=>[4,1,5,7,8,2,6,3]=>[4,1,5,7,2,6,3]=>000000 [1,8,2,5,3,7,6,4]=>[1,8,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>100000 [8,6,1,5,4,7,2,3]=>[6,8,2,5,1,7,3,4]=>[6,2,5,1,7,3,4]=>000000 [3,6,8,4,5,7,2,1]=>[2,7,3,8,4,6,5,1]=>[2,7,3,4,6,5,1]=>000000 [3,8,1,5,4,6,7,2]=>[8,7,3,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>000000 [3,4,1,2,6,8,7,5]=>[4,1,3,2,7,6,8,5]=>[4,1,3,2,7,6,5]=>000100 [7,8,1,4,5,3,2,6]=>[8,3,5,1,4,2,7,6]=>[3,5,1,4,2,7,6]=>000010 [6,7,3,1,4,5,8,2]=>[3,7,8,1,2,6,5,4]=>[3,7,1,2,6,5,4]=>000000 [7,3,8,1,4,5,2,6]=>[8,5,7,1,3,2,6,4]=>[5,7,1,3,2,6,4]=>000000 [3,7,1,6,8,5,2,4]=>[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>000000 [2,3,1,8,6,4,7,5]=>[3,2,1,6,8,7,5,4]=>[3,2,1,6,7,5,4]=>001000 [2,3,1,8,6,4,5,7]=>[3,2,1,6,4,8,5,7]=>[3,2,1,6,4,5,7]=>001001 [1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[1,5,2,4,3,6,7]=>100011 [3,4,8,7,5,2,6,1]=>[6,5,3,4,7,2,8,1]=>[6,5,3,4,7,2,1]=>000000 [3,2,8,6,1,5,4,7]=>[6,3,2,5,1,8,4,7]=>[6,3,2,5,1,4,7]=>000001 [3,8,7,2,5,4,6,1]=>[6,7,3,5,2,4,8,1]=>[6,7,3,5,2,4,1]=>000000 [5,3,6,2,4,8,7,1]=>[7,6,5,2,3,4,8,1]=>[7,6,5,2,3,4,1]=>000000 [3,5,2,8,6,1,4,7]=>[6,5,3,1,2,8,4,7]=>[6,5,3,1,2,4,7]=>000001 [3,7,2,5,1,4,8,6]=>[5,7,3,1,2,8,4,6]=>[5,7,3,1,2,4,6]=>000000 [5,1,8,6,2,3,4,7]=>[5,6,2,3,1,8,4,7]=>[5,6,2,3,1,4,7]=>000001 [8,2,3,6,1,4,7,5]=>[6,8,2,1,7,3,4,5]=>[6,2,1,7,3,4,5]=>000000 [1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[1,6,3,7,2,4,5]=>100000 [7,5,4,1,3,8,2,6]=>[4,5,1,7,8,3,6,2]=>[4,5,1,7,3,6,2]=>000000 [7,3,8,5,4,1,2,6]=>[4,1,5,8,7,2,3,6]=>[4,1,5,7,2,3,6]=>000000 [7,2,3,6,1,4,8,5]=>[6,7,2,1,8,3,4,5]=>[6,7,2,1,3,4,5]=>000000 [2,6,3,7,1,4,8,5]=>[7,2,6,1,8,3,4,5]=>[7,2,6,1,3,4,5]=>000000 [2,6,3,8,1,4,7,5]=>[8,2,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>000000 [7,5,4,8,1,3,2,6]=>[8,3,1,5,7,2,4,6]=>[3,1,5,7,2,4,6]=>000000 [8,5,4,7,1,3,2,6]=>[7,3,1,5,8,2,4,6]=>[7,3,1,5,2,4,6]=>000000 [2,3,1,8,5,4,6,7]=>[3,2,1,5,8,4,6,7]=>[3,2,1,5,4,6,7]=>001011 [3,5,2,6,7,1,8,4]=>[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>000000 [6,8,4,2,5,1,7,3]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>000000 [3,8,7,1,6,5,2,4]=>[7,5,3,2,6,1,8,4]=>[7,5,3,2,6,1,4]=>000000 [2,4,3,8,1,6,7,5]=>[8,2,4,3,7,1,6,5]=>[2,4,3,7,1,6,5]=>000000 [5,1,6,4,2,3,7,8]=>[5,4,2,6,1,3,7,8]=>[5,4,2,6,1,3,7]=>000001 [8,2,6,1,4,5,3,7]=>[6,8,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>000001 [6,2,8,1,4,5,3,7]=>[8,6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>000001 [4,2,1,5,6,3,8,7]=>[2,4,6,1,5,3,8,7]=>[2,4,6,1,5,3,7]=>000001 [7,1,5,6,4,8,3,2]=>[7,3,8,6,1,2,5,4]=>[7,3,6,1,2,5,4]=>000000 [4,8,1,5,6,7,2,3]=>[8,7,2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>000000 [6,3,1,4,7,8,5,2]=>[3,6,5,1,8,2,7,4]=>[3,6,5,1,2,7,4]=>000000 [4,2,1,6,3,7,8,5]=>[2,4,6,1,8,3,7,5]=>[2,4,6,1,3,7,5]=>000000 [2,7,6,8,3,1,4,5]=>[3,2,8,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>001100 [7,4,3,5,8,6,2,1]=>[2,6,4,8,3,7,1,5]=>[2,6,4,3,7,1,5]=>000000 [4,2,1,3,7,8,6,5]=>[2,4,1,3,6,8,7,5]=>[2,4,1,3,6,7,5]=>000100 [3,7,8,6,2,1,4,5]=>[2,6,3,1,4,8,7,5]=>[2,6,3,1,4,7,5]=>000000 [3,6,7,5,2,4,1,8]=>[4,5,3,2,7,6,1,8]=>[4,5,3,2,7,6,1]=>000000 [3,5,6,2,4,1,7,8]=>[4,6,3,2,5,1,7,8]=>[4,6,3,2,5,1,7]=>000001 [8,3,6,1,4,5,7,2]=>[6,7,8,1,2,5,3,4]=>[6,7,1,2,5,3,4]=>000000 [2,7,8,5,3,6,4,1]=>[4,2,6,5,8,1,7,3]=>[4,2,6,5,1,7,3]=>000000 [7,8,3,6,1,4,5,2]=>[6,5,8,1,3,2,7,4]=>[6,5,1,3,2,7,4]=>000000 [6,4,1,2,8,5,7,3]=>[4,1,6,7,8,3,5,2]=>[4,1,6,7,3,5,2]=>000000 [8,4,6,1,2,3,7,5]=>[6,1,2,8,7,4,3,5]=>[6,1,2,7,4,3,5]=>000000 [6,7,3,8,2,4,5,1]=>[5,8,7,2,3,6,1,4]=>[5,7,2,3,6,1,4]=>000000 [6,4,8,7,2,5,3,1]=>[3,5,7,6,1,4,8,2]=>[3,5,7,6,1,4,2]=>000000 [2,1,6,8,4,7,5,3]=>[2,1,5,7,8,6,3,4]=>[2,1,5,7,6,3,4]=>010000 [3,5,4,1,8,7,2,6]=>[4,5,3,7,2,1,8,6]=>[4,5,3,7,2,1,6]=>000000 [2,4,6,8,3,7,5,1]=>[5,2,7,4,8,6,1,3]=>[5,2,7,4,6,1,3]=>000000 [1,7,2,3,5,6,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,2,3,4,5,6]=>100000 [4,3,7,1,6,8,2,5]=>[7,8,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>000000 [4,2,7,3,6,5,8,1]=>[8,4,7,2,6,3,5,1]=>[4,7,2,6,3,5,1]=>000000 [2,8,7,3,4,5,1,6]=>[5,2,7,3,4,1,8,6]=>[5,2,7,3,4,1,6]=>000000 [7,2,1,6,3,5,4,8]=>[2,7,6,5,3,1,4,8]=>[2,7,6,5,3,1,4]=>000000 [7,3,1,6,2,5,4,8]=>[3,7,6,5,2,4,1,8]=>[3,7,6,5,2,4,1]=>000000 [6,1,8,3,5,2,7,4]=>[6,5,8,7,3,1,2,4]=>[6,5,7,3,1,2,4]=>000000 [8,7,1,3,5,6,2,4]=>[7,6,1,3,2,4,8,5]=>[7,6,1,3,2,4,5]=>000000 [6,8,2,3,5,1,7,4]=>[5,8,2,7,3,6,1,4]=>[5,2,7,3,6,1,4]=>000000 [2,7,8,6,1,4,3,5]=>[6,2,4,1,3,8,7,5]=>[6,2,4,1,3,7,5]=>000000 [4,2,8,1,6,7,3,5]=>[8,4,7,2,3,1,6,5]=>[4,7,2,3,1,6,5]=>000000 [1,8,5,6,2,3,4,7]=>[1,6,2,3,8,5,4,7]=>[1,6,2,3,5,4,7]=>100001 [1,4,7,3,5,8,2,6]=>[1,8,7,4,3,2,5,6]=>[1,7,4,3,2,5,6]=>100000 [8,4,6,2,3,5,1,7]=>[5,6,2,8,3,4,1,7]=>[5,6,2,3,4,1,7]=>000001 [6,8,3,7,2,1,4,5]=>[2,7,8,1,3,6,5,4]=>[2,7,1,3,6,5,4]=>000000 [6,1,3,7,4,8,2,5]=>[6,8,1,7,3,5,4,2]=>[6,1,7,3,5,4,2]=>000000 [3,8,7,5,1,2,4,6]=>[5,1,3,2,7,4,8,6]=>[5,1,3,2,7,4,6]=>000000 [8,5,7,4,1,2,3,6]=>[4,1,2,7,8,3,5,6]=>[4,1,2,7,3,5,6]=>000000 [1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[1,7,6,3,4,2,5]=>100000 [4,1,8,7,2,3,5,6]=>[4,7,2,1,3,5,8,6]=>[4,7,2,1,3,5,6]=>000000 [7,1,4,6,5,8,2,3]=>[7,8,2,1,6,3,4,5]=>[7,2,1,6,3,4,5]=>000000 [7,1,4,6,5,3,2,8]=>[7,3,5,1,6,4,2,8]=>[7,3,5,1,6,4,2]=>000000 [3,4,7,1,6,8,2,5]=>[7,8,3,4,2,1,6,5]=>[7,3,4,2,1,6,5]=>000000 [3,4,1,7,8,6,2,5]=>[4,6,3,1,2,8,7,5]=>[4,6,3,1,2,7,5]=>000000 [6,4,2,3,8,5,1,7]=>[5,4,2,8,6,1,3,7]=>[5,4,2,6,1,3,7]=>000001 [4,8,3,1,2,6,7,5]=>[3,1,8,4,7,2,6,5]=>[3,1,4,7,2,6,5]=>000000 [4,2,1,5,8,6,3,7]=>[2,4,6,1,5,8,3,7]=>[2,4,6,1,5,3,7]=>000001 [6,7,3,1,4,8,2,5]=>[3,7,8,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>000000 [4,2,1,7,8,6,3,5]=>[2,4,6,1,3,8,7,5]=>[2,4,6,1,3,7,5]=>000000 [6,3,8,2,4,5,1,7]=>[5,8,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>000001 [3,6,4,2,1,5,8,7]=>[2,4,3,6,1,5,8,7]=>[2,4,3,6,1,5,7]=>000001 [3,5,8,6,4,2,1,7]=>[2,4,3,6,5,8,1,7]=>[2,4,3,6,5,1,7]=>000001 [5,8,6,3,4,2,1,7]=>[2,4,6,3,5,8,1,7]=>[2,4,6,3,5,1,7]=>000001 [5,6,3,4,2,1,8,7]=>[2,4,6,3,5,1,8,7]=>[2,4,6,3,5,1,7]=>000001 [6,3,4,2,1,5,8,7]=>[2,4,6,3,1,5,8,7]=>[2,4,6,3,1,5,7]=>000001 [5,6,4,2,1,3,8,7]=>[2,4,1,6,5,3,8,7]=>[2,4,1,6,5,3,7]=>000001 [2,8,6,3,5,4,1,7]=>[4,2,5,6,1,8,3,7]=>[4,2,5,6,1,3,7]=>000001 [5,8,6,4,2,1,3,7]=>[2,4,1,6,5,8,3,7]=>[2,4,1,6,5,3,7]=>000001 [4,2,1,5,7,8,6,3]=>[2,4,6,1,5,8,7,3]=>[2,4,6,1,5,7,3]=>000000 [2,7,8,6,3,5,4,1]=>[4,2,5,6,1,8,7,3]=>[4,2,5,6,1,7,3]=>000000 [2,1,8,5,6,4,3,7]=>[2,1,4,6,8,5,3,7]=>[2,1,4,6,5,3,7]=>010001 [4,2,1,8,5,6,3,7]=>[2,4,6,1,8,5,3,7]=>[2,4,6,1,5,3,7]=>000001 [6,3,4,2,1,8,5,7]=>[2,4,6,3,8,1,5,7]=>[2,4,6,3,1,5,7]=>000001 [3,8,5,6,4,2,1,7]=>[2,4,3,6,8,5,1,7]=>[2,4,3,6,5,1,7]=>000001 [3,6,4,2,1,8,5,7]=>[2,4,3,6,8,1,5,7]=>[2,4,3,6,1,5,7]=>000001 [2,1,7,8,6,4,3,5]=>[2,1,4,6,3,8,7,5]=>[2,1,4,6,3,7,5]=>010000 [2,1,6,4,3,7,8,5]=>[2,1,4,6,8,3,7,5]=>[2,1,4,6,3,7,5]=>010000 [5,7,6,2,3,8,4,1]=>[4,8,2,6,5,7,1,3]=>[4,2,6,5,7,1,3]=>000000 [2,6,1,8,4,3,7,5]=>[6,2,4,8,7,1,3,5]=>[6,2,4,7,1,3,5]=>000000 [2,6,1,7,5,8,4,3]=>[6,2,4,8,7,1,5,3]=>[6,2,4,7,1,5,3]=>000000 [8,4,2,3,7,5,6,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>000000 [7,5,6,1,8,4,2,3]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>000000 [2,7,5,8,4,3,6,1]=>[6,2,4,8,7,3,5,1]=>[6,2,4,7,3,5,1]=>000000 [2,8,4,3,6,1,7,5]=>[6,2,4,8,7,3,1,5]=>[6,2,4,7,3,1,5]=>000000 [1,5,3,7,4,2,8,6]=>[1,4,7,5,2,8,3,6]=>[1,4,7,5,2,3,6]=>100000 [7,8,6,1,3,4,5,2]=>[6,5,1,2,3,8,7,4]=>[6,5,1,2,3,7,4]=>000000 [6,5,8,2,3,1,7,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>000000 [7,4,2,1,3,6,8,5]=>[2,4,1,7,8,3,6,5]=>[2,4,1,7,3,6,5]=>000000 [8,5,1,3,2,6,7,4]=>[5,3,1,8,7,2,4,6]=>[5,3,1,7,2,4,6]=>000000 [1,8,2,3,5,6,7,4]=>[1,8,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>110000 [4,1,3,2,5,7,8,6]=>[4,3,1,2,5,8,7,6]=>[4,3,1,2,5,7,6]=>000110 [6,3,8,5,4,7,1,2]=>[7,1,6,5,8,3,4,2]=>[7,1,6,5,3,4,2]=>000000 [2,5,4,6,8,7,1,3]=>[7,2,1,5,4,6,8,3]=>[7,2,1,5,4,6,3]=>000000 [8,6,4,7,2,3,1,5]=>[3,7,2,6,1,8,4,5]=>[3,7,2,6,1,4,5]=>000000 [8,2,3,7,4,1,6,5]=>[4,7,2,8,6,1,5,3]=>[4,7,2,6,1,5,3]=>000000 [6,8,7,5,2,3,1,4]=>[3,5,2,1,7,6,8,4]=>[3,5,2,1,7,6,4]=>000000 [2,6,5,3,8,1,7,4]=>[8,2,5,6,7,4,1,3]=>[2,5,6,7,4,1,3]=>000000 [6,4,8,3,7,1,5,2]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>000000 [4,3,6,1,8,5,7,2]=>[6,7,4,3,8,1,5,2]=>[6,7,4,3,1,5,2]=>000000 [6,1,4,8,7,5,3,2]=>[6,3,5,1,7,4,8,2]=>[6,3,5,1,7,4,2]=>000000 [1,5,2,6,8,4,3,7]=>[1,5,4,8,2,6,3,7]=>[1,5,4,2,6,3,7]=>100001 [6,8,2,3,4,1,7,5]=>[4,8,2,3,7,6,1,5]=>[4,2,3,7,6,1,5]=>000000 [1,8,7,3,5,4,2,6]=>[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,6]=>100000 [6,8,1,3,4,7,2,5]=>[8,7,1,2,4,6,3,5]=>[7,1,2,4,6,3,5]=>000000 [5,8,4,1,2,6,7,3]=>[4,1,8,7,5,2,3,6]=>[4,1,7,5,2,3,6]=>000000 [6,3,1,8,5,7,2,4]=>[3,6,7,2,8,4,5,1]=>[3,6,7,2,4,5,1]=>000000 [7,8,2,6,5,3,1,4]=>[3,5,6,1,8,2,7,4]=>[3,5,6,1,2,7,4]=>000000 [7,8,3,6,5,1,2,4]=>[5,1,6,2,8,4,7,3]=>[5,1,6,2,4,7,3]=>000000 [2,3,7,5,6,8,1,4]=>[8,2,3,1,7,5,6,4]=>[2,3,1,7,5,6,4]=>001000 [3,4,2,6,7,8,1,5]=>[8,4,3,2,1,6,7,5]=>[4,3,2,1,6,7,5]=>000100 [3,1,4,2,6,8,7,5]=>[3,4,1,2,7,6,8,5]=>[3,4,1,2,7,6,5]=>000100 [7,8,1,5,3,2,4,6]=>[8,3,5,2,1,4,7,6]=>[3,5,2,1,4,7,6]=>000010 [8,2,7,5,1,3,4,6]=>[5,7,1,2,8,3,6,4]=>[5,7,1,2,3,6,4]=>000000 [6,5,7,1,8,2,3,4]=>[7,8,2,3,6,5,1,4]=>[7,2,3,6,5,1,4]=>000000 [6,8,1,7,3,2,4,5]=>[8,3,7,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>000000 [8,3,1,7,4,6,2,5]=>[3,8,6,7,2,5,1,4]=>[3,6,7,2,5,1,4]=>000000 [5,2,3,6,1,8,7,4]=>[6,5,2,7,3,1,8,4]=>[6,5,2,7,3,1,4]=>000000 [4,2,7,3,8,1,6,5]=>[8,4,7,2,6,1,3,5]=>[4,7,2,6,1,3,5]=>000000 [5,1,3,7,2,8,6,4]=>[5,7,1,6,3,8,2,4]=>[5,7,1,6,3,2,4]=>000000 [2,6,1,4,3,8,7,5]=>[6,2,4,1,7,3,8,5]=>[6,2,4,1,7,3,5]=>000000 [7,3,4,1,8,6,5,2]=>[4,5,6,3,8,7,1,2]=>[4,5,6,3,7,1,2]=>000000 [3,6,2,5,1,4,8,7]=>[5,6,3,1,2,4,8,7]=>[5,6,3,1,2,4,7]=>000001 [2,4,8,7,1,3,6,5]=>[7,2,1,4,6,3,8,5]=>[7,2,1,4,6,3,5]=>000000 [6,4,1,2,8,7,5,3]=>[4,1,6,5,7,3,8,2]=>[4,1,6,5,7,3,2]=>000000 [3,5,8,7,2,6,4,1]=>[4,6,3,7,5,1,8,2]=>[4,6,3,7,5,1,2]=>000000 [4,6,3,7,5,2,8,1]=>[8,5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>000000 [8,2,3,4,7,5,1,6]=>[5,7,2,3,8,1,6,4]=>[5,7,2,3,1,6,4]=>000000 [4,8,3,7,5,2,1,6]=>[2,5,7,4,8,1,6,3]=>[2,5,7,4,1,6,3]=>000000 [8,7,3,6,5,1,2,4]=>[5,1,6,2,7,4,8,3]=>[5,1,6,2,7,4,3]=>000000 [6,8,3,1,5,7,4,2]=>[3,8,4,7,1,6,2,5]=>[3,4,7,1,6,2,5]=>000000 [6,4,8,5,1,7,3,2]=>[5,3,8,7,6,1,2,4]=>[5,3,7,6,1,2,4]=>000000 [8,7,5,1,2,4,6,3]=>[5,1,7,2,6,3,8,4]=>[5,1,7,2,6,3,4]=>000000 [1,8,3,7,2,5,6,4]=>[1,7,8,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>100000 [7,1,8,2,3,5,6,4]=>[7,8,2,6,3,5,1,4]=>[7,2,6,3,5,1,4]=>000000 [8,6,3,7,4,1,5,2]=>[4,7,5,6,1,8,3,2]=>[4,7,5,6,1,3,2]=>000000 [2,8,7,3,5,6,1,4]=>[6,2,7,1,4,3,8,5]=>[6,2,7,1,4,3,5]=>000000 [8,3,7,2,5,6,1,4]=>[6,7,8,1,3,2,5,4]=>[6,7,1,3,2,5,4]=>000000 [1,2,8,6,7,3,5,4]=>[1,2,7,5,3,8,6,4]=>[1,2,7,5,3,6,4]=>110000 [8,1,7,2,6,3,4,5]=>[8,7,6,3,4,2,1,5]=>[7,6,3,4,2,1,5]=>000000 [8,3,7,1,2,5,6,4]=>[7,1,8,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>000000 [7,4,5,2,6,1,3,8]=>[6,5,1,7,4,2,3,8]=>[6,5,1,7,4,2,3]=>000000 [5,3,8,6,2,7,4,1]=>[4,7,6,5,1,8,3,2]=>[4,7,6,5,1,3,2]=>000000 [6,7,4,3,1,8,2,5]=>[3,4,7,8,2,6,1,5]=>[3,4,7,2,6,1,5]=>000000 [6,7,1,3,2,5,4,8]=>[7,3,1,5,2,6,4,8]=>[7,3,1,5,2,6,4]=>000000 [5,6,4,7,1,3,2,8]=>[7,3,1,6,5,4,2,8]=>[7,3,1,6,5,4,2]=>000000 [4,5,1,3,2,7,6,8]=>[5,3,1,4,2,7,6,8]=>[5,3,1,4,2,7,6]=>000010 [4,5,2,3,1,7,6,8]=>[3,5,2,4,1,7,6,8]=>[3,5,2,4,1,7,6]=>000010 [5,1,6,3,2,7,4,8]=>[5,3,6,7,1,2,4,8]=>[5,3,6,7,1,2,4]=>000000 [3,6,1,7,4,2,5,8]=>[6,4,3,7,2,1,5,8]=>[6,4,3,7,2,1,5]=>000000 [3,6,1,7,5,2,4,8]=>[6,5,3,2,7,1,4,8]=>[6,5,3,2,7,1,4]=>000000 [5,1,6,2,7,4,3,8]=>[5,6,4,7,1,2,3,8]=>[5,6,4,7,1,2,3]=>000000 [2,6,1,5,4,3,7,8]=>[6,2,4,5,1,3,7,8]=>[6,2,4,5,1,3,7]=>000001 [4,1,6,3,2,7,8,5]=>[4,3,6,1,8,2,7,5]=>[4,3,6,1,2,7,5]=>000000 [3,6,8,4,2,7,5,1]=>[5,4,3,7,8,6,1,2]=>[5,4,3,7,6,1,2]=>000000 [3,6,8,4,5,7,1,2]=>[7,1,3,8,4,6,5,2]=>[7,1,3,4,6,5,2]=>000000 [8,4,1,5,3,2,6,7]=>[4,3,8,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>000011 [7,1,4,8,3,5,2,6]=>[7,5,8,1,4,3,2,6]=>[7,5,1,4,3,2,6]=>000000 [6,7,4,1,3,8,2,5]=>[4,7,1,8,3,6,2,5]=>[4,7,1,3,6,2,5]=>000000 [1,2,7,8,6,3,4,5]=>[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,7,5]=>110000 [4,1,7,8,6,2,3,5]=>[4,6,2,1,3,8,7,5]=>[4,6,2,1,3,7,5]=>000000 [3,1,2,6,7,5,8,4]=>[3,1,2,8,7,6,5,4]=>[3,1,2,7,6,5,4]=>001000 [1,5,7,3,4,6,8,2]=>[1,8,7,3,5,4,6,2]=>[1,7,3,5,4,6,2]=>100000 [6,1,2,3,5,8,4,7]=>[6,1,2,8,3,5,4,7]=>[6,1,2,3,5,4,7]=>000001 [5,3,2,8,6,7,4,1]=>[4,3,7,5,1,8,6,2]=>[4,3,7,5,1,6,2]=>000000 [2,7,8,5,3,6,1,4]=>[6,2,5,1,8,3,7,4]=>[6,2,5,1,3,7,4]=>000000 [4,5,7,3,8,6,2,1]=>[2,6,8,4,5,7,1,3]=>[2,6,4,5,7,1,3]=>000000 [6,3,1,8,7,5,4,2]=>[3,6,4,5,7,2,8,1]=>[3,6,4,5,7,2,1]=>000000 [7,2,8,4,1,5,6,3]=>[4,8,7,6,1,2,3,5]=>[4,7,6,1,2,3,5]=>000000 [6,2,5,7,1,4,8,3]=>[7,6,8,1,3,2,4,5]=>[7,6,1,3,2,4,5]=>000000 [1,6,4,8,7,5,2,3]=>[1,5,2,7,6,3,8,4]=>[1,5,2,7,6,3,4]=>100000 [3,7,2,5,4,8,1,6]=>[8,7,3,5,2,1,4,6]=>[7,3,5,2,1,4,6]=>000000 [2,4,3,1,7,8,5,6]=>[3,2,4,1,8,5,7,6]=>[3,2,4,1,5,7,6]=>000110 [7,3,6,5,2,1,8,4]=>[2,5,6,7,8,1,4,3]=>[2,5,6,7,1,4,3]=>000000 [2,5,7,6,3,1,4,8]=>[3,2,6,1,5,7,4,8]=>[3,2,6,1,5,7,4]=>000000 [2,4,8,1,6,5,7,3]=>[8,2,7,4,6,1,5,3]=>[2,7,4,6,1,5,3]=>000000 [2,7,8,6,3,1,4,5]=>[3,2,6,1,4,8,7,5]=>[3,2,6,1,4,7,5]=>000000 [2,8,6,3,1,4,5,7]=>[3,2,6,1,4,8,5,7]=>[3,2,6,1,4,5,7]=>000001 [7,3,6,1,2,8,4,5]=>[6,1,7,8,4,3,2,5]=>[6,1,7,4,3,2,5]=>000000 [7,4,6,1,8,2,5,3]=>[6,8,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>000000 [5,1,7,6,2,3,8,4]=>[5,6,2,7,1,8,4,3]=>[5,6,2,7,1,4,3]=>000000 [5,1,7,6,2,8,3,4]=>[5,6,7,3,1,8,4,2]=>[5,6,7,3,1,4,2]=>000000 [6,8,5,7,4,1,2,3]=>[4,1,2,7,8,6,5,3]=>[4,1,2,7,6,5,3]=>000000 [6,8,4,2,1,5,7,3]=>[2,4,8,7,1,6,3,5]=>[2,4,7,1,6,3,5]=>000000 [5,3,2,7,6,1,4,8]=>[6,3,5,1,2,7,4,8]=>[6,3,5,1,2,7,4]=>000000 [4,3,1,6,2,7,5,8]=>[3,4,6,2,7,1,5,8]=>[3,4,6,2,7,1,5]=>000000 [6,4,2,1,7,8,3,5]=>[2,4,6,8,3,5,7,1]=>[2,4,6,3,5,7,1]=>000000 [6,2,8,5,4,7,3,1]=>[3,7,6,5,8,1,4,2]=>[3,7,6,5,1,4,2]=>000000 [7,2,8,4,3,1,5,6]=>[3,4,8,7,1,2,6,5]=>[3,4,7,1,2,6,5]=>000000 [8,1,6,5,7,3,4,2]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>000000 [8,4,1,5,7,6,2,3]=>[4,8,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>000000 [6,5,2,7,1,4,8,3]=>[7,5,6,1,8,3,4,2]=>[7,5,6,1,3,4,2]=>000000 [3,2,7,8,4,6,1,5]=>[6,3,2,8,1,4,7,5]=>[6,3,2,1,4,7,5]=>000000 [5,1,8,3,4,6,7,2]=>[5,7,8,3,1,4,6,2]=>[5,7,3,1,4,6,2]=>000000 [7,3,1,2,4,6,8,5]=>[3,1,7,2,8,4,6,5]=>[3,1,7,2,4,6,5]=>000000 [3,7,2,8,6,1,5,4]=>[6,8,3,5,1,7,4,2]=>[6,3,5,1,7,4,2]=>000000 [3,8,7,2,4,1,5,6]=>[4,7,3,2,1,5,8,6]=>[4,7,3,2,1,5,6]=>000000 [3,6,4,7,2,8,5,1]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>000000 [4,3,7,8,1,6,2,5]=>[8,6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>000000 [2,3,7,8,5,6,1,4]=>[6,2,3,1,8,5,7,4]=>[6,2,3,1,5,7,4]=>000000 [4,6,8,5,3,2,7,1]=>[7,3,5,4,8,6,2,1]=>[7,3,5,4,6,2,1]=>000000 [7,6,4,8,5,2,1,3]=>[2,5,1,8,6,7,3,4]=>[2,5,1,6,7,3,4]=>000000 [2,8,3,6,4,7,5,1]=>[5,2,7,8,6,4,1,3]=>[5,2,7,6,4,1,3]=>000000 [6,2,1,7,5,8,3,4]=>[2,6,8,3,7,1,5,4]=>[2,6,3,7,1,5,4]=>000000 [6,7,2,1,5,8,4,3]=>[2,7,4,8,1,6,5,3]=>[2,7,4,1,6,5,3]=>000000 [6,5,2,4,7,1,3,8]=>[7,5,1,3,6,2,4,8]=>[7,5,1,3,6,2,4]=>000000 [7,8,4,1,3,6,2,5]=>[4,8,1,6,3,2,7,5]=>[4,1,6,3,2,7,5]=>000000 [5,3,6,1,8,2,4,7]=>[6,8,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>000001 [5,6,7,2,3,1,8,4]=>[3,7,2,8,5,6,1,4]=>[3,7,2,5,6,1,4]=>000000 [7,8,1,3,5,6,2,4]=>[8,6,1,3,2,4,7,5]=>[6,1,3,2,4,7,5]=>000000 [6,4,2,5,1,3,8,7]=>[5,4,1,6,2,3,8,7]=>[5,4,1,6,2,3,7]=>000001 [6,8,2,3,7,1,4,5]=>[7,8,2,1,3,6,5,4]=>[7,2,1,3,6,5,4]=>000000 [5,8,3,2,7,1,4,6]=>[7,3,8,1,5,2,6,4]=>[7,3,1,5,2,6,4]=>000000 [5,1,8,3,7,2,4,6]=>[5,7,8,2,1,3,6,4]=>[5,7,2,1,3,6,4]=>000000 [3,4,2,8,1,5,6,7]=>[8,4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [3,2,8,4,1,5,6,7]=>[4,3,2,8,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [3,8,4,1,6,7,5,2]=>[4,8,3,5,7,1,2,6]=>[4,3,5,7,1,2,6]=>000000 [6,7,5,8,4,1,3,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>000000 [1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,3,4,7,6]=>110010 [7,1,2,8,4,5,3,6]=>[7,1,5,8,4,3,2,6]=>[7,1,5,4,3,2,6]=>000000 [7,1,6,5,3,2,4,8]=>[7,3,5,2,6,1,4,8]=>[7,3,5,2,6,1,4]=>000000 [1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,6]=>100000 [2,6,5,4,7,1,3,8]=>[7,2,1,5,6,4,3,8]=>[7,2,1,5,6,4,3]=>000000 [2,8,7,5,4,6,1,3]=>[6,2,1,5,7,4,8,3]=>[6,2,1,5,7,4,3]=>000000 [2,3,1,8,7,5,4,6]=>[3,2,1,5,7,4,8,6]=>[3,2,1,5,7,4,6]=>001000 [6,1,8,7,5,3,2,4]=>[6,3,5,2,7,1,8,4]=>[6,3,5,2,7,1,4]=>000000 [2,4,5,1,3,8,7,6]=>[5,2,1,4,3,7,8,6]=>[5,2,1,4,3,7,6]=>000010 [1,7,4,2,5,8,6,3]=>[1,4,7,6,2,8,3,5]=>[1,4,7,6,2,3,5]=>100000 [8,6,3,1,7,4,2,5]=>[3,6,4,8,2,7,1,5]=>[3,6,4,2,7,1,5]=>000000 [4,1,8,7,5,3,2,6]=>[4,3,5,1,7,2,8,6]=>[4,3,5,1,7,2,6]=>000000 [7,4,2,8,6,3,1,5]=>[3,6,4,8,1,7,2,5]=>[3,6,4,1,7,2,5]=>000000 [6,3,1,7,4,8,5,2]=>[3,6,5,8,7,2,1,4]=>[3,6,5,7,2,1,4]=>000000 [4,1,8,5,7,3,2,6]=>[4,3,7,1,8,2,5,6]=>[4,3,7,1,2,5,6]=>000000 [4,1,7,5,8,3,2,6]=>[4,3,8,1,7,2,5,6]=>[4,3,1,7,2,5,6]=>000000 [5,1,7,4,8,3,2,6]=>[5,3,8,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>000000 [4,7,2,8,3,6,1,5]=>[6,7,8,4,1,3,2,5]=>[6,7,4,1,3,2,5]=>000000 [6,3,4,8,1,7,2,5]=>[8,7,6,3,2,4,1,5]=>[7,6,3,2,4,1,5]=>000000 [6,5,3,8,7,1,2,4]=>[7,1,5,2,6,3,8,4]=>[7,1,5,2,6,3,4]=>000000 [4,6,3,8,1,7,2,5]=>[8,7,6,4,2,3,1,5]=>[7,6,4,2,3,1,5]=>000000 [6,2,8,7,5,1,3,4]=>[5,7,1,2,6,3,8,4]=>[5,7,1,2,6,3,4]=>000000 [2,6,8,7,5,1,3,4]=>[5,2,1,3,7,6,8,4]=>[5,2,1,3,7,6,4]=>000000 [5,7,6,4,8,1,2,3]=>[8,1,2,6,5,7,4,3]=>[1,2,6,5,7,4,3]=>110000 [6,1,3,2,4,8,7,5]=>[6,3,1,2,7,4,8,5]=>[6,3,1,2,7,4,5]=>000000 [8,7,4,2,3,6,1,5]=>[6,4,2,7,1,3,8,5]=>[6,4,2,7,1,3,5]=>000000 [8,7,1,5,4,2,3,6]=>[7,4,2,5,1,3,8,6]=>[7,4,2,5,1,3,6]=>000000 [3,7,1,5,2,8,6,4]=>[7,5,3,6,1,8,2,4]=>[7,5,3,6,1,2,4]=>000000 [5,2,8,7,1,4,3,6]=>[7,5,4,1,2,3,8,6]=>[7,5,4,1,2,3,6]=>000000 [7,1,8,6,2,4,3,5]=>[7,6,4,2,3,8,1,5]=>[7,6,4,2,3,1,5]=>000000 [8,1,6,2,7,5,3,4]=>[8,6,5,3,7,1,2,4]=>[6,5,3,7,1,2,4]=>000000 [7,1,6,2,8,5,3,4]=>[7,6,5,3,8,1,2,4]=>[7,6,5,3,1,2,4]=>000000 [7,2,4,3,5,1,8,6]=>[5,7,4,2,3,8,1,6]=>[5,7,4,2,3,1,6]=>000000 [5,1,7,2,3,8,6,4]=>[5,7,2,6,1,8,3,4]=>[5,7,2,6,1,3,4]=>000000 [8,2,3,5,1,7,6,4]=>[5,8,2,6,3,7,1,4]=>[5,2,6,3,7,1,4]=>000000 [7,6,3,1,4,8,2,5]=>[3,6,7,1,4,8,5,2]=>[3,6,7,1,4,5,2]=>000000 [7,2,8,1,6,5,3,4]=>[8,7,5,3,6,1,2,4]=>[7,5,3,6,1,2,4]=>000000 [5,1,7,4,3,8,2,6]=>[5,8,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>000000 [7,4,8,2,1,5,3,6]=>[2,8,5,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>000000 [8,2,4,1,6,3,7,5]=>[4,8,6,2,7,1,3,5]=>[4,6,2,7,1,3,5]=>000000 [6,1,7,3,2,8,5,4]=>[6,3,7,5,8,1,2,4]=>[6,3,7,5,1,2,4]=>000000 [4,7,2,1,6,3,8,5]=>[2,7,6,4,8,1,3,5]=>[2,7,6,4,1,3,5]=>000000 [6,2,1,5,3,8,4,7]=>[2,6,5,8,1,3,4,7]=>[2,6,5,1,3,4,7]=>000001 [6,1,5,2,8,4,3,7]=>[6,5,4,8,1,2,3,7]=>[6,5,4,1,2,3,7]=>000001 [7,4,3,8,1,5,2,6]=>[8,5,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>000000 [7,4,8,1,5,3,2,6]=>[8,3,5,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>000000 [6,1,5,3,2,8,4,7]=>[6,3,5,8,1,2,4,7]=>[6,3,5,1,2,4,7]=>000001 [4,8,5,6,1,7,3,2]=>[6,3,7,4,8,5,1,2]=>[6,3,7,4,5,1,2]=>000000 [3,6,7,1,5,2,8,4]=>[7,5,3,8,1,6,2,4]=>[7,5,3,1,6,2,4]=>000000 [5,6,2,7,1,3,8,4]=>[7,6,1,8,5,2,3,4]=>[7,6,1,5,2,3,4]=>000000 [5,6,2,8,1,3,7,4]=>[8,6,1,7,5,2,3,4]=>[6,1,7,5,2,3,4]=>000000 [5,2,1,7,4,8,3,6]=>[2,5,8,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>000000 [6,1,8,4,5,2,7,3]=>[6,5,7,8,4,1,2,3]=>[6,5,7,4,1,2,3]=>000000 [7,1,6,4,5,2,8,3]=>[7,5,8,6,4,1,2,3]=>[7,5,6,4,1,2,3]=>000000 [3,5,2,7,1,6,8,4]=>[7,5,3,8,2,1,6,4]=>[7,5,3,2,1,6,4]=>000000 [4,5,7,3,1,6,8,2]=>[3,7,8,4,5,1,2,6]=>[3,7,4,5,1,2,6]=>000000 [4,5,7,2,8,6,1,3]=>[6,8,1,4,5,7,3,2]=>[6,1,4,5,7,3,2]=>000000 [4,6,7,2,1,5,8,3]=>[2,7,8,4,1,6,5,3]=>[2,7,4,1,6,5,3]=>000000 [4,6,7,1,3,8,5,2]=>[7,5,1,4,8,6,3,2]=>[7,5,1,4,6,3,2]=>000000 [3,6,1,5,7,8,4,2]=>[6,4,3,8,1,5,7,2]=>[6,4,3,1,5,7,2]=>000000 [4,6,7,1,5,8,3,2]=>[7,3,8,4,1,6,5,2]=>[7,3,4,1,6,5,2]=>000000 [1,3,6,7,4,8,5,2]=>[1,5,3,8,7,6,2,4]=>[1,5,3,7,6,2,4]=>100000 [2,3,6,5,8,1,4,7]=>[8,2,3,1,6,5,4,7]=>[2,3,1,6,5,4,7]=>001001 [6,2,8,3,7,5,1,4]=>[5,7,6,1,8,3,4,2]=>[5,7,6,1,3,4,2]=>000000 [7,5,3,8,6,2,4,1]=>[4,6,5,2,8,7,1,3]=>[4,6,5,2,7,1,3]=>000000 [7,4,3,8,6,2,5,1]=>[5,6,4,8,2,7,1,3]=>[5,6,4,2,7,1,3]=>000000 [1,8,2,7,4,5,6,3]=>[1,8,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>100000 [5,2,8,4,6,7,3,1]=>[3,7,5,8,1,4,6,2]=>[3,7,5,1,4,6,2]=>000000 [2,6,8,4,5,7,3,1]=>[3,2,7,8,4,6,5,1]=>[3,2,7,4,6,5,1]=>000000 [4,7,5,2,8,1,3,6]=>[8,5,1,4,7,2,6,3]=>[5,1,4,7,2,6,3]=>000000 [5,3,8,1,6,2,4,7]=>[8,6,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>000001 [7,2,8,1,6,3,4,5]=>[8,7,6,3,4,1,2,5]=>[7,6,3,4,1,2,5]=>000000 [3,8,7,1,2,4,6,5]=>[7,1,3,2,6,4,8,5]=>[7,1,3,2,6,4,5]=>000000 [4,8,6,2,1,3,7,5]=>[2,6,1,4,8,7,5,3]=>[2,6,1,4,7,5,3]=>000000 [5,6,3,1,8,4,7,2]=>[3,6,7,8,5,2,4,1]=>[3,6,7,5,2,4,1]=>000000 [6,5,3,7,4,8,2,1]=>[2,8,5,6,7,4,3,1]=>[2,5,6,7,4,3,1]=>000000 [3,5,4,7,1,6,8,2]=>[7,8,3,5,4,1,6,2]=>[7,3,5,4,1,6,2]=>000000 [3,7,2,5,1,8,6,4]=>[5,7,3,6,2,8,1,4]=>[5,7,3,6,2,1,4]=>000000 [3,7,2,5,1,8,4,6]=>[5,7,3,8,2,4,1,6]=>[5,7,3,2,4,1,6]=>000000 [3,2,6,8,1,5,4,7]=>[8,3,2,5,1,6,4,7]=>[3,2,5,1,6,4,7]=>000001 [8,4,2,7,5,1,3,6]=>[5,4,1,7,8,2,3,6]=>[5,4,1,7,2,3,6]=>000000 [2,5,1,4,8,7,3,6]=>[5,2,7,1,4,3,8,6]=>[5,2,7,1,4,3,6]=>000000 [7,2,6,5,3,8,1,4]=>[8,7,5,1,6,4,2,3]=>[7,5,1,6,4,2,3]=>000000 [4,2,6,1,3,7,5,8]=>[6,4,1,2,7,3,5,8]=>[6,4,1,2,7,3,5]=>000000 [3,5,7,1,8,2,6,4]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>000000 [4,6,2,3,5,1,8,7]=>[5,6,2,4,3,1,8,7]=>[5,6,2,4,3,1,7]=>000001 [2,4,1,8,3,6,7,5]=>[4,2,8,1,7,3,6,5]=>[4,2,1,7,3,6,5]=>000000 [2,1,4,8,6,3,7,5]=>[2,1,6,4,8,7,5,3]=>[2,1,6,4,7,5,3]=>010000 [5,1,8,3,6,4,7,2]=>[5,7,8,6,1,3,4,2]=>[5,7,6,1,3,4,2]=>000000 [6,2,8,3,4,7,5,1]=>[5,7,6,3,8,4,1,2]=>[5,7,6,3,4,1,2]=>000000 [4,2,7,6,3,1,5,8]=>[3,6,4,1,2,7,5,8]=>[3,6,4,1,2,7,5]=>000000 [7,6,3,1,8,4,2,5]=>[3,6,4,7,2,8,1,5]=>[3,6,4,7,2,1,5]=>000000 [7,6,4,2,1,8,3,5]=>[2,4,6,7,3,8,1,5]=>[2,4,6,7,3,1,5]=>000000 [6,3,7,1,2,8,5,4]=>[7,1,6,5,8,3,2,4]=>[7,1,6,5,3,2,4]=>000000 [1,5,8,4,7,3,6,2]=>[1,6,7,8,5,3,4,2]=>[1,6,7,5,3,4,2]=>100000 [3,6,4,1,7,8,5,2]=>[4,6,3,5,8,2,7,1]=>[4,6,3,5,2,7,1]=>000000 [4,1,7,8,6,3,2,5]=>[4,3,6,1,2,8,7,5]=>[4,3,6,1,2,7,5]=>000000 [6,8,3,2,1,4,7,5]=>[2,3,8,1,7,6,4,5]=>[2,3,1,7,6,4,5]=>001000 [8,4,7,6,2,3,5,1]=>[5,6,2,7,3,8,1,4]=>[5,6,2,7,3,1,4]=>000000 [6,5,3,8,4,2,7,1]=>[7,4,8,5,6,2,3,1]=>[7,4,5,6,2,3,1]=>000000 [7,4,3,8,6,2,1,5]=>[2,6,4,8,1,7,5,3]=>[2,6,4,1,7,5,3]=>000000 [7,1,2,8,3,6,4,5]=>[7,1,8,6,4,3,2,5]=>[7,1,6,4,3,2,5]=>000000 [6,1,7,2,3,5,8,4]=>[6,7,2,8,3,1,5,4]=>[6,7,2,3,1,5,4]=>000000 [8,2,3,7,5,4,1,6]=>[4,5,2,7,8,1,3,6]=>[4,5,2,7,1,3,6]=>000000 [4,1,8,5,7,6,3,2]=>[4,3,6,1,7,8,2,5]=>[4,3,6,1,7,2,5]=>000000 [5,1,4,8,7,6,3,2]=>[5,3,6,1,4,7,8,2]=>[5,3,6,1,4,7,2]=>000000 [3,7,6,2,8,4,5,1]=>[5,6,3,7,4,8,1,2]=>[5,6,3,7,4,1,2]=>000000 [4,1,2,7,8,5,3,6]=>[4,1,5,2,8,3,7,6]=>[4,1,5,2,3,7,6]=>000010 [4,7,3,1,2,6,8,5]=>[3,1,7,4,8,2,6,5]=>[3,1,7,4,2,6,5]=>000000 [5,6,2,7,3,4,8,1]=>[8,6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>000000 [1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]=>[1,4,2,6,5,3,7]=>100001 [4,3,8,2,5,7,1,6]=>[7,8,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>000000 [2,8,4,1,5,7,6,3]=>[4,2,8,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>000000 [2,1,6,8,7,5,3,4]=>[2,1,5,3,7,6,8,4]=>[2,1,5,3,7,6,4]=>010000 [2,3,6,8,7,5,1,4]=>[5,2,3,1,7,6,8,4]=>[5,2,3,1,7,6,4]=>000000 [8,3,6,1,5,7,2,4]=>[6,7,8,2,1,4,3,5]=>[6,7,2,1,4,3,5]=>000000 [8,4,6,3,1,2,5,7]=>[3,1,6,8,2,4,5,7]=>[3,1,6,2,4,5,7]=>000001 [4,7,3,6,1,2,8,5]=>[6,1,7,4,8,3,2,5]=>[6,1,7,4,3,2,5]=>000000 [2,6,8,7,5,3,1,4]=>[3,2,5,1,7,6,8,4]=>[3,2,5,1,7,6,4]=>000000 [6,4,1,7,5,2,8,3]=>[4,6,5,7,8,2,1,3]=>[4,6,5,7,2,1,3]=>000000 [2,8,7,4,1,5,6,3]=>[4,2,7,6,1,3,8,5]=>[4,2,7,6,1,3,5]=>000000 [8,6,2,1,5,7,4,3]=>[2,6,4,8,1,7,3,5]=>[2,6,4,1,7,3,5]=>000000 [4,2,7,3,8,5,1,6]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>000000 [1,4,2,8,5,7,6,3]=>[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,3,5]=>100000 [2,6,3,8,1,5,4,7]=>[8,2,6,5,1,3,4,7]=>[2,6,5,1,3,4,7]=>000001 [6,8,4,1,5,2,7,3]=>[4,8,5,7,1,6,2,3]=>[4,5,7,1,6,2,3]=>000000 [5,8,4,6,1,2,7,3]=>[6,1,7,8,5,4,2,3]=>[6,1,7,5,4,2,3]=>000000 [6,5,7,4,1,3,8,2]=>[4,7,1,8,6,5,2,3]=>[4,7,1,6,5,2,3]=>000000 [2,6,4,1,5,7,8,3]=>[4,2,6,8,1,3,7,5]=>[4,2,6,1,3,7,5]=>000000 [5,2,8,3,6,1,4,7]=>[6,5,8,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>000001 [7,2,4,5,1,6,3,8]=>[5,7,6,2,3,4,1,8]=>[5,7,6,2,3,4,1]=>000000 [5,7,4,8,6,2,1,3]=>[2,6,1,8,5,7,3,4]=>[2,6,1,5,7,3,4]=>000000 [3,8,4,6,1,7,2,5]=>[6,7,3,8,2,5,4,1]=>[6,7,3,2,5,4,1]=>000000 [2,7,5,8,1,6,3,4]=>[8,2,6,3,7,1,5,4]=>[2,6,3,7,1,5,4]=>000000 [3,8,7,2,4,6,5,1]=>[5,6,3,2,7,1,8,4]=>[5,6,3,2,7,1,4]=>000000 [7,6,4,1,8,3,2,5]=>[4,3,6,7,2,8,1,5]=>[4,3,6,7,2,1,5]=>000000 [8,2,1,6,7,5,4,3]=>[2,8,4,5,7,1,6,3]=>[2,4,5,7,1,6,3]=>000000 [3,2,6,4,1,8,5,7]=>[4,3,2,6,8,1,5,7]=>[4,3,2,6,1,5,7]=>000001 [3,5,1,7,8,2,6,4]=>[5,8,3,6,1,2,7,4]=>[5,3,6,1,2,7,4]=>000000 [4,7,5,8,2,1,6,3]=>[2,8,6,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>000000 [4,3,7,2,8,6,1,5]=>[6,8,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>000000 [3,6,4,1,5,2,8,7]=>[4,6,3,5,2,1,8,7]=>[4,6,3,5,2,1,7]=>000001 [3,7,1,8,2,5,4,6]=>[7,8,3,5,2,4,1,6]=>[7,3,5,2,4,1,6]=>000000 [4,1,3,5,6,7,8,2]=>[4,8,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>000000 [2,1,5,8,6,3,7,4]=>[2,1,6,8,5,7,4,3]=>[2,1,6,5,7,4,3]=>010000 [4,6,8,5,2,7,1,3]=>[7,5,1,4,8,6,2,3]=>[7,5,1,4,6,2,3]=>000000 [3,7,8,5,2,6,1,4]=>[6,5,3,1,8,2,7,4]=>[6,5,3,1,2,7,4]=>000000 [3,7,8,5,4,1,6,2]=>[4,5,3,8,6,1,7,2]=>[4,5,3,6,1,7,2]=>000000 [4,6,8,5,3,1,7,2]=>[3,5,8,4,7,6,1,2]=>[3,5,4,7,6,1,2]=>000000 [6,8,4,3,1,7,2,5]=>[3,4,8,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>000000 [1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]=>[1,4,2,7,3,5,6]=>100000 [1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]=>[1,6,4,2,5,3,7]=>100001 [6,3,8,4,7,1,2,5]=>[7,1,6,8,2,3,4,5]=>[7,1,6,2,3,4,5]=>000000 [1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>110011 [4,1,8,5,7,2,3,6]=>[4,7,2,1,8,3,5,6]=>[4,7,2,1,3,5,6]=>000000 [8,2,5,1,4,6,7,3]=>[5,8,7,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>000000 [8,4,7,6,5,3,1,2]=>[3,1,5,6,7,8,4,2]=>[3,1,5,6,7,4,2]=>000000 [1,8,4,2,3,7,6,5]=>[1,4,2,8,6,7,3,5]=>[1,4,2,6,7,3,5]=>100000 [3,1,2,8,7,4,6,5]=>[3,1,2,7,6,4,8,5]=>[3,1,2,7,6,4,5]=>001000 [8,5,1,2,4,3,7,6]=>[5,1,4,2,8,7,3,6]=>[5,1,4,2,7,3,6]=>000000 [2,3,1,8,7,6,4,5]=>[3,2,1,6,4,7,8,5]=>[3,2,1,6,4,7,5]=>001000 [1,3,4,8,7,2,5,6]=>[1,7,3,4,2,5,8,6]=>[1,7,3,4,2,5,6]=>100000 [3,4,8,2,6,7,1,5]=>[7,8,3,4,1,5,2,6]=>[7,3,4,1,5,2,6]=>000000 [3,6,8,2,5,1,7,4]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>000000 [3,8,2,5,7,4,6,1]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>000000 [8,4,7,6,5,1,2,3]=>[5,1,2,6,7,8,4,3]=>[5,1,2,6,7,4,3]=>000000 [1,8,4,7,6,5,2,3]=>[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,4,3]=>100000 [5,3,6,1,4,2,8,7]=>[6,4,5,1,3,2,8,7]=>[6,4,5,1,3,2,7]=>000001 [7,2,4,8,1,5,6,3]=>[8,7,6,2,1,4,3,5]=>[7,6,2,1,4,3,5]=>000000 [2,1,7,5,8,3,6,4]=>[2,1,8,6,7,3,5,4]=>[2,1,6,7,3,5,4]=>010000 [7,2,3,8,1,5,6,4]=>[8,7,2,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>000000 [4,3,5,8,2,1,6,7]=>[2,8,4,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>000011 [3,7,5,2,4,8,1,6]=>[8,5,3,2,7,1,4,6]=>[5,3,2,7,1,4,6]=>000000 [8,6,3,1,7,5,4,2]=>[3,6,4,5,8,7,1,2]=>[3,6,4,5,7,1,2]=>000000 [1,8,6,2,7,3,4,5]=>[1,6,8,3,4,7,5,2]=>[1,6,3,4,7,5,2]=>100000 [1,3,7,2,5,6,8,4]=>[1,7,3,8,2,4,5,6]=>[1,7,3,2,4,5,6]=>100000 [7,2,4,8,6,3,1,5]=>[3,6,8,2,1,7,4,5]=>[3,6,2,1,7,4,5]=>000000 [8,5,3,6,2,1,7,4]=>[2,6,5,8,7,3,4,1]=>[2,6,5,7,3,4,1]=>000000 [3,6,1,2,4,8,7,5]=>[6,1,3,2,7,4,8,5]=>[6,1,3,2,7,4,5]=>000000 [6,3,1,2,4,8,7,5]=>[3,1,6,2,7,4,8,5]=>[3,1,6,2,7,4,5]=>000000 [4,2,6,1,3,7,8,5]=>[6,4,1,2,8,3,7,5]=>[6,4,1,2,3,7,5]=>000000 [3,6,7,1,8,2,5,4]=>[7,8,3,5,2,6,1,4]=>[7,3,5,2,6,1,4]=>000000 [4,5,7,1,6,8,3,2]=>[7,3,8,4,5,1,6,2]=>[7,3,4,5,1,6,2]=>000000 [7,6,2,3,1,8,4,5]=>[3,6,2,7,4,8,5,1]=>[3,6,2,7,4,5,1]=>000000 [8,1,6,3,5,4,7,2]=>[8,7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>000000 [7,1,3,6,8,5,4,2]=>[7,4,1,5,8,2,3,6]=>[7,4,1,5,2,3,6]=>000000 [5,1,7,3,6,8,2,4]=>[5,8,7,2,1,4,3,6]=>[5,7,2,1,4,3,6]=>000000 [4,5,7,6,1,8,2,3]=>[6,7,2,4,5,8,3,1]=>[6,7,2,4,5,3,1]=>000000 [8,2,7,6,4,3,1,5]=>[3,4,6,7,1,8,5,2]=>[3,4,6,7,1,5,2]=>000000 [8,1,4,5,6,3,7,2]=>[8,7,6,1,2,4,3,5]=>[7,6,1,2,4,3,5]=>000000 [8,1,4,5,6,2,7,3]=>[8,6,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>000000 [2,6,3,1,4,7,5,8]=>[3,2,6,1,7,4,5,8]=>[3,2,6,1,7,4,5]=>000000 [7,3,4,1,6,5,8,2]=>[4,8,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>000000 [3,7,4,2,5,8,6,1]=>[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>000000 [2,7,1,3,6,8,5,4]=>[7,2,1,5,8,3,6,4]=>[7,2,1,5,3,6,4]=>000000 [8,5,2,7,6,1,3,4]=>[6,5,1,2,7,8,3,4]=>[6,5,1,2,7,3,4]=>000000 [8,7,3,1,4,5,2,6]=>[3,7,5,1,2,4,8,6]=>[3,7,5,1,2,4,6]=>000000 [8,5,3,1,6,4,7,2]=>[3,5,8,7,6,1,2,4]=>[3,5,7,6,1,2,4]=>000000 [8,6,4,1,7,5,2,3]=>[4,6,2,5,8,7,1,3]=>[4,6,2,5,7,1,3]=>000000 [8,7,3,1,4,2,5,6]=>[3,7,4,2,1,5,8,6]=>[3,7,4,2,1,5,6]=>000000 [1,8,6,3,2,7,4,5]=>[1,3,6,8,4,7,5,2]=>[1,3,6,4,7,5,2]=>100000 [3,6,4,2,5,1,8,7]=>[5,4,3,6,2,1,8,7]=>[5,4,3,6,2,1,7]=>000001 [2,1,5,8,6,4,7,3]=>[2,1,7,6,5,8,4,3]=>[2,1,7,6,5,4,3]=>010000 [1,8,3,5,6,2,7,4]=>[1,6,8,7,3,4,5,2]=>[1,6,7,3,4,5,2]=>100000 [4,8,5,6,7,3,1,2]=>[3,1,7,4,8,5,6,2]=>[3,1,7,4,5,6,2]=>000000 [4,5,8,6,3,7,2,1]=>[2,7,6,4,5,8,3,1]=>[2,7,6,4,5,3,1]=>000000 [6,7,1,8,5,2,4,3]=>[7,5,4,2,8,6,1,3]=>[7,5,4,2,6,1,3]=>000000 [2,8,6,1,4,5,7,3]=>[6,2,8,1,3,7,5,4]=>[6,2,1,3,7,5,4]=>000000 [7,6,1,4,3,2,5,8]=>[6,3,4,1,2,7,5,8]=>[6,3,4,1,2,7,5]=>000000 [2,6,8,1,5,3,7,4]=>[8,2,5,7,1,6,3,4]=>[2,5,7,1,6,3,4]=>000000 [7,5,2,4,3,8,6,1]=>[6,5,4,2,8,7,1,3]=>[6,5,4,2,7,1,3]=>000000 [6,4,1,8,5,2,7,3]=>[4,6,5,8,7,2,1,3]=>[4,6,5,7,2,1,3]=>000000 [2,3,5,8,4,6,7,1]=>[7,2,3,8,5,4,6,1]=>[7,2,3,5,4,6,1]=>000000 [5,4,2,8,3,6,7,1]=>[7,4,5,8,3,2,6,1]=>[7,4,5,3,2,6,1]=>000000 [3,4,5,2,1,8,6,7]=>[2,5,3,4,1,8,6,7]=>[2,5,3,4,1,6,7]=>000011 [7,6,4,8,3,1,2,5]=>[3,1,8,6,2,7,4,5]=>[3,1,6,2,7,4,5]=>000000 [3,2,7,8,6,1,4,5]=>[6,3,2,1,4,8,7,5]=>[6,3,2,1,4,7,5]=>000000 [7,2,8,4,6,1,3,5]=>[6,7,1,8,2,5,3,4]=>[6,7,1,2,5,3,4]=>000000 [5,8,7,4,2,1,3,6]=>[2,4,1,7,5,3,8,6]=>[2,4,1,7,5,3,6]=>000000 [1,2,7,6,8,4,3,5]=>[1,2,4,8,3,7,6,5]=>[1,2,4,3,7,6,5]=>110100 [1,8,5,7,6,3,2,4]=>[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,4,5]=>100000 [4,5,3,8,2,1,6,7]=>[2,8,5,4,3,1,6,7]=>[2,5,4,3,1,6,7]=>000011 [4,1,2,8,5,3,7,6]=>[4,1,5,2,8,7,3,6]=>[4,1,5,2,7,3,6]=>000000 [5,1,8,2,4,6,7,3]=>[5,8,7,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>000000 [3,8,7,5,2,6,1,4]=>[6,5,3,1,7,2,8,4]=>[6,5,3,1,7,2,4]=>000000 [1,3,7,5,6,8,4,2]=>[1,4,3,8,7,5,6,2]=>[1,4,3,7,5,6,2]=>100000 [7,2,4,3,8,5,1,6]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>000000 [3,2,6,4,1,7,5,8]=>[4,3,2,6,7,1,5,8]=>[4,3,2,6,7,1,5]=>000000 [1,7,6,3,2,4,8,5]=>[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,5,4]=>100000 [1,8,5,3,2,4,7,6]=>[1,3,5,2,8,7,4,6]=>[1,3,5,2,7,4,6]=>100000 [1,8,5,6,2,7,4,3]=>[1,6,4,7,8,5,2,3]=>[1,6,4,7,5,2,3]=>100000 [3,7,2,6,8,1,5,4]=>[8,7,3,5,1,4,2,6]=>[7,3,5,1,4,2,6]=>000000 [1,5,4,7,8,6,2,3]=>[1,6,2,5,4,8,7,3]=>[1,6,2,5,4,7,3]=>100000 [4,2,5,3,8,7,1,6]=>[7,4,5,2,3,1,8,6]=>[7,4,5,2,3,1,6]=>000000 [5,8,7,2,4,1,3,6]=>[4,7,1,2,5,3,8,6]=>[4,7,1,2,5,3,6]=>000000 [8,2,4,6,1,3,7,5]=>[6,8,1,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>000000 [3,5,4,7,8,6,1,2]=>[6,1,3,5,4,8,7,2]=>[6,1,3,5,4,7,2]=>000000 [7,2,8,6,5,1,4,3]=>[5,6,4,1,8,7,2,3]=>[5,6,4,1,7,2,3]=>000000 [8,3,5,6,1,4,7,2]=>[6,7,8,1,4,3,5,2]=>[6,7,1,4,3,5,2]=>000000 [4,8,5,3,2,6,1,7]=>[6,3,5,4,8,2,1,7]=>[6,3,5,4,2,1,7]=>000001 [8,1,4,5,3,2,7,6]=>[8,3,5,1,4,7,2,6]=>[3,5,1,4,7,2,6]=>000000 [1,3,6,4,2,5,7,8]=>[1,4,3,6,2,5,7,8]=>[1,4,3,6,2,5,7]=>100001 [1,7,6,4,2,3,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5]=>100000 [1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5]=>111000 [1,3,2,5,8,6,4,7]=>[1,3,2,6,5,8,4,7]=>[1,3,2,6,5,4,7]=>101001 [4,8,2,7,1,3,6,5]=>[7,8,1,4,6,2,5,3]=>[7,1,4,6,2,5,3]=>000000 [7,1,8,4,6,3,5,2]=>[7,5,6,8,3,4,1,2]=>[7,5,6,3,4,1,2]=>000000 [1,4,7,5,8,6,3,2]=>[1,3,6,4,8,7,2,5]=>[1,3,6,4,7,2,5]=>100000 [1,6,8,7,5,3,2,4]=>[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,6,4]=>100000 [3,1,2,5,7,8,6,4]=>[3,1,2,6,5,8,7,4]=>[3,1,2,6,5,7,4]=>001000 [7,8,6,1,2,4,5,3]=>[6,1,5,2,4,8,7,3]=>[6,1,5,2,4,7,3]=>000000 [1,5,3,4,7,8,6,2]=>[1,6,5,3,4,8,7,2]=>[1,6,5,3,4,7,2]=>100000 [5,1,2,4,7,8,6,3]=>[5,1,6,2,4,8,7,3]=>[5,1,6,2,4,7,3]=>000000 [5,1,7,8,6,2,3,4]=>[5,6,2,3,1,8,7,4]=>[5,6,2,3,1,7,4]=>000000 [1,8,5,3,4,6,7,2]=>[1,7,5,3,8,4,6,2]=>[1,7,5,3,4,6,2]=>100000 [8,1,2,7,4,5,6,3]=>[8,1,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>100000 [8,1,6,7,5,2,3,4]=>[8,5,2,3,7,1,6,4]=>[5,2,3,7,1,6,4]=>000000 [8,1,6,4,2,3,5,7]=>[8,4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>000001 [8,3,1,2,4,6,7,5]=>[3,1,8,2,7,4,6,5]=>[3,1,2,7,4,6,5]=>001000 [3,1,2,8,5,6,7,4]=>[3,1,2,7,8,5,6,4]=>[3,1,2,7,5,6,4]=>001000 [6,1,8,4,2,3,5,7]=>[6,4,2,8,3,1,5,7]=>[6,4,2,3,1,5,7]=>000001 [1,7,3,8,4,5,6,2]=>[1,6,7,8,4,5,3,2]=>[1,6,7,4,5,3,2]=>100000 [2,7,4,3,8,5,1,6]=>[5,2,4,8,7,1,6,3]=>[5,2,4,7,1,6,3]=>000000 [5,7,3,2,8,1,4,6]=>[8,3,7,1,5,2,6,4]=>[3,7,1,5,2,6,4]=>000000 [3,6,8,5,4,1,7,2]=>[4,5,3,8,7,6,1,2]=>[4,5,3,7,6,1,2]=>000000 [2,5,1,4,7,8,3,6]=>[5,2,8,1,4,3,7,6]=>[5,2,1,4,3,7,6]=>000010 [3,5,1,6,4,2,7,8]=>[5,4,3,6,1,2,7,8]=>[5,4,3,6,1,2,7]=>000001 [7,2,4,1,3,6,8,5]=>[4,7,1,2,8,3,6,5]=>[4,7,1,2,3,6,5]=>000000 [2,1,7,3,5,6,8,4]=>[2,1,7,8,3,4,5,6]=>[2,1,7,3,4,5,6]=>010000 [4,5,8,6,2,1,3,7]=>[2,6,1,4,5,8,3,7]=>[2,6,1,4,5,3,7]=>000001 [3,8,2,5,1,7,4,6]=>[5,8,3,7,2,4,1,6]=>[5,3,7,2,4,1,6]=>000000 [7,8,4,2,6,3,5,1]=>[5,4,8,6,3,1,7,2]=>[5,4,6,3,1,7,2]=>000000 [4,6,8,3,7,1,2,5]=>[7,1,8,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>000000 [6,3,1,2,8,7,4,5]=>[3,1,6,7,4,2,8,5]=>[3,1,6,7,4,2,5]=>000000 [1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>100011 [1,8,3,7,5,2,4,6]=>[1,5,7,2,8,3,4,6]=>[1,5,7,2,3,4,6]=>100000 [2,6,1,8,3,4,7,5]=>[6,2,8,3,7,1,4,5]=>[6,2,3,7,1,4,5]=>000000 [7,4,1,6,2,5,3,8]=>[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1]=>000000 [8,3,2,1,5,6,7,4]=>[2,3,8,7,1,4,5,6]=>[2,3,7,1,4,5,6]=>000000 [8,5,7,2,3,6,4,1]=>[4,6,2,7,8,1,5,3]=>[4,6,2,7,1,5,3]=>000000 [7,1,5,3,6,4,8,2]=>[7,8,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>000000 [1,8,7,2,6,3,5,4]=>[1,7,6,5,3,2,8,4]=>[1,7,6,5,3,2,4]=>100000 [8,7,1,2,4,3,6,5]=>[7,1,4,2,6,3,8,5]=>[7,1,4,2,6,3,5]=>000000 [2,6,3,5,7,8,1,4]=>[8,2,6,1,4,3,7,5]=>[2,6,1,4,3,7,5]=>000000 [5,1,6,8,3,7,2,4]=>[5,7,8,2,1,6,3,4]=>[5,7,2,1,6,3,4]=>000000 [1,5,6,7,2,8,4,3]=>[1,7,4,8,5,6,2,3]=>[1,7,4,5,6,2,3]=>100000 [1,7,5,8,6,4,2,3]=>[1,4,2,6,8,7,3,5]=>[1,4,2,6,7,3,5]=>100000 [3,8,7,4,2,6,5,1]=>[5,4,3,6,7,1,8,2]=>[5,4,3,6,7,1,2]=>000000 [4,1,5,6,3,2,7,8]=>[4,3,6,1,5,2,7,8]=>[4,3,6,1,5,2,7]=>000001 [4,1,5,8,3,6,2,7]=>[4,6,8,1,5,3,2,7]=>[4,6,1,5,3,2,7]=>000001 [8,1,5,3,6,4,7,2]=>[8,7,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>000000 [3,6,4,1,5,7,8,2]=>[4,6,3,8,1,2,7,5]=>[4,6,3,1,2,7,5]=>000000 [8,2,5,7,4,3,6,1]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>000000 [5,4,8,2,1,3,7,6]=>[2,8,1,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>010000 [7,8,2,6,3,5,4,1]=>[4,5,8,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>000000 [1,4,7,2,3,6,8,5]=>[1,7,2,4,8,3,6,5]=>[1,7,2,4,3,6,5]=>100000 [3,1,8,5,4,7,2,6]=>[3,7,1,5,8,2,4,6]=>[3,7,1,5,2,4,6]=>000000 [5,3,1,8,6,2,4,7]=>[3,5,6,2,4,8,1,7]=>[3,5,6,2,4,1,7]=>000001 [6,3,4,7,1,8,5,2]=>[7,5,8,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>000000 [7,2,8,1,4,3,6,5]=>[8,7,4,1,6,2,5,3]=>[7,4,1,6,2,5,3]=>000000 [6,2,8,4,5,7,1,3]=>[7,6,1,8,4,2,5,3]=>[7,6,1,4,2,5,3]=>000000 [6,1,8,4,5,7,3,2]=>[6,3,7,8,4,1,5,2]=>[6,3,7,4,1,5,2]=>000000 [4,5,2,1,7,8,3,6]=>[2,5,8,4,1,3,7,6]=>[2,5,4,1,3,7,6]=>000010 [8,1,3,2,5,6,4,7]=>[8,3,1,6,2,5,4,7]=>[3,1,6,2,5,4,7]=>000001 [6,2,1,8,5,7,4,3]=>[2,6,4,7,8,1,5,3]=>[2,6,4,7,1,5,3]=>000000 [4,8,1,2,7,6,5,3]=>[8,1,5,4,6,7,2,3]=>[1,5,4,6,7,2,3]=>100000 [3,7,4,8,5,2,6,1]=>[6,5,3,8,7,2,1,4]=>[6,5,3,7,2,1,4]=>000000 [8,1,2,6,5,3,4,7]=>[8,1,5,3,6,2,4,7]=>[1,5,3,6,2,4,7]=>100001 [3,4,2,8,6,7,5,1]=>[5,4,3,2,7,8,6,1]=>[5,4,3,2,7,6,1]=>000000 [3,7,8,6,1,4,2,5]=>[6,4,3,1,2,8,7,5]=>[6,4,3,1,2,7,5]=>000000 [3,6,1,5,2,7,8,4]=>[6,5,3,8,1,2,7,4]=>[6,5,3,1,2,7,4]=>000000 [7,1,6,8,3,4,2,5]=>[7,4,8,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>000000 [6,7,2,8,4,3,1,5]=>[3,4,8,7,1,6,2,5]=>[3,4,7,1,6,2,5]=>000000 [3,5,4,7,1,8,6,2]=>[7,6,3,5,4,8,1,2]=>[7,6,3,5,4,1,2]=>000000 [1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[1,4,2,5,3,6,7]=>100011 [7,1,5,4,2,3,6,8]=>[7,4,2,5,1,3,6,8]=>[7,4,2,5,1,3,6]=>000000 [7,1,3,6,4,5,2,8]=>[7,5,1,6,4,3,2,8]=>[7,5,1,6,4,3,2]=>000000 [6,1,3,8,4,5,2,7]=>[6,5,1,8,4,3,2,7]=>[6,5,1,4,3,2,7]=>000001 [2,6,5,4,1,3,7,8]=>[4,2,1,5,6,3,7,8]=>[4,2,1,5,6,3,7]=>000001 [4,1,5,7,6,3,2,8]=>[4,3,6,1,5,7,2,8]=>[4,3,6,1,5,7,2]=>000000 [5,3,8,2,7,1,6,4]=>[7,8,5,6,3,1,2,4]=>[7,5,6,3,1,2,4]=>000000 [6,3,4,2,1,8,7,5]=>[2,4,6,3,7,1,8,5]=>[2,4,6,3,7,1,5]=>000000 [4,5,1,7,6,3,2,8]=>[5,3,6,4,1,7,2,8]=>[5,3,6,4,1,7,2]=>000000 [1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,6,7]=>100011 [3,6,5,2,4,1,7,8]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7]=>000001 [3,7,1,6,2,5,8,4]=>[7,6,3,8,2,1,5,4]=>[7,6,3,2,1,5,4]=>000000 [4,6,7,2,5,1,8,3]=>[5,7,8,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>000000 [3,6,2,5,1,7,8,4]=>[5,6,3,8,2,1,7,4]=>[5,6,3,2,1,7,4]=>000000 [3,4,2,7,8,6,1,5]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>000000 [3,4,2,7,8,1,5,6]=>[8,4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>000110 [3,8,5,2,4,7,1,6]=>[7,5,3,2,8,1,4,6]=>[7,5,3,2,1,4,6]=>000000 [3,7,1,6,8,4,5,2]=>[7,5,3,8,4,1,6,2]=>[7,5,3,4,1,6,2]=>000000 [3,2,6,4,1,5,7,8]=>[4,3,2,6,1,5,7,8]=>[4,3,2,6,1,5,7]=>000001 [3,7,2,5,8,4,6,1]=>[6,7,3,8,2,5,1,4]=>[6,7,3,2,5,1,4]=>000000 [5,1,6,8,3,4,7,2]=>[5,7,8,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>000000 [3,5,1,8,6,4,7,2]=>[5,7,3,6,1,8,4,2]=>[5,7,3,6,1,4,2]=>000000 [2,6,8,7,1,3,5,4]=>[7,2,1,5,3,6,8,4]=>[7,2,1,5,3,6,4]=>000000 [3,7,6,1,4,5,2,8]=>[6,5,3,1,4,7,2,8]=>[6,5,3,1,4,7,2]=>000000 [4,1,6,2,7,5,3,8]=>[4,6,5,1,7,2,3,8]=>[4,6,5,1,7,2,3]=>000000 [4,5,3,1,2,8,6,7]=>[3,1,5,4,2,8,6,7]=>[3,1,5,4,2,6,7]=>000011 [2,4,5,3,1,8,6,7]=>[3,2,5,4,1,8,6,7]=>[3,2,5,4,1,6,7]=>000011 [5,7,6,2,3,1,4,8]=>[3,6,2,1,5,7,4,8]=>[3,6,2,1,5,7,4]=>000000 [4,1,3,7,5,2,6,8]=>[4,5,1,3,7,2,6,8]=>[4,5,1,3,7,2,6]=>000000 [4,1,6,3,2,7,5,8]=>[4,3,6,1,7,2,5,8]=>[4,3,6,1,7,2,5]=>000000 [2,7,5,4,1,3,6,8]=>[4,2,1,5,7,3,6,8]=>[4,2,1,5,7,3,6]=>000000 [7,5,4,1,3,2,6,8]=>[4,3,1,5,7,2,6,8]=>[4,3,1,5,7,2,6]=>000000 [2,4,8,5,6,3,1,7]=>[3,2,6,4,8,5,1,7]=>[3,2,6,4,5,1,7]=>000001 [2,5,7,4,1,3,6,8]=>[4,2,1,7,5,3,6,8]=>[4,2,1,7,5,3,6]=>000000 [5,7,4,1,3,2,6,8]=>[4,3,1,7,5,2,6,8]=>[4,3,1,7,5,2,6]=>000000 [2,6,8,4,5,3,1,7]=>[3,2,5,8,4,6,1,7]=>[3,2,5,4,6,1,7]=>000001 [4,5,1,6,3,2,7,8]=>[5,3,6,4,1,2,7,8]=>[5,3,6,4,1,2,7]=>000001 [5,1,6,3,2,4,7,8]=>[5,3,6,2,1,4,7,8]=>[5,3,6,2,1,4,7]=>000001 [4,2,5,1,6,3,7,8]=>[5,4,6,2,1,3,7,8]=>[5,4,6,2,1,3,7]=>000001 [5,1,6,2,4,3,7,8]=>[5,6,4,2,1,3,7,8]=>[5,6,4,2,1,3,7]=>000001 [4,3,5,1,6,2,7,8]=>[5,6,4,3,1,2,7,8]=>[5,6,4,3,1,2,7]=>000001 [6,8,5,2,7,3,1,4]=>[3,7,5,1,8,6,4,2]=>[3,7,5,1,6,4,2]=>000000 [6,1,2,4,3,7,8,5]=>[6,1,4,2,8,3,7,5]=>[6,1,4,2,3,7,5]=>000000 [8,1,5,4,2,3,6,7]=>[8,4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>000011 [7,1,2,4,6,3,8,5]=>[7,1,6,2,8,4,3,5]=>[7,1,6,2,4,3,5]=>000000 [5,3,8,4,2,7,6,1]=>[6,4,7,5,2,8,1,3]=>[6,4,7,5,2,1,3]=>000000 [2,8,5,3,1,4,7,6]=>[3,2,5,1,8,7,4,6]=>[3,2,5,1,7,4,6]=>000000 [7,3,8,6,2,1,4,5]=>[2,6,8,1,3,7,4,5]=>[2,6,1,3,7,4,5]=>000000 [5,4,2,6,3,7,1,8]=>[7,4,5,6,3,2,1,8]=>[7,4,5,6,3,2,1]=>000000 [1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[1,4,2,5,3,6,7]=>100011 [3,8,4,6,7,2,5,1]=>[5,7,3,8,2,4,6,1]=>[5,7,3,2,4,6,1]=>000000 [8,6,4,1,5,7,2,3]=>[4,6,2,8,1,7,5,3]=>[4,6,2,1,7,5,3]=>000000 [1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,5,7]=>100001 [8,3,6,2,4,5,1,7]=>[5,6,8,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>000001 [2,5,8,4,6,1,7,3]=>[6,2,7,8,5,4,1,3]=>[6,2,7,5,4,1,3]=>000000 [3,1,8,6,7,2,4,5]=>[3,7,1,2,4,8,6,5]=>[3,7,1,2,4,6,5]=>000000 [8,2,6,4,5,1,7,3]=>[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>000000 [8,4,6,1,7,2,5,3]=>[6,7,5,8,2,4,1,3]=>[6,7,5,2,4,1,3]=>000000 [1,8,4,6,7,5,2,3]=>[1,5,2,7,8,4,3,6]=>[1,5,2,7,4,3,6]=>100000 [8,1,4,6,7,5,2,3]=>[8,5,2,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>000000 [8,1,4,6,3,7,2,5]=>[8,7,6,1,3,2,4,5]=>[7,6,1,3,2,4,5]=>000000 [3,5,2,6,4,8,1,7]=>[8,5,3,6,2,4,1,7]=>[5,3,6,2,4,1,7]=>000001 [8,1,5,2,4,6,3,7]=>[8,5,6,2,1,4,3,7]=>[5,6,2,1,4,3,7]=>000001 [3,8,1,6,4,5,2,7]=>[8,5,3,6,4,1,2,7]=>[5,3,6,4,1,2,7]=>000001 [8,1,3,6,5,4,2,7]=>[8,4,1,5,6,3,2,7]=>[4,1,5,6,3,2,7]=>000001 [5,7,2,3,1,4,8,6]=>[3,7,2,1,5,8,4,6]=>[3,7,2,1,5,4,6]=>000000 [7,1,5,2,4,6,8,3]=>[7,5,8,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>000000 [4,5,8,7,3,1,2,6]=>[3,1,7,4,5,2,8,6]=>[3,1,7,4,5,2,6]=>000000 [2,8,5,1,7,4,6,3]=>[5,2,8,6,7,3,4,1]=>[5,2,6,7,3,4,1]=>000000 [7,5,4,1,3,6,8,2]=>[4,5,1,7,8,2,3,6]=>[4,5,1,7,2,3,6]=>000000 [6,7,3,2,5,8,1,4]=>[8,3,7,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>000000 [2,7,8,5,6,1,4,3]=>[6,2,4,1,8,5,7,3]=>[6,2,4,1,5,7,3]=>000000 [8,3,1,4,7,6,2,5]=>[3,8,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>000000 [1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>100000 [5,1,7,3,2,8,4,6]=>[5,3,7,8,1,4,2,6]=>[5,3,7,1,4,2,6]=>000000 [8,2,5,3,1,7,4,6]=>[3,5,8,7,1,4,2,6]=>[3,5,7,1,4,2,6]=>000000 [1,7,4,8,3,6,2,5]=>[1,6,8,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>100000 [7,1,8,5,3,4,2,6]=>[7,4,5,3,8,2,1,6]=>[7,4,5,3,2,1,6]=>000000 [8,2,4,7,6,3,1,5]=>[3,6,7,2,1,8,4,5]=>[3,6,7,2,1,4,5]=>000000 [1,2,5,7,8,3,6,4]=>[1,2,8,6,5,3,7,4]=>[1,2,6,5,3,7,4]=>110000 [4,5,1,6,7,3,8,2]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>000000 [5,2,3,7,4,1,8,6]=>[4,7,2,5,1,8,3,6]=>[4,7,2,5,1,3,6]=>000000 [2,6,1,4,3,7,8,5]=>[6,2,4,1,8,3,7,5]=>[6,2,4,1,3,7,5]=>000000 [6,8,2,3,1,5,7,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>000000 [4,3,1,5,2,7,8,6]=>[3,4,5,2,1,8,7,6]=>[3,4,5,2,1,7,6]=>000010 [7,2,1,3,5,6,8,4]=>[2,7,1,8,3,4,5,6]=>[2,7,1,3,4,5,6]=>000000 [6,2,5,1,3,4,8,7]=>[5,6,1,2,4,3,8,7]=>[5,6,1,2,4,3,7]=>000001 [5,4,6,1,3,2,7,8]=>[6,3,1,5,4,2,7,8]=>[6,3,1,5,4,2,7]=>000001 [3,6,2,4,7,8,5,1]=>[5,8,3,2,6,1,7,4]=>[5,3,2,6,1,7,4]=>000000 [8,1,3,2,6,5,7,4]=>[8,3,1,7,6,2,5,4]=>[3,1,7,6,2,5,4]=>000000 [6,4,8,2,5,7,1,3]=>[7,8,1,6,3,4,2,5]=>[7,1,6,3,4,2,5]=>000000 [2,5,4,7,6,1,3,8]=>[6,2,1,5,4,7,3,8]=>[6,2,1,5,4,7,3]=>000000 [7,2,8,1,4,6,3,5]=>[8,7,6,1,4,2,3,5]=>[7,6,1,4,2,3,5]=>000000 [4,2,3,8,1,7,5,6]=>[8,4,2,3,7,5,1,6]=>[4,2,3,7,5,1,6]=>000000 [5,2,3,7,4,6,1,8]=>[6,5,2,7,3,4,1,8]=>[6,5,2,7,3,4,1]=>000000 [6,2,7,3,4,5,1,8]=>[5,6,7,3,4,2,1,8]=>[5,6,7,3,4,2,1]=>000000 [6,2,7,1,4,5,3,8]=>[7,6,5,1,2,3,4,8]=>[7,6,5,1,2,3,4]=>000000 [6,5,8,2,7,3,4,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>000000 [8,4,1,5,2,6,7,3]=>[4,8,5,7,1,2,6,3]=>[4,5,7,1,2,6,3]=>000000 [2,8,4,6,5,1,7,3]=>[5,2,6,7,8,4,1,3]=>[5,2,6,7,4,1,3]=>000000 [4,1,7,3,8,6,2,5]=>[4,6,8,1,2,7,5,3]=>[4,6,1,2,7,5,3]=>000000 [2,7,8,6,5,3,1,4]=>[3,2,5,1,6,8,7,4]=>[3,2,5,1,6,7,4]=>000000 [1,4,7,6,3,8,2,5]=>[1,8,6,4,2,7,3,5]=>[1,6,4,2,7,3,5]=>100000 [4,2,3,5,1,8,6,7]=>[5,4,2,3,1,8,6,7]=>[5,4,2,3,1,6,7]=>000011 [2,6,7,3,5,8,1,4]=>[8,2,7,1,4,6,3,5]=>[2,7,1,4,6,3,5]=>000000 [1,4,2,7,5,8,3,6]=>[1,4,8,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>100000 [2,1,4,7,5,8,6,3]=>[2,1,6,4,8,7,3,5]=>[2,1,6,4,7,3,5]=>010000 [2,3,1,7,8,5,6,4]=>[3,2,1,6,8,5,7,4]=>[3,2,1,6,5,7,4]=>001000 [2,3,1,8,7,5,6,4]=>[3,2,1,6,7,5,8,4]=>[3,2,1,6,7,5,4]=>001000 [1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[1,7,2,5,3,6,4]=>100000 [1,3,5,8,4,6,7,2]=>[1,7,3,8,5,4,6,2]=>[1,7,3,5,4,6,2]=>100000 [3,4,5,8,2,1,6,7]=>[2,8,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>000011 [8,5,7,2,4,3,6,1]=>[6,7,4,2,8,3,5,1]=>[6,7,4,2,3,5,1]=>000000 [7,8,6,2,4,1,3,5]=>[4,6,1,2,3,8,7,5]=>[4,6,1,2,3,7,5]=>000000 [7,2,6,1,4,8,3,5]=>[6,7,8,1,4,2,5,3]=>[6,7,1,4,2,5,3]=>000000 [7,5,1,2,4,3,8,6]=>[5,1,4,2,7,8,3,6]=>[5,1,4,2,7,3,6]=>000000 [1,3,6,8,2,7,5,4]=>[1,8,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>100000 [8,1,6,3,5,2,4,7]=>[8,5,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>000001 [5,4,3,7,2,8,6,1]=>[6,8,4,5,3,7,1,2]=>[6,4,5,3,7,1,2]=>000000 [5,2,1,7,6,4,3,8]=>[2,5,4,6,1,7,3,8]=>[2,5,4,6,1,7,3]=>000000 [6,3,7,2,5,4,8,1]=>[8,7,6,5,2,3,4,1]=>[7,6,5,2,3,4,1]=>000000 [2,8,6,4,1,5,3,7]=>[4,2,6,5,3,8,1,7]=>[4,2,6,5,3,1,7]=>000001 [4,6,7,2,1,5,3,8]=>[2,7,5,4,1,6,3,8]=>[2,7,5,4,1,6,3]=>000000 [5,1,2,8,6,3,7,4]=>[5,1,6,8,2,7,4,3]=>[5,1,6,2,7,4,3]=>000000 [6,5,2,8,4,7,1,3]=>[7,5,1,6,8,4,2,3]=>[7,5,1,6,4,2,3]=>000000 [4,2,8,6,7,1,3,5]=>[7,4,1,2,3,8,6,5]=>[7,4,1,2,3,6,5]=>000000 [4,3,1,8,2,6,7,5]=>[3,4,8,2,7,1,6,5]=>[3,4,2,7,1,6,5]=>000000 [6,5,8,1,3,2,4,7]=>[8,3,1,2,6,5,4,7]=>[3,1,2,6,5,4,7]=>001001 [6,1,5,3,8,4,7,2]=>[6,7,5,8,1,3,4,2]=>[6,7,5,1,3,4,2]=>000000 [1,2,5,4,8,3,7,6]=>[1,2,8,5,4,7,3,6]=>[1,2,5,4,7,3,6]=>110000 [5,2,3,8,7,4,1,6]=>[4,7,2,5,1,3,8,6]=>[4,7,2,5,1,3,6]=>000000 [4,2,8,5,1,3,6,7]=>[5,4,1,2,8,3,6,7]=>[5,4,1,2,3,6,7]=>000011 [7,4,6,3,1,2,5,8]=>[3,1,6,7,2,4,5,8]=>[3,1,6,7,2,4,5]=>000000 [4,6,7,2,3,8,5,1]=>[5,8,2,4,7,6,1,3]=>[5,2,4,7,6,1,3]=>000000 [4,5,7,6,3,1,8,2]=>[3,6,7,4,5,8,1,2]=>[3,6,7,4,5,1,2]=>000000 [4,6,7,5,1,3,8,2]=>[5,7,1,4,8,6,2,3]=>[5,7,1,4,6,2,3]=>000000 [3,6,5,1,4,7,8,2]=>[5,6,3,1,8,2,7,4]=>[5,6,3,1,2,7,4]=>000000 [4,6,7,3,1,5,8,2]=>[3,7,8,4,1,6,2,5]=>[3,7,4,1,6,2,5]=>000000 [4,2,3,6,7,5,1,8]=>[5,4,2,3,7,6,1,8]=>[5,4,2,3,7,6,1]=>000000 [2,6,4,5,7,3,1,8]=>[3,2,7,6,4,5,1,8]=>[3,2,7,6,4,5,1]=>000000 [7,1,5,2,4,8,3,6]=>[7,5,8,2,1,4,6,3]=>[7,5,2,1,4,6,3]=>000000 [7,5,8,1,4,2,3,6]=>[8,4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>000000 [1,7,5,8,4,2,3,6]=>[1,4,2,8,7,3,5,6]=>[1,4,2,7,3,5,6]=>100000 [5,4,1,6,2,3,7,8]=>[4,5,2,6,3,1,7,8]=>[4,5,2,6,3,1,7]=>000001 [5,7,8,1,2,4,3,6]=>[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>100010 [6,5,1,2,4,3,8,7]=>[5,1,4,2,6,3,8,7]=>[5,1,4,2,6,3,7]=>000001 [2,5,1,4,6,3,8,7]=>[5,2,6,1,4,3,8,7]=>[5,2,6,1,4,3,7]=>000001 [5,8,7,3,1,2,4,6]=>[3,1,7,2,5,4,8,6]=>[3,1,7,2,5,4,6]=>000000 [2,7,8,1,4,5,3,6]=>[8,2,5,1,4,3,7,6]=>[2,5,1,4,3,7,6]=>000010 [4,3,7,1,2,6,8,5]=>[7,1,4,3,8,2,6,5]=>[7,1,4,3,2,6,5]=>000000 [4,1,2,8,7,3,6,5]=>[4,1,7,2,6,3,8,5]=>[4,1,7,2,6,3,5]=>000000 [8,7,5,1,2,4,3,6]=>[5,1,4,2,7,3,8,6]=>[5,1,4,2,7,3,6]=>000000 [6,1,2,4,3,8,7,5]=>[6,1,4,2,7,3,8,5]=>[6,1,4,2,7,3,5]=>000000 [3,7,8,1,2,4,6,5]=>[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>101000 [7,8,5,1,2,4,3,6]=>[5,1,4,2,8,3,7,6]=>[5,1,4,2,3,7,6]=>000010 [8,3,4,1,2,6,7,5]=>[4,1,8,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>000000 [2,1,4,7,3,6,8,5]=>[2,1,7,4,8,3,6,5]=>[2,1,7,4,3,6,5]=>010000 [7,3,4,1,2,6,8,5]=>[4,1,7,3,8,2,6,5]=>[4,1,7,3,2,6,5]=>000000 [8,4,3,7,2,5,6,1]=>[6,7,4,8,2,3,1,5]=>[6,7,4,2,3,1,5]=>000000 [5,4,8,6,3,7,2,1]=>[2,7,6,5,4,8,3,1]=>[2,7,6,5,4,3,1]=>000000 [1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]=>[1,2,6,5,4,3,7]=>110001 [2,4,3,1,5,8,6,7]=>[3,2,4,1,5,8,6,7]=>[3,2,4,1,5,6,7]=>000111 [3,7,8,5,1,4,6,2]=>[5,8,3,1,6,2,7,4]=>[5,3,1,6,2,7,4]=>000000 [4,6,8,5,1,3,7,2]=>[5,8,1,4,7,6,2,3]=>[5,1,4,7,6,2,3]=>000000 [3,8,6,2,7,4,5,1]=>[5,6,3,8,4,7,1,2]=>[5,6,3,4,7,1,2]=>000000 [4,5,1,6,8,3,7,2]=>[5,7,8,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>000000 [7,3,2,4,8,1,6,5]=>[8,3,7,2,6,1,4,5]=>[3,7,2,6,1,4,5]=>000000 [1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]=>[1,7,4,5,2,3,6]=>100000 [6,4,2,3,8,7,5,1]=>[5,4,2,7,6,1,8,3]=>[5,4,2,7,6,1,3]=>000000 [6,4,2,3,7,8,5,1]=>[5,4,2,8,6,1,7,3]=>[5,4,2,6,1,7,3]=>000000 [2,4,7,5,8,3,6,1]=>[6,2,8,4,7,3,5,1]=>[6,2,4,7,3,5,1]=>000000 [3,1,8,6,4,7,2,5]=>[3,7,1,6,2,8,4,5]=>[3,7,1,6,2,4,5]=>000000 [8,1,3,5,6,4,7,2]=>[8,7,1,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>000000 [8,5,2,3,1,6,7,4]=>[3,5,2,8,7,1,4,6]=>[3,5,2,7,1,4,6]=>000000 [8,5,4,2,1,6,7,3]=>[2,4,5,8,7,1,6,3]=>[2,4,5,7,1,6,3]=>000000 [8,3,2,6,4,1,7,5]=>[4,3,6,8,7,1,2,5]=>[4,3,6,7,1,2,5]=>000000 [8,5,1,3,4,6,7,2]=>[5,8,1,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>000000 [8,3,2,5,1,4,7,6]=>[5,3,8,1,2,7,4,6]=>[5,3,1,2,7,4,6]=>000000 [8,4,5,1,2,6,7,3]=>[5,1,7,8,4,3,2,6]=>[5,1,7,4,3,2,6]=>000000 [8,1,5,2,4,6,7,3]=>[8,5,7,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>000000 [2,1,8,5,4,3,7,6]=>[2,1,4,5,8,7,3,6]=>[2,1,4,5,7,3,6]=>010000 [7,2,8,5,4,1,3,6]=>[4,5,1,8,7,2,6,3]=>[4,5,1,7,2,6,3]=>000000 [3,7,5,2,8,1,4,6]=>[8,5,3,1,7,2,6,4]=>[5,3,1,7,2,6,4]=>000000 [8,2,5,4,1,3,7,6]=>[4,5,1,8,3,7,2,6]=>[4,5,1,3,7,2,6]=>000000 [1,6,8,7,5,2,3,4]=>[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,6,4]=>100000 [4,5,7,2,6,8,1,3]=>[8,7,1,4,5,3,2,6]=>[7,1,4,5,3,2,6]=>000000 [3,6,7,2,5,8,4,1]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>000000 [4,2,7,8,3,6,5,1]=>[5,4,6,2,8,1,7,3]=>[5,4,6,2,1,7,3]=>000000 [4,8,5,3,2,7,1,6]=>[7,3,5,4,8,1,2,6]=>[7,3,5,4,1,2,6]=>000000 [6,8,7,5,1,3,2,4]=>[5,3,1,2,7,6,8,4]=>[5,3,1,2,7,6,4]=>000000 [1,7,6,2,3,5,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,4,5]=>100000 [4,5,7,2,8,3,1,6]=>[3,8,7,4,5,1,6,2]=>[3,7,4,5,1,6,2]=>000000 [8,1,2,4,6,3,7,5]=>[8,1,6,2,7,4,3,5]=>[1,6,2,7,4,3,5]=>100000 [5,2,3,7,1,8,4,6]=>[7,5,2,8,3,4,1,6]=>[7,5,2,3,4,1,6]=>000000 [4,5,1,6,8,2,7,3]=>[5,8,7,4,1,6,2,3]=>[5,7,4,1,6,2,3]=>000000 [3,7,6,4,1,5,8,2]=>[4,6,3,7,1,8,5,2]=>[4,6,3,7,1,5,2]=>000000 [7,8,6,1,4,3,2,5]=>[6,3,4,1,2,8,7,5]=>[6,3,4,1,2,7,5]=>000000 [1,5,7,4,8,6,2,3]=>[1,6,2,8,5,7,3,4]=>[1,6,2,5,7,3,4]=>100000 [3,5,1,7,8,6,2,4]=>[5,6,3,2,1,8,7,4]=>[5,6,3,2,1,7,4]=>000000 [1,8,6,7,4,2,3,5]=>[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,6,5]=>100000 [5,1,7,3,6,4,2,8]=>[5,4,6,7,1,2,3,8]=>[5,4,6,7,1,2,3]=>000000 [4,7,2,6,1,8,3,5]=>[6,7,8,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>000000 [7,2,5,6,1,3,8,4]=>[6,7,1,8,3,2,5,4]=>[6,7,1,3,2,5,4]=>000000 [4,1,2,6,7,8,5,3]=>[4,1,5,2,8,6,7,3]=>[4,1,5,2,6,7,3]=>000000 [2,7,1,6,5,8,3,4]=>[7,2,8,3,6,1,5,4]=>[7,2,3,6,1,5,4]=>000000 [7,8,5,3,6,2,1,4]=>[2,6,5,1,8,3,7,4]=>[2,6,5,1,3,7,4]=>000000 [7,8,6,2,1,4,3,5]=>[2,6,4,1,3,8,7,5]=>[2,6,4,1,3,7,5]=>000000 [3,6,7,5,8,4,1,2]=>[4,1,3,8,7,6,5,2]=>[4,1,3,7,6,5,2]=>000000 [3,2,6,1,5,8,7,4]=>[6,3,2,7,1,5,8,4]=>[6,3,2,7,1,5,4]=>000000 [4,8,7,3,1,2,6,5]=>[3,1,7,4,6,2,8,5]=>[3,1,7,4,6,2,5]=>000000 [4,2,8,1,6,5,7,3]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>000000 [1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[1,5,3,2,4,6,7]=>100011 [2,8,1,5,6,4,3,7]=>[8,2,4,6,1,5,3,7]=>[2,4,6,1,5,3,7]=>000001 [1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[1,2,3,7,6,4,5]=>111000 [1,6,7,5,8,4,2,3]=>[1,4,2,8,7,6,5,3]=>[1,4,2,7,6,5,3]=>100000 [7,2,5,4,1,3,8,6]=>[4,5,1,7,3,8,2,6]=>[4,5,1,7,3,2,6]=>000000 [1,8,6,2,7,4,3,5]=>[1,6,4,8,3,7,5,2]=>[1,6,4,3,7,5,2]=>100000 [7,2,1,3,6,8,5,4]=>[2,7,1,5,8,3,6,4]=>[2,7,1,5,3,6,4]=>000000 [6,1,3,2,8,5,7,4]=>[6,3,1,7,8,2,5,4]=>[6,3,1,7,2,5,4]=>000000 [3,6,7,5,1,4,8,2]=>[5,7,3,1,8,6,2,4]=>[5,7,3,1,6,2,4]=>000000 [5,3,7,4,6,1,8,2]=>[6,8,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>000000 [6,4,7,1,5,2,8,3]=>[7,5,8,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>000000 [8,1,4,3,5,2,7,6]=>[8,5,4,1,3,7,2,6]=>[5,4,1,3,7,2,6]=>000000 [8,5,1,6,4,3,7,2]=>[5,8,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>000000 [6,7,1,4,8,5,3,2]=>[7,3,5,1,8,6,4,2]=>[7,3,5,1,6,4,2]=>000000 [7,4,3,8,6,1,5,2]=>[6,5,4,8,1,7,2,3]=>[6,5,4,1,7,2,3]=>000000 [8,2,4,5,3,1,7,6]=>[3,5,8,2,1,7,4,6]=>[3,5,2,1,7,4,6]=>000000 [1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[1,4,2,7,5,3,6]=>100000 [7,1,4,8,6,5,2,3]=>[7,5,2,1,6,8,4,3]=>[7,5,2,1,6,4,3]=>000000 [4,5,2,1,6,7,3,8]=>[2,5,7,4,1,6,3,8]=>[2,5,7,4,1,6,3]=>000000 [8,7,4,2,3,6,5,1]=>[5,4,2,6,7,1,8,3]=>[5,4,2,6,7,1,3]=>000000 [5,8,6,3,1,2,4,7]=>[3,1,6,2,5,8,4,7]=>[3,1,6,2,5,4,7]=>000001 [7,4,5,1,2,6,8,3]=>[5,1,8,7,4,3,2,6]=>[5,1,7,4,3,2,6]=>000000 [6,7,2,5,4,1,3,8]=>[4,5,1,7,3,6,2,8]=>[4,5,1,7,3,6,2]=>000000 [2,7,5,3,1,4,8,6]=>[3,2,5,1,7,8,4,6]=>[3,2,5,1,7,4,6]=>000000 [7,1,4,3,6,5,8,2]=>[7,8,4,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>000000 [5,7,4,1,2,6,8,3]=>[4,1,7,8,5,2,3,6]=>[4,1,7,5,2,3,6]=>000000 [2,8,6,7,5,3,1,4]=>[3,2,5,1,7,8,6,4]=>[3,2,5,1,7,6,4]=>000000 [8,6,2,5,3,1,4,7]=>[3,5,6,1,4,8,2,7]=>[3,5,6,1,4,2,7]=>000001 [3,6,2,5,7,8,4,1]=>[4,8,3,6,2,1,7,5]=>[4,3,6,2,1,7,5]=>000000 [3,7,2,8,1,5,6,4]=>[8,7,3,6,1,2,4,5]=>[7,3,6,1,2,4,5]=>000000 [7,3,2,8,1,4,6,5]=>[8,3,7,1,6,2,5,4]=>[3,7,1,6,2,5,4]=>000000 [6,5,8,1,4,3,7,2]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>000000 [2,4,1,7,5,6,3,8]=>[4,2,6,1,7,5,3,8]=>[4,2,6,1,7,5,3]=>000000 [6,4,5,2,7,1,3,8]=>[7,5,1,6,4,2,3,8]=>[7,5,1,6,4,2,3]=>000000 [6,4,3,7,1,8,2,5]=>[7,8,4,6,2,3,1,5]=>[7,4,6,2,3,1,5]=>000000 [7,1,5,4,2,6,3,8]=>[7,4,5,6,1,3,2,8]=>[7,4,5,6,1,3,2]=>000000 [7,8,5,3,2,6,1,4]=>[6,3,5,1,8,2,7,4]=>[6,3,5,1,2,7,4]=>000000 [5,4,2,3,1,7,8,6]=>[3,4,2,5,1,8,7,6]=>[3,4,2,5,1,7,6]=>000010 [5,8,1,4,6,2,7,3]=>[8,6,7,1,5,3,4,2]=>[6,7,1,5,3,4,2]=>000000 [6,4,7,5,8,3,1,2]=>[3,1,8,6,7,4,5,2]=>[3,1,6,7,4,5,2]=>000000 [1,2,4,8,5,7,3,6]=>[1,2,7,4,8,3,5,6]=>[1,2,7,4,3,5,6]=>110000 [7,5,6,1,4,3,8,2]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>000000 [3,7,8,2,5,1,6,4]=>[5,8,3,6,2,1,7,4]=>[5,3,6,2,1,7,4]=>000000 [8,1,3,5,6,4,2,7]=>[8,4,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>000001 [7,5,8,1,2,3,6,4]=>[8,1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>110000 [8,1,7,5,6,4,2,3]=>[8,4,2,6,7,5,1,3]=>[4,2,6,7,5,1,3]=>000000 [4,6,8,5,1,2,7,3]=>[5,1,8,4,7,6,3,2]=>[5,1,4,7,6,3,2]=>000000 [6,8,7,5,2,1,3,4]=>[2,5,1,3,7,6,8,4]=>[2,5,1,3,7,6,4]=>000000 [8,3,1,4,6,2,7,5]=>[3,8,6,1,7,2,4,5]=>[3,6,1,7,2,4,5]=>000000 [8,1,4,2,6,5,7,3]=>[8,4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]=>000000 [6,5,1,2,7,4,8,3]=>[5,1,6,8,7,3,2,4]=>[5,1,6,7,3,2,4]=>000000 [2,5,8,7,3,1,4,6]=>[3,2,7,1,5,4,8,6]=>[3,2,7,1,5,4,6]=>000000 [8,1,6,7,4,5,3,2]=>[8,3,5,7,4,1,6,2]=>[3,5,7,4,1,6,2]=>000000 [6,4,7,2,5,3,1,8]=>[3,5,7,6,1,4,2,8]=>[3,5,7,6,1,4,2]=>000000 [8,3,5,1,7,6,4,2]=>[5,4,6,7,3,8,1,2]=>[5,4,6,7,3,1,2]=>000000 [4,8,5,1,2,3,6,7]=>[5,1,2,4,8,3,6,7]=>[5,1,2,4,3,6,7]=>000011 [1,7,6,8,4,2,3,5]=>[1,4,2,8,3,7,6,5]=>[1,4,2,3,7,6,5]=>100100 [8,7,5,3,2,6,4,1]=>[4,3,6,5,7,1,8,2]=>[4,3,6,5,7,1,2]=>000000 [2,8,4,7,5,3,1,6]=>[3,2,5,7,8,1,6,4]=>[3,2,5,7,1,6,4]=>000000 [2,4,7,3,8,5,1,6]=>[5,2,8,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>000000 [4,2,7,8,6,3,1,5]=>[3,6,4,1,2,8,7,5]=>[3,6,4,1,2,7,5]=>000000 [8,2,4,6,3,1,7,5]=>[3,6,8,2,7,1,4,5]=>[3,6,2,7,1,4,5]=>000000 [8,1,2,6,5,7,3,4]=>[8,1,7,3,6,2,5,4]=>[1,7,3,6,2,5,4]=>100000 [7,1,2,6,5,8,3,4]=>[7,1,8,3,6,2,5,4]=>[7,1,3,6,2,5,4]=>000000 [3,1,7,5,2,6,8,4]=>[3,5,1,7,8,2,4,6]=>[3,5,1,7,2,4,6]=>000000 [6,7,3,1,2,4,8,5]=>[3,1,7,2,8,6,4,5]=>[3,1,7,2,6,4,5]=>000000 [7,4,3,5,8,1,6,2]=>[8,6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>000000 [4,5,8,1,7,3,2,6]=>[8,3,7,4,5,2,1,6]=>[3,7,4,5,2,1,6]=>000000 [2,8,1,6,5,7,3,4]=>[8,2,7,3,6,1,5,4]=>[2,7,3,6,1,5,4]=>000000 [7,4,8,5,3,6,1,2]=>[6,1,5,8,7,3,2,4]=>[6,1,5,7,3,2,4]=>000000 [8,4,6,5,1,3,7,2]=>[5,6,1,7,8,4,3,2]=>[5,6,1,7,4,3,2]=>000000 [2,7,3,5,4,1,8,6]=>[4,2,5,7,1,8,3,6]=>[4,2,5,7,1,3,6]=>000000 [5,7,3,4,2,8,6,1]=>[6,4,8,3,5,7,1,2]=>[6,4,3,5,7,1,2]=>000000 [5,8,3,4,2,7,6,1]=>[6,4,7,3,5,8,1,2]=>[6,4,7,3,5,1,2]=>000000 [8,3,1,4,6,7,2,5]=>[3,8,7,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>000000 [8,3,6,7,5,1,2,4]=>[5,1,7,2,8,4,6,3]=>[5,1,7,2,4,6,3]=>000000 [6,1,4,7,2,5,8,3]=>[6,7,8,1,3,4,2,5]=>[6,7,1,3,4,2,5]=>000000 [6,8,2,5,1,7,4,3]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>000000 [6,8,1,5,2,7,4,3]=>[8,5,4,7,1,6,2,3]=>[5,4,7,1,6,2,3]=>000000
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.