Identifier
Mp00069: Permutations complementPermutations
Mp00114: Permutations connectivity setBinary words
Mp00104: Binary words reverseBinary words
Images
=>
[1]=>[1]=>=> [1,2]=>[2,1]=>0=>0 [2,1]=>[1,2]=>1=>1 [1,2,3]=>[3,2,1]=>00=>00 [1,3,2]=>[3,1,2]=>00=>00 [2,1,3]=>[2,3,1]=>00=>00 [2,3,1]=>[2,1,3]=>01=>10 [3,1,2]=>[1,3,2]=>10=>01 [3,2,1]=>[1,2,3]=>11=>11 [1,2,3,4]=>[4,3,2,1]=>000=>000 [1,2,4,3]=>[4,3,1,2]=>000=>000 [1,3,2,4]=>[4,2,3,1]=>000=>000 [1,3,4,2]=>[4,2,1,3]=>000=>000 [1,4,2,3]=>[4,1,3,2]=>000=>000 [1,4,3,2]=>[4,1,2,3]=>000=>000 [2,1,3,4]=>[3,4,2,1]=>000=>000 [2,1,4,3]=>[3,4,1,2]=>000=>000 [2,3,1,4]=>[3,2,4,1]=>000=>000 [2,3,4,1]=>[3,2,1,4]=>001=>100 [2,4,1,3]=>[3,1,4,2]=>000=>000 [2,4,3,1]=>[3,1,2,4]=>001=>100 [3,1,2,4]=>[2,4,3,1]=>000=>000 [3,1,4,2]=>[2,4,1,3]=>000=>000 [3,2,1,4]=>[2,3,4,1]=>000=>000 [3,2,4,1]=>[2,3,1,4]=>001=>100 [3,4,1,2]=>[2,1,4,3]=>010=>010 [3,4,2,1]=>[2,1,3,4]=>011=>110 [4,1,2,3]=>[1,4,3,2]=>100=>001 [4,1,3,2]=>[1,4,2,3]=>100=>001 [4,2,1,3]=>[1,3,4,2]=>100=>001 [4,2,3,1]=>[1,3,2,4]=>101=>101 [4,3,1,2]=>[1,2,4,3]=>110=>011 [4,3,2,1]=>[1,2,3,4]=>111=>111 [1,2,3,4,5]=>[5,4,3,2,1]=>0000=>0000 [1,2,3,5,4]=>[5,4,3,1,2]=>0000=>0000 [1,2,4,3,5]=>[5,4,2,3,1]=>0000=>0000 [1,2,4,5,3]=>[5,4,2,1,3]=>0000=>0000 [1,2,5,3,4]=>[5,4,1,3,2]=>0000=>0000 [1,2,5,4,3]=>[5,4,1,2,3]=>0000=>0000 [1,3,2,4,5]=>[5,3,4,2,1]=>0000=>0000 [1,3,2,5,4]=>[5,3,4,1,2]=>0000=>0000 [1,3,4,2,5]=>[5,3,2,4,1]=>0000=>0000 [1,3,4,5,2]=>[5,3,2,1,4]=>0000=>0000 [1,3,5,2,4]=>[5,3,1,4,2]=>0000=>0000 [1,3,5,4,2]=>[5,3,1,2,4]=>0000=>0000 [1,4,2,3,5]=>[5,2,4,3,1]=>0000=>0000 [1,4,2,5,3]=>[5,2,4,1,3]=>0000=>0000 [1,4,3,2,5]=>[5,2,3,4,1]=>0000=>0000 [1,4,3,5,2]=>[5,2,3,1,4]=>0000=>0000 [1,4,5,2,3]=>[5,2,1,4,3]=>0000=>0000 [1,4,5,3,2]=>[5,2,1,3,4]=>0000=>0000 [1,5,2,3,4]=>[5,1,4,3,2]=>0000=>0000 [1,5,2,4,3]=>[5,1,4,2,3]=>0000=>0000 [1,5,3,2,4]=>[5,1,3,4,2]=>0000=>0000 [1,5,3,4,2]=>[5,1,3,2,4]=>0000=>0000 [1,5,4,2,3]=>[5,1,2,4,3]=>0000=>0000 [1,5,4,3,2]=>[5,1,2,3,4]=>0000=>0000 [2,1,3,4,5]=>[4,5,3,2,1]=>0000=>0000 [2,1,3,5,4]=>[4,5,3,1,2]=>0000=>0000 [2,1,4,3,5]=>[4,5,2,3,1]=>0000=>0000 [2,1,4,5,3]=>[4,5,2,1,3]=>0000=>0000 [2,1,5,3,4]=>[4,5,1,3,2]=>0000=>0000 [2,1,5,4,3]=>[4,5,1,2,3]=>0000=>0000 [2,3,1,4,5]=>[4,3,5,2,1]=>0000=>0000 [2,3,1,5,4]=>[4,3,5,1,2]=>0000=>0000 [2,3,4,1,5]=>[4,3,2,5,1]=>0000=>0000 [2,3,4,5,1]=>[4,3,2,1,5]=>0001=>1000 [2,3,5,1,4]=>[4,3,1,5,2]=>0000=>0000 [2,3,5,4,1]=>[4,3,1,2,5]=>0001=>1000 [2,4,1,3,5]=>[4,2,5,3,1]=>0000=>0000 [2,4,1,5,3]=>[4,2,5,1,3]=>0000=>0000 [2,4,3,1,5]=>[4,2,3,5,1]=>0000=>0000 [2,4,3,5,1]=>[4,2,3,1,5]=>0001=>1000 [2,4,5,1,3]=>[4,2,1,5,3]=>0000=>0000 [2,4,5,3,1]=>[4,2,1,3,5]=>0001=>1000 [2,5,1,3,4]=>[4,1,5,3,2]=>0000=>0000 [2,5,1,4,3]=>[4,1,5,2,3]=>0000=>0000 [2,5,3,1,4]=>[4,1,3,5,2]=>0000=>0000 [2,5,3,4,1]=>[4,1,3,2,5]=>0001=>1000 [2,5,4,1,3]=>[4,1,2,5,3]=>0000=>0000 [2,5,4,3,1]=>[4,1,2,3,5]=>0001=>1000 [3,1,2,4,5]=>[3,5,4,2,1]=>0000=>0000 [3,1,2,5,4]=>[3,5,4,1,2]=>0000=>0000 [3,1,4,2,5]=>[3,5,2,4,1]=>0000=>0000 [3,1,4,5,2]=>[3,5,2,1,4]=>0000=>0000 [3,1,5,2,4]=>[3,5,1,4,2]=>0000=>0000 [3,1,5,4,2]=>[3,5,1,2,4]=>0000=>0000 [3,2,1,4,5]=>[3,4,5,2,1]=>0000=>0000 [3,2,1,5,4]=>[3,4,5,1,2]=>0000=>0000 [3,2,4,1,5]=>[3,4,2,5,1]=>0000=>0000 [3,2,4,5,1]=>[3,4,2,1,5]=>0001=>1000 [3,2,5,1,4]=>[3,4,1,5,2]=>0000=>0000 [3,2,5,4,1]=>[3,4,1,2,5]=>0001=>1000 [3,4,1,2,5]=>[3,2,5,4,1]=>0000=>0000 [3,4,1,5,2]=>[3,2,5,1,4]=>0000=>0000 [3,4,2,1,5]=>[3,2,4,5,1]=>0000=>0000 [3,4,2,5,1]=>[3,2,4,1,5]=>0001=>1000 [3,4,5,1,2]=>[3,2,1,5,4]=>0010=>0100 [3,4,5,2,1]=>[3,2,1,4,5]=>0011=>1100 [3,5,1,2,4]=>[3,1,5,4,2]=>0000=>0000 [3,5,1,4,2]=>[3,1,5,2,4]=>0000=>0000 [3,5,2,1,4]=>[3,1,4,5,2]=>0000=>0000 [3,5,2,4,1]=>[3,1,4,2,5]=>0001=>1000 [3,5,4,1,2]=>[3,1,2,5,4]=>0010=>0100 [3,5,4,2,1]=>[3,1,2,4,5]=>0011=>1100 [4,1,2,3,5]=>[2,5,4,3,1]=>0000=>0000 [4,1,2,5,3]=>[2,5,4,1,3]=>0000=>0000 [4,1,3,2,5]=>[2,5,3,4,1]=>0000=>0000 [4,1,3,5,2]=>[2,5,3,1,4]=>0000=>0000 [4,1,5,2,3]=>[2,5,1,4,3]=>0000=>0000 [4,1,5,3,2]=>[2,5,1,3,4]=>0000=>0000 [4,2,1,3,5]=>[2,4,5,3,1]=>0000=>0000 [4,2,1,5,3]=>[2,4,5,1,3]=>0000=>0000 [4,2,3,1,5]=>[2,4,3,5,1]=>0000=>0000 [4,2,3,5,1]=>[2,4,3,1,5]=>0001=>1000 [4,2,5,1,3]=>[2,4,1,5,3]=>0000=>0000 [4,2,5,3,1]=>[2,4,1,3,5]=>0001=>1000 [4,3,1,2,5]=>[2,3,5,4,1]=>0000=>0000 [4,3,1,5,2]=>[2,3,5,1,4]=>0000=>0000 [4,3,2,1,5]=>[2,3,4,5,1]=>0000=>0000 [4,3,2,5,1]=>[2,3,4,1,5]=>0001=>1000 [4,3,5,1,2]=>[2,3,1,5,4]=>0010=>0100 [4,3,5,2,1]=>[2,3,1,4,5]=>0011=>1100 [4,5,1,2,3]=>[2,1,5,4,3]=>0100=>0010 [4,5,1,3,2]=>[2,1,5,3,4]=>0100=>0010 [4,5,2,1,3]=>[2,1,4,5,3]=>0100=>0010 [4,5,2,3,1]=>[2,1,4,3,5]=>0101=>1010 [4,5,3,1,2]=>[2,1,3,5,4]=>0110=>0110 [4,5,3,2,1]=>[2,1,3,4,5]=>0111=>1110 [5,1,2,3,4]=>[1,5,4,3,2]=>1000=>0001 [5,1,2,4,3]=>[1,5,4,2,3]=>1000=>0001 [5,1,3,2,4]=>[1,5,3,4,2]=>1000=>0001 [5,1,3,4,2]=>[1,5,3,2,4]=>1000=>0001 [5,1,4,2,3]=>[1,5,2,4,3]=>1000=>0001 [5,1,4,3,2]=>[1,5,2,3,4]=>1000=>0001 [5,2,1,3,4]=>[1,4,5,3,2]=>1000=>0001 [5,2,1,4,3]=>[1,4,5,2,3]=>1000=>0001 [5,2,3,1,4]=>[1,4,3,5,2]=>1000=>0001 [5,2,3,4,1]=>[1,4,3,2,5]=>1001=>1001 [5,2,4,1,3]=>[1,4,2,5,3]=>1000=>0001 [5,2,4,3,1]=>[1,4,2,3,5]=>1001=>1001 [5,3,1,2,4]=>[1,3,5,4,2]=>1000=>0001 [5,3,1,4,2]=>[1,3,5,2,4]=>1000=>0001 [5,3,2,1,4]=>[1,3,4,5,2]=>1000=>0001 [5,3,2,4,1]=>[1,3,4,2,5]=>1001=>1001 [5,3,4,1,2]=>[1,3,2,5,4]=>1010=>0101 [5,3,4,2,1]=>[1,3,2,4,5]=>1011=>1101 [5,4,1,2,3]=>[1,2,5,4,3]=>1100=>0011 [5,4,1,3,2]=>[1,2,5,3,4]=>1100=>0011 [5,4,2,1,3]=>[1,2,4,5,3]=>1100=>0011 [5,4,2,3,1]=>[1,2,4,3,5]=>1101=>1011 [5,4,3,1,2]=>[1,2,3,5,4]=>1110=>0111 [5,4,3,2,1]=>[1,2,3,4,5]=>1111=>1111 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000=>00000 [1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000=>00000 [1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000=>00000 [1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000=>00000 [1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000=>00000 [1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000=>00000 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000=>00000 [1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000=>00000 [1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000=>00000 [1,2,4,5,6,3]=>[6,5,3,2,1,4]=>00000=>00000 [1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000=>00000 [1,2,4,6,5,3]=>[6,5,3,1,2,4]=>00000=>00000 [1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000=>00000 [1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000=>00000 [1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000=>00000 [1,2,5,4,6,3]=>[6,5,2,3,1,4]=>00000=>00000 [1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000=>00000 [1,2,5,6,4,3]=>[6,5,2,1,3,4]=>00000=>00000 [1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000=>00000 [1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000=>00000 [1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000=>00000 [1,2,6,4,5,3]=>[6,5,1,3,2,4]=>00000=>00000 [1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000=>00000 [1,2,6,5,4,3]=>[6,5,1,2,3,4]=>00000=>00000 [1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000=>00000 [1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000=>00000 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000=>00000 [1,3,2,5,6,4]=>[6,4,5,2,1,3]=>00000=>00000 [1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000=>00000 [1,3,2,6,5,4]=>[6,4,5,1,2,3]=>00000=>00000 [1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000=>00000 [1,3,4,2,6,5]=>[6,4,3,5,1,2]=>00000=>00000 [1,3,4,5,2,6]=>[6,4,3,2,5,1]=>00000=>00000 [1,3,4,5,6,2]=>[6,4,3,2,1,5]=>00000=>00000 [1,3,4,6,2,5]=>[6,4,3,1,5,2]=>00000=>00000 [1,3,4,6,5,2]=>[6,4,3,1,2,5]=>00000=>00000 [1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000=>00000 [1,3,5,2,6,4]=>[6,4,2,5,1,3]=>00000=>00000 [1,3,5,4,2,6]=>[6,4,2,3,5,1]=>00000=>00000 [1,3,5,4,6,2]=>[6,4,2,3,1,5]=>00000=>00000 [1,3,5,6,2,4]=>[6,4,2,1,5,3]=>00000=>00000 [1,3,5,6,4,2]=>[6,4,2,1,3,5]=>00000=>00000 [1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000=>00000 [1,3,6,2,5,4]=>[6,4,1,5,2,3]=>00000=>00000 [1,3,6,4,2,5]=>[6,4,1,3,5,2]=>00000=>00000 [1,3,6,4,5,2]=>[6,4,1,3,2,5]=>00000=>00000 [1,3,6,5,2,4]=>[6,4,1,2,5,3]=>00000=>00000 [1,3,6,5,4,2]=>[6,4,1,2,3,5]=>00000=>00000 [1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000=>00000 [1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000=>00000 [1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000=>00000 [1,4,2,5,6,3]=>[6,3,5,2,1,4]=>00000=>00000 [1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000=>00000 [1,4,2,6,5,3]=>[6,3,5,1,2,4]=>00000=>00000 [1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000=>00000 [1,4,3,2,6,5]=>[6,3,4,5,1,2]=>00000=>00000 [1,4,3,5,2,6]=>[6,3,4,2,5,1]=>00000=>00000 [1,4,3,5,6,2]=>[6,3,4,2,1,5]=>00000=>00000 [1,4,3,6,2,5]=>[6,3,4,1,5,2]=>00000=>00000 [1,4,3,6,5,2]=>[6,3,4,1,2,5]=>00000=>00000 [1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000=>00000 [1,4,5,2,6,3]=>[6,3,2,5,1,4]=>00000=>00000 [1,4,5,3,2,6]=>[6,3,2,4,5,1]=>00000=>00000 [1,4,5,3,6,2]=>[6,3,2,4,1,5]=>00000=>00000 [1,4,5,6,2,3]=>[6,3,2,1,5,4]=>00000=>00000 [1,4,5,6,3,2]=>[6,3,2,1,4,5]=>00000=>00000 [1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000=>00000 [1,4,6,2,5,3]=>[6,3,1,5,2,4]=>00000=>00000 [1,4,6,3,2,5]=>[6,3,1,4,5,2]=>00000=>00000 [1,4,6,3,5,2]=>[6,3,1,4,2,5]=>00000=>00000 [1,4,6,5,2,3]=>[6,3,1,2,5,4]=>00000=>00000 [1,4,6,5,3,2]=>[6,3,1,2,4,5]=>00000=>00000 [1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000=>00000 [1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000=>00000 [1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000=>00000 [1,5,2,4,6,3]=>[6,2,5,3,1,4]=>00000=>00000 [1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000=>00000 [1,5,2,6,4,3]=>[6,2,5,1,3,4]=>00000=>00000 [1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000=>00000 [1,5,3,2,6,4]=>[6,2,4,5,1,3]=>00000=>00000 [1,5,3,4,2,6]=>[6,2,4,3,5,1]=>00000=>00000 [1,5,3,4,6,2]=>[6,2,4,3,1,5]=>00000=>00000 [1,5,3,6,2,4]=>[6,2,4,1,5,3]=>00000=>00000 [1,5,3,6,4,2]=>[6,2,4,1,3,5]=>00000=>00000 [1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000=>00000 [1,5,4,2,6,3]=>[6,2,3,5,1,4]=>00000=>00000 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000=>00000 [1,5,4,3,6,2]=>[6,2,3,4,1,5]=>00000=>00000 [1,5,4,6,2,3]=>[6,2,3,1,5,4]=>00000=>00000 [1,5,4,6,3,2]=>[6,2,3,1,4,5]=>00000=>00000 [1,5,6,2,3,4]=>[6,2,1,5,4,3]=>00000=>00000 [1,5,6,2,4,3]=>[6,2,1,5,3,4]=>00000=>00000 [1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000=>00000 [1,5,6,3,4,2]=>[6,2,1,4,3,5]=>00000=>00000 [1,5,6,4,2,3]=>[6,2,1,3,5,4]=>00000=>00000 [1,5,6,4,3,2]=>[6,2,1,3,4,5]=>00000=>00000 [1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000=>00000 [1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000=>00000 [1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000=>00000 [1,6,2,4,5,3]=>[6,1,5,3,2,4]=>00000=>00000 [1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000=>00000 [1,6,2,5,4,3]=>[6,1,5,2,3,4]=>00000=>00000 [1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000=>00000 [1,6,3,2,5,4]=>[6,1,4,5,2,3]=>00000=>00000 [1,6,3,4,2,5]=>[6,1,4,3,5,2]=>00000=>00000 [1,6,3,4,5,2]=>[6,1,4,3,2,5]=>00000=>00000 [1,6,3,5,2,4]=>[6,1,4,2,5,3]=>00000=>00000 [1,6,3,5,4,2]=>[6,1,4,2,3,5]=>00000=>00000 [1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000=>00000 [1,6,4,2,5,3]=>[6,1,3,5,2,4]=>00000=>00000 [1,6,4,3,2,5]=>[6,1,3,4,5,2]=>00000=>00000 [1,6,4,3,5,2]=>[6,1,3,4,2,5]=>00000=>00000 [1,6,4,5,2,3]=>[6,1,3,2,5,4]=>00000=>00000 [1,6,4,5,3,2]=>[6,1,3,2,4,5]=>00000=>00000 [1,6,5,2,3,4]=>[6,1,2,5,4,3]=>00000=>00000 [1,6,5,2,4,3]=>[6,1,2,5,3,4]=>00000=>00000 [1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000=>00000 [1,6,5,3,4,2]=>[6,1,2,4,3,5]=>00000=>00000 [1,6,5,4,2,3]=>[6,1,2,3,5,4]=>00000=>00000 [1,6,5,4,3,2]=>[6,1,2,3,4,5]=>00000=>00000 [2,1,3,4,5,6]=>[5,6,4,3,2,1]=>00000=>00000 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>00000=>00000 [2,1,3,5,4,6]=>[5,6,4,2,3,1]=>00000=>00000 [2,1,3,5,6,4]=>[5,6,4,2,1,3]=>00000=>00000 [2,1,3,6,4,5]=>[5,6,4,1,3,2]=>00000=>00000 [2,1,3,6,5,4]=>[5,6,4,1,2,3]=>00000=>00000 [2,1,4,3,5,6]=>[5,6,3,4,2,1]=>00000=>00000 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>00000=>00000 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[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>00011=>11000 [3,6,1,2,4,5]=>[4,1,6,5,3,2]=>00000=>00000 [3,6,1,2,5,4]=>[4,1,6,5,2,3]=>00000=>00000 [3,6,1,4,2,5]=>[4,1,6,3,5,2]=>00000=>00000 [3,6,1,4,5,2]=>[4,1,6,3,2,5]=>00000=>00000 [3,6,1,5,2,4]=>[4,1,6,2,5,3]=>00000=>00000 [3,6,1,5,4,2]=>[4,1,6,2,3,5]=>00000=>00000 [3,6,2,1,4,5]=>[4,1,5,6,3,2]=>00000=>00000 [3,6,2,1,5,4]=>[4,1,5,6,2,3]=>00000=>00000 [3,6,2,4,1,5]=>[4,1,5,3,6,2]=>00000=>00000 [3,6,2,4,5,1]=>[4,1,5,3,2,6]=>00001=>10000 [3,6,2,5,1,4]=>[4,1,5,2,6,3]=>00000=>00000 [3,6,2,5,4,1]=>[4,1,5,2,3,6]=>00001=>10000 [3,6,4,1,2,5]=>[4,1,3,6,5,2]=>00000=>00000 [3,6,4,1,5,2]=>[4,1,3,6,2,5]=>00000=>00000 [3,6,4,2,1,5]=>[4,1,3,5,6,2]=>00000=>00000 [3,6,4,2,5,1]=>[4,1,3,5,2,6]=>00001=>10000 [3,6,4,5,1,2]=>[4,1,3,2,6,5]=>00010=>01000 [3,6,4,5,2,1]=>[4,1,3,2,5,6]=>00011=>11000 [3,6,5,1,2,4]=>[4,1,2,6,5,3]=>00000=>00000 [3,6,5,1,4,2]=>[4,1,2,6,3,5]=>00000=>00000 [3,6,5,2,1,4]=>[4,1,2,5,6,3]=>00000=>00000 [3,6,5,2,4,1]=>[4,1,2,5,3,6]=>00001=>10000 [3,6,5,4,1,2]=>[4,1,2,3,6,5]=>00010=>01000 [3,6,5,4,2,1]=>[4,1,2,3,5,6]=>00011=>11000 [4,1,2,3,5,6]=>[3,6,5,4,2,1]=>00000=>00000 [4,1,2,3,6,5]=>[3,6,5,4,1,2]=>00000=>00000 [4,1,2,5,3,6]=>[3,6,5,2,4,1]=>00000=>00000 [4,1,2,5,6,3]=>[3,6,5,2,1,4]=>00000=>00000 [4,1,2,6,3,5]=>[3,6,5,1,4,2]=>00000=>00000 [4,1,2,6,5,3]=>[3,6,5,1,2,4]=>00000=>00000 [4,1,3,2,5,6]=>[3,6,4,5,2,1]=>00000=>00000 [4,1,3,2,6,5]=>[3,6,4,5,1,2]=>00000=>00000 [4,1,3,5,2,6]=>[3,6,4,2,5,1]=>00000=>00000 [4,1,3,5,6,2]=>[3,6,4,2,1,5]=>00000=>00000 [4,1,3,6,2,5]=>[3,6,4,1,5,2]=>00000=>00000 [4,1,3,6,5,2]=>[3,6,4,1,2,5]=>00000=>00000 [4,1,5,2,3,6]=>[3,6,2,5,4,1]=>00000=>00000 [4,1,5,2,6,3]=>[3,6,2,5,1,4]=>00000=>00000 [4,1,5,3,2,6]=>[3,6,2,4,5,1]=>00000=>00000 [4,1,5,3,6,2]=>[3,6,2,4,1,5]=>00000=>00000 [4,1,5,6,2,3]=>[3,6,2,1,5,4]=>00000=>00000 [4,1,5,6,3,2]=>[3,6,2,1,4,5]=>00000=>00000 [4,1,6,2,3,5]=>[3,6,1,5,4,2]=>00000=>00000 [4,1,6,2,5,3]=>[3,6,1,5,2,4]=>00000=>00000 [4,1,6,3,2,5]=>[3,6,1,4,5,2]=>00000=>00000 [4,1,6,3,5,2]=>[3,6,1,4,2,5]=>00000=>00000 [4,1,6,5,2,3]=>[3,6,1,2,5,4]=>00000=>00000 [4,1,6,5,3,2]=>[3,6,1,2,4,5]=>00000=>00000 [4,2,1,3,5,6]=>[3,5,6,4,2,1]=>00000=>00000 [4,2,1,3,6,5]=>[3,5,6,4,1,2]=>00000=>00000 [4,2,1,5,3,6]=>[3,5,6,2,4,1]=>00000=>00000 [4,2,1,5,6,3]=>[3,5,6,2,1,4]=>00000=>00000 [4,2,1,6,3,5]=>[3,5,6,1,4,2]=>00000=>00000 [4,2,1,6,5,3]=>[3,5,6,1,2,4]=>00000=>00000 [4,2,3,1,5,6]=>[3,5,4,6,2,1]=>00000=>00000 [4,2,3,1,6,5]=>[3,5,4,6,1,2]=>00000=>00000 [4,2,3,5,1,6]=>[3,5,4,2,6,1]=>00000=>00000 [4,2,3,5,6,1]=>[3,5,4,2,1,6]=>00001=>10000 [4,2,3,6,1,5]=>[3,5,4,1,6,2]=>00000=>00000 [4,2,3,6,5,1]=>[3,5,4,1,2,6]=>00001=>10000 [4,2,5,1,3,6]=>[3,5,2,6,4,1]=>00000=>00000 [4,2,5,1,6,3]=>[3,5,2,6,1,4]=>00000=>00000 [4,2,5,3,1,6]=>[3,5,2,4,6,1]=>00000=>00000 [4,2,5,3,6,1]=>[3,5,2,4,1,6]=>00001=>10000 [4,2,5,6,1,3]=>[3,5,2,1,6,4]=>00000=>00000 [4,2,5,6,3,1]=>[3,5,2,1,4,6]=>00001=>10000 [4,2,6,1,3,5]=>[3,5,1,6,4,2]=>00000=>00000 [4,2,6,1,5,3]=>[3,5,1,6,2,4]=>00000=>00000 [4,2,6,3,1,5]=>[3,5,1,4,6,2]=>00000=>00000 [4,2,6,3,5,1]=>[3,5,1,4,2,6]=>00001=>10000 [4,2,6,5,1,3]=>[3,5,1,2,6,4]=>00000=>00000 [4,2,6,5,3,1]=>[3,5,1,2,4,6]=>00001=>10000 [4,3,1,2,5,6]=>[3,4,6,5,2,1]=>00000=>00000 [4,3,1,2,6,5]=>[3,4,6,5,1,2]=>00000=>00000 [4,3,1,5,2,6]=>[3,4,6,2,5,1]=>00000=>00000 [4,3,1,5,6,2]=>[3,4,6,2,1,5]=>00000=>00000 [4,3,1,6,2,5]=>[3,4,6,1,5,2]=>00000=>00000 [4,3,1,6,5,2]=>[3,4,6,1,2,5]=>00000=>00000 [4,3,2,1,5,6]=>[3,4,5,6,2,1]=>00000=>00000 [4,3,2,1,6,5]=>[3,4,5,6,1,2]=>00000=>00000 [4,3,2,5,1,6]=>[3,4,5,2,6,1]=>00000=>00000 [4,3,2,5,6,1]=>[3,4,5,2,1,6]=>00001=>10000 [4,3,2,6,1,5]=>[3,4,5,1,6,2]=>00000=>00000 [4,3,2,6,5,1]=>[3,4,5,1,2,6]=>00001=>10000 [4,3,5,1,2,6]=>[3,4,2,6,5,1]=>00000=>00000 [4,3,5,1,6,2]=>[3,4,2,6,1,5]=>00000=>00000 [4,3,5,2,1,6]=>[3,4,2,5,6,1]=>00000=>00000 [4,3,5,2,6,1]=>[3,4,2,5,1,6]=>00001=>10000 [4,3,5,6,1,2]=>[3,4,2,1,6,5]=>00010=>01000 [4,3,5,6,2,1]=>[3,4,2,1,5,6]=>00011=>11000 [4,3,6,1,2,5]=>[3,4,1,6,5,2]=>00000=>00000 [4,3,6,1,5,2]=>[3,4,1,6,2,5]=>00000=>00000 [4,3,6,2,1,5]=>[3,4,1,5,6,2]=>00000=>00000 [4,3,6,2,5,1]=>[3,4,1,5,2,6]=>00001=>10000 [4,3,6,5,1,2]=>[3,4,1,2,6,5]=>00010=>01000 [4,3,6,5,2,1]=>[3,4,1,2,5,6]=>00011=>11000 [4,5,1,2,3,6]=>[3,2,6,5,4,1]=>00000=>00000 [4,5,1,2,6,3]=>[3,2,6,5,1,4]=>00000=>00000 [4,5,1,3,2,6]=>[3,2,6,4,5,1]=>00000=>00000 [4,5,1,3,6,2]=>[3,2,6,4,1,5]=>00000=>00000 [4,5,1,6,2,3]=>[3,2,6,1,5,4]=>00000=>00000 [4,5,1,6,3,2]=>[3,2,6,1,4,5]=>00000=>00000 [4,5,2,1,3,6]=>[3,2,5,6,4,1]=>00000=>00000 [4,5,2,1,6,3]=>[3,2,5,6,1,4]=>00000=>00000 [4,5,2,3,1,6]=>[3,2,5,4,6,1]=>00000=>00000 [4,5,2,3,6,1]=>[3,2,5,4,1,6]=>00001=>10000 [4,5,2,6,1,3]=>[3,2,5,1,6,4]=>00000=>00000 [4,5,2,6,3,1]=>[3,2,5,1,4,6]=>00001=>10000 [4,5,3,1,2,6]=>[3,2,4,6,5,1]=>00000=>00000 [4,5,3,1,6,2]=>[3,2,4,6,1,5]=>00000=>00000 [4,5,3,2,1,6]=>[3,2,4,5,6,1]=>00000=>00000 [4,5,3,2,6,1]=>[3,2,4,5,1,6]=>00001=>10000 [4,5,3,6,1,2]=>[3,2,4,1,6,5]=>00010=>01000 [4,5,3,6,2,1]=>[3,2,4,1,5,6]=>00011=>11000 [4,5,6,1,2,3]=>[3,2,1,6,5,4]=>00100=>00100 [4,5,6,1,3,2]=>[3,2,1,6,4,5]=>00100=>00100 [4,5,6,2,1,3]=>[3,2,1,5,6,4]=>00100=>00100 [4,5,6,2,3,1]=>[3,2,1,5,4,6]=>00101=>10100 [4,5,6,3,1,2]=>[3,2,1,4,6,5]=>00110=>01100 [4,5,6,3,2,1]=>[3,2,1,4,5,6]=>00111=>11100 [4,6,1,2,3,5]=>[3,1,6,5,4,2]=>00000=>00000 [4,6,1,2,5,3]=>[3,1,6,5,2,4]=>00000=>00000 [4,6,1,3,2,5]=>[3,1,6,4,5,2]=>00000=>00000 [4,6,1,3,5,2]=>[3,1,6,4,2,5]=>00000=>00000 [4,6,1,5,2,3]=>[3,1,6,2,5,4]=>00000=>00000 [4,6,1,5,3,2]=>[3,1,6,2,4,5]=>00000=>00000 [4,6,2,1,3,5]=>[3,1,5,6,4,2]=>00000=>00000 [4,6,2,1,5,3]=>[3,1,5,6,2,4]=>00000=>00000 [4,6,2,3,1,5]=>[3,1,5,4,6,2]=>00000=>00000 [4,6,2,3,5,1]=>[3,1,5,4,2,6]=>00001=>10000 [4,6,2,5,1,3]=>[3,1,5,2,6,4]=>00000=>00000 [4,6,2,5,3,1]=>[3,1,5,2,4,6]=>00001=>10000 [4,6,3,1,2,5]=>[3,1,4,6,5,2]=>00000=>00000 [4,6,3,1,5,2]=>[3,1,4,6,2,5]=>00000=>00000 [4,6,3,2,1,5]=>[3,1,4,5,6,2]=>00000=>00000 [4,6,3,2,5,1]=>[3,1,4,5,2,6]=>00001=>10000 [4,6,3,5,1,2]=>[3,1,4,2,6,5]=>00010=>01000 [4,6,3,5,2,1]=>[3,1,4,2,5,6]=>00011=>11000 [4,6,5,1,2,3]=>[3,1,2,6,5,4]=>00100=>00100 [4,6,5,1,3,2]=>[3,1,2,6,4,5]=>00100=>00100 [4,6,5,2,1,3]=>[3,1,2,5,6,4]=>00100=>00100 [4,6,5,2,3,1]=>[3,1,2,5,4,6]=>00101=>10100 [4,6,5,3,1,2]=>[3,1,2,4,6,5]=>00110=>01100 [4,6,5,3,2,1]=>[3,1,2,4,5,6]=>00111=>11100 [5,1,2,3,4,6]=>[2,6,5,4,3,1]=>00000=>00000 [5,1,2,3,6,4]=>[2,6,5,4,1,3]=>00000=>00000 [5,1,2,4,3,6]=>[2,6,5,3,4,1]=>00000=>00000 [5,1,2,4,6,3]=>[2,6,5,3,1,4]=>00000=>00000 [5,1,2,6,3,4]=>[2,6,5,1,4,3]=>00000=>00000 [5,1,2,6,4,3]=>[2,6,5,1,3,4]=>00000=>00000 [5,1,3,2,4,6]=>[2,6,4,5,3,1]=>00000=>00000 [5,1,3,2,6,4]=>[2,6,4,5,1,3]=>00000=>00000 [5,1,3,4,2,6]=>[2,6,4,3,5,1]=>00000=>00000 [5,1,3,4,6,2]=>[2,6,4,3,1,5]=>00000=>00000 [5,1,3,6,2,4]=>[2,6,4,1,5,3]=>00000=>00000 [5,1,3,6,4,2]=>[2,6,4,1,3,5]=>00000=>00000 [5,1,4,2,3,6]=>[2,6,3,5,4,1]=>00000=>00000 [5,1,4,2,6,3]=>[2,6,3,5,1,4]=>00000=>00000 [5,1,4,3,2,6]=>[2,6,3,4,5,1]=>00000=>00000 [5,1,4,3,6,2]=>[2,6,3,4,1,5]=>00000=>00000 [5,1,4,6,2,3]=>[2,6,3,1,5,4]=>00000=>00000 [5,1,4,6,3,2]=>[2,6,3,1,4,5]=>00000=>00000 [5,1,6,2,3,4]=>[2,6,1,5,4,3]=>00000=>00000 [5,1,6,2,4,3]=>[2,6,1,5,3,4]=>00000=>00000 [5,1,6,3,2,4]=>[2,6,1,4,5,3]=>00000=>00000 [5,1,6,3,4,2]=>[2,6,1,4,3,5]=>00000=>00000 [5,1,6,4,2,3]=>[2,6,1,3,5,4]=>00000=>00000 [5,1,6,4,3,2]=>[2,6,1,3,4,5]=>00000=>00000 [5,2,1,3,4,6]=>[2,5,6,4,3,1]=>00000=>00000 [5,2,1,3,6,4]=>[2,5,6,4,1,3]=>00000=>00000 [5,2,1,4,3,6]=>[2,5,6,3,4,1]=>00000=>00000 [5,2,1,4,6,3]=>[2,5,6,3,1,4]=>00000=>00000 [5,2,1,6,3,4]=>[2,5,6,1,4,3]=>00000=>00000 [5,2,1,6,4,3]=>[2,5,6,1,3,4]=>00000=>00000 [5,2,3,1,4,6]=>[2,5,4,6,3,1]=>00000=>00000 [5,2,3,1,6,4]=>[2,5,4,6,1,3]=>00000=>00000 [5,2,3,4,1,6]=>[2,5,4,3,6,1]=>00000=>00000 [5,2,3,4,6,1]=>[2,5,4,3,1,6]=>00001=>10000 [5,2,3,6,1,4]=>[2,5,4,1,6,3]=>00000=>00000 [5,2,3,6,4,1]=>[2,5,4,1,3,6]=>00001=>10000 [5,2,4,1,3,6]=>[2,5,3,6,4,1]=>00000=>00000 [5,2,4,1,6,3]=>[2,5,3,6,1,4]=>00000=>00000 [5,2,4,3,1,6]=>[2,5,3,4,6,1]=>00000=>00000 [5,2,4,3,6,1]=>[2,5,3,4,1,6]=>00001=>10000 [5,2,4,6,1,3]=>[2,5,3,1,6,4]=>00000=>00000 [5,2,4,6,3,1]=>[2,5,3,1,4,6]=>00001=>10000 [5,2,6,1,3,4]=>[2,5,1,6,4,3]=>00000=>00000 [5,2,6,1,4,3]=>[2,5,1,6,3,4]=>00000=>00000 [5,2,6,3,1,4]=>[2,5,1,4,6,3]=>00000=>00000 [5,2,6,3,4,1]=>[2,5,1,4,3,6]=>00001=>10000 [5,2,6,4,1,3]=>[2,5,1,3,6,4]=>00000=>00000 [5,2,6,4,3,1]=>[2,5,1,3,4,6]=>00001=>10000 [5,3,1,2,4,6]=>[2,4,6,5,3,1]=>00000=>00000 [5,3,1,2,6,4]=>[2,4,6,5,1,3]=>00000=>00000 [5,3,1,4,2,6]=>[2,4,6,3,5,1]=>00000=>00000 [5,3,1,4,6,2]=>[2,4,6,3,1,5]=>00000=>00000 [5,3,1,6,2,4]=>[2,4,6,1,5,3]=>00000=>00000 [5,3,1,6,4,2]=>[2,4,6,1,3,5]=>00000=>00000 [5,3,2,1,4,6]=>[2,4,5,6,3,1]=>00000=>00000 [5,3,2,1,6,4]=>[2,4,5,6,1,3]=>00000=>00000 [5,3,2,4,1,6]=>[2,4,5,3,6,1]=>00000=>00000 [5,3,2,4,6,1]=>[2,4,5,3,1,6]=>00001=>10000 [5,3,2,6,1,4]=>[2,4,5,1,6,3]=>00000=>00000 [5,3,2,6,4,1]=>[2,4,5,1,3,6]=>00001=>10000 [5,3,4,1,2,6]=>[2,4,3,6,5,1]=>00000=>00000 [5,3,4,1,6,2]=>[2,4,3,6,1,5]=>00000=>00000 [5,3,4,2,1,6]=>[2,4,3,5,6,1]=>00000=>00000 [5,3,4,2,6,1]=>[2,4,3,5,1,6]=>00001=>10000 [5,3,4,6,1,2]=>[2,4,3,1,6,5]=>00010=>01000 [5,3,4,6,2,1]=>[2,4,3,1,5,6]=>00011=>11000 [5,3,6,1,2,4]=>[2,4,1,6,5,3]=>00000=>00000 [5,3,6,1,4,2]=>[2,4,1,6,3,5]=>00000=>00000 [5,3,6,2,1,4]=>[2,4,1,5,6,3]=>00000=>00000 [5,3,6,2,4,1]=>[2,4,1,5,3,6]=>00001=>10000 [5,3,6,4,1,2]=>[2,4,1,3,6,5]=>00010=>01000 [5,3,6,4,2,1]=>[2,4,1,3,5,6]=>00011=>11000 [5,4,1,2,3,6]=>[2,3,6,5,4,1]=>00000=>00000 [5,4,1,2,6,3]=>[2,3,6,5,1,4]=>00000=>00000 [5,4,1,3,2,6]=>[2,3,6,4,5,1]=>00000=>00000 [5,4,1,3,6,2]=>[2,3,6,4,1,5]=>00000=>00000 [5,4,1,6,2,3]=>[2,3,6,1,5,4]=>00000=>00000 [5,4,1,6,3,2]=>[2,3,6,1,4,5]=>00000=>00000 [5,4,2,1,3,6]=>[2,3,5,6,4,1]=>00000=>00000 [5,4,2,1,6,3]=>[2,3,5,6,1,4]=>00000=>00000 [5,4,2,3,1,6]=>[2,3,5,4,6,1]=>00000=>00000 [5,4,2,3,6,1]=>[2,3,5,4,1,6]=>00001=>10000 [5,4,2,6,1,3]=>[2,3,5,1,6,4]=>00000=>00000 [5,4,2,6,3,1]=>[2,3,5,1,4,6]=>00001=>10000 [5,4,3,1,2,6]=>[2,3,4,6,5,1]=>00000=>00000 [5,4,3,1,6,2]=>[2,3,4,6,1,5]=>00000=>00000 [5,4,3,2,1,6]=>[2,3,4,5,6,1]=>00000=>00000 [5,4,3,2,6,1]=>[2,3,4,5,1,6]=>00001=>10000 [5,4,3,6,1,2]=>[2,3,4,1,6,5]=>00010=>01000 [5,4,3,6,2,1]=>[2,3,4,1,5,6]=>00011=>11000 [5,4,6,1,2,3]=>[2,3,1,6,5,4]=>00100=>00100 [5,4,6,1,3,2]=>[2,3,1,6,4,5]=>00100=>00100 [5,4,6,2,1,3]=>[2,3,1,5,6,4]=>00100=>00100 [5,4,6,2,3,1]=>[2,3,1,5,4,6]=>00101=>10100 [5,4,6,3,1,2]=>[2,3,1,4,6,5]=>00110=>01100 [5,4,6,3,2,1]=>[2,3,1,4,5,6]=>00111=>11100 [5,6,1,2,3,4]=>[2,1,6,5,4,3]=>01000=>00010 [5,6,1,2,4,3]=>[2,1,6,5,3,4]=>01000=>00010 [5,6,1,3,2,4]=>[2,1,6,4,5,3]=>01000=>00010 [5,6,1,3,4,2]=>[2,1,6,4,3,5]=>01000=>00010 [5,6,1,4,2,3]=>[2,1,6,3,5,4]=>01000=>00010 [5,6,1,4,3,2]=>[2,1,6,3,4,5]=>01000=>00010 [5,6,2,1,3,4]=>[2,1,5,6,4,3]=>01000=>00010 [5,6,2,1,4,3]=>[2,1,5,6,3,4]=>01000=>00010 [5,6,2,3,1,4]=>[2,1,5,4,6,3]=>01000=>00010 [5,6,2,3,4,1]=>[2,1,5,4,3,6]=>01001=>10010 [5,6,2,4,1,3]=>[2,1,5,3,6,4]=>01000=>00010 [5,6,2,4,3,1]=>[2,1,5,3,4,6]=>01001=>10010 [5,6,3,1,2,4]=>[2,1,4,6,5,3]=>01000=>00010 [5,6,3,1,4,2]=>[2,1,4,6,3,5]=>01000=>00010 [5,6,3,2,1,4]=>[2,1,4,5,6,3]=>01000=>00010 [5,6,3,2,4,1]=>[2,1,4,5,3,6]=>01001=>10010 [5,6,3,4,1,2]=>[2,1,4,3,6,5]=>01010=>01010 [5,6,3,4,2,1]=>[2,1,4,3,5,6]=>01011=>11010 [5,6,4,1,2,3]=>[2,1,3,6,5,4]=>01100=>00110 [5,6,4,1,3,2]=>[2,1,3,6,4,5]=>01100=>00110 [5,6,4,2,1,3]=>[2,1,3,5,6,4]=>01100=>00110 [5,6,4,2,3,1]=>[2,1,3,5,4,6]=>01101=>10110 [5,6,4,3,1,2]=>[2,1,3,4,6,5]=>01110=>01110 [5,6,4,3,2,1]=>[2,1,3,4,5,6]=>01111=>11110 [6,1,2,3,4,5]=>[1,6,5,4,3,2]=>10000=>00001 [6,1,2,3,5,4]=>[1,6,5,4,2,3]=>10000=>00001 [6,1,2,4,3,5]=>[1,6,5,3,4,2]=>10000=>00001 [6,1,2,4,5,3]=>[1,6,5,3,2,4]=>10000=>00001 [6,1,2,5,3,4]=>[1,6,5,2,4,3]=>10000=>00001 [6,1,2,5,4,3]=>[1,6,5,2,3,4]=>10000=>00001 [6,1,3,2,4,5]=>[1,6,4,5,3,2]=>10000=>00001 [6,1,3,2,5,4]=>[1,6,4,5,2,3]=>10000=>00001 [6,1,3,4,2,5]=>[1,6,4,3,5,2]=>10000=>00001 [6,1,3,4,5,2]=>[1,6,4,3,2,5]=>10000=>00001 [6,1,3,5,2,4]=>[1,6,4,2,5,3]=>10000=>00001 [6,1,3,5,4,2]=>[1,6,4,2,3,5]=>10000=>00001 [6,1,4,2,3,5]=>[1,6,3,5,4,2]=>10000=>00001 [6,1,4,2,5,3]=>[1,6,3,5,2,4]=>10000=>00001 [6,1,4,3,2,5]=>[1,6,3,4,5,2]=>10000=>00001 [6,1,4,3,5,2]=>[1,6,3,4,2,5]=>10000=>00001 [6,1,4,5,2,3]=>[1,6,3,2,5,4]=>10000=>00001 [6,1,4,5,3,2]=>[1,6,3,2,4,5]=>10000=>00001 [6,1,5,2,3,4]=>[1,6,2,5,4,3]=>10000=>00001 [6,1,5,2,4,3]=>[1,6,2,5,3,4]=>10000=>00001 [6,1,5,3,2,4]=>[1,6,2,4,5,3]=>10000=>00001 [6,1,5,3,4,2]=>[1,6,2,4,3,5]=>10000=>00001 [6,1,5,4,2,3]=>[1,6,2,3,5,4]=>10000=>00001 [6,1,5,4,3,2]=>[1,6,2,3,4,5]=>10000=>00001 [6,2,1,3,4,5]=>[1,5,6,4,3,2]=>10000=>00001 [6,2,1,3,5,4]=>[1,5,6,4,2,3]=>10000=>00001 [6,2,1,4,3,5]=>[1,5,6,3,4,2]=>10000=>00001 [6,2,1,4,5,3]=>[1,5,6,3,2,4]=>10000=>00001 [6,2,1,5,3,4]=>[1,5,6,2,4,3]=>10000=>00001 [6,2,1,5,4,3]=>[1,5,6,2,3,4]=>10000=>00001 [6,2,3,1,4,5]=>[1,5,4,6,3,2]=>10000=>00001 [6,2,3,1,5,4]=>[1,5,4,6,2,3]=>10000=>00001 [6,2,3,4,1,5]=>[1,5,4,3,6,2]=>10000=>00001 [6,2,3,4,5,1]=>[1,5,4,3,2,6]=>10001=>10001 [6,2,3,5,1,4]=>[1,5,4,2,6,3]=>10000=>00001 [6,2,3,5,4,1]=>[1,5,4,2,3,6]=>10001=>10001 [6,2,4,1,3,5]=>[1,5,3,6,4,2]=>10000=>00001 [6,2,4,1,5,3]=>[1,5,3,6,2,4]=>10000=>00001 [6,2,4,3,1,5]=>[1,5,3,4,6,2]=>10000=>00001 [6,2,4,3,5,1]=>[1,5,3,4,2,6]=>10001=>10001 [6,2,4,5,1,3]=>[1,5,3,2,6,4]=>10000=>00001 [6,2,4,5,3,1]=>[1,5,3,2,4,6]=>10001=>10001 [6,2,5,1,3,4]=>[1,5,2,6,4,3]=>10000=>00001 [6,2,5,1,4,3]=>[1,5,2,6,3,4]=>10000=>00001 [6,2,5,3,1,4]=>[1,5,2,4,6,3]=>10000=>00001 [6,2,5,3,4,1]=>[1,5,2,4,3,6]=>10001=>10001 [6,2,5,4,1,3]=>[1,5,2,3,6,4]=>10000=>00001 [6,2,5,4,3,1]=>[1,5,2,3,4,6]=>10001=>10001 [6,3,1,2,4,5]=>[1,4,6,5,3,2]=>10000=>00001 [6,3,1,2,5,4]=>[1,4,6,5,2,3]=>10000=>00001 [6,3,1,4,2,5]=>[1,4,6,3,5,2]=>10000=>00001 [6,3,1,4,5,2]=>[1,4,6,3,2,5]=>10000=>00001 [6,3,1,5,2,4]=>[1,4,6,2,5,3]=>10000=>00001 [6,3,1,5,4,2]=>[1,4,6,2,3,5]=>10000=>00001 [6,3,2,1,4,5]=>[1,4,5,6,3,2]=>10000=>00001 [6,3,2,1,5,4]=>[1,4,5,6,2,3]=>10000=>00001 [6,3,2,4,1,5]=>[1,4,5,3,6,2]=>10000=>00001 [6,3,2,4,5,1]=>[1,4,5,3,2,6]=>10001=>10001 [6,3,2,5,1,4]=>[1,4,5,2,6,3]=>10000=>00001 [6,3,2,5,4,1]=>[1,4,5,2,3,6]=>10001=>10001 [6,3,4,1,2,5]=>[1,4,3,6,5,2]=>10000=>00001 [6,3,4,1,5,2]=>[1,4,3,6,2,5]=>10000=>00001 [6,3,4,2,1,5]=>[1,4,3,5,6,2]=>10000=>00001 [6,3,4,2,5,1]=>[1,4,3,5,2,6]=>10001=>10001 [6,3,4,5,1,2]=>[1,4,3,2,6,5]=>10010=>01001 [6,3,4,5,2,1]=>[1,4,3,2,5,6]=>10011=>11001 [6,3,5,1,2,4]=>[1,4,2,6,5,3]=>10000=>00001 [6,3,5,1,4,2]=>[1,4,2,6,3,5]=>10000=>00001 [6,3,5,2,1,4]=>[1,4,2,5,6,3]=>10000=>00001 [6,3,5,2,4,1]=>[1,4,2,5,3,6]=>10001=>10001 [6,3,5,4,1,2]=>[1,4,2,3,6,5]=>10010=>01001 [6,3,5,4,2,1]=>[1,4,2,3,5,6]=>10011=>11001 [6,4,1,2,3,5]=>[1,3,6,5,4,2]=>10000=>00001 [6,4,1,2,5,3]=>[1,3,6,5,2,4]=>10000=>00001 [6,4,1,3,2,5]=>[1,3,6,4,5,2]=>10000=>00001 [6,4,1,3,5,2]=>[1,3,6,4,2,5]=>10000=>00001 [6,4,1,5,2,3]=>[1,3,6,2,5,4]=>10000=>00001 [6,4,1,5,3,2]=>[1,3,6,2,4,5]=>10000=>00001 [6,4,2,1,3,5]=>[1,3,5,6,4,2]=>10000=>00001 [6,4,2,1,5,3]=>[1,3,5,6,2,4]=>10000=>00001 [6,4,2,3,1,5]=>[1,3,5,4,6,2]=>10000=>00001 [6,4,2,3,5,1]=>[1,3,5,4,2,6]=>10001=>10001 [6,4,2,5,1,3]=>[1,3,5,2,6,4]=>10000=>00001 [6,4,2,5,3,1]=>[1,3,5,2,4,6]=>10001=>10001 [6,4,3,1,2,5]=>[1,3,4,6,5,2]=>10000=>00001 [6,4,3,1,5,2]=>[1,3,4,6,2,5]=>10000=>00001 [6,4,3,2,1,5]=>[1,3,4,5,6,2]=>10000=>00001 [6,4,3,2,5,1]=>[1,3,4,5,2,6]=>10001=>10001 [6,4,3,5,1,2]=>[1,3,4,2,6,5]=>10010=>01001 [6,4,3,5,2,1]=>[1,3,4,2,5,6]=>10011=>11001 [6,4,5,1,2,3]=>[1,3,2,6,5,4]=>10100=>00101 [6,4,5,1,3,2]=>[1,3,2,6,4,5]=>10100=>00101 [6,4,5,2,1,3]=>[1,3,2,5,6,4]=>10100=>00101 [6,4,5,2,3,1]=>[1,3,2,5,4,6]=>10101=>10101 [6,4,5,3,1,2]=>[1,3,2,4,6,5]=>10110=>01101 [6,4,5,3,2,1]=>[1,3,2,4,5,6]=>10111=>11101 [6,5,1,2,3,4]=>[1,2,6,5,4,3]=>11000=>00011 [6,5,1,2,4,3]=>[1,2,6,5,3,4]=>11000=>00011 [6,5,1,3,2,4]=>[1,2,6,4,5,3]=>11000=>00011 [6,5,1,3,4,2]=>[1,2,6,4,3,5]=>11000=>00011 [6,5,1,4,2,3]=>[1,2,6,3,5,4]=>11000=>00011 [6,5,1,4,3,2]=>[1,2,6,3,4,5]=>11000=>00011 [6,5,2,1,3,4]=>[1,2,5,6,4,3]=>11000=>00011 [6,5,2,1,4,3]=>[1,2,5,6,3,4]=>11000=>00011 [6,5,2,3,1,4]=>[1,2,5,4,6,3]=>11000=>00011 [6,5,2,3,4,1]=>[1,2,5,4,3,6]=>11001=>10011 [6,5,2,4,1,3]=>[1,2,5,3,6,4]=>11000=>00011 [6,5,2,4,3,1]=>[1,2,5,3,4,6]=>11001=>10011 [6,5,3,1,2,4]=>[1,2,4,6,5,3]=>11000=>00011 [6,5,3,1,4,2]=>[1,2,4,6,3,5]=>11000=>00011 [6,5,3,2,1,4]=>[1,2,4,5,6,3]=>11000=>00011 [6,5,3,2,4,1]=>[1,2,4,5,3,6]=>11001=>10011 [6,5,3,4,1,2]=>[1,2,4,3,6,5]=>11010=>01011 [6,5,3,4,2,1]=>[1,2,4,3,5,6]=>11011=>11011 [6,5,4,1,2,3]=>[1,2,3,6,5,4]=>11100=>00111 [6,5,4,1,3,2]=>[1,2,3,6,4,5]=>11100=>00111 [6,5,4,2,1,3]=>[1,2,3,5,6,4]=>11100=>00111 [6,5,4,2,3,1]=>[1,2,3,5,4,6]=>11101=>10111 [6,5,4,3,1,2]=>[1,2,3,4,6,5]=>11110=>01111 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>11111=>11111 [1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000=>000000 [1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000=>000000 [1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000=>000000 [1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000=>000000 [1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000=>000000 [1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000=>000000 [1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000=>000000 [1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000=>000000 [1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000=>000000 [1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000=>000000 [1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000=>000000 [1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000=>000000 [1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000=>000000 [1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000=>000000 [1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000=>000000 [1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000=>000000 [1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000=>000000 [1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000=>000000 [1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000=>000000 [1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000=>000000 [1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000=>000000 [1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000=>000000 [1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000=>000000 [1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000=>000000 [1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000=>000000 [1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000=>000000 [1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000=>000000 [1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000=>000000 [1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000=>000000 [1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000=>000000 [1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000=>000000 [1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000=>000000 [1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000=>000000 [1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>000000=>000000 [1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000=>000000 [1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>000000=>000000 [1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000=>000000 [1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000=>000000 [1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000=>000000 [1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>000000=>000000 [1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000=>000000 [1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>000000=>000000 [1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000=>000000 [1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000=>000000 [1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000=>000000 [1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>000000=>000000 [1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000=>000000 [1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>000000=>000000 [1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000=>000000 [1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000=>000000 [1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000=>000000 [1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000=>000000 [1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000=>000000 [1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000=>000000 [1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000=>000000 [1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000=>000000 [1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000=>000000 [1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>000000=>000000 [1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000=>000000 [1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>000000=>000000 [1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000=>000000 [1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000=>000000 [1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000=>000000 [1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>000000=>000000 [1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>000000=>000000 [1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000=>000000 [1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000=>000000 [1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000=>000000 [1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000=>000000 [1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>000000=>000000 [1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>000000=>000000 [1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000=>000000 [1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000=>000000 [1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000=>000000 [1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000=>000000 [1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000=>000000 [1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000=>000000 [1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000=>000000 [1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000=>000000 [1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000=>000000 [1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000=>000000 [1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>000000=>000000 [1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000=>000000 [1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>000000=>000000 [1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000=>000000 [1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000=>000000 [1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000=>000000 [1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>000000=>000000 [1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000=>000000 [1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>000000=>000000 [1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000=>000000 [1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000=>000000 [1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000=>000000 [1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>000000=>000000 [1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000=>000000 [1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>000000=>000000 [1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000=>000000 [1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000=>000000 [1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000=>000000 [1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000=>000000 [1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000=>000000 [1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000=>000000 [1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000=>000000 [1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000=>000000 [1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000=>000000 [1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>000000=>000000 [1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000=>000000 [1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>000000=>000000 [1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000=>000000 [1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000=>000000 [1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000=>000000 [1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>000000=>000000 [1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000=>000000 [1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>000000=>000000 [1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000=>000000 [1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000=>000000 [1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000=>000000 [1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>000000=>000000 [1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000=>000000 [1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>000000=>000000 [1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000=>000000 [1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000=>000000 [1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000=>000000 [1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000=>000000 [1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000=>000000 [1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000=>000000 [1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000=>000000 [1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000=>000000 [1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000=>000000 [1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>000000=>000000 [1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000=>000000 [1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>000000=>000000 [1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000=>000000 [1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000=>000000 [1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000=>000000 [1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>000000=>000000 [1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000=>000000 [1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>000000=>000000 [1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000=>000000 [1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000=>000000 [1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000=>000000 [1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>000000=>000000 [1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000=>000000 [1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>000000=>000000 [1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000=>000000 [1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000=>000000 [1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000=>000000 [1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>000000=>000000 [1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000=>000000 [1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>000000=>000000 [1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000=>000000 [1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>000000=>000000 [1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>000000=>000000 [1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>000000=>000000 [1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>000000=>000000 [1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>000000=>000000 [1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000=>000000 [1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>000000=>000000 [1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>000000=>000000 [1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>000000=>000000 [1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>000000=>000000 [1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>000000=>000000 [1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000=>000000 [1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>000000=>000000 [1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>000000=>000000 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[5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>000000=>000000 [5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>000000=>000000 [5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>000001=>100000 [5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>000010=>010000 [5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>000011=>110000 [5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>000100=>001000 [5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>000100=>001000 [5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>000100=>001000 [5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>000101=>101000 [5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>000110=>011000 [5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>000111=>111000 [5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>001000=>000100 [5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>001000=>000100 [5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>001000=>000100 [5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>001000=>000100 [5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>001000=>000100 [5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>001000=>000100 [5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>001000=>000100 [5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>001000=>000100 [5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>001000=>000100 [5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>001001=>100100 [5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>001000=>000100 [5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>001001=>100100 [5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>001000=>000100 [5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>001000=>000100 [5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>001000=>000100 [5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>001001=>100100 [5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>001010=>010100 [5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>001011=>110100 [5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>001100=>001100 [5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>001100=>001100 [5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>001100=>001100 [5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>001101=>101100 [5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>001110=>011100 [5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>001111=>111100 [5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>000000=>000000 [5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>000000=>000000 [5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>000000=>000000 [5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>000000=>000000 [5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>000000=>000000 [5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>000000=>000000 [5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>000000=>000000 [5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>000000=>000000 [5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>000000=>000000 [5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>000000=>000000 [5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>000000=>000000 [5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>000000=>000000 [5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>000000=>000000 [5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>000000=>000000 [5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>000000=>000000 [5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>000000=>000000 [5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>000000=>000000 [5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>000000=>000000 [5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>000000=>000000 [5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>000000=>000000 [5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>000000=>000000 [5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>000000=>000000 [5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>000000=>000000 [5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>000000=>000000 [5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>000000=>000000 [5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>000000=>000000 [5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>000000=>000000 [5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>000000=>000000 [5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>000000=>000000 [5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>000000=>000000 [5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>000000=>000000 [5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>000000=>000000 [5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>000000=>000000 [5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>000001=>100000 [5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>000000=>000000 [5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>000001=>100000 [5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>000000=>000000 [5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>000000=>000000 [5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>000000=>000000 [5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>000001=>100000 [5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>000000=>000000 [5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>000001=>100000 [5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>000000=>000000 [5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>000000=>000000 [5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>000000=>000000 [5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>000001=>100000 [5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>000000=>000000 [5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>000001=>100000 [5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>000000=>000000 [5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>000000=>000000 [5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>000000=>000000 [5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>000000=>000000 [5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>000000=>000000 [5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>000000=>000000 [5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>000000=>000000 [5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>000000=>000000 [5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>000000=>000000 [5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>000001=>100000 [5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>000000=>000000 [5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>000001=>100000 [5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>000000=>000000 [5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>000000=>000000 [5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>000000=>000000 [5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>000001=>100000 [5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>000010=>010000 [5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>000011=>110000 [5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>000000=>000000 [5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>000000=>000000 [5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>000000=>000000 [5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>000001=>100000 [5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>000010=>010000 [5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>000011=>110000 [5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>000000=>000000 [5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>000000=>000000 [5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>000000=>000000 [5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>000000=>000000 [5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>000000=>000000 [5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>000000=>000000 [5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>000000=>000000 [5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>000000=>000000 [5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>000000=>000000 [5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>000001=>100000 [5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>000000=>000000 [5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>000001=>100000 [5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>000000=>000000 [5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>000000=>000000 [5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>000000=>000000 [5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>000001=>100000 [5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>000010=>010000 [5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>000011=>110000 [5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>000100=>001000 [5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>000100=>001000 [5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>000100=>001000 [5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>000101=>101000 [5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>000110=>011000 [5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>000111=>111000 [5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>001000=>000100 [5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>001000=>000100 [5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>001000=>000100 [5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>001000=>000100 [5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>001000=>000100 [5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>001000=>000100 [5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>001000=>000100 [5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>001000=>000100 [5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>001000=>000100 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[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>000001=>100000 [6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>000000=>000000 [6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>000001=>100000 [6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>000000=>000000 [6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>000000=>000000 [6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>000000=>000000 [6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>000000=>000000 [6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>000000=>000000 [6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>000000=>000000 [6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>000000=>000000 [6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>000000=>000000 [6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>000000=>000000 [6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>000001=>100000 [6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>000000=>000000 [6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>000001=>100000 [6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>000000=>000000 [6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>000000=>000000 [6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>000000=>000000 [6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>000001=>100000 [6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>000010=>010000 [6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>000011=>110000 [6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>000000=>000000 [6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>000000=>000000 [6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>000000=>000000 [6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>000001=>100000 [6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>000010=>010000 [6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>000011=>110000 [6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>000000=>000000 [6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>000000=>000000 [6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>000000=>000000 [6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>000000=>000000 [6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>000000=>000000 [6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>000000=>000000 [6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>000000=>000000 [6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>000000=>000000 [6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>000000=>000000 [6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>000001=>100000 [6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>000000=>000000 [6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>000001=>100000 [6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>000000=>000000 [6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>000000=>000000 [6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>000000=>000000 [6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>000001=>100000 [6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>000010=>010000 [6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>000011=>110000 [6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>000100=>001000 [6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>000100=>001000 [6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>000100=>001000 [6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>000101=>101000 [6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>000110=>011000 [6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>000111=>111000 [6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>001000=>000100 [6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>001000=>000100 [6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>001000=>000100 [6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>001000=>000100 [6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>001000=>000100 [6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>001000=>000100 [6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>001000=>000100 [6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>001000=>000100 [6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>001000=>000100 [6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>001001=>100100 [6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>001000=>000100 [6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>001001=>100100 [6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>001000=>000100 [6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>001000=>000100 [6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>001000=>000100 [6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>001001=>100100 [6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>001010=>010100 [6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>001011=>110100 [6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>001100=>001100 [6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>001100=>001100 [6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>001100=>001100 [6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>001101=>101100 [6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>001110=>011100 [6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>001111=>111100 [6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>010000=>000010 [6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>010000=>000010 [6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>010000=>000010 [6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>010000=>000010 [6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>010000=>000010 [6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>010000=>000010 [6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>010000=>000010 [6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>010000=>000010 [6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>010000=>000010 [6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>010000=>000010 [6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>010000=>000010 [6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>010000=>000010 [6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>010000=>000010 [6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>010000=>000010 [6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>010000=>000010 [6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>010000=>000010 [6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>010000=>000010 [6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>010000=>000010 [6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>010000=>000010 [6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>010000=>000010 [6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>010000=>000010 [6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>010000=>000010 [6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>010000=>000010 [6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>010000=>000010 [6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>010000=>000010 [6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>010000=>000010 [6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>010000=>000010 [6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>010000=>000010 [6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>010000=>000010 [6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>010000=>000010 [6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>010000=>000010 [6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>010000=>000010 [6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>010000=>000010 [6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>010001=>100010 [6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>010000=>000010 [6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>010001=>100010 [6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>010000=>000010 [6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>010000=>000010 [6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>010000=>000010 [6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>010001=>100010 [6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>010000=>000010 [6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>010001=>100010 [6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>010000=>000010 [6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>010000=>000010 [6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>010000=>000010 [6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>010001=>100010 [6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>010000=>000010 [6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>010001=>100010 [6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>010000=>000010 [6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>010000=>000010 [6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>010000=>000010 [6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>010000=>000010 [6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>010000=>000010 [6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>010000=>000010 [6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>010000=>000010 [6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>010000=>000010 [6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>010000=>000010 [6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>010001=>100010 [6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>010000=>000010 [6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>010001=>100010 [6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>010000=>000010 [6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>010000=>000010 [6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>010000=>000010 [6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>010001=>100010 [6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>010010=>010010 [6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>010011=>110010 [6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>010000=>000010 [6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>010000=>000010 [6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>010000=>000010 [6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>010001=>100010 [6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>010010=>010010 [6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>010011=>110010 [6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>010000=>000010 [6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>010000=>000010 [6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>010000=>000010 [6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>010000=>000010 [6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>010000=>000010 [6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>010000=>000010 [6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>010000=>000010 [6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>010000=>000010 [6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>010000=>000010 [6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>010001=>100010 [6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>010000=>000010 [6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>010001=>100010 [6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>010000=>000010 [6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>010000=>000010 [6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>010000=>000010 [6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>010001=>100010 [6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>010010=>010010 [6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>010011=>110010 [6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>010100=>001010 [6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>010100=>001010 [6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>010100=>001010 [6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>010101=>101010 [6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>010110=>011010 [6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>010111=>111010 [6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>011000=>000110 [6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>011000=>000110 [6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>011000=>000110 [6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>011000=>000110 [6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>011000=>000110 [6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>011000=>000110 [6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>011000=>000110 [6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>011000=>000110 [6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>011000=>000110 [6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>011001=>100110 [6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>011000=>000110 [6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>011001=>100110 [6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>011000=>000110 [6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>011000=>000110 [6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>011000=>000110 [6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>011001=>100110 [6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>011010=>010110 [6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>011011=>110110 [6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>011100=>001110 [6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>011100=>001110 [6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>011100=>001110 [6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>011101=>101110 [6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>011110=>011110 [6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>011111=>111110 [7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>100000=>000001 [7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>100000=>000001 [7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>100000=>000001 [7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>100000=>000001 [7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>100000=>000001 [7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>100000=>000001 [7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>100000=>000001 [7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>100000=>000001 [7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>100000=>000001 [7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>100000=>000001 [7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>100000=>000001 [7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>100000=>000001 [7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>100000=>000001 [7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>100000=>000001 [7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>100000=>000001 [7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>100000=>000001 [7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>100000=>000001 [7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>100000=>000001 [7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>100000=>000001 [7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>100000=>000001 [7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>100000=>000001 [7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>100000=>000001 [7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>100000=>000001 [7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>100000=>000001 [7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>100000=>000001 [7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>100000=>000001 [7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>100000=>000001 [7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>100000=>000001 [7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>100000=>000001 [7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>100000=>000001 [7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>100000=>000001 [7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>100000=>000001 [7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>100000=>000001 [7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>100000=>000001 [7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>100000=>000001 [7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>100000=>000001 [7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>100000=>000001 [7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>100000=>000001 [7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>100000=>000001 [7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>100000=>000001 [7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>100000=>000001 [7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>100000=>000001 [7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>100000=>000001 [7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>100000=>000001 [7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>100000=>000001 [7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>100000=>000001 [7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>100000=>000001 [7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>100000=>000001 [7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>100000=>000001 [7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>100000=>000001 [7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>100000=>000001 [7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>100000=>000001 [7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>100000=>000001 [7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>100000=>000001 [7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>100000=>000001 [7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>100000=>000001 [7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>100000=>000001 [7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>100000=>000001 [7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>100000=>000001 [7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>100000=>000001 [7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>100000=>000001 [7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>100000=>000001 [7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>100000=>000001 [7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>100000=>000001 [7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>100000=>000001 [7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>100000=>000001 [7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>100000=>000001 [7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>100000=>000001 [7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>100000=>000001 [7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>100000=>000001 [7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>100000=>000001 [7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>100000=>000001 [7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>100000=>000001 [7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>100000=>000001 [7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>100000=>000001 [7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>100000=>000001 [7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>100000=>000001 [7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>100000=>000001 [7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>100000=>000001 [7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>100000=>000001 [7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>100000=>000001 [7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>100000=>000001 [7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>100000=>000001 [7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>100000=>000001 [7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>100000=>000001 [7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>100000=>000001 [7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>100000=>000001 [7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>100000=>000001 [7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>100000=>000001 [7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>100000=>000001 [7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>100000=>000001 [7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>100000=>000001 [7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>100000=>000001 [7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>100000=>000001 [7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>100000=>000001 [7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>100000=>000001 [7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>100000=>000001 [7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>100000=>000001 [7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>100000=>000001 [7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>100000=>000001 [7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>100000=>000001 [7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>100000=>000001 [7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>100000=>000001 [7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>100000=>000001 [7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>100000=>000001 [7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>100000=>000001 [7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>100000=>000001 [7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>100000=>000001 [7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>100000=>000001 [7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>100000=>000001 [7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>100000=>000001 [7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>100000=>000001 [7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>100000=>000001 [7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>100000=>000001 [7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>100000=>000001 [7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>100000=>000001 [7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>100000=>000001 [7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>100000=>000001 [7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>100000=>000001 [7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>100000=>000001 [7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>100000=>000001 [7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>100000=>000001 [7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>100000=>000001 [7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>100000=>000001 [7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>100000=>000001 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[7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>100000=>000001 [7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>100000=>000001 [7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>100001=>100001 [7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>100000=>000001 [7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>100001=>100001 [7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>100000=>000001 [7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>100000=>000001 [7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>100000=>000001 [7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>100001=>100001 [7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>100000=>000001 [7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>100001=>100001 [7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>100000=>000001 [7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>100000=>000001 [7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>100000=>000001 [7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>100000=>000001 [7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>100000=>000001 [7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>100000=>000001 [7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>100000=>000001 [7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>100000=>000001 [7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>100000=>000001 [7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>100001=>100001 [7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>100000=>000001 [7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>100001=>100001 [7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>100000=>000001 [7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>100000=>000001 [7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>100000=>000001 [7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>100001=>100001 [7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>100000=>000001 [7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>100001=>100001 [7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>100000=>000001 [7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>100000=>000001 [7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>100000=>000001 [7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>100001=>100001 [7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>100000=>000001 [7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>100001=>100001 [7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>100000=>000001 [7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>100000=>000001 [7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>100000=>000001 [7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>100000=>000001 [7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>100000=>000001 [7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>100000=>000001 [7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>100000=>000001 [7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>100000=>000001 [7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>100000=>000001 [7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>100000=>000001 [7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>100000=>000001 [7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>100000=>000001 [7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>100000=>000001 [7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>100000=>000001 [7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>100000=>000001 [7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>100000=>000001 [7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>100000=>000001 [7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>100000=>000001 [7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>100000=>000001 [7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>100000=>000001 [7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>100000=>000001 [7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>100000=>000001 [7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>100000=>000001 [7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>100000=>000001 [7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>100000=>000001 [7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>100000=>000001 [7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>100000=>000001 [7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>100000=>000001 [7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>100000=>000001 [7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>100000=>000001 [7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>100000=>000001 [7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>100000=>000001 [7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>100000=>000001 [7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>100001=>100001 [7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>100000=>000001 [7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>100001=>100001 [7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>100000=>000001 [7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>100000=>000001 [7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>100000=>000001 [7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>100001=>100001 [7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>100000=>000001 [7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>100001=>100001 [7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>100000=>000001 [7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>100000=>000001 [7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>100000=>000001 [7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>100001=>100001 [7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>100000=>000001 [7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>100001=>100001 [7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>100000=>000001 [7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>100000=>000001 [7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>100000=>000001 [7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>100000=>000001 [7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>100000=>000001 [7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>100000=>000001 [7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>100000=>000001 [7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>100000=>000001 [7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>100000=>000001 [7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>100001=>100001 [7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>100000=>000001 [7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>100001=>100001 [7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>100000=>000001 [7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>100000=>000001 [7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>100000=>000001 [7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>100001=>100001 [7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>100010=>010001 [7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>100011=>110001 [7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>100000=>000001 [7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>100000=>000001 [7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>100000=>000001 [7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>100001=>100001 [7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>100010=>010001 [7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>100011=>110001 [7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>100000=>000001 [7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>100000=>000001 [7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>100000=>000001 [7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>100000=>000001 [7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>100000=>000001 [7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>100000=>000001 [7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>100000=>000001 [7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>100000=>000001 [7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>100000=>000001 [7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>100001=>100001 [7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>100000=>000001 [7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>100001=>100001 [7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>100000=>000001 [7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>100000=>000001 [7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>100000=>000001 [7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>100001=>100001 [7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>100010=>010001 [7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>100011=>110001 [7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>100000=>000001 [7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>100000=>000001 [7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>100000=>000001 [7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>100001=>100001 [7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>100010=>010001 [7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>100011=>110001 [7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>100000=>000001 [7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>100000=>000001 [7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>100000=>000001 [7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>100000=>000001 [7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>100000=>000001 [7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>100000=>000001 [7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>100000=>000001 [7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>100000=>000001 [7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>100000=>000001 [7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>100001=>100001 [7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>100000=>000001 [7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>100001=>100001 [7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>100000=>000001 [7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>100000=>000001 [7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>100000=>000001 [7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>100001=>100001 [7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>100010=>010001 [7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>100011=>110001 [7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>100000=>000001 [7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>100000=>000001 [7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>100000=>000001 [7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>100001=>100001 [7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>100010=>010001 [7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>100011=>110001 [7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>100000=>000001 [7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>100000=>000001 [7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>100000=>000001 [7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>100000=>000001 [7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>100000=>000001 [7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>100000=>000001 [7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>100000=>000001 [7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>100000=>000001 [7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>100000=>000001 [7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>100000=>000001 [7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>100000=>000001 [7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>100000=>000001 [7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>100000=>000001 [7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>100000=>000001 [7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>100000=>000001 [7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>100000=>000001 [7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>100000=>000001 [7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>100000=>000001 [7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>100000=>000001 [7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>100000=>000001 [7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>100000=>000001 [7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>100000=>000001 [7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>100000=>000001 [7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>100000=>000001 [7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>100000=>000001 [7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>100000=>000001 [7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>100000=>000001 [7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>100000=>000001 [7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>100000=>000001 [7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>100000=>000001 [7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>100000=>000001 [7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>100000=>000001 [7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>100000=>000001 [7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>100001=>100001 [7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>100000=>000001 [7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>100001=>100001 [7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>100000=>000001 [7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>100000=>000001 [7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>100000=>000001 [7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>100001=>100001 [7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>100000=>000001 [7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>100001=>100001 [7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>100000=>000001 [7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>100000=>000001 [7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>100000=>000001 [7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>100001=>100001 [7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>100000=>000001 [7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>100001=>100001 [7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>100000=>000001 [7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>100000=>000001 [7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>100000=>000001 [7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>100000=>000001 [7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>100000=>000001 [7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>100000=>000001 [7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>100000=>000001 [7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>100000=>000001 [7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>100000=>000001 [7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>100001=>100001 [7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>100000=>000001 [7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>100001=>100001 [7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>100000=>000001 [7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>100000=>000001 [7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>100000=>000001 [7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>100001=>100001 [7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>100010=>010001 [7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>100011=>110001 [7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>100000=>000001 [7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>100000=>000001 [7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>100000=>000001 [7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>100001=>100001 [7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>100010=>010001 [7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>100011=>110001 [7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>100000=>000001 [7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>100000=>000001 [7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>100000=>000001 [7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>100000=>000001 [7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>100000=>000001 [7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>100000=>000001 [7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>100000=>000001 [7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>100000=>000001 [7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>100000=>000001 [7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>100001=>100001 [7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>100000=>000001 [7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>100001=>100001 [7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>100000=>000001 [7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>100000=>000001 [7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>100000=>000001 [7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>100001=>100001 [7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>100010=>010001 [7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>100011=>110001 [7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>100100=>001001 [7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>100100=>001001 [7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>100100=>001001 [7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>100101=>101001 [7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>100110=>011001 [7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>100111=>111001 [7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>100000=>000001 [7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>100000=>000001 [7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>100000=>000001 [7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>100000=>000001 [7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>100000=>000001 [7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>100000=>000001 [7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>100000=>000001 [7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>100000=>000001 [7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>100000=>000001 [7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>100001=>100001 [7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>100000=>000001 [7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>100001=>100001 [7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>100000=>000001 [7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>100000=>000001 [7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>100000=>000001 [7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>100001=>100001 [7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>100010=>010001 [7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>100011=>110001 [7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>100100=>001001 [7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>100100=>001001 [7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>100100=>001001 [7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>100101=>101001 [7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>100110=>011001 [7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>100111=>111001 [7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>100000=>000001 [7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>100000=>000001 [7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>100000=>000001 [7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>100000=>000001 [7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>100000=>000001 [7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>100000=>000001 [7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>100000=>000001 [7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>100000=>000001 [7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>100000=>000001 [7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>100000=>000001 [7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>100000=>000001 [7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>100000=>000001 [7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>100000=>000001 [7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>100000=>000001 [7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>100000=>000001 [7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>100000=>000001 [7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>100000=>000001 [7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>100000=>000001 [7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>100000=>000001 [7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>100000=>000001 [7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>100000=>000001 [7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>100000=>000001 [7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>100000=>000001 [7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>100000=>000001 [7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>100000=>000001 [7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>100000=>000001 [7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>100000=>000001 [7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>100000=>000001 [7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>100000=>000001 [7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>100000=>000001 [7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>100000=>000001 [7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>100000=>000001 [7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>100000=>000001 [7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>100001=>100001 [7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>100000=>000001 [7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>100001=>100001 [7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>100000=>000001 [7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>100000=>000001 [7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>100000=>000001 [7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>100001=>100001 [7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>100000=>000001 [7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>100001=>100001 [7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>100000=>000001 [7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>100000=>000001 [7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>100000=>000001 [7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>100001=>100001 [7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>100000=>000001 [7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>100001=>100001 [7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>100000=>000001 [7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>100000=>000001 [7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>100000=>000001 [7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>100000=>000001 [7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>100000=>000001 [7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>100000=>000001 [7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>100000=>000001 [7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>100000=>000001 [7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>100000=>000001 [7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>100001=>100001 [7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>100000=>000001 [7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>100001=>100001 [7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>100000=>000001 [7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>100000=>000001 [7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>100000=>000001 [7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>100001=>100001 [7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>100010=>010001 [7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>100011=>110001 [7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>100000=>000001 [7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>100000=>000001 [7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>100000=>000001 [7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>100001=>100001 [7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>100010=>010001 [7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>100011=>110001 [7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>100000=>000001 [7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>100000=>000001 [7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>100000=>000001 [7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>100000=>000001 [7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>100000=>000001 [7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>100000=>000001 [7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>100000=>000001 [7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>100000=>000001 [7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>100000=>000001 [7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>100001=>100001 [7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>100000=>000001 [7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>100001=>100001 [7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>100000=>000001 [7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>100000=>000001 [7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>100000=>000001 [7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>100001=>100001 [7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>100010=>010001 [7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>100011=>110001 [7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>100100=>001001 [7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>100100=>001001 [7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>100100=>001001 [7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>100101=>101001 [7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>100110=>011001 [7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>100111=>111001 [7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>101000=>000101 [7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>101000=>000101 [7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>101000=>000101 [7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>101000=>000101 [7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>101000=>000101 [7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>101000=>000101 [7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>101000=>000101 [7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>101000=>000101 [7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>101000=>000101 [7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>101001=>100101 [7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>101000=>000101 [7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>101001=>100101 [7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>101000=>000101 [7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>101000=>000101 [7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>101000=>000101 [7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>101001=>100101 [7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>101010=>010101 [7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>101011=>110101 [7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>101100=>001101 [7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>101100=>001101 [7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>101100=>001101 [7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>101101=>101101 [7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>101110=>011101 [7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>101111=>111101 [7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>110000=>000011 [7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>110000=>000011 [7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>110000=>000011 [7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>110000=>000011 [7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>110000=>000011 [7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>110000=>000011 [7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>110000=>000011 [7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>110000=>000011 [7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>110000=>000011 [7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>110000=>000011 [7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>110000=>000011 [7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>110000=>000011 [7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>110000=>000011 [7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>110000=>000011 [7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>110000=>000011 [7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>110000=>000011 [7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>110000=>000011 [7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>110000=>000011 [7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>110000=>000011 [7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>110000=>000011 [7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>110000=>000011 [7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>110000=>000011 [7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>110000=>000011 [7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>110000=>000011 [7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>110000=>000011 [7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>110000=>000011 [7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>110000=>000011 [7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>110000=>000011 [7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>110000=>000011 [7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>110000=>000011 [7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>110000=>000011 [7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>110000=>000011 [7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>110000=>000011 [7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>110001=>100011 [7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>110000=>000011 [7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>110001=>100011 [7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>110000=>000011 [7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>110000=>000011 [7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>110000=>000011 [7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>110001=>100011 [7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>110000=>000011 [7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>110001=>100011 [7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>110000=>000011 [7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>110000=>000011 [7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>110000=>000011 [7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>110001=>100011 [7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>110000=>000011 [7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>110001=>100011 [7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>110000=>000011 [7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>110000=>000011 [7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>110000=>000011 [7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>110000=>000011 [7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>110000=>000011 [7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>110000=>000011 [7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>110000=>000011 [7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>110000=>000011 [7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>110000=>000011 [7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>110001=>100011 [7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>110000=>000011 [7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>110001=>100011 [7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>110000=>000011 [7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>110000=>000011 [7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>110000=>000011 [7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>110001=>100011 [7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>110010=>010011 [7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>110011=>110011 [7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>110000=>000011 [7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>110000=>000011 [7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>110000=>000011 [7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>110001=>100011 [7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>110010=>010011 [7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>110011=>110011 [7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>110000=>000011 [7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>110000=>000011 [7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>110000=>000011 [7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>110000=>000011 [7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>110000=>000011 [7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>110000=>000011 [7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>110000=>000011 [7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>110000=>000011 [7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>110000=>000011 [7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>110001=>100011 [7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>110000=>000011 [7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>110001=>100011 [7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>110000=>000011 [7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>110000=>000011 [7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>110000=>000011 [7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>110001=>100011 [7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>110010=>010011 [7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>110011=>110011 [7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>110100=>001011 [7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>110100=>001011 [7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>110100=>001011 [7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>110101=>101011 [7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>110110=>011011 [7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>110111=>111011 [7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>111000=>000111 [7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>111000=>000111 [7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>111000=>000111 [7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>111000=>000111 [7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>111000=>000111 [7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>111000=>000111 [7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>111000=>000111 [7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>111000=>000111 [7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>111000=>000111 [7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>111001=>100111 [7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>111000=>000111 [7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>111001=>100111 [7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>111000=>000111 [7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>111000=>000111 [7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>111000=>000111 [7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>111001=>100111 [7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>111010=>010111 [7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>111011=>110111 [7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>111100=>001111 [7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>111100=>001111 [7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>111100=>001111 [7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>111101=>101111 [7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>111110=>011111 [7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>111111=>111111 [8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>1111111=>1111111 [7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>0111111=>1111110 [8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>1011111=>1111101 [7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>0011111=>1111100 [6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>0011111=>1111100 [8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>1101111=>1111011 [7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>0101111=>1111010 [8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>1001111=>1111001 [8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>1001111=>1111001 [7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>0001111=>1111000 [6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>0001111=>1111000 [7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>0001111=>1111000 [6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>0001111=>1111000 [5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>0001111=>1111000 [8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>1110111=>1110111 [8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>1010111=>1110101 [7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>0000111=>1110000 [6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>0000111=>1110000 [7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>0000111=>1110000 [6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>0000111=>1110000 [5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>0000111=>1110000 [7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>0000111=>1110000 [6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>0000111=>1110000 [7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>0000111=>1110000 [7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>0000111=>1110000 [6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>0000111=>1110000 [5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>0000111=>1110000 [6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>0000111=>1110000 [5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>0000111=>1110000 [4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>0000111=>1110000 [8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>1111011=>1101111 [7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>0111011=>1101110 [8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>1011011=>1101101 [8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>1101011=>1101011 [7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>0101011=>1101010 [6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>0001011=>1101000 [5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>0001011=>1101000 [8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>1110011=>1100111 [6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>0010011=>1100100 [8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>1100011=>1100011 [7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>0100011=>1100010 [7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>0100011=>1100010 [8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>1100011=>1100011 [8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>1000011=>1100001 [8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>1000011=>1100001 [8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>1000011=>1100001 [8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>1000011=>1100001 [8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>1000011=>1100001 [8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>1000011=>1100001 [8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>1000011=>1100001 [6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>0000011=>1100000 [5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>0000011=>1100000 [4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>0000011=>1100000 [5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>0000011=>1100000 [7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>0000011=>1100000 [7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>0000011=>1100000 [6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>0000011=>1100000 [4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>0000011=>1100000 [5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>0000011=>1100000 [5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>0000011=>1100000 [4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>0000011=>1100000 [8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>1111101=>1011111 [8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>1011101=>1011101 [8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>1001101=>1011001 [5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>0001101=>1011000 [8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>1110101=>1010111 [8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>1010101=>1010101 [7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>0010101=>1010100 [6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>0010101=>1010100 [8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>1000101=>1010001 [7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>0000101=>1010000 [6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>0000101=>1010000 [6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>0000101=>1010000 [4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>0000101=>1010000 [8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>1111001=>1001111 [8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>1101001=>1001011 [7,8,5,6,3,2,4,1]=>[2,1,4,3,6,7,5,8]=>0101001=>1001010 [8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>1001001=>1001001 [8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>1001001=>1001001 [5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>0001001=>1001000 [8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>1111001=>1001111 [8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>1011001=>1001101 [6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>0011001=>1001100 [8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>1001001=>1001001 [5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>0001001=>1001000 [8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>1110001=>1000111 [8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>1110001=>1000111 [8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>1010001=>1000101 [7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>0010001=>1000100 [6,7,8,3,4,2,5,1]=>[3,2,1,6,5,7,4,8]=>0010001=>1000100 [8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>1110001=>1000111 [6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>0010001=>1000100 [8,7,6,3,2,4,5,1]=>[1,2,3,6,7,5,4,8]=>1110001=>1000111 [7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>0110001=>1000110 [8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>1110001=>1000111 [8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>1100001=>1000011 [8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>1100001=>1000011 [8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>1100001=>1000011 [7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>0100001=>1000010 [8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>1100001=>1000011 [8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>1000001=>1000001 [8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>1000001=>1000001 [8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>1000001=>1000001 [8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>1000001=>1000001 [8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>1000001=>1000001 [8,6,4,5,2,3,7,1]=>[1,3,5,4,7,6,2,8]=>1000001=>1000001 [8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>1000001=>1000001 [8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>1000001=>1000001 [8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>1000001=>1000001 [7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>0000001=>1000000 [6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>0000001=>1000000 [4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>0000001=>1000000 [7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>0000001=>1000000 [6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>0000001=>1000000 [6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>0000001=>1000000 [7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>0000001=>1000000 [6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>0000001=>1000000 [6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>0000001=>1000000 [5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>0000001=>1000000 [4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>0000001=>1000000 [6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>0000001=>1000000 [4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>0000001=>1000000 [6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>0000001=>1000000 [6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>0000001=>1000000 [5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>0000001=>1000000 [4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>0000001=>1000000 [6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>0000001=>1000000 [7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>0000001=>1000000 [7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>0000001=>1000000 [7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>0000001=>1000000 [6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>0000001=>1000000 [7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>0000001=>1000000 [6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>0000001=>1000000 [7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>0000001=>1000000 [6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>0000001=>1000000 [7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>0000001=>1000000 [7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>0000001=>1000000 [4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>0000001=>1000000 [4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>0000001=>1000000 [3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>0000001=>1000000 [5,6,4,2,3,7,8,1]=>[4,3,5,7,6,2,1,8]=>0000001=>1000000 [6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>0000001=>1000000 [5,4,6,2,3,7,8,1]=>[4,5,3,7,6,2,1,8]=>0000001=>1000000 [6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>0000001=>1000000 [6,4,3,2,5,7,8,1]=>[3,5,6,7,4,2,1,8]=>0000001=>1000000 [6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>0000001=>1000000 [5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>0000001=>1000000 [5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>0000001=>1000000 [4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>0000001=>1000000 [3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>0000001=>1000000 [5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>0000001=>1000000 [5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>0000001=>1000000 [5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>0000001=>1000000 [4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>0000001=>1000000 [3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>0000001=>1000000 [4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>0000001=>1000000 [3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>0000001=>1000000 [2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>0000001=>1000000 [8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>1111110=>0111111 [7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>0111110=>0111110 [8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>1101110=>0111011 [7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>0101110=>0111010 [8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>1001110=>0111001 [5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>0001110=>0111000 [7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>0110110=>0110110 [8,7,4,5,6,3,1,2]=>[1,2,5,4,3,6,8,7]=>1100110=>0110011 [7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>0100110=>0110010 [8,6,4,5,7,3,1,2]=>[1,3,5,4,2,6,8,7]=>1000110=>0110001 [6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>0000110=>0110000 [7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>0000110=>0110000 [5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>0000110=>0110000 [4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>0000110=>0110000 [8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>1111010=>0101111 [7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>0111010=>0101110 [8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>1011010=>0101101 [8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>1101010=>0101011 [7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>0101010=>0101010 [6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>0001010=>0101000 [6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>0001010=>0101000 [5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>0001010=>0101000 [8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>1110010=>0100111 [8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>1110010=>0100111 [7,8,6,3,4,5,1,2]=>[2,1,3,6,5,4,8,7]=>0110010=>0100110 [7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>0010010=>0100100 [7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>0100010=>0100010 [7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>0100010=>0100010 [7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>0100010=>0100010 [8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>1000010=>0100001 [6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>0000010=>0100000 [5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>0000010=>0100000 [4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>0000010=>0100000 [6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>0000010=>0100000 [5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>0000010=>0100000 [5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>0000010=>0100000 [3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>0000010=>0100000 [8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>1111100=>0011111 [7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>0011100=>0011100 [6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>0011100=>0011100 [8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]=>1101100=>0011011 [8,6,5,7,4,2,1,3]=>[1,3,4,2,5,7,8,6]=>1001100=>0011001 [5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>0001100=>0011000 [8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>1110100=>0010111 [8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>1010100=>0010101 [8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>1100100=>0010011 [6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>0000100=>0010000 [6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>0000100=>0010000 [4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>0000100=>0010000 [8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>1111100=>0011111 [6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>0011100=>0011100 [8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>1001100=>0011001 [6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>0001100=>0011000 [5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>0001100=>0011000 [8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>1110100=>0010111 [7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>0110100=>0010110 [8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>1010100=>0010101 [8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>1100100=>0010011 [7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>0000100=>0010000 [6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>0000100=>0010000 [7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>0000100=>0010000 [6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>0000100=>0010000 [5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>0000100=>0010000 [7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>0000100=>0010000 [6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>0000100=>0010000 [7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>0000100=>0010000 [7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>0000100=>0010000 [6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>0000100=>0010000 [5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>0000100=>0010000 [6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>0000100=>0010000 [5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>0000100=>0010000 [4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>0000100=>0010000 [8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>1111000=>0001111 [7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>0111000=>0001110 [8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>1011000=>0001101 [8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>1101000=>0001011 [8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>1001000=>0001001 [7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>0001000=>0001000 [6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>0001000=>0001000 [5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>0001000=>0001000 [8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>1111000=>0001111 [7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>0001000=>0001000 [5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>0001000=>0001000 [8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>1111000=>0001111 [8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>1011000=>0001101 [6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>0011000=>0001100 [8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>1101000=>0001011 [7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>0101000=>0001010 [8,6,5,7,3,1,2,4]=>[1,3,4,2,6,8,7,5]=>1001000=>0001001 [6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>0001000=>0001000 [5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>0001000=>0001000 [8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>1111000=>0001111 [7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>0011000=>0001100 [6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>0011000=>0001100 [8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>1101000=>0001011 [7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>0101000=>0001010 [8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>1001000=>0001001 [6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>0001000=>0001000 [6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>0001000=>0001000 [5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>0001000=>0001000 [8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>1111000=>0001111 [7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>0111000=>0001110 [8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>1011000=>0001101 [7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>0011000=>0001100 [6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>0011000=>0001100 [8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>1101000=>0001011 [7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>0101000=>0001010 [8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>1001000=>0001001 [8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>1001000=>0001001 [7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>0001000=>0001000 [6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>0001000=>0001000 [7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>0001000=>0001000 [6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>0001000=>0001000 [5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>0001000=>0001000 [8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>1110000=>0000111 [7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>0010000=>0000100 [6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>0010000=>0000100 [8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>1110000=>0000111 [6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>0010000=>0000100 [8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>1110000=>0000111 [6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>0010000=>0000100 [8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>1110000=>0000111 [6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>0010000=>0000100 [8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>1110000=>0000111 [6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>0010000=>0000100 [8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>1110000=>0000111 [6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>0010000=>0000100 [8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>1110000=>0000111 [8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>1010000=>0000101 [7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>0010000=>0000100 [6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>0010000=>0000100 [8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>1110000=>0000111 [6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>0010000=>0000100 [8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>1110000=>0000111 [6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>0010000=>0000100 [8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>1110000=>0000111 [7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>0010000=>0000100 [6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>0010000=>0000100 [8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>1110000=>0000111 [7,6,8,2,3,1,4,5]=>[2,3,1,7,6,8,5,4]=>0010000=>0000100 [6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>0010000=>0000100 [8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>1110000=>0000111 [7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>0110000=>0000110 [8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>1010000=>0000101 [7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>0010000=>0000100 [6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>0010000=>0000100 [8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>1110000=>0000111 [7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>0110000=>0000110 [6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>0010000=>0000100 [8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>1110000=>0000111 [7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>0110000=>0000110 [8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>1010000=>0000101 [7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>0010000=>0000100 [6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>0010000=>0000100 [7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>0100000=>0000010 [8,7,5,2,3,4,1,6]=>[1,2,4,7,6,5,8,3]=>1100000=>0000011 [7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>0100000=>0000010 [7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>0100000=>0000010 [7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>0100000=>0000010 [8,7,4,5,3,1,2,6]=>[1,2,5,4,6,8,7,3]=>1100000=>0000011 [8,7,5,3,4,1,2,6]=>[1,2,4,6,5,8,7,3]=>1100000=>0000011 [7,8,5,3,4,1,2,6]=>[2,1,4,6,5,8,7,3]=>0100000=>0000010 [8,7,3,4,5,1,2,6]=>[1,2,6,5,4,8,7,3]=>1100000=>0000011 [8,7,4,5,2,1,3,6]=>[1,2,5,4,7,8,6,3]=>1100000=>0000011 [8,7,4,5,1,2,3,6]=>[1,2,5,4,8,7,6,3]=>1100000=>0000011 [7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>0100000=>0000010 [8,7,5,3,1,2,4,6]=>[1,2,4,6,8,7,5,3]=>1100000=>0000011 [8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>1100000=>0000011 [7,8,5,2,1,3,4,6]=>[2,1,4,7,8,6,5,3]=>0100000=>0000010 [8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>1100000=>0000011 [7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>0100000=>0000010 [8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>1100000=>0000011 [7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>0100000=>0000010 [8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>1100000=>0000011 [7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>0100000=>0000010 [8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>1100000=>0000011 [7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>0100000=>0000010 [8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>1000000=>0000001 [8,6,5,2,3,4,1,7]=>[1,3,4,7,6,5,8,2]=>1000000=>0000001 [8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>1000000=>0000001 [8,6,3,4,5,1,2,7]=>[1,3,6,5,4,8,7,2]=>1000000=>0000001 [8,4,3,5,6,1,2,7]=>[1,5,6,4,3,8,7,2]=>1000000=>0000001 [8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>1000000=>0000001 [8,5,6,4,2,1,3,7]=>[1,4,3,5,7,8,6,2]=>1000000=>0000001 [8,5,6,4,1,2,3,7]=>[1,4,3,5,8,7,6,2]=>1000000=>0000001 [8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>1000000=>0000001 [8,6,5,2,3,1,4,7]=>[1,3,4,7,6,8,5,2]=>1000000=>0000001 [8,5,6,2,3,1,4,7]=>[1,4,3,7,6,8,5,2]=>1000000=>0000001 [8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>1000000=>0000001 [8,5,6,2,1,3,4,7]=>[1,4,3,7,8,6,5,2]=>1000000=>0000001 [8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>1000000=>0000001 [8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>1000000=>0000001 [8,6,3,4,2,1,5,7]=>[1,3,6,5,7,8,4,2]=>1000000=>0000001 [8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>1000000=>0000001 [8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>1000000=>0000001 [8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>1000000=>0000001 [8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>1000000=>0000001 [8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>1000000=>0000001 [8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>1000000=>0000001 [8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>1000000=>0000001 [8,5,2,3,4,1,6,7]=>[1,4,7,6,5,8,3,2]=>1000000=>0000001 [8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>1000000=>0000001 [8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>1000000=>0000001 [8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>1000000=>0000001 [8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>1000000=>0000001 [8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>1000000=>0000001 [8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>1000000=>0000001 [8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>1000000=>0000001 [8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>1000000=>0000001 [8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>1000000=>0000001 [8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>1000000=>0000001 [8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>1000000=>0000001 [8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>1000000=>0000001 [8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>1000000=>0000001 [8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>1000000=>0000001 [8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>1000000=>0000001 [7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>0000000=>0000000 [7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>0000000=>0000000 [7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>0000000=>0000000 [4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>0000000=>0000000 [7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>0000000=>0000000 [7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>0000000=>0000000 [5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>0000000=>0000000 [7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>0000000=>0000000 [7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>0000000=>0000000 [6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>0000000=>0000000 [4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>0000000=>0000000 [4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>0000000=>0000000 [3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>0000000=>0000000 [7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>0000000=>0000000 [7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>0000000=>0000000 [7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>0000000=>0000000 [6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>0000000=>0000000 [7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>0000000=>0000000 [6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>0000000=>0000000 [5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>0000000=>0000000 [6,7,3,2,4,5,1,8]=>[3,2,6,7,5,4,8,1]=>0000000=>0000000 [7,6,2,3,4,5,1,8]=>[2,3,7,6,5,4,8,1]=>0000000=>0000000 [7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>0000000=>0000000 [7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>0000000=>0000000 [4,5,6,3,2,7,1,8]=>[5,4,3,6,7,2,8,1]=>0000000=>0000000 [6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>0000000=>0000000 [4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>0000000=>0000000 [5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>0000000=>0000000 [3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>0000000=>0000000 [4,5,6,2,3,7,1,8]=>[5,4,3,7,6,2,8,1]=>0000000=>0000000 [5,6,3,2,4,7,1,8]=>[4,3,6,7,5,2,8,1]=>0000000=>0000000 [6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>0000000=>0000000 [5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>0000000=>0000000 [5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>0000000=>0000000 [7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>0000000=>0000000 [7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>0000000=>0000000 [6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>0000000=>0000000 [5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>0000000=>0000000 [7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>0000000=>0000000 [7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>0000000=>0000000 [6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>0000000=>0000000 [7,5,3,4,6,1,2,8]=>[2,4,6,5,3,8,7,1]=>0000000=>0000000 [5,4,3,6,7,1,2,8]=>[4,5,6,3,2,8,7,1]=>0000000=>0000000 [4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>0000000=>0000000 [5,3,4,6,7,1,2,8]=>[4,6,5,3,2,8,7,1]=>0000000=>0000000 [3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>0000000=>0000000 [7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>0000000=>0000000 [4,5,6,7,2,1,3,8]=>[5,4,3,2,7,8,6,1]=>0000000=>0000000 [5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>0000000=>0000000 [7,5,4,6,1,2,3,8]=>[2,4,5,3,8,7,6,1]=>0000000=>0000000 [7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>0000000=>0000000 [5,6,4,7,1,2,3,8]=>[4,3,5,2,8,7,6,1]=>0000000=>0000000 [5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>0000000=>0000000 [4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>0000000=>0000000 [5,6,7,3,1,2,4,8]=>[4,3,2,6,8,7,5,1]=>0000000=>0000000 [6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>0000000=>0000000 [5,6,7,2,1,3,4,8]=>[4,3,2,7,8,6,5,1]=>0000000=>0000000 [7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>0000000=>0000000 [7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>0000000=>0000000 [6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>0000000=>0000000 [5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>0000000=>0000000 [7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>0000000=>0000000 [6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>0000000=>0000000 [7,6,4,1,2,3,5,8]=>[2,3,5,8,7,6,4,1]=>0000000=>0000000 [6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>0000000=>0000000 [7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>0000000=>0000000 [6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>0000000=>0000000 [7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>0000000=>0000000 [7,5,2,3,4,1,6,8]=>[2,4,7,6,5,8,3,1]=>0000000=>0000000 [7,4,3,5,1,2,6,8]=>[2,5,6,4,8,7,3,1]=>0000000=>0000000 [7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>0000000=>0000000 [7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>0000000=>0000000 [7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>0000000=>0000000 [7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>0000000=>0000000 [7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>0000000=>0000000 [6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>0000000=>0000000 [3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>0000000=>0000000 [5,6,4,2,3,1,7,8]=>[4,3,5,7,6,8,2,1]=>0000000=>0000000 [5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>0000000=>0000000 [6,5,2,3,4,1,7,8]=>[3,4,7,6,5,8,2,1]=>0000000=>0000000 [5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>0000000=>0000000 [4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>0000000=>0000000 [5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>0000000=>0000000 [5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>0000000=>0000000 [4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>0000000=>0000000 [5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>0000000=>0000000 [5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>0000000=>0000000 [5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>0000000=>0000000 [5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>0000000=>0000000 [5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>0000000=>0000000 [6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>0000000=>0000000 [6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>0000000=>0000000 [6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>0000000=>0000000 [5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>0000000=>0000000 [4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>0000000=>0000000 [5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>0000000=>0000000 [4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>0000000=>0000000 [3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>0000000=>0000000 [5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>0000000=>0000000 [4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>0000000=>0000000 [5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>0000000=>0000000 [5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>0000000=>0000000 [4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>0000000=>0000000 [3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>0000000=>0000000 [4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>0000000=>0000000 [3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>0000000=>0000000 [2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>0000000=>0000000 [5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>0000000=>0000000 [5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>0000000=>0000000 [5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>0000000=>0000000 [5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>0000000=>0000000 [5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>0000000=>0000000 [5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>0000000=>0000000 [5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>0000000=>0000000 [5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>0000000=>0000000 [5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>0000000=>0000000 [4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>0000000=>0000000 [3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>0000000=>0000000 [2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>0000000=>0000000 [3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>0000000=>0000000 [4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>0000000=>0000000 [1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000=>0000000 [6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>0011111=>1111100 [5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>0001111=>1111000 [5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>0001111=>1111000 [6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>0001111=>1111000 [5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>0001111=>1111000 [5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>0001111=>1111000 [4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>0000111=>1110000 [4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>0000111=>1110000 [4,6,8,7,5,3,2,1]=>[5,3,1,2,4,6,7,8]=>0000111=>1110000 [4,7,6,8,5,3,2,1]=>[5,2,3,1,4,6,7,8]=>0000111=>1110000 [4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>0000111=>1110000 [5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>0000111=>1110000 [4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>0000111=>1110000 [4,5,7,8,6,3,2,1]=>[5,4,2,1,3,6,7,8]=>0000111=>1110000 [4,6,5,8,7,3,2,1]=>[5,3,4,1,2,6,7,8]=>0000111=>1110000 [4,5,6,8,7,3,2,1]=>[5,4,3,1,2,6,7,8]=>0000111=>1110000 [5,7,6,4,8,3,2,1]=>[4,2,3,5,1,6,7,8]=>0000111=>1110000 [4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>0000111=>1110000 [4,6,7,5,8,3,2,1]=>[5,3,2,4,1,6,7,8]=>0000111=>1110000 [5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>0000111=>1110000 [4,5,7,6,8,3,2,1]=>[5,4,2,3,1,6,7,8]=>0000111=>1110000 [4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>0000111=>1110000 [3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>0000011=>1100000 [3,5,6,8,7,4,2,1]=>[6,4,3,1,2,5,7,8]=>0000011=>1100000 [3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>0000011=>1100000 [3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>0000011=>1100000 [4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>0000011=>1100000 [4,5,3,7,8,6,2,1]=>[5,4,6,2,1,3,7,8]=>0000011=>1100000 [4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>0000011=>1100000 [4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>0000011=>1100000 [3,5,6,4,8,7,2,1]=>[6,4,3,5,1,2,7,8]=>0000011=>1100000 [4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>0000011=>1100000 [4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>0000011=>1100000 [4,3,5,6,8,7,2,1]=>[5,6,4,3,1,2,7,8]=>0000011=>1100000 [4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>0000011=>1100000 [3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>0000011=>1100000 [4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>0000011=>1100000 [3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>0000011=>1100000 [2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>0000001=>1000000 [2,6,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>0000001=>1000000 [2,5,6,8,7,4,3,1]=>[7,4,3,1,2,5,6,8]=>0000001=>1000000 [2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>0000001=>1000000 [2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>0000001=>1000000 [2,4,6,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>0000001=>1000000 [2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>0000001=>1000000 [2,5,4,8,7,6,3,1]=>[7,4,5,1,2,3,6,8]=>0000001=>1000000 [2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>0000001=>1000000 [2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>0000001=>1000000 [3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>0000001=>1000000 [3,2,6,8,7,5,4,1]=>[6,7,3,1,2,4,5,8]=>0000001=>1000000 [3,2,6,7,8,5,4,1]=>[6,7,3,2,1,4,5,8]=>0000001=>1000000 [3,2,7,6,5,8,4,1]=>[6,7,2,3,4,1,5,8]=>0000001=>1000000 [3,2,6,5,7,8,4,1]=>[6,7,3,4,2,1,5,8]=>0000001=>1000000 [2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>0000001=>1000000 [2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>0000001=>1000000 [2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>0000001=>1000000 [2,3,5,7,6,8,4,1]=>[7,6,4,2,3,1,5,8]=>0000001=>1000000 [2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>0000001=>1000000 [4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]=>0000001=>1000000 [4,3,2,7,8,6,5,1]=>[5,6,7,2,1,3,4,8]=>0000001=>1000000 [4,3,2,6,8,7,5,1]=>[5,6,7,3,1,2,4,8]=>0000001=>1000000 [3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>0000001=>1000000 [2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>0000001=>1000000 [3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>0000001=>1000000 [2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>0000001=>1000000 [4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>0000001=>1000000 [4,3,5,2,8,7,6,1]=>[5,6,4,7,1,2,3,8]=>0000001=>1000000 [4,3,2,5,8,7,6,1]=>[5,6,7,4,1,2,3,8]=>0000001=>1000000 [6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]=>0000001=>1000000 [3,5,4,6,2,8,7,1]=>[6,4,5,3,7,1,2,8]=>0000001=>1000000 [3,4,2,6,5,8,7,1]=>[6,5,7,3,4,1,2,8]=>0000001=>1000000 [3,7,6,5,4,2,8,1]=>[6,2,3,4,5,7,1,8]=>0000001=>1000000 [3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>0000001=>1000000 [3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>0000001=>1000000 [4,3,6,5,7,2,8,1]=>[5,6,3,4,2,7,1,8]=>0000001=>1000000 [2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>0000001=>1000000 [2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>0000001=>1000000 [2,5,4,6,7,3,8,1]=>[7,4,5,3,2,6,1,8]=>0000001=>1000000 [3,2,6,7,5,4,8,1]=>[6,7,3,2,4,5,1,8]=>0000001=>1000000 [3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>0000001=>1000000 [3,2,5,6,7,4,8,1]=>[6,7,4,3,2,5,1,8]=>0000001=>1000000 [2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>0000001=>1000000 [2,3,6,7,5,4,8,1]=>[7,6,3,2,4,5,1,8]=>0000001=>1000000 [2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>0000001=>1000000 [4,3,2,7,6,5,8,1]=>[5,6,7,2,3,4,1,8]=>0000001=>1000000 [4,3,2,6,7,5,8,1]=>[5,6,7,3,2,4,1,8]=>0000001=>1000000 [2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>0000001=>1000000 [3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>0000001=>1000000 [2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>0000001=>1000000 [4,3,5,2,7,6,8,1]=>[5,6,4,7,2,3,1,8]=>0000001=>1000000 [3,4,5,2,7,6,8,1]=>[6,5,4,7,2,3,1,8]=>0000001=>1000000 [3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>0000001=>1000000 [2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>0000001=>1000000 [4,3,2,5,7,6,8,1]=>[5,6,7,4,2,3,1,8]=>0000001=>1000000 [2,6,5,4,3,7,8,1]=>[7,3,4,5,6,2,1,8]=>0000001=>1000000 [4,3,2,6,5,7,8,1]=>[5,6,7,3,4,2,1,8]=>0000001=>1000000 [2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>0000001=>1000000 [2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>0000001=>1000000 [2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>0000001=>1000000 [1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>0000000=>0000000 [1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>0000000=>0000000 [1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>0000000=>0000000 [1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>0000000=>0000000 [1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>0000000=>0000000 [1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>0000000=>0000000 [1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>0000000=>0000000 [1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>0000000=>0000000 [1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>0000000=>0000000 [1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>0000000=>0000000 [1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>0000000=>0000000 [1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>0000000=>0000000 [1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>0000000=>0000000 [1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>0000000=>0000000 [1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>0000000=>0000000 [1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>0000000=>0000000 [1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>0000000=>0000000 [1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>0000000=>0000000 [1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>0000000=>0000000 [1,5,4,3,8,7,6,2]=>[8,4,5,6,1,2,3,7]=>0000000=>0000000 [1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>0000000=>0000000 [1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>0000000=>0000000 [1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>0000000=>0000000 [1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>0000000=>0000000 [1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>0000000=>0000000 [1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>0000000=>0000000 [1,6,5,4,3,7,8,2]=>[8,3,4,5,6,2,1,7]=>0000000=>0000000 [1,5,4,6,3,7,8,2]=>[8,4,5,3,6,2,1,7]=>0000000=>0000000 [1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>0000000=>0000000 [1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>0000000=>0000000 [1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>0000000=>0000000 [2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>0000000=>0000000 [2,1,7,8,6,5,4,3]=>[7,8,2,1,3,4,5,6]=>0000000=>0000000 [2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>0000000=>0000000 [2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>0000000=>0000000 [2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>0000000=>0000000 [2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>0000000=>0000000 [2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>0000000=>0000000 [2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>0000000=>0000000 [2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>0000000=>0000000 [2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>0000000=>0000000 [2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>0000000=>0000000 [2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>0000000=>0000000 [2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>0000000=>0000000 [2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>0000000=>0000000 [2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>0000000=>0000000 [2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>0000000=>0000000 [2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>0000000=>0000000 [2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>0000000=>0000000 [2,1,5,6,7,4,8,3]=>[7,8,4,3,2,5,1,6]=>0000000=>0000000 [2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>0000000=>0000000 [2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>0000000=>0000000 [2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>0000000=>0000000 [1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>0000000=>0000000 [1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>0000000=>0000000 [1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000=>0000000 [1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>0000000=>0000000 [1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>0000000=>0000000 [1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>0000000=>0000000 [1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>0000000=>0000000 [1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>0000000=>0000000 [1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>0000000=>0000000 [1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>0000000=>0000000 [3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>0000000=>0000000 [3,2,1,7,8,6,5,4]=>[6,7,8,2,1,3,4,5]=>0000000=>0000000 [3,2,1,6,8,7,5,4]=>[6,7,8,3,1,2,4,5]=>0000000=>0000000 [3,2,1,7,6,8,5,4]=>[6,7,8,2,3,1,4,5]=>0000000=>0000000 [3,2,1,6,7,8,5,4]=>[6,7,8,3,2,1,4,5]=>0000000=>0000000 [3,2,1,5,8,7,6,4]=>[6,7,8,4,1,2,3,5]=>0000000=>0000000 [3,2,1,5,7,8,6,4]=>[6,7,8,4,2,1,3,5]=>0000000=>0000000 [3,2,1,6,5,8,7,4]=>[6,7,8,3,4,1,2,5]=>0000000=>0000000 [3,2,1,5,6,8,7,4]=>[6,7,8,4,3,1,2,5]=>0000000=>0000000 [3,2,1,7,6,5,8,4]=>[6,7,8,2,3,4,1,5]=>0000000=>0000000 [3,2,1,6,7,5,8,4]=>[6,7,8,3,2,4,1,5]=>0000000=>0000000 [3,2,1,5,7,6,8,4]=>[6,7,8,4,2,3,1,5]=>0000000=>0000000 [3,2,1,6,5,7,8,4]=>[6,7,8,3,4,2,1,5]=>0000000=>0000000 [3,2,1,5,6,7,8,4]=>[6,7,8,4,3,2,1,5]=>0000000=>0000000 [2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>0000000=>0000000 [2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,4,5]=>0000000=>0000000 [2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>0000000=>0000000 [2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>0000000=>0000000 [2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>0000000=>0000000 [1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>0000000=>0000000 [1,3,2,6,7,5,8,4]=>[8,6,7,3,2,4,1,5]=>0000000=>0000000 [1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>0000000=>0000000 [2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>0000000=>0000000 [2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>0000000=>0000000 [2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>0000000=>0000000 [2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>0000000=>0000000 [1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000=>0000000 [1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000=>0000000 [1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000=>0000000 [1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>0000000=>0000000 [1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000=>0000000 [1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000=>0000000 [1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>0000000=>0000000 [1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000=>0000000 [1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>0000000=>0000000 [1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>0000000=>0000000 [1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>0000000=>0000000 [1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000=>0000000 [1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000=>0000000 [1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000=>0000000 [4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>0000000=>0000000 [4,3,2,1,7,8,6,5]=>[5,6,7,8,2,1,3,4]=>0000000=>0000000 [4,3,2,1,6,8,7,5]=>[5,6,7,8,3,1,2,4]=>0000000=>0000000 [4,3,2,1,7,6,8,5]=>[5,6,7,8,2,3,1,4]=>0000000=>0000000 [4,3,2,1,6,7,8,5]=>[5,6,7,8,3,2,1,4]=>0000000=>0000000 [3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>0000000=>0000000 [3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>0000000=>0000000 [3,4,2,1,6,8,7,5]=>[6,5,7,8,3,1,2,4]=>0000000=>0000000 [3,4,2,1,7,6,8,5]=>[6,5,7,8,2,3,1,4]=>0000000=>0000000 [3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>0000000=>0000000 [2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>0000000=>0000000 [2,4,3,1,7,8,6,5]=>[7,5,6,8,2,1,3,4]=>0000000=>0000000 [2,4,3,1,6,8,7,5]=>[7,5,6,8,3,1,2,4]=>0000000=>0000000 [2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>0000000=>0000000 [2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>0000000=>0000000 [3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>0000000=>0000000 [3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>0000000=>0000000 [3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>0000000=>0000000 [3,2,4,1,7,6,8,5]=>[6,7,5,8,2,3,1,4]=>0000000=>0000000 [3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>0000000=>0000000 [2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>0000000=>0000000 [2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>0000000=>0000000 [2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>0000000=>0000000 [2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>0000000=>0000000 [2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>0000000=>0000000 [1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>0000000=>0000000 [1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>0000000=>0000000 [1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>0000000=>0000000 [1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>0000000=>0000000 [1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>0000000=>0000000 [1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>0000000=>0000000 [1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>0000000=>0000000 [2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>0000000=>0000000 [2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>0000000=>0000000 [2,1,4,3,6,8,7,5]=>[7,8,5,6,3,1,2,4]=>0000000=>0000000 [2,1,4,3,7,6,8,5]=>[7,8,5,6,2,3,1,4]=>0000000=>0000000 [2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>0000000=>0000000 [1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000=>0000000 [1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000=>0000000 [1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>0000000=>0000000 [3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>0000000=>0000000 [3,2,1,4,7,8,6,5]=>[6,7,8,5,2,1,3,4]=>0000000=>0000000 [3,2,1,4,7,6,8,5]=>[6,7,8,5,2,3,1,4]=>0000000=>0000000 [3,2,1,4,6,7,8,5]=>[6,7,8,5,3,2,1,4]=>0000000=>0000000 [2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>0000000=>0000000 [2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>0000000=>0000000 [2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>0000000=>0000000 [1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>0000000=>0000000 [1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>0000000=>0000000 [1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>0000000=>0000000 [2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>0000000=>0000000 [2,1,3,4,7,6,8,5]=>[7,8,6,5,2,3,1,4]=>0000000=>0000000 [2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>0000000=>0000000 [1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000=>0000000 [1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000=>0000000 [1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000=>0000000 [1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000=>0000000 [5,4,3,2,1,7,8,6]=>[4,5,6,7,8,2,1,3]=>0000000=>0000000 [4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>0000000=>0000000 [3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>0000000=>0000000 [3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>0000000=>0000000 [2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>0000000=>0000000 [2,3,4,5,1,8,7,6]=>[7,6,5,4,8,1,2,3]=>0000000=>0000000 [1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>0000000=>0000000 [1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>0000000=>0000000 [1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000=>0000000 [1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000=>0000000 [4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>0000000=>0000000 [4,3,2,1,5,7,8,6]=>[5,6,7,8,4,2,1,3]=>0000000=>0000000 [3,4,2,1,5,8,7,6]=>[6,5,7,8,4,1,2,3]=>0000000=>0000000 [2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>0000000=>0000000 [3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>0000000=>0000000 [3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>0000000=>0000000 [2,3,4,1,5,8,7,6]=>[7,6,5,8,4,1,2,3]=>0000000=>0000000 [2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>0000000=>0000000 [1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>0000000=>0000000 [2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>0000000=>0000000 [3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>0000000=>0000000 [2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>0000000=>0000000 [1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000=>0000000 [6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>0000000=>0000000 [5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>0000000=>0000000 [4,6,5,3,2,1,8,7]=>[5,3,4,6,7,8,1,2]=>0000000=>0000000 [5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>0000000=>0000000 [4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>0000000=>0000000 [3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>0000000=>0000000 [3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>0000000=>0000000 [4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>0000000=>0000000 [5,4,3,6,2,1,8,7]=>[4,5,6,3,7,8,1,2]=>0000000=>0000000 [4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>0000000=>0000000 [3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>0000000=>0000000 [2,5,4,6,3,1,8,7]=>[7,4,5,3,6,8,1,2]=>0000000=>0000000 [2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>0000000=>0000000 [5,4,3,2,6,1,8,7]=>[4,5,6,7,3,8,1,2]=>0000000=>0000000 [4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>0000000=>0000000 [3,4,5,2,6,1,8,7]=>[6,5,4,7,3,8,1,2]=>0000000=>0000000 [2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>0000000=>0000000 [3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>0000000=>0000000 [4,3,2,5,6,1,8,7]=>[5,6,7,4,3,8,1,2]=>0000000=>0000000 [1,4,5,3,6,2,8,7]=>[8,5,4,6,3,7,1,2]=>0000000=>0000000 [2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>0000000=>0000000 [2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>0000000=>0000000 [2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>0000000=>0000000 [2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>0000000=>0000000 [1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>0000000=>0000000 [1,2,5,4,6,3,8,7]=>[8,7,4,5,3,6,1,2]=>0000000=>0000000 [2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>0000000=>0000000 [1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000=>0000000 [4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>0000000=>0000000 [3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>0000000=>0000000 [2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>0000000=>0000000 [3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>0000000=>0000000 [2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>0000000=>0000000 [2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>0000000=>0000000 [5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>0000000=>0000000 [3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>0000000=>0000000 [2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>0000000=>0000000 [3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>0000000=>0000000 [2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>0000000=>0000000 [1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>0000000=>0000000 [4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>0000000=>0000000 [2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>0000000=>0000000 [3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>0000000=>0000000 [2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>0000000=>0000000 [2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>0000000=>0000000 [3,4,7,6,5,2,1,8]=>[6,5,2,3,4,7,8,1]=>0000000=>0000000 [4,5,3,7,6,2,1,8]=>[5,4,6,2,3,7,8,1]=>0000000=>0000000 [4,3,5,7,6,2,1,8]=>[5,6,4,2,3,7,8,1]=>0000000=>0000000 [3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>0000000=>0000000 [3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>0000000=>0000000 [2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>0000000=>0000000 [4,3,2,7,6,5,1,8]=>[5,6,7,2,3,4,8,1]=>0000000=>0000000 [3,4,2,6,7,5,1,8]=>[6,5,7,3,2,4,8,1]=>0000000=>0000000 [3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>0000000=>0000000 [2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>0000000=>0000000 [4,5,3,2,7,6,1,8]=>[5,4,6,7,2,3,8,1]=>0000000=>0000000 [3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>0000000=>0000000 [3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>0000000=>0000000 [3,2,4,5,7,6,1,8]=>[6,7,5,4,2,3,8,1]=>0000000=>0000000 [4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>0000000=>0000000 [3,5,4,6,2,7,1,8]=>[6,4,5,3,7,2,8,1]=>0000000=>0000000 [1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>0000000=>0000000 [1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>0000000=>0000000 [2,1,5,6,7,4,3,8]=>[7,8,4,3,2,5,6,1]=>0000000=>0000000 [3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>0000000=>0000000 [3,2,1,6,7,5,4,8]=>[6,7,8,3,2,4,5,1]=>0000000=>0000000 [3,2,1,5,7,6,4,8]=>[6,7,8,4,2,3,5,1]=>0000000=>0000000 [2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>0000000=>0000000 [1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>0000000=>0000000 [1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>0000000=>0000000 [1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000=>0000000 [4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>0000000=>0000000 [4,3,2,1,6,7,5,8]=>[5,6,7,8,3,2,4,1]=>0000000=>0000000 [3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>0000000=>0000000 [3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>0000000=>0000000 [3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>0000000=>0000000 [2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>0000000=>0000000 [2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>0000000=>0000000 [1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000=>0000000 [1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>0000000=>0000000 [1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>0000000=>0000000 [1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000=>0000000 [3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>0000000=>0000000 [1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>0000000=>0000000 [1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000=>0000000 [5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>0000000=>0000000 [3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>0000000=>0000000 [4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>0000000=>0000000 [3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>0000000=>0000000 [2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>0000000=>0000000 [1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000=>0000000 [1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000=>0000000 [2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>0000000=>0000000 [2,1,4,6,5,3,7,8]=>[7,8,5,3,4,6,2,1]=>0000000=>0000000 [2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>0000000=>0000000 [1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000=>0000000 [3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>0000000=>0000000 [2,3,1,6,5,4,7,8]=>[7,6,8,3,4,5,2,1]=>0000000=>0000000 [1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000=>0000000 [2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>0000000=>0000000 [1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000=>0000000 [4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>0000000=>0000000 [3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>0000000=>0000000 [2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>0000000=>0000000 [1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>0000000=>0000000 [2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>0000000=>0000000 [1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000=>0000000 [3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>0000000=>0000000 [2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>0000000=>0000000 [2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>0000000=>0000000 [3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>0000000=>0000000 [2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>0000000=>0000000 [2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>0000000=>0000000 [1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000=>0000000 [1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000=>0000000 [1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000=>0000000 [1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>0000000=>0000000 [1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>0000000=>0000000 [1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>0000000=>0000000 [1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>0000000=>0000000 [1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>0000000=>0000000 [1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>0000000=>0000000 [1,2,4,8,5,7,6,3]=>[8,7,5,1,4,2,3,6]=>0000000=>0000000 [1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>0000000=>0000000 [1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>0000000=>0000000 [1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>0000000=>0000000 [1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>0000000=>0000000 [1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>0000000=>0000000 [1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>0000000=>0000000 [1,3,7,5,4,6,8,2]=>[8,6,2,4,5,3,1,7]=>0000000=>0000000 [1,3,8,5,4,7,6,2]=>[8,6,1,4,5,2,3,7]=>0000000=>0000000 [1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>0000000=>0000000 [1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>0000000=>0000000 [1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>0000000=>0000000 [1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>0000000=>0000000 [1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>0000000=>0000000 [1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>0000000=>0000000 [1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>0000000=>0000000 [1,7,3,4,5,6,8,2]=>[8,2,6,5,4,3,1,7]=>0000000=>0000000 [1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>0000000=>0000000 [1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>0000000=>0000000 [1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>0000000=>0000000 [1,8,3,5,7,6,4,2]=>[8,1,6,4,2,3,5,7]=>0000000=>0000000 [1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>0000000=>0000000 [1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>0000000=>0000000 [1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>0000000=>0000000 [1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>0000000=>0000000 [1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>0000000=>0000000 [1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>0000000=>0000000 [1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>0000000=>0000000 [1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>0000000=>0000000 [1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>0000000=>0000000 [1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>0000000=>0000000 [1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>0000000=>0000000 [2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>0000000=>0000000 [2,1,4,5,8,6,7,3]=>[7,8,5,4,1,3,2,6]=>0000000=>0000000 [2,1,5,4,8,6,7,3]=>[7,8,4,5,1,3,2,6]=>0000000=>0000000 [2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>0000000=>0000000 [2,1,6,4,5,7,8,3]=>[7,8,3,5,4,2,1,6]=>0000000=>0000000 [2,1,8,4,6,7,5,3]=>[7,8,1,5,3,2,4,6]=>0000000=>0000000 [2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>0000000=>0000000 [2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>0000000=>0000000 [2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>0000000=>0000000 [2,1,8,5,6,7,4,3]=>[7,8,1,4,3,2,5,6]=>0000000=>0000000 [2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>0000000=>0000000 [2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>0000000=>0000000 [2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>0000000=>0000000 [2,3,4,1,8,6,7,5]=>[7,6,5,8,1,3,2,4]=>0000000=>0000000 [2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>0000001=>1000000 [2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>0000001=>1000000 [2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>0000001=>1000000 [2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>0000001=>1000000 [2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>0000000=>0000000 [2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>0000001=>1000000 [2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>0000001=>1000000 [2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>0000001=>1000000 [2,3,7,5,6,4,8,1]=>[7,6,2,4,3,5,1,8]=>0000001=>1000000 [2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>0000001=>1000000 [2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>0000000=>0000000 [2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>0000001=>1000000 [2,6,3,5,4,7,8,1]=>[7,3,6,4,5,2,1,8]=>0000001=>1000000 [2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>0000001=>1000000 [2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>0000001=>1000000 [2,6,4,5,3,7,8,1]=>[7,3,5,4,6,2,1,8]=>0000001=>1000000 [2,8,4,5,3,6,7,1]=>[7,1,5,4,6,3,2,8]=>0000001=>1000000 [2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>0000001=>1000000 [2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>0000001=>1000000 [2,7,5,4,6,3,1,8]=>[7,2,4,5,3,6,8,1]=>0000000=>0000000 [2,7,5,4,6,3,8,1]=>[7,2,4,5,3,6,1,8]=>0000001=>1000000 [3,2,1,5,8,6,7,4]=>[6,7,8,4,1,3,2,5]=>0000000=>0000000 [3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>0000000=>0000000 [3,2,1,7,5,6,8,4]=>[6,7,8,2,4,3,1,5]=>0000000=>0000000 [3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>0000000=>0000000 [3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>0000000=>0000000 [3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>0000000=>0000000 [3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>0000000=>0000000 [3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>0000000=>0000000 [3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>0000001=>1000000 [3,2,5,4,8,6,7,1]=>[6,7,4,5,1,3,2,8]=>0000001=>1000000 [3,2,6,4,5,1,7,8]=>[6,7,3,5,4,8,2,1]=>0000000=>0000000 [3,2,6,4,5,1,8,7]=>[6,7,3,5,4,8,1,2]=>0000000=>0000000 [3,2,7,5,4,6,8,1]=>[6,7,2,4,5,3,1,8]=>0000001=>1000000 [3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>0000000=>0000000 [3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>0000001=>1000000 [3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>0000001=>1000000 [4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>0000000=>0000000 [4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>0000000=>0000000 [4,2,3,1,7,6,8,5]=>[5,7,6,8,2,3,1,4]=>0000000=>0000000 [4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>0000000=>0000000 [4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>0000000=>0000000 [4,2,3,5,1,7,8,6]=>[5,7,6,4,8,2,1,3]=>0000000=>0000000 [4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>0000000=>0000000 [4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>0000001=>1000000 [4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>0000001=>1000000 [4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>0000001=>1000000 [5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>0000000=>0000000 [6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>0000000=>0000000 [8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>1000001=>1000001 [7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>0000000=>0000000 [8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>1000001=>1000001 [8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>1000001=>1000001 [5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>0000000=>0000000 [5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>0000000=>0000000 [5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>0000001=>1000000 [6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>0000001=>1000000 [7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>0000000=>0000000 [7,2,4,5,6,3,1,8]=>[2,7,5,4,3,6,8,1]=>0000000=>0000000 [6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>0000000=>0000000 [8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>1000001=>1000001 [7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>0000000=>0000000 [8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>1000001=>1000001 [8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>1000001=>1000001 [8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>1000001=>1000001 [4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>0000000=>0000000 [4,3,2,7,5,6,8,1]=>[5,6,7,2,4,3,1,8]=>0000001=>1000000 [5,3,2,4,7,6,8,1]=>[4,6,7,5,2,3,1,8]=>0000001=>1000000 [6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>0000000=>0000000 [6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>0000000=>0000000 [7,3,2,5,4,6,8,1]=>[2,6,7,4,5,3,1,8]=>0000001=>1000000 [8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>1000001=>1000001 [8,3,2,5,6,4,7,1]=>[1,6,7,4,3,5,2,8]=>1000001=>1000001 [8,3,2,5,6,7,4,1]=>[1,6,7,4,3,2,5,8]=>1000001=>1000001 [8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>1000001=>1000001 [5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>0000000=>0000000 [5,3,4,2,1,8,7,6]=>[4,6,5,7,8,1,2,3]=>0000000=>0000000 [5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>0000000=>0000000 [5,3,4,2,7,6,1,8]=>[4,6,5,7,2,3,8,1]=>0000000=>0000000 [5,3,4,2,7,6,8,1]=>[4,6,5,7,2,3,1,8]=>0000001=>1000000 [5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>0000001=>1000000 [5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>0000001=>1000000 [6,3,4,2,5,1,8,7]=>[3,6,5,7,4,8,1,2]=>0000000=>0000000 [7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>0000000=>0000000 [7,3,4,2,6,5,8,1]=>[2,6,5,7,3,4,1,8]=>0000001=>1000000 [7,3,4,6,5,2,1,8]=>[2,6,5,3,4,7,8,1]=>0000000=>0000000 [6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>0000000=>0000000 [8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>1000001=>1000001 [7,3,5,4,6,2,1,8]=>[2,6,4,5,3,7,8,1]=>0000000=>0000000 [8,3,5,4,7,6,2,1]=>[1,6,4,5,2,3,7,8]=>1000011=>1100001 [7,3,6,4,5,2,1,8]=>[2,6,3,5,4,7,8,1]=>0000000=>0000000 [8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>1000011=>1100001 [7,3,6,5,4,2,1,8]=>[2,6,3,4,5,7,8,1]=>0000000=>0000000 [8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>1000011=>1100001 [8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>1000001=>1000001 [8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>1000011=>1100001 [8,4,3,6,5,7,2,1]=>[1,5,6,3,4,2,7,8]=>1000011=>1100001 [6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>0000000=>0000000 [8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>1000001=>1000001 [8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>1100011=>1100011 [7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>0000000=>0000000 [8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>1000001=>1000001 [8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>1100011=>1100011 [8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>1100011=>1100011 [8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>1000001=>1000001 [8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>1100011=>1100011 [2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>0000000=>0000000 [2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>0000000=>0000000 [2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>0000000=>0000000 [2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>0000000=>0000000 [2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>0000000=>0000000 [2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>0000000=>0000000 [2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>0000000=>0000000 [2,4,1,6,3,7,5,8]=>[7,5,8,3,6,2,4,1]=>0000000=>0000000 [2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>0000000=>0000000 [2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>0000000=>0000000 [2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>0000000=>0000000 [2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>0000000=>0000000 [2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>0000000=>0000000 [2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>0000000=>0000000 [2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>0000000=>0000000 [2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>0000000=>0000000 [2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>0000000=>0000000 [2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>0000000=>0000000 [2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>0000000=>0000000 [2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>0000000=>0000000 [2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>0000000=>0000000 [2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>0000000=>0000000 [2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>0000000=>0000000 [2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>0000000=>0000000 [2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>0000000=>0000000 [2,1,4,7,8,3,5,6]=>[7,8,5,2,1,6,4,3]=>0000000=>0000000 [2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>0000000=>0000000 [2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>0000000=>0000000 [2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>0000000=>0000000 [2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>0000000=>0000000 [2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>0000000=>0000000 [2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>0000000=>0000000 [2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>0000000=>0000000 [2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>0000000=>0000000 [2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>0000000=>0000000 [2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>0000000=>0000000 [2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>0000000=>0000000 [2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>0000000=>0000000 [2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>0000000=>0000000 [2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>0000000=>0000000 [2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>0000000=>0000000 [2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>0000000=>0000000 [2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>0000000=>0000000 [2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>0000000=>0000000 [2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>0000000=>0000000 [2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>0000000=>0000000 [2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>0000000=>0000000 [2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>0000000=>0000000 [2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>0000000=>0000000 [2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>0000000=>0000000 [2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>0000000=>0000000 [2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>0000000=>0000000 [2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>0000000=>0000000 [2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>0000000=>0000000 [2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>0000000=>0000000 [2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>0000000=>0000000 [2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>0000000=>0000000 [2,5,1,6,3,7,8,4]=>[7,4,8,3,6,2,1,5]=>0000000=>0000000 [2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>0000000=>0000000 [2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>0000000=>0000000 [2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>0000000=>0000000 [2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>0000000=>0000000 [2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>0000000=>0000000 [2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>0000000=>0000000 [2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>0000000=>0000000 [2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>0000000=>0000000 [2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>0000000=>0000000 [2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>0000000=>0000000 [2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>0000000=>0000000 [2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>0000000=>0000000 [2,1,5,7,8,3,4,6]=>[7,8,4,2,1,6,5,3]=>0000000=>0000000 [2,5,7,1,8,3,4,6]=>[7,4,2,8,1,6,5,3]=>0000000=>0000000 [2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>0000000=>0000000 [2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>0000000=>0000000 [2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>0000000=>0000000 [2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>0000000=>0000000 [2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>0000000=>0000000 [2,5,1,3,4,7,8,6]=>[7,4,8,6,5,2,1,3]=>0000000=>0000000 [2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>0000000=>0000000 [2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>0000000=>0000000 [2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>0000000=>0000000 [2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>0000000=>0000000 [2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>0000000=>0000000 [2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>0000000=>0000000 [2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>0000000=>0000000 [2,1,6,3,7,4,8,5]=>[7,8,3,6,2,5,1,4]=>0000000=>0000000 [2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>0000000=>0000000 [2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>0000000=>0000000 [2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>0000000=>0000000 [2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>0000000=>0000000 [2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>0000000=>0000000 [2,6,7,1,8,3,4,5]=>[7,3,2,8,1,6,5,4]=>0000000=>0000000 [2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>0000000=>0000000 [2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>0000000=>0000000 [2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>0000000=>0000000 [2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>0000000=>0000000 [2,3,6,1,7,8,4,5]=>[7,6,3,8,2,1,5,4]=>0000000=>0000000 [2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>0000000=>0000000 [2,1,6,8,3,4,5,7]=>[7,8,3,1,6,5,4,2]=>0000000=>0000000 [2,6,1,3,4,5,8,7]=>[7,3,8,6,5,4,1,2]=>0000000=>0000000 [2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>0000000=>0000000 [2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>0000000=>0000000 [2,1,7,3,8,4,5,6]=>[7,8,2,6,1,5,4,3]=>0000000=>0000000 [2,7,1,8,3,4,5,6]=>[7,2,8,1,6,5,4,3]=>0000000=>0000000 [2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>0000000=>0000000 [2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>0000000=>0000000 [2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>0000000=>0000000 [2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>0000000=>0000000 [2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>0000000=>0000000 [2,3,4,7,1,5,8,6]=>[7,6,5,2,8,4,1,3]=>0000000=>0000000 [2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>0000000=>0000000 [2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>0000000=>0000000 [2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>0000000=>0000000 [2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>0000000=>0000000 [2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>0000000=>0000000 [2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>0000000=>0000000 [2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>0000000=>0000000 [2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>0000000=>0000000 [2,1,3,8,4,5,6,7]=>[7,8,6,1,5,4,3,2]=>0000000=>0000000 [2,3,1,8,4,5,6,7]=>[7,6,8,1,5,4,3,2]=>0000000=>0000000 [2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>0000000=>0000000 [2,1,3,4,8,5,6,7]=>[7,8,6,5,1,4,3,2]=>0000000=>0000000 [2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>0000000=>0000000 [2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>0000000=>0000000 [2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>0000000=>0000000 [2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>0000000=>0000000 [3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>0000000=>0000000 [3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>0000000=>0000000 [3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>0000000=>0000000 [3,4,1,2,6,8,5,7]=>[6,5,8,7,3,1,4,2]=>0000000=>0000000 [3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>0000000=>0000000 [3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>0000000=>0000000 [3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>0000000=>0000000 [3,1,4,2,6,5,7,8]=>[6,8,5,7,3,4,2,1]=>0000000=>0000000 [3,4,1,2,6,5,7,8]=>[6,5,8,7,3,4,2,1]=>0000000=>0000000 [3,4,1,6,2,5,7,8]=>[6,5,8,3,7,4,2,1]=>0000000=>0000000 [3,4,1,2,6,7,5,8]=>[6,5,8,7,3,2,4,1]=>0000000=>0000000 [3,1,4,6,2,7,5,8]=>[6,8,5,3,7,2,4,1]=>0000000=>0000000 [3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>0000000=>0000000 [3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>0000000=>0000000 [3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>0000000=>0000000 [3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>0000000=>0000000 [3,1,4,6,2,7,8,5]=>[6,8,5,3,7,2,1,4]=>0000000=>0000000 [3,4,6,1,2,7,8,5]=>[6,5,3,8,7,2,1,4]=>0000000=>0000000 [3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>0000000=>0000000 [3,4,1,6,7,8,2,5]=>[6,5,8,3,2,1,7,4]=>0000000=>0000000 [3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>0000000=>0000000 [3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>0000000=>0000000 [3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>0000000=>0000000 [3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>0000000=>0000000 [3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>0000000=>0000000 [3,4,1,7,2,5,8,6]=>[6,5,8,2,7,4,1,3]=>0000000=>0000000 [3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>0000000=>0000000 [3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>0000000=>0000000 [3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>0000000=>0000000 [3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>0000000=>0000000 [3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>0000000=>0000000 [3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>0000000=>0000000 [3,4,1,2,7,5,6,8]=>[6,5,8,7,2,4,3,1]=>0000000=>0000000 [3,1,4,2,5,7,6,8]=>[6,8,5,7,4,2,3,1]=>0000000=>0000000 [3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>0000000=>0000000 [3,1,4,2,5,7,8,6]=>[6,8,5,7,4,2,1,3]=>0000000=>0000000 [3,4,1,2,5,7,8,6]=>[6,5,8,7,4,2,1,3]=>0000000=>0000000 [3,4,5,7,1,2,8,6]=>[6,5,4,2,8,7,1,3]=>0000000=>0000000 [3,1,4,2,8,5,6,7]=>[6,8,5,7,1,4,3,2]=>0000000=>0000000 [3,4,1,2,8,5,6,7]=>[6,5,8,7,1,4,3,2]=>0000000=>0000000 [3,1,4,8,2,5,6,7]=>[6,8,5,1,7,4,3,2]=>0000000=>0000000 [3,4,1,8,2,5,6,7]=>[6,5,8,1,7,4,3,2]=>0000000=>0000000 [3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>0000000=>0000000 [3,4,1,2,5,8,6,7]=>[6,5,8,7,4,1,3,2]=>0000000=>0000000 [3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>0000000=>0000000 [3,4,1,2,5,6,8,7]=>[6,5,8,7,4,3,1,2]=>0000000=>0000000 [3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>0000000=>0000000 [3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>0000000=>0000000 [3,4,1,5,6,8,2,7]=>[6,5,8,4,3,1,7,2]=>0000000=>0000000 [3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>0000000=>0000000 [3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>0000000=>0000000 [3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>0000000=>0000000 [3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>0000000=>0000000 [3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>0000000=>0000000 [3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>0000000=>0000000 [3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>0000000=>0000000 [3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>0000000=>0000000 [3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>0000000=>0000000 [3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>0000000=>0000000 [3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>0000000=>0000000 [3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>0000000=>0000000 [3,5,1,6,2,8,4,7]=>[6,4,8,3,7,1,5,2]=>0000000=>0000000 [3,5,6,1,2,8,4,7]=>[6,4,3,8,7,1,5,2]=>0000000=>0000000 [3,1,5,2,6,4,7,8]=>[6,8,4,7,3,5,2,1]=>0000000=>0000000 [3,5,1,2,6,4,7,8]=>[6,4,8,7,3,5,2,1]=>0000000=>0000000 [3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>0000000=>0000000 [3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>0000000=>0000000 [3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>0000000=>0000000 [3,1,5,6,2,7,8,4]=>[6,8,4,3,7,2,1,5]=>0000000=>0000000 [3,5,6,1,2,7,8,4]=>[6,4,3,8,7,2,1,5]=>0000000=>0000000 [3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>0000000=>0000000 [3,5,1,6,7,2,8,4]=>[6,4,8,3,2,7,1,5]=>0000000=>0000000 [3,5,6,1,7,2,8,4]=>[6,4,3,8,2,7,1,5]=>0000000=>0000000 [3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>0000000=>0000000 [3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>0000000=>0000000 [3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>0000000=>0000000 [3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>0000000=>0000000 [3,5,1,7,2,4,8,6]=>[6,4,8,2,7,5,1,3]=>0000000=>0000000 [3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>0000000=>0000000 [3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>0000000=>0000000 [3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>0000000=>0000000 [3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>0000000=>0000000 [3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>0000000=>0000000 [3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>0000000=>0000000 [3,1,5,7,8,2,4,6]=>[6,8,4,2,1,7,5,3]=>0000000=>0000000 [3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>0000000=>0000000 [3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>0000000=>0000000 [3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>0000000=>0000000 [3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>0000000=>0000000 [3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>0000000=>0000000 [3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>0000000=>0000000 [3,1,2,5,7,4,8,6]=>[6,8,7,4,2,5,1,3]=>0000000=>0000000 [1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>0000000=>0000000 [1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>0000000=>0000000 [3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>0000000=>0000000 [3,1,5,8,2,4,6,7]=>[6,8,4,1,7,5,3,2]=>0000000=>0000000 [3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>0000000=>0000000 [3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>0000000=>0000000 [3,1,5,2,4,8,6,7]=>[6,8,4,7,5,1,3,2]=>0000000=>0000000 [1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000=>0000000 [1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>0000000=>0000000 [1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000=>0000000 [3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>0000000=>0000000 [3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>0000000=>0000000 [3,1,2,5,4,6,8,7]=>[6,8,7,4,5,3,1,2]=>0000000=>0000000 [1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000=>0000000 [1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>0000000=>0000000 [1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>0000000=>0000000 [1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>0000000=>0000000 [3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>0000000=>0000000 [1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>0000000=>0000000 [3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>0000000=>0000000 [3,6,1,2,7,4,8,5]=>[6,3,8,7,2,5,1,4]=>0000000=>0000000 [3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>0000000=>0000000 [3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>0000000=>0000000 [3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>0000000=>0000000 [3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>0000000=>0000000 [3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>0000000=>0000000 [3,6,7,1,8,2,4,5]=>[6,3,2,8,1,7,5,4]=>0000000=>0000000 [3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>0000000=>0000000 [3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>0000000=>0000000 [3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>0000000=>0000000 [3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>0000000=>0000000 [1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>0000000=>0000000 [3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>0000000=>0000000 [1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>0000000=>0000000 [3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>0000000=>0000000 [3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>0000000=>0000000 [3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>0000000=>0000000 [3,1,2,6,4,8,5,7]=>[6,8,7,3,5,1,4,2]=>0000000=>0000000 [3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>0000000=>0000000 [1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000=>0000000 [1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>0000000=>0000000 [3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>0000000=>0000000 [3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>0000000=>0000000 [3,1,7,8,2,4,5,6]=>[6,8,2,1,7,5,4,3]=>0000000=>0000000 [3,7,1,8,2,4,5,6]=>[6,2,8,1,7,5,4,3]=>0000000=>0000000 [3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>0000000=>0000000 [3,1,7,2,4,8,5,6]=>[6,8,2,7,5,1,4,3]=>0000000=>0000000 [3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>0000000=>0000000 [3,1,2,7,8,4,5,6]=>[6,8,7,2,1,5,4,3]=>0000000=>0000000 [3,1,7,2,4,5,8,6]=>[6,8,2,7,5,4,1,3]=>0000000=>0000000 [3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>0000000=>0000000 [3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>0000000=>0000000 [1,3,4,2,7,5,8,6]=>[8,6,5,7,2,4,1,3]=>0000000=>0000000 [3,1,2,4,7,8,5,6]=>[6,8,7,5,2,1,4,3]=>0000000=>0000000 [1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000=>0000000 [1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>0000000=>0000000 [1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>0000000=>0000000 [1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>0000000=>0000000 [3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>0000000=>0000000 [3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>0000000=>0000000 [3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>0000000=>0000000 [3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>0000000=>0000000 [1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000=>0000000 [1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000=>0000000 [3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>0000000=>0000000 [1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000=>0000000 [1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000=>0000000 [1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000=>0000000 [3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>0000000=>0000000 [1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>0000000=>0000000 [4,1,5,2,6,3,8,7]=>[5,8,4,7,3,6,1,2]=>0000000=>0000000 [4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>0000000=>0000000 [4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>0000000=>0000000 [4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>0000000=>0000000 [4,5,6,1,8,2,3,7]=>[5,4,3,8,1,7,6,2]=>0000000=>0000000 [4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>0000000=>0000000 [4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>0000000=>0000000 [4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>0000000=>0000000 [4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>0000000=>0000000 [4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>0000000=>0000000 [4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>0000000=>0000000 [4,5,6,1,7,8,2,3]=>[5,4,3,8,2,1,7,6]=>0000000=>0000000 [4,5,6,7,1,8,2,3]=>[5,4,3,2,8,1,7,6]=>0000000=>0000000 [4,1,5,2,7,3,8,6]=>[5,8,4,7,2,6,1,3]=>0000000=>0000000 [4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>0000000=>0000000 [4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>0000000=>0000000 [4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>0000000=>0000000 [4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>0000000=>0000000 [4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>0000000=>0000000 [4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>0000000=>0000000 [4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>0000000=>0000000 [4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>0000000=>0000000 [4,5,1,2,7,3,6,8]=>[5,4,8,7,2,6,3,1]=>0000000=>0000000 [4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>0000000=>0000000 [4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>0000000=>0000000 [4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>0000000=>0000000 [4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>0000000=>0000000 [1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>0000000=>0000000 [4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>0000000=>0000000 [4,1,2,5,3,7,8,6]=>[5,8,7,4,6,2,1,3]=>0000000=>0000000 [1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>0000000=>0000000 [1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>0000000=>0000000 [1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>0000000=>0000000 [1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>0000000=>0000000 [1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>0000000=>0000000 [4,1,5,2,8,3,6,7]=>[5,8,4,7,1,6,3,2]=>0000000=>0000000 [4,5,1,2,8,3,6,7]=>[5,4,8,7,1,6,3,2]=>0000000=>0000000 [4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>0000000=>0000000 [4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>0000000=>0000000 [1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000=>0000000 [1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000=>0000000 [4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>0000000=>0000000 [1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000=>0000000 [1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>0000000=>0000000 [4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>0000000=>0000000 [4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>0000000=>0000000 [4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>0000000=>0000000 [1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>0000000=>0000000 [4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>0000000=>0000000 [1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>0000000=>0000000 [1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000=>0000000 [4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>0000000=>0000000 [1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>0000000=>0000000 [4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>0000000=>0000000 [4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>0000000=>0000000 [4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>0000000=>0000000 [4,1,6,2,7,8,3,5]=>[5,8,3,7,2,1,6,4]=>0000000=>0000000 [4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>0000000=>0000000 [4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>0000000=>0000000 [4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>0000000=>0000000 [4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>0000000=>0000000 [4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>0000000=>0000000 [4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>0000000=>0000000 [4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>0000000=>0000000 [4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>0000000=>0000000 [4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>0000000=>0000000 [4,6,1,2,3,7,5,8]=>[5,3,8,7,6,2,4,1]=>0000000=>0000000 [4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>0000000=>0000000 [1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>0000000=>0000000 [1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>0000000=>0000000 [4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>0000000=>0000000 [1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>0000000=>0000000 [1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>0000000=>0000000 [1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>0000000=>0000000 [4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>0000000=>0000000 [4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>0000000=>0000000 [4,1,6,8,2,3,5,7]=>[5,8,3,1,7,6,4,2]=>0000000=>0000000 [4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>0000000=>0000000 [4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>0000000=>0000000 [4,1,6,2,3,8,5,7]=>[5,8,3,7,6,1,4,2]=>0000000=>0000000 [4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>0000000=>0000000 [1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000=>0000000 [1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000=>0000000 [4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>0000000=>0000000 [4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>0000000=>0000000 [4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>0000000=>0000000 [1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>0000000=>0000000 [4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>0000000=>0000000 [4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>0000000=>0000000 [1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>0000000=>0000000 [4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>0000000=>0000000 [1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000=>0000000 [4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>0000000=>0000000 [1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>0000000=>0000000 [1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>0000000=>0000000 [4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>0000000=>0000000 [4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>0000000=>0000000 [4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>0000000=>0000000 [4,7,1,8,2,3,5,6]=>[5,2,8,1,7,6,4,3]=>0000000=>0000000 [4,1,7,2,3,8,5,6]=>[5,8,2,7,6,1,4,3]=>0000000=>0000000 [4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>0000000=>0000000 [4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>0000000=>0000000 [1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000=>0000000 [4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>0000000=>0000000 [1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000=>0000000 [4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>0000000=>0000000 [4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>0000000=>0000000 [4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>0000000=>0000000 [4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>0000000=>0000000 [1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000=>0000000 [1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000=>0000000 [1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>0000000=>0000000 [4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>0000000=>0000000 [4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>0000000=>0000000 [4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>0000000=>0000000 [4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>0000000=>0000000 [1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000=>0000000 [1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000=>0000000 [4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>0000000=>0000000 [4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>0000000=>0000000 [4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>0000000=>0000000 [4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>0000000=>0000000 [4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>0000000=>0000000 [1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000=>0000000 [1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000=>0000000 [4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>0000000=>0000000 [1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000=>0000000 [1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000=>0000000 [1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000=>0000000 [4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>0000000=>0000000 [1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000=>0000000 [4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>0000000=>0000000 [1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>0000000=>0000000 [5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>0000000=>0000000 [5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>0000000=>0000000 [5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>0000000=>0000000 [5,6,1,7,2,3,8,4]=>[4,3,8,2,7,6,1,5]=>0000000=>0000000 [5,6,7,1,2,3,8,4]=>[4,3,2,8,7,6,1,5]=>0000000=>0000000 [5,1,6,2,7,8,3,4]=>[4,8,3,7,2,1,6,5]=>0000000=>0000000 [5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>0000000=>0000000 [5,1,6,7,8,2,3,4]=>[4,8,3,2,1,7,6,5]=>0000000=>0000000 [5,6,1,2,7,3,4,8]=>[4,3,8,7,2,6,5,1]=>0000000=>0000000 [5,1,6,7,2,3,4,8]=>[4,8,3,2,7,6,5,1]=>0000000=>0000000 [5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>0000000=>0000000 [5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>0000000=>0000000 [5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>0000000=>0000000 [5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>0000000=>0000000 [1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>0000000=>0000000 [5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>0000000=>0000000 [5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>0000000=>0000000 [5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>0000000=>0000000 [1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>0000000=>0000000 [5,1,2,6,7,3,8,4]=>[4,8,7,3,2,6,1,5]=>0000000=>0000000 [1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>0000000=>0000000 [5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>0000000=>0000000 [1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>0000000=>0000000 [5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>0000000=>0000000 [5,6,1,2,8,3,4,7]=>[4,3,8,7,1,6,5,2]=>0000000=>0000000 [5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>0000000=>0000000 [5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>0000000=>0000000 [5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>0000000=>0000000 [5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>0000000=>0000000 [5,6,1,2,3,8,4,7]=>[4,3,8,7,6,1,5,2]=>0000000=>0000000 [5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>0000000=>0000000 [1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>0000000=>0000000 [5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>0000000=>0000000 [1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000=>0000000 [1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000=>0000000 [5,6,1,2,3,4,8,7]=>[4,3,8,7,6,5,1,2]=>0000000=>0000000 [5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>0000000=>0000000 [1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000=>0000000 [5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>0000000=>0000000 [5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>0000000=>0000000 [5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>0000000=>0000000 [1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000=>0000000 [5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>0000000=>0000000 [1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>0000000=>0000000 [1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>0000000=>0000000 [5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>0000000=>0000000 [5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>0000000=>0000000 [1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>0000000=>0000000 [5,1,7,2,8,3,4,6]=>[4,8,2,7,1,6,5,3]=>0000000=>0000000 [5,7,1,2,8,3,4,6]=>[4,2,8,7,1,6,5,3]=>0000000=>0000000 [5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>0000000=>0000000 [5,7,1,8,2,3,4,6]=>[4,2,8,1,7,6,5,3]=>0000000=>0000000 [5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>0000000=>0000000 [5,1,7,2,3,8,4,6]=>[4,8,2,7,6,1,5,3]=>0000000=>0000000 [5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>0000000=>0000000 [1,5,7,2,3,8,4,6]=>[8,4,2,7,6,1,5,3]=>0000000=>0000000 [5,1,2,7,8,3,4,6]=>[4,8,7,2,1,6,5,3]=>0000000=>0000000 [1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>0000000=>0000000 [1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000=>0000000 [5,1,7,2,3,4,8,6]=>[4,8,2,7,6,5,1,3]=>0000000=>0000000 [5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>0000000=>0000000 [5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>0000000=>0000000 [1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000=>0000000 [1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000=>0000000 [5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>0000000=>0000000 [5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>0000000=>0000000 [5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>0000000=>0000000 [1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>0000000=>0000000 [1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>0000000=>0000000 [1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000=>0000000 [5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>0000000=>0000000 [5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>0000000=>0000000 [5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>0000000=>0000000 [1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000=>0000000 [1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>0000000=>0000000 [5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>0000000=>0000000 [1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000=>0000000 [1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000=>0000000 [1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000=>0000000 [1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000=>0000000 [6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>0000000=>0000000 [6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>0000000=>0000000 [6,1,7,8,2,3,4,5]=>[3,8,2,1,7,6,5,4]=>0000000=>0000000 [6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>0000000=>0000000 [6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>0000000=>0000000 [6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>0000000=>0000000 [6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>0000000=>0000000 [1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000=>0000000 [1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>0000000=>0000000 [6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>0000000=>0000000 [1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000=>0000000 [1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>0000000=>0000000 [1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>0000000=>0000000 [6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>0000000=>0000000 [6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>0000000=>0000000 [6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>0000000=>0000000 [1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>0000000=>0000000 [6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>0000000=>0000000 [1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>0000000=>0000000 [6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>0000000=>0000000 [1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>0000000=>0000000 [1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000=>0000000 [1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000=>0000000 [6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>0000000=>0000000 [6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>0000000=>0000000 [1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>0000000=>0000000 [1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000=>0000000 [6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>0000000=>0000000 [1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000=>0000000 [1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000=>0000000 [1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000=>0000000 [6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>0000000=>0000000 [1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000=>0000000 [1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000=>0000000 [6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>0000000=>0000000 [6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>0000000=>0000000 [6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>0000000=>0000000 [1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>0000000=>0000000 [1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000=>0000000 [6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>0000000=>0000000 [1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000=>0000000 [1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000=>0000000 [6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>0000000=>0000000 [1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000=>0000000 [1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000=>0000000 [7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>0000000=>0000000 [7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>0000000=>0000000 [1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000=>0000000 [1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>0000000=>0000000 [7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>0000000=>0000000 [7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>0000000=>0000000 [1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000=>0000000 [1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000=>0000000 [7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>0000000=>0000000 [1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000=>0000000 [1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000=>0000000 [1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000=>0000000 [1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000=>0000000 [1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000=>0000000 [1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000=>0000000 [1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000=>0000000 [1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000=>0000000 [5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>0000000=>0000000 [7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>0000000=>0000000 [8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>1000001=>1000001 [7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>0000000=>0000000 [6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>0000000=>0000000 [5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>0000000=>0000000 [3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>0000000=>0000000 [4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>0000000=>0000000 [5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>0000000=>0000000 [7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>0000000=>0000000 [8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>1000001=>1000001 [7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>0000000=>0000000 [6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>0000000=>0000000 [5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>0000000=>0000000 [4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>0000000=>0000000 [3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>0000000=>0000000 [2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>0000000=>0000000 [3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>0000000=>0000000 [4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>0000000=>0000000 [5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>0000000=>0000000 [6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>0000000=>0000000 [7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>0100010=>0100010 [6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>0001000=>0001000 [5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>0001000=>0001000 [4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>0000000=>0000000 [3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>0000000=>0000000 [2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>0000000=>0000000 [2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>0000000=>0000000 [3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>0000000=>0000000 [4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>0000000=>0000000 [5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>0001000=>0001000 [5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>0000000=>0000000 [6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>0000000=>0000000 [7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>0000000=>0000000 [8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>1000001=>1000001 [8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>1000001=>1000001 [7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>0000000=>0000000 [6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>0000000=>0000000 [5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>0000000=>0000000 [4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>0000000=>0000000 [3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>0000000=>0000000 [5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>0000000=>0000000 [6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>0000000=>0000000 [7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>0000000=>0000000 [8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>1000001=>1000001 [7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>0000000=>0000000 [6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>0000000=>0000000 [5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>0000000=>0000000 [4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>0000000=>0000000 [3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>0000000=>0000000 [2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>0000000=>0000000 [2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>0000000=>0000000 [3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>0000000=>0000000 [4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>0000000=>0000000 [5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>0001000=>0001000 [6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>0001000=>0001000 [7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>0001000=>0001000 [8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>1001001=>1001001 [5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>0001000=>0001000 [4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>0000000=>0000000 [3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>0000000=>0000000 [2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>0000000=>0000000 [3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>0000000=>0000000 [4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>0000000=>0000000 [5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>0001000=>0001000 [6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>0011100=>0011100 [2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>000000000=>000000000 [5,2,4,1,3,6,7,8]=>[4,7,5,8,6,3,2,1]=>0000000=>0000000 [6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>0000000=>0000000 [6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>0000000=>0000000 [6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>0000000=>0000000 [7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>0000000=>0000000 [7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>0000000=>0000000 [3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>0000000=>0000000 [5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>0000000=>0000000 [6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>0000000=>0000000 [6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>0000000=>0000000 [7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>0000000=>0000000 [8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>1000000=>0000001 [8,4,7,1,2,3,5,6]=>[1,5,2,8,7,6,4,3]=>1000000=>0000001 [8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>1000000=>0000001 [5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>0000000=>0000000 [5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>0000000=>0000000 [6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>0000000=>0000000 [6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>0000000=>0000000 [7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>0000000=>0000000 [3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>0000000=>0000000 [4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>0000000=>0000000 [5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>0000000=>0000000 [3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>0000000=>0000000 [4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>0000000=>0000000 [5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>0000000=>0000000 [5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>0000000=>0000000 [6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>0000000=>0000000 [6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>0000000=>0000000 [3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>0000000=>0000000 [5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>0000000=>0000000 [7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>0000000=>0000000 [8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>1000000=>0000001 [8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>1000000=>0000001 [8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>1000000=>0000001 [8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>1000000=>0000001 [8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>1000000=>0000001 [5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>0000000=>0000000 [4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>0000000=>0000000 [5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>0000000=>0000000 [5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>0000000=>0000000 [4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>0000000=>0000000 [5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>0000000=>0000000 [4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>0000000=>0000000 [5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>0000000=>0000000 [5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>0000000=>0000000 [6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>0000000=>0000000 [6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>0000000=>0000000 [6,8,3,5,1,2,4,7]=>[3,1,6,4,8,7,5,2]=>0000000=>0000000 [3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>0000000=>0000000 [4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>0000000=>0000000 [4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>0000000=>0000000 [5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>0000000=>0000000 [6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>0000000=>0000000 [6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>0000000=>0000000 [6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>0001000=>0001000 [7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>0100000=>0000010 [7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>0100000=>0000010 [4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>0000000=>0000000 [5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>0000000=>0000000 [5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>0000000=>0000000 [4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>0000000=>0000000 [5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>0000000=>0000000 [5,4,3,7,1,2,6,8]=>[4,5,6,2,8,7,3,1]=>0000000=>0000000 [6,4,2,7,1,3,5,8]=>[3,5,7,2,8,6,4,1]=>0000000=>0000000 [6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>0000000=>0000000 [7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>0000000=>0000000 [7,5,2,4,1,3,6,8]=>[2,4,7,5,8,6,3,1]=>0000000=>0000000 [7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>0000000=>0000000 [7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>0000000=>0000000 [4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>0000000=>0000000 [5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>0000000=>0000000 [5,4,3,8,1,2,6,7]=>[4,5,6,1,8,7,3,2]=>0000000=>0000000 [6,4,2,8,1,3,5,7]=>[3,5,7,1,8,6,4,2]=>0000000=>0000000 [6,4,3,8,1,2,5,7]=>[3,5,6,1,8,7,4,2]=>0000000=>0000000 [6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>0000000=>0000000 [7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>0000000=>0000000 [7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>0000000=>0000000 [7,6,4,8,1,2,3,5]=>[2,3,5,1,8,7,6,4]=>0000000=>0000000 [8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>1000000=>0000001 [8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>1000000=>0000001 [8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>1000000=>0000001 [8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>1000000=>0000001 [8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>1000000=>0000001 [8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>1000000=>0000001 [8,6,3,5,1,2,4,7]=>[1,3,6,4,8,7,5,2]=>1000000=>0000001 [8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>1000000=>0000001 [8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>1000000=>0000001 [8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>1000000=>0000001 [8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>1100000=>0000011 [8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>1100000=>0000011 [8,7,3,5,1,2,4,6]=>[1,2,6,4,8,7,5,3]=>1100000=>0000011 [8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>1100000=>0000011 [8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>1100000=>0000011 [8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>1100000=>0000011 [5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>0000000=>0000000 [5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>0000000=>0000000 [4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>0000000=>0000000 [4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>0000000=>0000000 [5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>0000000=>0000000 [5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>0000000=>0000000 [5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>0000100=>0010000 [6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>0000000=>0000000 [6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>0000000=>0000000 [3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>0000000=>0000000 [4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>0000000=>0000000 [4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>0000000=>0000000 [5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>0000000=>0000000 [3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>0000000=>0000000 [6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>0000000=>0000000 [6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>0000000=>0000000 [7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>0100000=>0000010 [4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>0000000=>0000000 [5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>0000000=>0000000 [5,4,3,6,8,1,2,7]=>[4,5,6,3,1,8,7,2]=>0000000=>0000000 [6,4,3,5,8,1,2,7]=>[3,5,6,4,1,8,7,2]=>0000000=>0000000 [4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>0000000=>0000000 [5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>0000000=>0000000 [5,4,3,7,8,1,2,6]=>[4,5,6,2,1,8,7,3]=>0000000=>0000000 [6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>0000000=>0000000 [7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>0000000=>0000000 [7,6,2,4,8,1,3,5]=>[2,3,7,5,1,8,6,4]=>0000000=>0000000 [7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>0000000=>0000000 [8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>1000000=>0000001 [8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>1000000=>0000001 [8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>1000000=>0000001 [8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>1000000=>0000001 [8,6,2,5,7,1,3,4]=>[1,3,7,4,2,8,6,5]=>1000000=>0000001 [8,6,3,5,7,1,2,4]=>[1,3,6,4,2,8,7,5]=>1000000=>0000001 [8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>1100000=>0000011 [8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>1100000=>0000011 [4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>0000000=>0000000 [5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>0000000=>0000000 [6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>0000000=>0000000 [6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>0000000=>0000000 [4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>0000000=>0000000 [5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>0000000=>0000000 [5,4,8,2,6,1,3,7]=>[4,5,1,7,3,8,6,2]=>0000000=>0000000 [6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>0000000=>0000000 [4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>0000000=>0000000 [5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>0000000=>0000000 [6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>0000000=>0000000 [6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>0000000=>0000000 [7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>0000000=>0000000 [7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>0000000=>0000000 [7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>0000000=>0000000 [7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>0000000=>0000000 [7,5,8,4,6,1,2,3]=>[2,4,1,5,3,8,7,6]=>0000100=>0010000 [7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>0010000=>0000100 [8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>1000000=>0000001 [8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>1000000=>0000001 [8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>1000000=>0000001 [8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>1000000=>0000001 [8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>1000000=>0000001 [8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>1000000=>0000001 [8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>1000000=>0000001 [8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>1000000=>0000001 [8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>1010000=>0000101 [8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>1010000=>0000101 [8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>1010000=>0000101 [5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>0000000=>0000000 [7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>0000000=>0000000 [5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>0000000=>0000000 [6,4,3,2,8,1,5,7]=>[3,5,6,7,1,8,4,2]=>0000000=>0000000 [8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>1000000=>0000001 [8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>1000000=>0000001 [8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>1100000=>0000011 [8,7,5,2,4,1,3,6]=>[1,2,4,7,5,8,6,3]=>1100000=>0000011 [8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>1100000=>0000011 [8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>1100000=>0000011 [8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>1100000=>0000011 [8,7,5,2,6,1,3,4]=>[1,2,4,7,3,8,6,5]=>1100000=>0000011 [8,7,5,3,6,1,2,4]=>[1,2,4,6,3,8,7,5]=>1100000=>0000011 [8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>1110000=>0000111 [8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>1110000=>0000111 [8,7,6,3,5,1,2,4]=>[1,2,3,6,4,8,7,5]=>1110000=>0000111 [4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>0000000=>0000000 [5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>0000000=>0000000 [5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>0000000=>0000000 [5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>0000010=>0100000 [6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>0000000=>0000000 [6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>0000000=>0000000 [6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>0000010=>0100000 [6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>0001000=>0001000 [6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>0001010=>0101000 [7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>0100000=>0000010 [7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>0100000=>0000010 [7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>0100010=>0100010 [7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>0101000=>0001010 [5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>0000000=>0000000 [6,5,3,8,2,7,1,4]=>[3,4,6,1,7,2,8,5]=>0000000=>0000000 [7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>0000000=>0000000 [7,5,4,8,2,6,1,3]=>[2,4,5,1,7,3,8,6]=>0000000=>0000000 [8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>1000000=>0000001 [8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>1000000=>0000001 [8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]=>1000010=>0100001 [8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>1000000=>0000001 [8,6,4,7,3,5,1,2]=>[1,3,5,2,6,4,8,7]=>1000010=>0100001 [8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>1100000=>0000011 [8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]=>1100000=>0000011 [8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]=>1100010=>0100011 [8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]=>1101000=>0001011 [8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>1000000=>0000001 [8,7,5,4,2,6,1,3]=>[1,2,4,5,7,3,8,6]=>1100000=>0000011 [8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>1110000=>0000111 [8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>1110000=>0000111 [8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>1111000=>0001111 [8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>1000000=>0000001 [8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>1000000=>0000001 [4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>0000000=>0000000 [4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>0000000=>0000000 [8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>1000000=>0000001 [4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>0000000=>0000000 [3,1,8,2,6,4,5,7]=>[6,8,1,7,3,5,4,2]=>0000000=>0000000 [3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>0000000=>0000000 [3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>0000000=>0000000 [8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>1000000=>0000001 [8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>1000000=>0000001 [6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>0000000=>0000000 [8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>1000000=>0000001 [6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>0000000=>0000000 [5,1,4,2,8,3,6,7]=>[4,8,5,7,1,6,3,2]=>0000000=>0000000 [5,1,4,2,7,3,8,6]=>[4,8,5,7,2,6,1,3]=>0000000=>0000000 [7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>0000000=>0000000 [8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>1000000=>0000001 [8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>1000000=>0000001 [7,1,5,2,6,3,8,4]=>[2,8,4,7,3,6,1,5]=>0000000=>0000000 [5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>0000000=>0000000 [8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>1000000=>0000001 [5,1,4,2,6,7,8,3]=>[4,8,5,7,3,2,1,6]=>0000000=>0000000 [3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>0000000=>0000000 [3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>0000000=>0000000 [8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>1000000=>0000001 [7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>0000000=>0000000 [7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>0000000=>0000000 [3,1,8,5,7,2,4,6]=>[6,8,1,4,2,7,5,3]=>0000000=>0000000 [8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>1000000=>0000001 [8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>1000000=>0000001 [2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>0000000=>0000000 [2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>0000000=>0000000 [2,7,1,6,3,4,8,5]=>[7,2,8,3,6,5,1,4]=>0000000=>0000000 [2,8,1,6,3,7,4,5]=>[7,1,8,3,6,2,5,4]=>0000000=>0000000 [2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>0000000=>0000000 [2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>0000000=>0000000 [2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>0000000=>0000000 [2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>0000000=>0000000 [8,3,1,2,7,4,5,6]=>[1,6,8,7,2,5,4,3]=>1000000=>0000001 [5,3,1,2,6,7,8,4]=>[4,6,8,7,3,2,1,5]=>0000000=>0000000 [8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>1000000=>0000001 [7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>0000000=>0000000 [5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>0000000=>0000000 [5,8,1,2,7,3,4,6]=>[4,1,8,7,2,6,5,3]=>0000000=>0000000 [8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>1100000=>0000011 [8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>1000000=>0000001 [5,4,1,2,6,7,8,3]=>[4,5,8,7,3,2,1,6]=>0000000=>0000000 [4,3,1,6,2,8,5,7]=>[5,6,8,3,7,1,4,2]=>0000000=>0000000 [4,3,1,6,2,7,8,5]=>[5,6,8,3,7,2,1,4]=>0000000=>0000000 [8,3,1,5,2,4,6,7]=>[1,6,8,4,7,5,3,2]=>1000000=>0000001 [7,3,1,5,2,4,8,6]=>[2,6,8,4,7,5,1,3]=>0000000=>0000000 [7,3,1,6,2,4,8,5]=>[2,6,8,3,7,5,1,4]=>0000000=>0000000 [8,3,1,5,2,7,4,6]=>[1,6,8,4,7,2,5,3]=>1000000=>0000001 [8,3,1,6,2,7,4,5]=>[1,6,8,3,7,2,5,4]=>1000000=>0000001 [8,4,1,5,2,3,6,7]=>[1,5,8,4,7,6,3,2]=>1000000=>0000001 [7,4,1,5,2,3,8,6]=>[2,5,8,4,7,6,1,3]=>0000000=>0000000 [8,4,1,6,2,3,5,7]=>[1,5,8,3,7,6,4,2]=>1000000=>0000001 [7,4,1,8,2,3,5,6]=>[2,5,8,1,7,6,4,3]=>0000000=>0000000 [8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>1100000=>0000011 [6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>0000000=>0000000 [6,4,1,5,2,8,3,7]=>[3,5,8,4,7,1,6,2]=>0000000=>0000000 [8,4,1,5,2,7,3,6]=>[1,5,8,4,7,2,6,3]=>1000000=>0000001 [8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>1000000=>0000001 [6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>0000000=>0000000 [4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>0000000=>0000000 [8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>1000000=>0000001 [8,3,1,7,6,2,4,5]=>[1,6,8,2,3,7,5,4]=>1000000=>0000001 [7,3,1,5,6,2,8,4]=>[2,6,8,4,3,7,1,5]=>0000000=>0000000 [8,4,1,5,6,2,3,7]=>[1,5,8,4,3,7,6,2]=>1000000=>0000001 [8,4,1,5,7,2,3,6]=>[1,5,8,4,2,7,6,3]=>1000000=>0000001 [4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>0000000=>0000000 [4,3,1,5,6,7,8,2]=>[5,6,8,4,3,2,1,7]=>0000000=>0000000 [2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>0000000=>0000000 [2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>0000000=>0000000 [2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>0000000=>0000000 [2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>0000000=>0000000 [2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>0000000=>0000000 [2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>0000000=>0000000 [2,8,4,1,6,3,5,7]=>[7,1,5,8,3,6,4,2]=>0000000=>0000000 [2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>0000000=>0000000 [2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>0000000=>0000000 [2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>0000000=>0000000 [6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>0000000=>0000000 [6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>0000000=>0000000 [6,3,7,1,2,4,8,5]=>[3,6,2,8,7,5,1,4]=>0000000=>0000000 [8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>1000000=>0000001 [6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>0000000=>0000000 [6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>0000000=>0000000 [6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>0000000=>0000000 [8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>1000000=>0000001 [6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>0000000=>0000000 [5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>0000000=>0000000 [8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>1000000=>0000001 [7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>0000000=>0000000 [8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>1000000=>0000001 [7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>0000000=>0000000 [7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>0100000=>0000010 [7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>0000000=>0000000 [5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>0000000=>0000000 [2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>0000000=>0000000 [2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>0000000=>0000000 [2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>0000000=>0000000 [2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>0000000=>0000000 [2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>0000000=>0000000 [2,8,4,6,1,3,5,7]=>[7,1,5,3,8,6,4,2]=>0000000=>0000000 [2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>0000000=>0000000 [2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>0000000=>0000000 [2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>0000000=>0000000 [7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>0000000=>0000000 [7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>0000000=>0000000 [2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>0000000=>0000000 [2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>0000000=>0000000 [2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>0000000=>0000000 [2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>0000000=>0000000 [8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>1000000=>0000001 [8,3,7,5,6,1,2,4]=>[1,6,2,4,3,8,7,5]=>1000000=>0000001 [7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>0000000=>0000000 [2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>0000000=>0000000 [6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>0001010=>0101000 [4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>0000010=>0100000 [3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>0000010=>0100000 [2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>0000000=>0000000 [1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000=>0000000 [1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>0000000=>0000000 [2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>0000000=>0000000 [3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>0000010=>0100000 [4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>0000010=>0100000 [5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>0000010=>0100000 [6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>0000010=>0100000 [6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>0000010=>0100000 [5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>0000010=>0100000 [4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>0000010=>0100000 [3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>0000000=>0000000 [4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>0000000=>0000000 [5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>0000000=>0000000 [6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>0000000=>0000000 [7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>0100000=>0000010 [7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>0100000=>0000010 [6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>0000000=>0000000 [5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>0000000=>0000000 [4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>0000000=>0000000 [5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>0000000=>0000000 [6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>0000000=>0000000 [7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>0100000=>0000010 [7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>0100000=>0000010 [6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>0000000=>0000000 [5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>0000000=>0000000 [6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>0000000=>0000000 [7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>0100000=>0000010 [7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>0100000=>0000010 [5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>0000000=>0000000 [4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>0000000=>0000000 [3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>0000000=>0000000 [2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>0000000=>0000000 [1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000=>0000000 [1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>0000000=>0000000 [2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>0000000=>0000000 [3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>0000000=>0000000 [4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>0000000=>0000000 [5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>0001000=>0001000 [7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>0101000=>0001010 [6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>0001000=>0001000 [5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>0000000=>0000000 [6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>0000000=>0000000 [7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>0100000=>0000010 [5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>0000000=>0000000 [4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>0000000=>0000000 [4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>0000000=>0000000 [5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>0000000=>0000000 [6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>0000000=>0000000 [7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>0100000=>0000010 [4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>0000000=>0000000 [8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>1000000=>0000001 [1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>0000000=>0000000 [4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>0000000=>0000000 [3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>0000000=>0000000 [1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>0000000=>0000000 [8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>1100000=>0000011 [5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>0000000=>0000000 [4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>0000000=>0000000 [3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>0000000=>0000000 [4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>0000000=>0000000 [5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>0000000=>0000000 [1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>0000000=>0000000 [6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>0000000=>0000000 [5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>0000000=>0000000 [4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>0000000=>0000000 [3,2,1,7,8,5,6,4]=>[6,7,8,2,1,4,3,5]=>0000000=>0000000 [3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>0000000=>0000000 [4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>0000000=>0000000 [5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>0000000=>0000000 [6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>0010000=>0000100 [8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>1110000=>0000111 [1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>0000000=>0000000 [7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>0010000=>0000100 [5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>0000000=>0000000 [4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>0000000=>0000000 [3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>0000000=>0000000 [4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>0000000=>0000000 [5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>0000000=>0000000 [8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>1000000=>0000001 [1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>0000000=>0000000 [1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>0000000=>0000000 [8,4,3,7,1,5,2,6]=>[1,5,6,2,8,4,7,3]=>1000000=>0000001 [4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>0000000=>0000000 [3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>0000000=>0000000 [7,4,3,1,8,2,6,5]=>[2,5,6,8,1,7,3,4]=>0000000=>0000000 [8,4,3,1,7,6,2,5]=>[1,5,6,8,2,3,7,4]=>1000000=>0000001 [1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>0000000=>0000000 [8,5,1,3,7,6,2,4]=>[1,4,8,6,2,3,7,5]=>1000000=>0000001 [5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>0000000=>0000000 [3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>0000000=>0000000 [3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>0000000=>0000000 [5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>0000000=>0000000 [6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>0000000=>0000000 [8,6,1,7,3,5,2,4]=>[1,3,8,2,6,4,7,5]=>1000000=>0000001 [8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>1100000=>0000011 [6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>0000000=>0000000 [4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>0000000=>0000000 [3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>0000000=>0000000 [4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>0000000=>0000000 [5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>0000000=>0000000 [6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>0000000=>0000000 [8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>1000000=>0000001 [3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>0000000=>0000000 [3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>0000000=>0000000 [4,2,5,3,7,6,8,1]=>[5,7,4,6,2,3,1,8]=>0000001=>1000000 [4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>0000000=>0000000 [4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>0000000=>0000000 [4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>0000000=>0000000 [3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>0000000=>0000000 [4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>0000000=>0000000 [4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>0000000=>0000000 [4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>0000000=>0000000 [4,3,6,2,7,5,8,1]=>[5,6,3,7,2,4,1,8]=>0000001=>1000000 [4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>0000000=>0000000 [4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>0000000=>0000000 [4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>0000000=>0000000 [4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>0000000=>0000000 [3,1,5,4,7,2,8,6]=>[6,8,4,5,2,7,1,3]=>0000000=>0000000 [2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>0000000=>0000000 [3,1,5,4,7,6,8,2]=>[6,8,4,5,2,3,1,7]=>0000000=>0000000 [4,1,5,3,7,6,8,2]=>[5,8,4,6,2,3,1,7]=>0000000=>0000000 [4,3,5,1,7,6,8,2]=>[5,6,4,8,2,3,1,7]=>0000000=>0000000 [4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>0000000=>0000000 [4,3,6,5,7,1,8,2]=>[5,6,3,4,2,8,1,7]=>0000000=>0000000 [5,3,6,4,7,2,8,1]=>[4,6,3,5,2,7,1,8]=>0000001=>1000000 [5,3,6,4,7,1,8,2]=>[4,6,3,5,2,8,1,7]=>0000000=>0000000 [5,3,6,1,7,4,8,2]=>[4,6,3,8,2,5,1,7]=>0000000=>0000000 [5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>0000000=>0000000 [4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>0000000=>0000000 [3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>0000000=>0000000 [2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>0000000=>0000000 [2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>0000000=>0000000 [3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>0000000=>0000000 [4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>0000000=>0000000 [5,1,6,3,7,2,8,4]=>[4,8,3,6,2,7,1,5]=>0000000=>0000000 [5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>0000000=>0000000 [5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>0000000=>0000000 [5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>0000001=>1000000 [5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>0000001=>1000000 [5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>0000000=>0000000 [5,2,6,1,7,3,8,4]=>[4,7,3,8,2,6,1,5]=>0000000=>0000000 [4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>0000000=>0000000 [4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>0000000=>0000000 [4,2,6,3,7,1,8,5]=>[5,7,3,6,2,8,1,4]=>0000000=>0000000 [4,2,6,3,7,5,8,1]=>[5,7,3,6,2,4,1,8]=>0000001=>1000000 [3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>0000001=>1000000 [3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>0000000=>0000000 [3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>0000000=>0000000 [3,2,5,1,7,4,8,6]=>[6,7,4,8,2,5,1,3]=>0000000=>0000000 [3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>0000000=>0000000 [3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>0000000=>0000000 [3,2,5,1,7,6,8,4]=>[6,7,4,8,2,3,1,5]=>0000000=>0000000 [3,2,6,1,7,5,8,4]=>[6,7,3,8,2,4,1,5]=>0000000=>0000000 [3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>0000000=>0000000 [4,2,6,5,7,3,8,1]=>[5,7,3,4,2,6,1,8]=>0000001=>1000000 [4,2,6,5,7,1,8,3]=>[5,7,3,4,2,8,1,6]=>0000000=>0000000 [4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>0000000=>0000000 [4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>0000000=>0000000 [4,1,5,2,7,6,8,3]=>[5,8,4,7,2,3,1,6]=>0000000=>0000000 [3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>0000000=>0000000 [2,1,5,3,7,6,8,4]=>[7,8,4,6,2,3,1,5]=>0000000=>0000000 [2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>0000000=>0000000 [3,1,6,2,7,5,8,4]=>[6,8,3,7,2,4,1,5]=>0000000=>0000000 [4,1,6,2,7,5,8,3]=>[5,8,3,7,2,4,1,6]=>0000000=>0000000 [5,1,6,2,7,4,8,3]=>[4,8,3,7,2,5,1,6]=>0000000=>0000000 [5,2,6,1,7,4,8,3]=>[4,7,3,8,2,5,1,6]=>0000000=>0000000 [5,2,6,4,7,1,8,3]=>[4,7,3,5,2,8,1,6]=>0000000=>0000000 [5,2,6,4,7,3,8,1]=>[4,7,3,5,2,6,1,8]=>0000001=>1000000 [5,4,6,2,7,3,8,1]=>[4,5,3,7,2,6,1,8]=>0000001=>1000000 [5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>0000000=>0000000 [5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>0000000=>0000000 [5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>0000000=>0000000 [4,1,6,5,7,2,8,3]=>[5,8,3,4,2,7,1,6]=>0000000=>0000000 [3,1,6,5,7,2,8,4]=>[6,8,3,4,2,7,1,5]=>0000000=>0000000 [2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>0000000=>0000000 [3,1,6,5,7,4,8,2]=>[6,8,3,4,2,5,1,7]=>0000000=>0000000 [4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>0000000=>0000000 [5,1,6,4,7,3,8,2]=>[4,8,3,5,2,6,1,7]=>0000000=>0000000 [5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>0000000=>0000000 [5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>0000000=>0000000 [8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>1000000=>0000001 [8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>1000000=>0000001 [8,6,3,5,2,4,1,7]=>[1,3,6,4,7,5,8,2]=>1000000=>0000001 [8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>1000001=>1000001 [2,4,5,7,3,1,8,6]=>[7,5,4,2,6,8,1,3]=>0000000=>0000000 [8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>1000000=>0000001 [8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>1000000=>0000001 [8,6,3,5,1,4,2,7]=>[1,3,6,4,8,5,7,2]=>1000000=>0000001 [8,6,1,4,5,3,2,7]=>[1,3,8,5,4,6,7,2]=>1000000=>0000001 [8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>1000000=>0000001 [8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>1000001=>1000001 [1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>0000000=>0000000 [8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]=>1000000=>0000001 [8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>1000000=>0000001 [4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>0000000=>0000000 [1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>0000000=>0000000 [3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>0000010=>0100000 [4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>0000000=>0000000 [1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>0000000=>0000000 [3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>0000001=>1000000 [2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>0000000=>0000000 [5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>0000000=>0000000 [5,3,1,7,8,2,4,6]=>[4,6,8,2,1,7,5,3]=>0000000=>0000000 [4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>0000001=>1000000 [3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>0000000=>0000000 [5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>0000000=>0000000 [4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>0000000=>0000000 [1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>0000000=>0000000 [4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>0000000=>0000000 [8,7,6,1,3,4,2,5]=>[1,2,3,8,6,5,7,4]=>1110000=>0000111 [8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>1000000=>0000001 [8,3,6,7,2,1,5,4]=>[1,6,3,2,7,8,4,5]=>1000000=>0000001 [3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>0000000=>0000000 [8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>1110001=>1000111 [2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>0000000=>0000000 [4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>0000000=>0000000 [8,5,3,7,1,6,2,4]=>[1,4,6,2,8,3,7,5]=>1000000=>0000001 [8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>1000000=>0000001 [8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>1000000=>0000001 [4,6,1,8,7,2,5,3]=>[5,3,8,1,2,7,4,6]=>0000000=>0000000 [8,1,2,5,6,7,4,3]=>[1,8,7,4,3,2,5,6]=>1000000=>0000001 [8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>1000000=>0000001 [2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>0000000=>0000000 [1,7,2,5,8,6,4,3]=>[8,2,7,4,1,3,5,6]=>0000000=>0000000 [8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]=>1110000=>0000111 [8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>1000100=>0010001 [8,7,1,5,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>1100000=>0000011 [8,1,6,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>1000000=>0000001 [3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>0000000=>0000000 [3,6,2,5,4,8,1,7]=>[6,3,7,4,5,1,8,2]=>0000000=>0000000 [5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>0000000=>0000000 [5,3,1,6,8,2,4,7]=>[4,6,8,3,1,7,5,2]=>0000000=>0000000 [5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>0000000=>0000000 [4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>0000001=>1000000 [7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>0000000=>0000000 [2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>0000000=>0000000 [1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>0000000=>0000000 [6,4,3,8,1,7,5,2]=>[3,5,6,1,8,2,4,7]=>0000000=>0000000 [4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>0000000=>0000000 [7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>0000000=>0000000 [1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>0000000=>0000000 [6,8,7,3,1,4,5,2]=>[3,1,2,6,8,5,4,7]=>0010000=>0000100 [6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>0000000=>0000000 [7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>0000000=>0000000 [5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>0000000=>0000000 [7,6,5,3,2,1,8,4]=>[2,3,4,6,7,8,1,5]=>0000000=>0000000 [6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>0000000=>0000000 [6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>0000000=>0000000 [6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>0000000=>0000000 [7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>0000000=>0000000 [5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>0000000=>0000000 [4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>0000000=>0000000 [5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>0000000=>0000000 [2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>0000001=>1000000 [3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>0000001=>1000000 [7,3,6,2,4,1,8,5]=>[2,6,3,7,5,8,1,4]=>0000000=>0000000 [3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>0000000=>0000000 [4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>0000000=>0000000 [8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>1000000=>0000001 [3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>0000000=>0000000 [7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>0100000=>0000010 [4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>0000000=>0000000 [4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>0000000=>0000000 [5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]=>0000000=>0000000 [4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>0000000=>0000000 [5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>0000000=>0000000 [5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>0000000=>0000000 [6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>0000000=>0000000 [5,1,6,8,2,7,4,3]=>[4,8,3,1,7,2,5,6]=>0000000=>0000000 [6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>0000000=>0000000 [5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>0000000=>0000000 [6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>0000001=>1000000 [6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>0000000=>0000000 [8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]=>1100000=>0000011 [8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>1000000=>0000001 [4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>0000000=>0000000 [6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>0000000=>0000000 [4,3,5,6,1,2,8,7]=>[5,6,4,3,8,7,1,2]=>0000000=>0000000 [8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>1000000=>0000001 [6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>0000000=>0000000 [6,5,2,7,1,8,3,4]=>[3,4,7,2,8,1,6,5]=>0000000=>0000000 [3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>0000000=>0000000 [2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>0000000=>0000000 [6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>0000000=>0000000 [5,6,3,2,1,4,8,7]=>[4,3,6,7,8,5,1,2]=>0000000=>0000000 [2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>0000000=>0000000 [6,4,3,5,1,2,8,7]=>[3,5,6,4,8,7,1,2]=>0000000=>0000000 [5,3,1,4,6,2,8,7]=>[4,6,8,5,3,7,1,2]=>0000000=>0000000 [5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>0000001=>1000000 [3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>0000000=>0000000 [2,1,8,5,7,3,4,6]=>[7,8,1,4,2,6,5,3]=>0000000=>0000000 [3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>0000010=>0100000 [5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>0000000=>0000000 [2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>0000000=>0000000 [4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>0000000=>0000000 [6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>0000000=>0000000 [2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>0000000=>0000000 [2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>0000000=>0000000 [8,3,1,2,5,7,6,4]=>[1,6,8,7,4,2,3,5]=>1000000=>0000001 [3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>0000000=>0000000 [2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>0000000=>0000000 [4,3,7,2,6,8,5,1]=>[5,6,2,7,3,1,4,8]=>0000001=>1000000 [2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>0000000=>0000000 [8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>1000000=>0000001 [7,8,2,4,3,6,1,5]=>[2,1,7,5,6,3,8,4]=>0100000=>0000010 [6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>0000000=>0000000 [2,1,8,3,4,6,7,5]=>[7,8,1,6,5,3,2,4]=>0000000=>0000000 [2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>0000000=>0000000 [5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>0000000=>0000000 [7,1,8,4,5,3,2,6]=>[2,8,1,5,4,6,7,3]=>0000000=>0000000 [8,7,1,6,3,4,2,5]=>[1,2,8,3,6,5,7,4]=>1100000=>0000011 [5,3,8,7,4,2,6,1]=>[4,6,1,2,5,7,3,8]=>0000001=>1000000 [7,3,5,8,2,4,1,6]=>[2,6,4,1,7,5,8,3]=>0000000=>0000000 [2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>0000000=>0000000 [4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>0000000=>0000000 [2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>0000000=>0000000 [4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>0000000=>0000000 [8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>1000000=>0000001 [7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>0101000=>0001010 [5,8,3,6,1,7,2,4]=>[4,1,6,3,8,2,7,5]=>0000000=>0000000 [2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>0000000=>0000000 [7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>0000000=>0000000 [2,7,4,1,6,5,8,3]=>[7,2,5,8,3,4,1,6]=>0000000=>0000000 [6,4,2,1,5,8,7,3]=>[3,5,7,8,4,1,2,6]=>0000000=>0000000 [4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>0000000=>0000000 [8,5,2,7,4,1,6,3]=>[1,4,7,2,5,8,3,6]=>1000000=>0000001 [8,3,7,5,2,1,6,4]=>[1,6,2,4,7,8,3,5]=>1000000=>0000001 [6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>0000001=>1000000 [6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>0000000=>0000000 [5,4,3,6,1,2,8,7]=>[4,5,6,3,8,7,1,2]=>0000000=>0000000 [5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>0000000=>0000000 [3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>0000000=>0000000 [2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>0000000=>0000000 [8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>1000000=>0000001 [2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>0000000=>0000000 [6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>0000001=>1000000 [2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>0000000=>0000000 [2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>0000000=>0000000 [2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>0000000=>0000000 [4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>0000000=>0000000 [3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>0000000=>0000000 [7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>0000010=>0100000 [6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>0000000=>0000000 [2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>0000000=>0000000 [5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>0000000=>0000000 [2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>0000000=>0000000 [3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>0000011=>1100000 [5,7,1,6,8,2,4,3]=>[4,2,8,3,1,7,5,6]=>0000000=>0000000 [4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>0000001=>1000000 [7,5,2,6,3,8,1,4]=>[2,4,7,3,6,1,8,5]=>0000000=>0000000 [4,1,2,3,6,8,7,5]=>[5,8,7,6,3,1,2,4]=>0000000=>0000000 [2,4,3,1,8,5,6,7]=>[7,5,6,8,1,4,3,2]=>0000000=>0000000 [7,5,2,8,3,4,6,1]=>[2,4,7,1,6,5,3,8]=>0000001=>1000000 [4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>0000000=>0000000 [5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>0001010=>0101000 [5,7,3,8,1,4,6,2]=>[4,2,6,1,8,5,3,7]=>0000000=>0000000 [2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>0000000=>0000000 [2,1,5,8,4,6,3,7]=>[7,8,4,1,5,3,6,2]=>0000000=>0000000 [7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]=>0000011=>1100000 [2,4,8,3,5,6,1,7]=>[7,5,1,6,4,3,8,2]=>0000000=>0000000 [4,1,8,3,6,5,2,7]=>[5,8,1,6,3,4,7,2]=>0000000=>0000000 [3,1,8,2,4,7,6,5]=>[6,8,1,7,5,2,3,4]=>0000000=>0000000 [4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>0000000=>0000000 [2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>0000000=>0000000 [7,8,2,1,6,5,3,4]=>[2,1,7,8,3,4,6,5]=>0100000=>0000010 [4,3,8,1,7,2,5,6]=>[5,6,1,8,2,7,4,3]=>0000000=>0000000 [6,3,1,4,7,2,5,8]=>[3,6,8,5,2,7,4,1]=>0000000=>0000000 [7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>0100000=>0000010 [7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>0100000=>0000010 [2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>0000000=>0000000 [5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>0000000=>0000000 [6,1,2,5,8,7,4,3]=>[3,8,7,4,1,2,5,6]=>0000000=>0000000 [6,4,3,7,5,8,1,2]=>[3,5,6,2,4,1,8,7]=>0000010=>0100000 [4,3,8,7,5,6,1,2]=>[5,6,1,2,4,3,8,7]=>0000010=>0100000 [3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>0000010=>0100000 [4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>0000000=>0000000 [4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>0000000=>0000000 [1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>0000000=>0000000 [6,2,4,1,8,3,7,5]=>[3,7,5,8,1,6,2,4]=>0000000=>0000000 [5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>0000000=>0000000 [4,1,7,2,6,5,3,8]=>[5,8,2,7,3,4,6,1]=>0000000=>0000000 [4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>0000000=>0000000 [2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>0000000=>0000000 [4,3,7,5,6,8,1,2]=>[5,6,2,4,3,1,8,7]=>0000010=>0100000 [3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>0000000=>0000000 [5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>0000000=>0000000 [7,6,1,2,5,8,3,4]=>[2,3,8,7,4,1,6,5]=>0000000=>0000000 [2,1,7,8,4,3,5,6]=>[7,8,2,1,5,6,4,3]=>0000000=>0000000 [6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>0000000=>0000000 [4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>0000000=>0000000 [3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>0000000=>0000000 [1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000=>0000000 [1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000=>0000000 [1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000=>0000000 [1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000=>0000000 [1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000=>0000000 [1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000=>0000000 [1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>0000000=>0000000 [1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000=>0000000 [1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000=>0000000 [1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000=>0000000 [1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000=>0000000 [1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>0000000=>0000000 [2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>0000000=>0000000 [2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>0000000=>0000000 [2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>0000000=>0000000 [7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>0000000=>0000000 [2,8,5,3,4,1,6,7]=>[7,1,4,6,5,8,3,2]=>0000000=>0000000 [2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>0000000=>0000000 [2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>0000000=>0000000 [6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>0000000=>0000000 [6,3,2,8,5,1,4,7]=>[3,6,7,1,4,8,5,2]=>0000000=>0000000 [6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>0000000=>0000000 [6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>0000000=>0000000 [3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>0000000=>0000000 [6,5,2,7,4,1,8,3]=>[3,4,7,2,5,8,1,6]=>0000000=>0000000 [5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>0000000=>0000000 [4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>0000000=>0000000 [4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>0000000=>0000000 [7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>0000000=>0000000 [6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>0000000=>0000000 [5,6,8,2,3,1,7,4]=>[4,3,1,7,6,8,2,5]=>0000000=>0000000 [6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>0000000=>0000000 [7,5,3,8,2,4,1,6]=>[2,4,6,1,7,5,8,3]=>0000000=>0000000 [5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>0000011=>1100000 [4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>0000000=>0000000 [4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>0000000=>0000000 [2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>0000000=>0000000 [2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>0000000=>0000000 [2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>0000000=>0000000 [5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>0000000=>0000000 [7,3,5,6,8,4,2,1]=>[2,6,4,3,1,5,7,8]=>0000011=>1100000 [6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>0000000=>0000000 [2,6,1,5,8,4,7,3]=>[7,3,8,4,1,5,2,6]=>0000000=>0000000 [5,7,1,6,3,8,4,2]=>[4,2,8,3,6,1,5,7]=>0000000=>0000000 [3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>0000000=>0000000 [3,1,4,2,7,8,6,5]=>[6,8,5,7,2,1,3,4]=>0000000=>0000000 [3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>0000001=>1000000 [6,3,4,5,7,1,8,2]=>[3,6,5,4,2,8,1,7]=>0000000=>0000000 [2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>0000000=>0000000 [7,2,1,4,3,6,5,8]=>[2,7,8,5,6,3,4,1]=>0000000=>0000000 [7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>0000000=>0000000 [7,6,3,2,5,4,1,8]=>[2,3,6,7,4,5,8,1]=>0000000=>0000000 [6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>0000001=>1000000 [1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>0000000=>0000000 [1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>0000000=>0000000 [7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>0000000=>0000000 [7,2,1,5,6,3,4,8]=>[2,7,8,4,3,6,5,1]=>0000000=>0000000 [1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>0000000=>0000000 [1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>0000000=>0000000 [6,4,7,5,1,3,8,2]=>[3,5,2,4,8,6,1,7]=>0000000=>0000000 [6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>0000000=>0000000 [6,2,1,7,5,4,8,3]=>[3,7,8,2,4,5,1,6]=>0000000=>0000000 [3,2,1,8,5,4,7,6]=>[6,7,8,1,4,5,2,3]=>0000000=>0000000 [2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>0000000=>0000000 [2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>0000000=>0000000 [2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>0000000=>0000000 [1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>0000000=>0000000 [2,5,8,6,7,1,3,4]=>[7,4,1,3,2,8,6,5]=>0000000=>0000000 [2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>0000000=>0000000 [3,2,1,8,6,7,4,5]=>[6,7,8,1,3,2,5,4]=>0000000=>0000000 [5,2,1,7,6,8,4,3]=>[4,7,8,2,3,1,5,6]=>0000000=>0000000 [5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>0000000=>0000000 [5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>0000000=>0000000 [4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>0000100=>0010000 [4,6,7,5,8,3,1,2]=>[5,3,2,4,1,6,8,7]=>0000110=>0110000 [1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>0000000=>0000000 [4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>0000100=>0010000 [5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>0000000=>0000000 [5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>0000000=>0000000 [5,2,1,6,7,8,3,4]=>[4,7,8,3,2,1,6,5]=>0000000=>0000000 [6,2,1,5,7,3,8,4]=>[3,7,8,4,2,6,1,5]=>0000000=>0000000 [6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>0000000=>0000000 [6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>0000000=>0000000 [5,6,4,7,2,8,1,3]=>[4,3,5,2,7,1,8,6]=>0000000=>0000000 [1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>0000000=>0000000 [1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>0000000=>0000000 [5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>0000001=>1000000 [6,4,3,2,1,7,8,5]=>[3,5,6,7,8,2,1,4]=>0000000=>0000000 [6