Identifier
Mp00068: Permutations Simion-Schmidt mapPermutations
Mp00114: Permutations connectivity setBinary words
Images
=>
[1]=>[1]=> [1,2]=>[1,2]=>1 [2,1]=>[2,1]=>0 [1,2,3]=>[1,3,2]=>10 [1,3,2]=>[1,3,2]=>10 [2,1,3]=>[2,1,3]=>01 [2,3,1]=>[2,3,1]=>00 [3,1,2]=>[3,1,2]=>00 [3,2,1]=>[3,2,1]=>00 [1,2,3,4]=>[1,4,3,2]=>100 [1,2,4,3]=>[1,4,3,2]=>100 [1,3,2,4]=>[1,4,3,2]=>100 [1,3,4,2]=>[1,4,3,2]=>100 [1,4,2,3]=>[1,4,3,2]=>100 [1,4,3,2]=>[1,4,3,2]=>100 [2,1,3,4]=>[2,1,4,3]=>010 [2,1,4,3]=>[2,1,4,3]=>010 [2,3,1,4]=>[2,4,1,3]=>000 [2,3,4,1]=>[2,4,3,1]=>000 [2,4,1,3]=>[2,4,1,3]=>000 [2,4,3,1]=>[2,4,3,1]=>000 [3,1,2,4]=>[3,1,4,2]=>000 [3,1,4,2]=>[3,1,4,2]=>000 [3,2,1,4]=>[3,2,1,4]=>001 [3,2,4,1]=>[3,2,4,1]=>000 [3,4,1,2]=>[3,4,1,2]=>000 [3,4,2,1]=>[3,4,2,1]=>000 [4,1,2,3]=>[4,1,3,2]=>000 [4,1,3,2]=>[4,1,3,2]=>000 [4,2,1,3]=>[4,2,1,3]=>000 [4,2,3,1]=>[4,2,3,1]=>000 [4,3,1,2]=>[4,3,1,2]=>000 [4,3,2,1]=>[4,3,2,1]=>000 [1,2,3,4,5]=>[1,5,4,3,2]=>1000 [1,2,3,5,4]=>[1,5,4,3,2]=>1000 [1,2,4,3,5]=>[1,5,4,3,2]=>1000 [1,2,4,5,3]=>[1,5,4,3,2]=>1000 [1,2,5,3,4]=>[1,5,4,3,2]=>1000 [1,2,5,4,3]=>[1,5,4,3,2]=>1000 [1,3,2,4,5]=>[1,5,4,3,2]=>1000 [1,3,2,5,4]=>[1,5,4,3,2]=>1000 [1,3,4,2,5]=>[1,5,4,3,2]=>1000 [1,3,4,5,2]=>[1,5,4,3,2]=>1000 [1,3,5,2,4]=>[1,5,4,3,2]=>1000 [1,3,5,4,2]=>[1,5,4,3,2]=>1000 [1,4,2,3,5]=>[1,5,4,3,2]=>1000 [1,4,2,5,3]=>[1,5,4,3,2]=>1000 [1,4,3,2,5]=>[1,5,4,3,2]=>1000 [1,4,3,5,2]=>[1,5,4,3,2]=>1000 [1,4,5,2,3]=>[1,5,4,3,2]=>1000 [1,4,5,3,2]=>[1,5,4,3,2]=>1000 [1,5,2,3,4]=>[1,5,4,3,2]=>1000 [1,5,2,4,3]=>[1,5,4,3,2]=>1000 [1,5,3,2,4]=>[1,5,4,3,2]=>1000 [1,5,3,4,2]=>[1,5,4,3,2]=>1000 [1,5,4,2,3]=>[1,5,4,3,2]=>1000 [1,5,4,3,2]=>[1,5,4,3,2]=>1000 [2,1,3,4,5]=>[2,1,5,4,3]=>0100 [2,1,3,5,4]=>[2,1,5,4,3]=>0100 [2,1,4,3,5]=>[2,1,5,4,3]=>0100 [2,1,4,5,3]=>[2,1,5,4,3]=>0100 [2,1,5,3,4]=>[2,1,5,4,3]=>0100 [2,1,5,4,3]=>[2,1,5,4,3]=>0100 [2,3,1,4,5]=>[2,5,1,4,3]=>0000 [2,3,1,5,4]=>[2,5,1,4,3]=>0000 [2,3,4,1,5]=>[2,5,4,1,3]=>0000 [2,3,4,5,1]=>[2,5,4,3,1]=>0000 [2,3,5,1,4]=>[2,5,4,1,3]=>0000 [2,3,5,4,1]=>[2,5,4,3,1]=>0000 [2,4,1,3,5]=>[2,5,1,4,3]=>0000 [2,4,1,5,3]=>[2,5,1,4,3]=>0000 [2,4,3,1,5]=>[2,5,4,1,3]=>0000 [2,4,3,5,1]=>[2,5,4,3,1]=>0000 [2,4,5,1,3]=>[2,5,4,1,3]=>0000 [2,4,5,3,1]=>[2,5,4,3,1]=>0000 [2,5,1,3,4]=>[2,5,1,4,3]=>0000 [2,5,1,4,3]=>[2,5,1,4,3]=>0000 [2,5,3,1,4]=>[2,5,4,1,3]=>0000 [2,5,3,4,1]=>[2,5,4,3,1]=>0000 [2,5,4,1,3]=>[2,5,4,1,3]=>0000 [2,5,4,3,1]=>[2,5,4,3,1]=>0000 [3,1,2,4,5]=>[3,1,5,4,2]=>0000 [3,1,2,5,4]=>[3,1,5,4,2]=>0000 [3,1,4,2,5]=>[3,1,5,4,2]=>0000 [3,1,4,5,2]=>[3,1,5,4,2]=>0000 [3,1,5,2,4]=>[3,1,5,4,2]=>0000 [3,1,5,4,2]=>[3,1,5,4,2]=>0000 [3,2,1,4,5]=>[3,2,1,5,4]=>0010 [3,2,1,5,4]=>[3,2,1,5,4]=>0010 [3,2,4,1,5]=>[3,2,5,1,4]=>0000 [3,2,4,5,1]=>[3,2,5,4,1]=>0000 [3,2,5,1,4]=>[3,2,5,1,4]=>0000 [3,2,5,4,1]=>[3,2,5,4,1]=>0000 [3,4,1,2,5]=>[3,5,1,4,2]=>0000 [3,4,1,5,2]=>[3,5,1,4,2]=>0000 [3,4,2,1,5]=>[3,5,2,1,4]=>0000 [3,4,2,5,1]=>[3,5,2,4,1]=>0000 [3,4,5,1,2]=>[3,5,4,1,2]=>0000 [3,4,5,2,1]=>[3,5,4,2,1]=>0000 [3,5,1,2,4]=>[3,5,1,4,2]=>0000 [3,5,1,4,2]=>[3,5,1,4,2]=>0000 [3,5,2,1,4]=>[3,5,2,1,4]=>0000 [3,5,2,4,1]=>[3,5,2,4,1]=>0000 [3,5,4,1,2]=>[3,5,4,1,2]=>0000 [3,5,4,2,1]=>[3,5,4,2,1]=>0000 [4,1,2,3,5]=>[4,1,5,3,2]=>0000 [4,1,2,5,3]=>[4,1,5,3,2]=>0000 [4,1,3,2,5]=>[4,1,5,3,2]=>0000 [4,1,3,5,2]=>[4,1,5,3,2]=>0000 [4,1,5,2,3]=>[4,1,5,3,2]=>0000 [4,1,5,3,2]=>[4,1,5,3,2]=>0000 [4,2,1,3,5]=>[4,2,1,5,3]=>0000 [4,2,1,5,3]=>[4,2,1,5,3]=>0000 [4,2,3,1,5]=>[4,2,5,1,3]=>0000 [4,2,3,5,1]=>[4,2,5,3,1]=>0000 [4,2,5,1,3]=>[4,2,5,1,3]=>0000 [4,2,5,3,1]=>[4,2,5,3,1]=>0000 [4,3,1,2,5]=>[4,3,1,5,2]=>0000 [4,3,1,5,2]=>[4,3,1,5,2]=>0000 [4,3,2,1,5]=>[4,3,2,1,5]=>0001 [4,3,2,5,1]=>[4,3,2,5,1]=>0000 [4,3,5,1,2]=>[4,3,5,1,2]=>0000 [4,3,5,2,1]=>[4,3,5,2,1]=>0000 [4,5,1,2,3]=>[4,5,1,3,2]=>0000 [4,5,1,3,2]=>[4,5,1,3,2]=>0000 [4,5,2,1,3]=>[4,5,2,1,3]=>0000 [4,5,2,3,1]=>[4,5,2,3,1]=>0000 [4,5,3,1,2]=>[4,5,3,1,2]=>0000 [4,5,3,2,1]=>[4,5,3,2,1]=>0000 [5,1,2,3,4]=>[5,1,4,3,2]=>0000 [5,1,2,4,3]=>[5,1,4,3,2]=>0000 [5,1,3,2,4]=>[5,1,4,3,2]=>0000 [5,1,3,4,2]=>[5,1,4,3,2]=>0000 [5,1,4,2,3]=>[5,1,4,3,2]=>0000 [5,1,4,3,2]=>[5,1,4,3,2]=>0000 [5,2,1,3,4]=>[5,2,1,4,3]=>0000 [5,2,1,4,3]=>[5,2,1,4,3]=>0000 [5,2,3,1,4]=>[5,2,4,1,3]=>0000 [5,2,3,4,1]=>[5,2,4,3,1]=>0000 [5,2,4,1,3]=>[5,2,4,1,3]=>0000 [5,2,4,3,1]=>[5,2,4,3,1]=>0000 [5,3,1,2,4]=>[5,3,1,4,2]=>0000 [5,3,1,4,2]=>[5,3,1,4,2]=>0000 [5,3,2,1,4]=>[5,3,2,1,4]=>0000 [5,3,2,4,1]=>[5,3,2,4,1]=>0000 [5,3,4,1,2]=>[5,3,4,1,2]=>0000 [5,3,4,2,1]=>[5,3,4,2,1]=>0000 [5,4,1,2,3]=>[5,4,1,3,2]=>0000 [5,4,1,3,2]=>[5,4,1,3,2]=>0000 [5,4,2,1,3]=>[5,4,2,1,3]=>0000 [5,4,2,3,1]=>[5,4,2,3,1]=>0000 [5,4,3,1,2]=>[5,4,3,1,2]=>0000 [5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,2,3,4,5,6]=>[1,6,5,4,3,2]=>10000 [1,2,3,4,6,5]=>[1,6,5,4,3,2]=>10000 [1,2,3,5,4,6]=>[1,6,5,4,3,2]=>10000 [1,2,3,5,6,4]=>[1,6,5,4,3,2]=>10000 [1,2,3,6,4,5]=>[1,6,5,4,3,2]=>10000 [1,2,3,6,5,4]=>[1,6,5,4,3,2]=>10000 [1,2,4,3,5,6]=>[1,6,5,4,3,2]=>10000 [1,2,4,3,6,5]=>[1,6,5,4,3,2]=>10000 [1,2,4,5,3,6]=>[1,6,5,4,3,2]=>10000 [1,2,4,5,6,3]=>[1,6,5,4,3,2]=>10000 [1,2,4,6,3,5]=>[1,6,5,4,3,2]=>10000 [1,2,4,6,5,3]=>[1,6,5,4,3,2]=>10000 [1,2,5,3,4,6]=>[1,6,5,4,3,2]=>10000 [1,2,5,3,6,4]=>[1,6,5,4,3,2]=>10000 [1,2,5,4,3,6]=>[1,6,5,4,3,2]=>10000 [1,2,5,4,6,3]=>[1,6,5,4,3,2]=>10000 [1,2,5,6,3,4]=>[1,6,5,4,3,2]=>10000 [1,2,5,6,4,3]=>[1,6,5,4,3,2]=>10000 [1,2,6,3,4,5]=>[1,6,5,4,3,2]=>10000 [1,2,6,3,5,4]=>[1,6,5,4,3,2]=>10000 [1,2,6,4,3,5]=>[1,6,5,4,3,2]=>10000 [1,2,6,4,5,3]=>[1,6,5,4,3,2]=>10000 [1,2,6,5,3,4]=>[1,6,5,4,3,2]=>10000 [1,2,6,5,4,3]=>[1,6,5,4,3,2]=>10000 [1,3,2,4,5,6]=>[1,6,5,4,3,2]=>10000 [1,3,2,4,6,5]=>[1,6,5,4,3,2]=>10000 [1,3,2,5,4,6]=>[1,6,5,4,3,2]=>10000 [1,3,2,5,6,4]=>[1,6,5,4,3,2]=>10000 [1,3,2,6,4,5]=>[1,6,5,4,3,2]=>10000 [1,3,2,6,5,4]=>[1,6,5,4,3,2]=>10000 [1,3,4,2,5,6]=>[1,6,5,4,3,2]=>10000 [1,3,4,2,6,5]=>[1,6,5,4,3,2]=>10000 [1,3,4,5,2,6]=>[1,6,5,4,3,2]=>10000 [1,3,4,5,6,2]=>[1,6,5,4,3,2]=>10000 [1,3,4,6,2,5]=>[1,6,5,4,3,2]=>10000 [1,3,4,6,5,2]=>[1,6,5,4,3,2]=>10000 [1,3,5,2,4,6]=>[1,6,5,4,3,2]=>10000 [1,3,5,2,6,4]=>[1,6,5,4,3,2]=>10000 [1,3,5,4,2,6]=>[1,6,5,4,3,2]=>10000 [1,3,5,4,6,2]=>[1,6,5,4,3,2]=>10000 [1,3,5,6,2,4]=>[1,6,5,4,3,2]=>10000 [1,3,5,6,4,2]=>[1,6,5,4,3,2]=>10000 [1,3,6,2,4,5]=>[1,6,5,4,3,2]=>10000 [1,3,6,2,5,4]=>[1,6,5,4,3,2]=>10000 [1,3,6,4,2,5]=>[1,6,5,4,3,2]=>10000 [1,3,6,4,5,2]=>[1,6,5,4,3,2]=>10000 [1,3,6,5,2,4]=>[1,6,5,4,3,2]=>10000 [1,3,6,5,4,2]=>[1,6,5,4,3,2]=>10000 [1,4,2,3,5,6]=>[1,6,5,4,3,2]=>10000 [1,4,2,3,6,5]=>[1,6,5,4,3,2]=>10000 [1,4,2,5,3,6]=>[1,6,5,4,3,2]=>10000 [1,4,2,5,6,3]=>[1,6,5,4,3,2]=>10000 [1,4,2,6,3,5]=>[1,6,5,4,3,2]=>10000 [1,4,2,6,5,3]=>[1,6,5,4,3,2]=>10000 [1,4,3,2,5,6]=>[1,6,5,4,3,2]=>10000 [1,4,3,2,6,5]=>[1,6,5,4,3,2]=>10000 [1,4,3,5,2,6]=>[1,6,5,4,3,2]=>10000 [1,4,3,5,6,2]=>[1,6,5,4,3,2]=>10000 [1,4,3,6,2,5]=>[1,6,5,4,3,2]=>10000 [1,4,3,6,5,2]=>[1,6,5,4,3,2]=>10000 [1,4,5,2,3,6]=>[1,6,5,4,3,2]=>10000 [1,4,5,2,6,3]=>[1,6,5,4,3,2]=>10000 [1,4,5,3,2,6]=>[1,6,5,4,3,2]=>10000 [1,4,5,3,6,2]=>[1,6,5,4,3,2]=>10000 [1,4,5,6,2,3]=>[1,6,5,4,3,2]=>10000 [1,4,5,6,3,2]=>[1,6,5,4,3,2]=>10000 [1,4,6,2,3,5]=>[1,6,5,4,3,2]=>10000 [1,4,6,2,5,3]=>[1,6,5,4,3,2]=>10000 [1,4,6,3,2,5]=>[1,6,5,4,3,2]=>10000 [1,4,6,3,5,2]=>[1,6,5,4,3,2]=>10000 [1,4,6,5,2,3]=>[1,6,5,4,3,2]=>10000 [1,4,6,5,3,2]=>[1,6,5,4,3,2]=>10000 [1,5,2,3,4,6]=>[1,6,5,4,3,2]=>10000 [1,5,2,3,6,4]=>[1,6,5,4,3,2]=>10000 [1,5,2,4,3,6]=>[1,6,5,4,3,2]=>10000 [1,5,2,4,6,3]=>[1,6,5,4,3,2]=>10000 [1,5,2,6,3,4]=>[1,6,5,4,3,2]=>10000 [1,5,2,6,4,3]=>[1,6,5,4,3,2]=>10000 [1,5,3,2,4,6]=>[1,6,5,4,3,2]=>10000 [1,5,3,2,6,4]=>[1,6,5,4,3,2]=>10000 [1,5,3,4,2,6]=>[1,6,5,4,3,2]=>10000 [1,5,3,4,6,2]=>[1,6,5,4,3,2]=>10000 [1,5,3,6,2,4]=>[1,6,5,4,3,2]=>10000 [1,5,3,6,4,2]=>[1,6,5,4,3,2]=>10000 [1,5,4,2,3,6]=>[1,6,5,4,3,2]=>10000 [1,5,4,2,6,3]=>[1,6,5,4,3,2]=>10000 [1,5,4,3,2,6]=>[1,6,5,4,3,2]=>10000 [1,5,4,3,6,2]=>[1,6,5,4,3,2]=>10000 [1,5,4,6,2,3]=>[1,6,5,4,3,2]=>10000 [1,5,4,6,3,2]=>[1,6,5,4,3,2]=>10000 [1,5,6,2,3,4]=>[1,6,5,4,3,2]=>10000 [1,5,6,2,4,3]=>[1,6,5,4,3,2]=>10000 [1,5,6,3,2,4]=>[1,6,5,4,3,2]=>10000 [1,5,6,3,4,2]=>[1,6,5,4,3,2]=>10000 [1,5,6,4,2,3]=>[1,6,5,4,3,2]=>10000 [1,5,6,4,3,2]=>[1,6,5,4,3,2]=>10000 [1,6,2,3,4,5]=>[1,6,5,4,3,2]=>10000 [1,6,2,3,5,4]=>[1,6,5,4,3,2]=>10000 [1,6,2,4,3,5]=>[1,6,5,4,3,2]=>10000 [1,6,2,4,5,3]=>[1,6,5,4,3,2]=>10000 [1,6,2,5,3,4]=>[1,6,5,4,3,2]=>10000 [1,6,2,5,4,3]=>[1,6,5,4,3,2]=>10000 [1,6,3,2,4,5]=>[1,6,5,4,3,2]=>10000 [1,6,3,2,5,4]=>[1,6,5,4,3,2]=>10000 [1,6,3,4,2,5]=>[1,6,5,4,3,2]=>10000 [1,6,3,4,5,2]=>[1,6,5,4,3,2]=>10000 [1,6,3,5,2,4]=>[1,6,5,4,3,2]=>10000 [1,6,3,5,4,2]=>[1,6,5,4,3,2]=>10000 [1,6,4,2,3,5]=>[1,6,5,4,3,2]=>10000 [1,6,4,2,5,3]=>[1,6,5,4,3,2]=>10000 [1,6,4,3,2,5]=>[1,6,5,4,3,2]=>10000 [1,6,4,3,5,2]=>[1,6,5,4,3,2]=>10000 [1,6,4,5,2,3]=>[1,6,5,4,3,2]=>10000 [1,6,4,5,3,2]=>[1,6,5,4,3,2]=>10000 [1,6,5,2,3,4]=>[1,6,5,4,3,2]=>10000 [1,6,5,2,4,3]=>[1,6,5,4,3,2]=>10000 [1,6,5,3,2,4]=>[1,6,5,4,3,2]=>10000 [1,6,5,3,4,2]=>[1,6,5,4,3,2]=>10000 [1,6,5,4,2,3]=>[1,6,5,4,3,2]=>10000 [1,6,5,4,3,2]=>[1,6,5,4,3,2]=>10000 [2,1,3,4,5,6]=>[2,1,6,5,4,3]=>01000 [2,1,3,4,6,5]=>[2,1,6,5,4,3]=>01000 [2,1,3,5,4,6]=>[2,1,6,5,4,3]=>01000 [2,1,3,5,6,4]=>[2,1,6,5,4,3]=>01000 [2,1,3,6,4,5]=>[2,1,6,5,4,3]=>01000 [2,1,3,6,5,4]=>[2,1,6,5,4,3]=>01000 [2,1,4,3,5,6]=>[2,1,6,5,4,3]=>01000 [2,1,4,3,6,5]=>[2,1,6,5,4,3]=>01000 [2,1,4,5,3,6]=>[2,1,6,5,4,3]=>01000 [2,1,4,5,6,3]=>[2,1,6,5,4,3]=>01000 [2,1,4,6,3,5]=>[2,1,6,5,4,3]=>01000 [2,1,4,6,5,3]=>[2,1,6,5,4,3]=>01000 [2,1,5,3,4,6]=>[2,1,6,5,4,3]=>01000 [2,1,5,3,6,4]=>[2,1,6,5,4,3]=>01000 [2,1,5,4,3,6]=>[2,1,6,5,4,3]=>01000 [2,1,5,4,6,3]=>[2,1,6,5,4,3]=>01000 [2,1,5,6,3,4]=>[2,1,6,5,4,3]=>01000 [2,1,5,6,4,3]=>[2,1,6,5,4,3]=>01000 [2,1,6,3,4,5]=>[2,1,6,5,4,3]=>01000 [2,1,6,3,5,4]=>[2,1,6,5,4,3]=>01000 [2,1,6,4,3,5]=>[2,1,6,5,4,3]=>01000 [2,1,6,4,5,3]=>[2,1,6,5,4,3]=>01000 [2,1,6,5,3,4]=>[2,1,6,5,4,3]=>01000 [2,1,6,5,4,3]=>[2,1,6,5,4,3]=>01000 [2,3,1,4,5,6]=>[2,6,1,5,4,3]=>00000 [2,3,1,4,6,5]=>[2,6,1,5,4,3]=>00000 [2,3,1,5,4,6]=>[2,6,1,5,4,3]=>00000 [2,3,1,5,6,4]=>[2,6,1,5,4,3]=>00000 [2,3,1,6,4,5]=>[2,6,1,5,4,3]=>00000 [2,3,1,6,5,4]=>[2,6,1,5,4,3]=>00000 [2,3,4,1,5,6]=>[2,6,5,1,4,3]=>00000 [2,3,4,1,6,5]=>[2,6,5,1,4,3]=>00000 [2,3,4,5,1,6]=>[2,6,5,4,1,3]=>00000 [2,3,4,5,6,1]=>[2,6,5,4,3,1]=>00000 [2,3,4,6,1,5]=>[2,6,5,4,1,3]=>00000 [2,3,4,6,5,1]=>[2,6,5,4,3,1]=>00000 [2,3,5,1,4,6]=>[2,6,5,1,4,3]=>00000 [2,3,5,1,6,4]=>[2,6,5,1,4,3]=>00000 [2,3,5,4,1,6]=>[2,6,5,4,1,3]=>00000 [2,3,5,4,6,1]=>[2,6,5,4,3,1]=>00000 [2,3,5,6,1,4]=>[2,6,5,4,1,3]=>00000 [2,3,5,6,4,1]=>[2,6,5,4,3,1]=>00000 [2,3,6,1,4,5]=>[2,6,5,1,4,3]=>00000 [2,3,6,1,5,4]=>[2,6,5,1,4,3]=>00000 [2,3,6,4,1,5]=>[2,6,5,4,1,3]=>00000 [2,3,6,4,5,1]=>[2,6,5,4,3,1]=>00000 [2,3,6,5,1,4]=>[2,6,5,4,1,3]=>00000 [2,3,6,5,4,1]=>[2,6,5,4,3,1]=>00000 [2,4,1,3,5,6]=>[2,6,1,5,4,3]=>00000 [2,4,1,3,6,5]=>[2,6,1,5,4,3]=>00000 [2,4,1,5,3,6]=>[2,6,1,5,4,3]=>00000 [2,4,1,5,6,3]=>[2,6,1,5,4,3]=>00000 [2,4,1,6,3,5]=>[2,6,1,5,4,3]=>00000 [2,4,1,6,5,3]=>[2,6,1,5,4,3]=>00000 [2,4,3,1,5,6]=>[2,6,5,1,4,3]=>00000 [2,4,3,1,6,5]=>[2,6,5,1,4,3]=>00000 [2,4,3,5,1,6]=>[2,6,5,4,1,3]=>00000 [2,4,3,5,6,1]=>[2,6,5,4,3,1]=>00000 [2,4,3,6,1,5]=>[2,6,5,4,1,3]=>00000 [2,4,3,6,5,1]=>[2,6,5,4,3,1]=>00000 [2,4,5,1,3,6]=>[2,6,5,1,4,3]=>00000 [2,4,5,1,6,3]=>[2,6,5,1,4,3]=>00000 [2,4,5,3,1,6]=>[2,6,5,4,1,3]=>00000 [2,4,5,3,6,1]=>[2,6,5,4,3,1]=>00000 [2,4,5,6,1,3]=>[2,6,5,4,1,3]=>00000 [2,4,5,6,3,1]=>[2,6,5,4,3,1]=>00000 [2,4,6,1,3,5]=>[2,6,5,1,4,3]=>00000 [2,4,6,1,5,3]=>[2,6,5,1,4,3]=>00000 [2,4,6,3,1,5]=>[2,6,5,4,1,3]=>00000 [2,4,6,3,5,1]=>[2,6,5,4,3,1]=>00000 [2,4,6,5,1,3]=>[2,6,5,4,1,3]=>00000 [2,4,6,5,3,1]=>[2,6,5,4,3,1]=>00000 [2,5,1,3,4,6]=>[2,6,1,5,4,3]=>00000 [2,5,1,3,6,4]=>[2,6,1,5,4,3]=>00000 [2,5,1,4,3,6]=>[2,6,1,5,4,3]=>00000 [2,5,1,4,6,3]=>[2,6,1,5,4,3]=>00000 [2,5,1,6,3,4]=>[2,6,1,5,4,3]=>00000 [2,5,1,6,4,3]=>[2,6,1,5,4,3]=>00000 [2,5,3,1,4,6]=>[2,6,5,1,4,3]=>00000 [2,5,3,1,6,4]=>[2,6,5,1,4,3]=>00000 [2,5,3,4,1,6]=>[2,6,5,4,1,3]=>00000 [2,5,3,4,6,1]=>[2,6,5,4,3,1]=>00000 [2,5,3,6,1,4]=>[2,6,5,4,1,3]=>00000 [2,5,3,6,4,1]=>[2,6,5,4,3,1]=>00000 [2,5,4,1,3,6]=>[2,6,5,1,4,3]=>00000 [2,5,4,1,6,3]=>[2,6,5,1,4,3]=>00000 [2,5,4,3,1,6]=>[2,6,5,4,1,3]=>00000 [2,5,4,3,6,1]=>[2,6,5,4,3,1]=>00000 [2,5,4,6,1,3]=>[2,6,5,4,1,3]=>00000 [2,5,4,6,3,1]=>[2,6,5,4,3,1]=>00000 [2,5,6,1,3,4]=>[2,6,5,1,4,3]=>00000 [2,5,6,1,4,3]=>[2,6,5,1,4,3]=>00000 [2,5,6,3,1,4]=>[2,6,5,4,1,3]=>00000 [2,5,6,3,4,1]=>[2,6,5,4,3,1]=>00000 [2,5,6,4,1,3]=>[2,6,5,4,1,3]=>00000 [2,5,6,4,3,1]=>[2,6,5,4,3,1]=>00000 [2,6,1,3,4,5]=>[2,6,1,5,4,3]=>00000 [2,6,1,3,5,4]=>[2,6,1,5,4,3]=>00000 [2,6,1,4,3,5]=>[2,6,1,5,4,3]=>00000 [2,6,1,4,5,3]=>[2,6,1,5,4,3]=>00000 [2,6,1,5,3,4]=>[2,6,1,5,4,3]=>00000 [2,6,1,5,4,3]=>[2,6,1,5,4,3]=>00000 [2,6,3,1,4,5]=>[2,6,5,1,4,3]=>00000 [2,6,3,1,5,4]=>[2,6,5,1,4,3]=>00000 [2,6,3,4,1,5]=>[2,6,5,4,1,3]=>00000 [2,6,3,4,5,1]=>[2,6,5,4,3,1]=>00000 [2,6,3,5,1,4]=>[2,6,5,4,1,3]=>00000 [2,6,3,5,4,1]=>[2,6,5,4,3,1]=>00000 [2,6,4,1,3,5]=>[2,6,5,1,4,3]=>00000 [2,6,4,1,5,3]=>[2,6,5,1,4,3]=>00000 [2,6,4,3,1,5]=>[2,6,5,4,1,3]=>00000 [2,6,4,3,5,1]=>[2,6,5,4,3,1]=>00000 [2,6,4,5,1,3]=>[2,6,5,4,1,3]=>00000 [2,6,4,5,3,1]=>[2,6,5,4,3,1]=>00000 [2,6,5,1,3,4]=>[2,6,5,1,4,3]=>00000 [2,6,5,1,4,3]=>[2,6,5,1,4,3]=>00000 [2,6,5,3,1,4]=>[2,6,5,4,1,3]=>00000 [2,6,5,3,4,1]=>[2,6,5,4,3,1]=>00000 [2,6,5,4,1,3]=>[2,6,5,4,1,3]=>00000 [2,6,5,4,3,1]=>[2,6,5,4,3,1]=>00000 [3,1,2,4,5,6]=>[3,1,6,5,4,2]=>00000 [3,1,2,4,6,5]=>[3,1,6,5,4,2]=>00000 [3,1,2,5,4,6]=>[3,1,6,5,4,2]=>00000 [3,1,2,5,6,4]=>[3,1,6,5,4,2]=>00000 [3,1,2,6,4,5]=>[3,1,6,5,4,2]=>00000 [3,1,2,6,5,4]=>[3,1,6,5,4,2]=>00000 [3,1,4,2,5,6]=>[3,1,6,5,4,2]=>00000 [3,1,4,2,6,5]=>[3,1,6,5,4,2]=>00000 [3,1,4,5,2,6]=>[3,1,6,5,4,2]=>00000 [3,1,4,5,6,2]=>[3,1,6,5,4,2]=>00000 [3,1,4,6,2,5]=>[3,1,6,5,4,2]=>00000 [3,1,4,6,5,2]=>[3,1,6,5,4,2]=>00000 [3,1,5,2,4,6]=>[3,1,6,5,4,2]=>00000 [3,1,5,2,6,4]=>[3,1,6,5,4,2]=>00000 [3,1,5,4,2,6]=>[3,1,6,5,4,2]=>00000 [3,1,5,4,6,2]=>[3,1,6,5,4,2]=>00000 [3,1,5,6,2,4]=>[3,1,6,5,4,2]=>00000 [3,1,5,6,4,2]=>[3,1,6,5,4,2]=>00000 [3,1,6,2,4,5]=>[3,1,6,5,4,2]=>00000 [3,1,6,2,5,4]=>[3,1,6,5,4,2]=>00000 [3,1,6,4,2,5]=>[3,1,6,5,4,2]=>00000 [3,1,6,4,5,2]=>[3,1,6,5,4,2]=>00000 [3,1,6,5,2,4]=>[3,1,6,5,4,2]=>00000 [3,1,6,5,4,2]=>[3,1,6,5,4,2]=>00000 [3,2,1,4,5,6]=>[3,2,1,6,5,4]=>00100 [3,2,1,4,6,5]=>[3,2,1,6,5,4]=>00100 [3,2,1,5,4,6]=>[3,2,1,6,5,4]=>00100 [3,2,1,5,6,4]=>[3,2,1,6,5,4]=>00100 [3,2,1,6,4,5]=>[3,2,1,6,5,4]=>00100 [3,2,1,6,5,4]=>[3,2,1,6,5,4]=>00100 [3,2,4,1,5,6]=>[3,2,6,1,5,4]=>00000 [3,2,4,1,6,5]=>[3,2,6,1,5,4]=>00000 [3,2,4,5,1,6]=>[3,2,6,5,1,4]=>00000 [3,2,4,5,6,1]=>[3,2,6,5,4,1]=>00000 [3,2,4,6,1,5]=>[3,2,6,5,1,4]=>00000 [3,2,4,6,5,1]=>[3,2,6,5,4,1]=>00000 [3,2,5,1,4,6]=>[3,2,6,1,5,4]=>00000 [3,2,5,1,6,4]=>[3,2,6,1,5,4]=>00000 [3,2,5,4,1,6]=>[3,2,6,5,1,4]=>00000 [3,2,5,4,6,1]=>[3,2,6,5,4,1]=>00000 [3,2,5,6,1,4]=>[3,2,6,5,1,4]=>00000 [3,2,5,6,4,1]=>[3,2,6,5,4,1]=>00000 [3,2,6,1,4,5]=>[3,2,6,1,5,4]=>00000 [3,2,6,1,5,4]=>[3,2,6,1,5,4]=>00000 [3,2,6,4,1,5]=>[3,2,6,5,1,4]=>00000 [3,2,6,4,5,1]=>[3,2,6,5,4,1]=>00000 [3,2,6,5,1,4]=>[3,2,6,5,1,4]=>00000 [3,2,6,5,4,1]=>[3,2,6,5,4,1]=>00000 [3,4,1,2,5,6]=>[3,6,1,5,4,2]=>00000 [3,4,1,2,6,5]=>[3,6,1,5,4,2]=>00000 [3,4,1,5,2,6]=>[3,6,1,5,4,2]=>00000 [3,4,1,5,6,2]=>[3,6,1,5,4,2]=>00000 [3,4,1,6,2,5]=>[3,6,1,5,4,2]=>00000 [3,4,1,6,5,2]=>[3,6,1,5,4,2]=>00000 [3,4,2,1,5,6]=>[3,6,2,1,5,4]=>00000 [3,4,2,1,6,5]=>[3,6,2,1,5,4]=>00000 [3,4,2,5,1,6]=>[3,6,2,5,1,4]=>00000 [3,4,2,5,6,1]=>[3,6,2,5,4,1]=>00000 [3,4,2,6,1,5]=>[3,6,2,5,1,4]=>00000 [3,4,2,6,5,1]=>[3,6,2,5,4,1]=>00000 [3,4,5,1,2,6]=>[3,6,5,1,4,2]=>00000 [3,4,5,1,6,2]=>[3,6,5,1,4,2]=>00000 [3,4,5,2,1,6]=>[3,6,5,2,1,4]=>00000 [3,4,5,2,6,1]=>[3,6,5,2,4,1]=>00000 [3,4,5,6,1,2]=>[3,6,5,4,1,2]=>00000 [3,4,5,6,2,1]=>[3,6,5,4,2,1]=>00000 [3,4,6,1,2,5]=>[3,6,5,1,4,2]=>00000 [3,4,6,1,5,2]=>[3,6,5,1,4,2]=>00000 [3,4,6,2,1,5]=>[3,6,5,2,1,4]=>00000 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[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>00000 [6,5,4,1,3,2]=>[6,5,4,1,3,2]=>00000 [6,5,4,2,1,3]=>[6,5,4,2,1,3]=>00000 [6,5,4,2,3,1]=>[6,5,4,2,3,1]=>00000 [6,5,4,3,1,2]=>[6,5,4,3,1,2]=>00000 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,4,6,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,4,7,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,5,6,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,6,4,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,6,4,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,6,7,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,6,7,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,7,4,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,7,4,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,7,5,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,7,5,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,7,6,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,3,6,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,5,3,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,5,3,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,5,6,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,5,6,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,5,7,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,5,7,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,6,3,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,6,5,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,6,5,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,6,7,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,6,7,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,7,3,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,7,3,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,7,5,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,7,5,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,7,6,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,4,7,6,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,3,4,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,3,4,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,3,6,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,3,6,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,3,7,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,3,7,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,4,3,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,4,6,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,4,6,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,4,7,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,4,7,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,6,3,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,6,3,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,6,4,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,6,4,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,6,7,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,6,7,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,7,3,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,7,3,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,7,4,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,7,4,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,7,6,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,5,7,6,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,3,4,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,3,4,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,3,5,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,3,5,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,3,7,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,3,7,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,4,3,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,4,3,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,4,5,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,4,5,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,4,7,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,4,7,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,5,3,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,5,3,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,5,4,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,5,4,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,5,7,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,5,7,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,7,3,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,7,3,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,7,4,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,7,4,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,7,5,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,6,7,5,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,3,4,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,3,4,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,3,5,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,3,5,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,3,6,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,3,6,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,4,3,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,4,3,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,4,5,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,4,5,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,4,6,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,4,6,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,5,3,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,5,3,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,5,4,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,5,4,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,5,6,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,5,6,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,6,3,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,6,3,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,6,4,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,6,4,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,6,5,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,2,7,6,5,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,4,6,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,4,7,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,4,7,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,5,4,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,5,6,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,5,6,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,5,7,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,5,7,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,6,4,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,6,5,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,6,7,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,6,7,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,7,4,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,7,4,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,7,5,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,7,5,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,7,6,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,2,7,6,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,2,5,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,2,5,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,2,6,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,2,6,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,2,7,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,2,7,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,5,2,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,5,2,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,5,6,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,5,6,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,5,7,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,5,7,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,6,2,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,6,2,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,6,5,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,6,5,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,6,7,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,6,7,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,7,2,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,7,2,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,7,5,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,7,5,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,7,6,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,4,7,6,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,2,4,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,2,6,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,2,6,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,2,7,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,2,7,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,4,2,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,4,2,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,4,6,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,4,6,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,4,7,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,4,7,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,6,2,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,6,2,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,6,4,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,6,4,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,6,7,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,6,7,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,7,2,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,7,4,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,7,4,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,7,6,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,2,4,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,2,4,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,2,5,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,2,5,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,2,7,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,2,7,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,4,2,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,4,2,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,4,5,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,4,5,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,4,7,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,4,7,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,5,2,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,5,4,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,5,4,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,5,7,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,5,7,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,7,2,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,7,2,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,7,4,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,7,5,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,2,4,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,2,4,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,2,5,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,2,5,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,2,6,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,2,6,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,4,2,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,4,2,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,4,5,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,4,5,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,4,6,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,4,6,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,5,2,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,5,2,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,5,4,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,5,6,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,6,2,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,6,2,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,6,4,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,6,5,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,3,5,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,3,5,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,3,6,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,3,6,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,3,7,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,3,7,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,5,3,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,5,3,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,5,6,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,5,6,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,5,7,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,5,7,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,6,3,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,6,3,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,6,5,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,6,5,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,6,7,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,6,7,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,7,3,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,7,3,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,7,5,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,7,5,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,7,6,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,2,7,6,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,2,5,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,2,6,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,2,7,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,2,7,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,5,2,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,5,2,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,5,6,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,5,6,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,5,7,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,5,7,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,6,2,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,6,2,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,6,5,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,6,5,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,6,7,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,6,7,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,7,2,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,7,2,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,7,5,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,7,5,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,7,6,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,3,7,6,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,2,3,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,2,3,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,2,6,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,2,6,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,2,7,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,2,7,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,3,2,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,3,2,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,3,6,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,3,6,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,3,7,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,3,7,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,6,2,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,6,2,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,6,3,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,6,3,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,6,7,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,6,7,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,7,2,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,7,2,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,7,3,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,7,3,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,2,3,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,2,3,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,2,5,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,2,5,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,2,7,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,2,7,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,3,2,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,3,5,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,3,5,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,3,7,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,3,7,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,5,2,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,5,2,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,5,3,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,5,3,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,5,7,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,5,7,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,7,2,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,7,3,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,2,3,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,2,3,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,2,5,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,2,5,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,2,6,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,2,6,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,3,2,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,3,2,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,3,5,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,3,5,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,3,6,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,3,6,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,5,2,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,5,3,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,6,2,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,6,3,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,3,4,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,3,4,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,3,6,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,3,6,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,3,7,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,3,7,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,4,3,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,4,3,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,4,6,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,4,6,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,4,7,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,4,7,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,6,3,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,6,3,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,6,4,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,6,4,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,6,7,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,6,7,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,7,3,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,7,3,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,7,4,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,7,4,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,7,6,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,2,7,6,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,2,4,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,2,4,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,2,6,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,2,6,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,2,7,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,2,7,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,4,2,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,4,2,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,4,6,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,4,6,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,4,7,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,4,7,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,6,2,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,6,2,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,6,4,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,6,4,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,6,7,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,6,7,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,7,2,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,7,2,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,7,4,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,7,4,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,2,3,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,2,3,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,2,6,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,2,6,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,2,7,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,2,7,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,3,2,7,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,3,6,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,3,6,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,3,7,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,3,7,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,6,2,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,6,2,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,6,3,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,6,7,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,6,7,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,7,2,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,7,2,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,7,3,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,7,3,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,2,3,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,2,3,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,2,4,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,2,4,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,2,7,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,2,7,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,3,2,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,3,2,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,3,4,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,3,4,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,3,7,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,3,7,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,4,2,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,4,2,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,4,3,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,4,3,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,4,7,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,4,7,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,2,3,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,2,3,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,2,4,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,2,4,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,2,6,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,2,6,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,3,2,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,3,4,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,4,2,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,4,3,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,3,4,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,3,4,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,3,5,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,3,5,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,3,7,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,3,7,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,4,3,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,4,3,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,4,5,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,4,5,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,4,7,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,4,7,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,5,3,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,5,3,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,5,4,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,5,4,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,5,7,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,5,7,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,7,3,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,7,3,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,7,4,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,7,4,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,7,5,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,2,7,5,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,2,4,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,2,4,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,2,5,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,2,5,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,2,7,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,2,7,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,4,2,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,4,2,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,4,5,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,4,5,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,4,7,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,4,7,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,5,2,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,5,2,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,5,4,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,5,7,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,5,7,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,7,2,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,7,2,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,2,3,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,2,3,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,2,5,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,2,5,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,2,7,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,2,7,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,3,2,5,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,3,2,7,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,3,5,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,3,5,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,3,7,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,3,7,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,5,2,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,5,2,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,5,3,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,5,3,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,5,7,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,5,7,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,2,3,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,2,3,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,2,4,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,2,4,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,2,7,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,2,7,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,3,2,4,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,3,2,7,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,3,4,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,3,4,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,3,7,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,3,7,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,4,2,3,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,4,2,7,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,4,3,7,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,4,7,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,4,7,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,2,3,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,2,3,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,2,4,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,2,4,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,2,5,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,2,5,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,3,4,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,3,5,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,3,5,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,3,6,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,3,6,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,4,3,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,4,3,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,4,5,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,4,5,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,4,6,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,4,6,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,5,3,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,5,3,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,5,4,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,5,4,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,5,6,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,5,6,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,6,3,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,6,3,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,6,4,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,6,4,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,6,5,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,2,6,5,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,2,4,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,2,4,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,2,5,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,2,5,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,2,6,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,2,6,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,4,2,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,4,2,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,4,5,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,4,5,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,4,6,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,4,6,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,5,2,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,5,2,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,6,2,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,6,2,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,2,3,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,2,3,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,2,5,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,2,5,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,2,6,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,2,6,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,3,2,5,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,3,2,6,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,3,5,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,3,5,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,3,6,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,3,6,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,2,3,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,2,3,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,2,4,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,2,4,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,2,6,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,2,6,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,2,3,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,2,3,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,2,4,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,2,4,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,2,5,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,2,5,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>100000 [1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>100000 [2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,4,5,7,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,4,6,5,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,4,6,7,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,4,7,5,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,4,7,6,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,5,4,6,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,5,4,7,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,5,6,4,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,5,6,7,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,5,7,4,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,5,7,6,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,6,4,5,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,6,4,7,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,6,5,7,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,6,7,4,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,6,7,5,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,7,4,5,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,7,4,6,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,7,5,4,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,7,6,4,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,3,5,6,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,3,5,7,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,3,6,5,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,3,6,7,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,3,7,5,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,3,7,6,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,5,3,6,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,5,3,7,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,5,6,3,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,5,7,3,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,5,7,6,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,6,3,5,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,6,3,7,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,6,5,3,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,6,5,7,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,6,7,3,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,7,3,5,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,7,3,6,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,7,5,3,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,7,6,3,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,3,4,6,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,3,4,7,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,3,6,4,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,3,6,7,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,3,7,4,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,3,7,6,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,4,6,3,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,4,6,7,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,4,7,3,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,4,7,6,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,6,3,4,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,6,3,7,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,6,4,3,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,7,3,4,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,7,4,3,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,3,4,5,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,3,4,7,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,3,5,4,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,3,5,7,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,3,7,4,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,3,7,5,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,4,3,5,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,4,3,7,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,4,5,7,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,5,3,4,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,5,3,7,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,5,4,7,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,3,4,6,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,3,5,4,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,3,5,6,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,3,6,4,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,3,6,5,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,4,3,5,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,4,3,6,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>010000 [2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>010000 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[7,6,4,5,1,3,2]=>[7,6,4,5,1,3,2]=>000000 [7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>000000 [7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>000000 [7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>000000 [7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>000000 [7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>000000 [7,6,5,1,2,4,3]=>[7,6,5,1,4,3,2]=>000000 [7,6,5,1,3,2,4]=>[7,6,5,1,4,3,2]=>000000 [7,6,5,1,3,4,2]=>[7,6,5,1,4,3,2]=>000000 [7,6,5,1,4,2,3]=>[7,6,5,1,4,3,2]=>000000 [7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>000000 [7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>000000 [7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>000000 [7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>000000 [7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>000000 [7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>000000 [7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>000000 [7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>000000 [7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>000000 [7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>000000 [7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>000000 [7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>000000 [7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>000000 [7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>000000 [7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>000000 [7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>000000 [7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>000000 [7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>000000 [7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>0000000 [8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>0000000 [8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>0000000 [8,5,6,7,2,3,4,1]=>[8,5,7,6,2,4,3,1]=>0000000 [7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>0000000 [7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>0000000 [7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>0000000 [6,7,8,5,4,1,2,3]=>[6,8,7,5,4,1,3,2]=>0000000 [7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>0000000 [7,5,6,8,2,3,1,4]=>[7,5,8,6,2,4,1,3]=>0000000 [6,7,5,8,3,1,2,4]=>[6,8,5,7,3,1,4,2]=>0000000 [6,5,7,8,2,1,3,4]=>[6,5,8,7,2,1,4,3]=>0000000 [5,6,7,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>0000000 [2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>0100000 [4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>0001000 [2,1,4,3,8,7,6,5]=>[2,1,8,7,6,5,4,3]=>0100000 [6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>0000010 [2,1,6,5,4,3,8,7]=>[2,1,8,7,6,5,4,3]=>0100000 [4,3,2,1,6,5,8,7]=>[4,3,2,1,8,7,6,5]=>0001000 [2,1,4,3,6,5,8,7]=>[2,1,8,7,6,5,4,3]=>0100000 [2,1,3,4,5,6,8,7]=>[2,1,8,7,6,5,4,3]=>0100000 [2,1,8,5,4,7,6,3]=>[2,1,8,7,6,5,4,3]=>0100000 [6,3,2,5,4,1,8,7]=>[6,3,2,8,7,1,5,4]=>0000000 [8,3,2,5,4,7,6,1]=>[8,3,2,7,6,5,4,1]=>0000000 [8,3,2,7,6,5,4,1]=>[8,3,2,7,6,5,4,1]=>0000000 [8,5,4,3,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>0000000 [8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>0000000 [2,1,4,3,7,8,5,6]=>[2,1,8,7,6,5,4,3]=>0100000 [2,1,5,6,3,4,8,7]=>[2,1,8,7,6,5,4,3]=>0100000 [2,1,5,7,3,8,4,6]=>[2,1,8,7,6,5,4,3]=>0100000 [2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>0100000 [3,4,1,2,6,5,8,7]=>[3,8,1,7,6,5,4,2]=>0000000 [3,4,1,2,7,8,5,6]=>[3,8,1,7,6,5,4,2]=>0000000 [3,5,1,6,2,4,8,7]=>[3,8,1,7,6,5,4,2]=>0000000 [3,5,1,7,2,8,4,6]=>[3,8,1,7,6,5,4,2]=>0000000 [3,6,1,7,8,2,4,5]=>[3,8,1,7,6,5,4,2]=>0000000 [4,5,6,1,2,3,8,7]=>[4,8,7,1,6,5,3,2]=>0000000 [4,5,7,1,2,8,3,6]=>[4,8,7,1,6,5,3,2]=>0000000 [4,6,7,1,8,2,3,5]=>[4,8,7,1,6,5,3,2]=>0000000 [5,3,2,6,1,4,8,7]=>[5,3,2,8,1,7,6,4]=>0000000 [7,3,2,5,4,8,1,6]=>[7,3,2,8,6,5,1,4]=>0000000 [8,4,5,2,3,7,6,1]=>[8,4,7,2,6,5,3,1]=>0000000 [7,4,5,2,3,8,1,6]=>[7,4,8,2,6,5,1,3]=>0000000 [6,4,5,2,3,1,8,7]=>[6,4,8,2,7,1,5,3]=>0000000 [5,4,6,2,1,3,8,7]=>[5,4,8,2,1,7,6,3]=>0000000 [3,6,1,5,4,2,8,7]=>[3,8,1,7,6,5,4,2]=>0000000 [4,6,5,1,3,2,8,7]=>[4,8,7,1,6,5,3,2]=>0000000 [5,6,4,3,1,2,8,7]=>[5,8,4,3,1,7,6,2]=>0000000 [7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6]=>0000000 [8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1]=>0000000 [7,6,4,3,8,2,1,5]=>[7,6,4,3,8,2,1,5]=>0000000 [6,7,4,3,8,1,2,5]=>[6,8,4,3,7,1,5,2]=>0000000 [5,7,4,3,1,8,2,6]=>[5,8,4,3,1,7,6,2]=>0000000 [4,7,5,1,3,8,2,6]=>[4,8,7,1,6,5,3,2]=>0000000 [3,7,1,5,4,8,2,6]=>[3,8,1,7,6,5,4,2]=>0000000 [2,1,7,5,4,8,3,6]=>[2,1,8,7,6,5,4,3]=>0100000 [3,8,1,5,4,7,6,2]=>[3,8,1,7,6,5,4,2]=>0000000 [4,8,5,1,3,7,6,2]=>[4,8,7,1,6,5,3,2]=>0000000 [5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2]=>0000000 [6,8,4,3,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>0000000 [7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>0000000 [6,8,5,7,3,1,4,2]=>[6,8,5,7,3,1,4,2]=>0000000 [5,8,6,7,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>0000000 [4,8,6,1,7,3,5,2]=>[4,8,7,1,6,5,3,2]=>0000000 [3,8,1,6,7,4,5,2]=>[3,8,1,7,6,5,4,2]=>0000000 [2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>0100000 [2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>0100000 [3,7,1,6,8,4,2,5]=>[3,8,1,7,6,5,4,2]=>0000000 [4,7,6,1,8,3,2,5]=>[4,8,7,1,6,5,3,2]=>0000000 [5,7,6,8,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>0000000 [5,4,7,2,1,8,3,6]=>[5,4,8,2,1,7,6,3]=>0000000 [6,4,7,2,8,1,3,5]=>[6,4,8,2,7,1,5,3]=>0000000 [7,4,6,2,8,3,1,5]=>[7,4,8,2,6,5,1,3]=>0000000 [8,4,6,2,7,3,5,1]=>[8,4,7,2,6,5,3,1]=>0000000 [8,3,2,6,7,4,5,1]=>[8,3,2,7,6,5,4,1]=>0000000 [7,3,2,6,8,4,1,5]=>[7,3,2,8,6,5,1,4]=>0000000 [6,3,2,7,8,1,4,5]=>[6,3,2,8,7,1,5,4]=>0000000 [5,3,2,7,1,8,4,6]=>[5,3,2,8,1,7,6,4]=>0000000 [4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>0001000 [3,4,1,2,8,7,6,5]=>[3,8,1,7,6,5,4,2]=>0000000 [5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>0000000 [6,3,2,8,7,1,5,4]=>[6,3,2,8,7,1,5,4]=>0000000 [7,3,2,8,6,5,1,4]=>[7,3,2,8,6,5,1,4]=>0000000 [8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>0000000 [7,4,8,2,6,5,1,3]=>[7,4,8,2,6,5,1,3]=>0000000 [6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>0000000 [5,4,8,2,1,7,6,3]=>[5,4,8,2,1,7,6,3]=>0000000 [4,5,8,1,2,7,6,3]=>[4,8,7,1,6,5,3,2]=>0000000 [3,5,1,8,2,7,6,4]=>[3,8,1,7,6,5,4,2]=>0000000 [2,1,5,8,3,7,6,4]=>[2,1,8,7,6,5,4,3]=>0100000 [2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>0100000 [3,6,1,8,7,2,5,4]=>[3,8,1,7,6,5,4,2]=>0000000 [4,6,8,1,7,2,5,3]=>[4,8,7,1,6,5,3,2]=>0000000 [5,6,8,7,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>0000000 [6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>0000000 [7,5,8,6,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>0000000 [8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>0000000 [5,7,8,6,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>0000000 [4,7,8,1,6,5,2,3]=>[4,8,7,1,6,5,3,2]=>0000000 [3,7,1,8,6,5,2,4]=>[3,8,1,7,6,5,4,2]=>0000000 [2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>0100000 [3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>0000000 [4,8,7,1,6,5,3,2]=>[4,8,7,1,6,5,3,2]=>0000000 [5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>0000000 [6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>0000000 [6,5,8,7,3,4,1,2]=>[6,5,8,7,3,4,1,2]=>0000000 [5,4,3,8,7,6,1,2]=>[5,4,3,8,7,6,1,2]=>0000000 [6,4,8,3,7,5,1,2]=>[6,4,8,3,7,5,1,2]=>0000000 [6,3,8,2,1,7,5,4]=>[6,3,8,2,1,7,5,4]=>0000000 [7,8,3,2,1,6,5,4]=>[7,8,3,2,1,6,5,4]=>0000000 [7,8,4,2,6,1,5,3]=>[7,8,4,2,6,1,5,3]=>0000000 [5,4,2,8,7,1,6,3]=>[5,4,2,8,7,1,6,3]=>0000000 [7,8,5,6,2,1,4,3]=>[7,8,5,6,2,1,4,3]=>0000000
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
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.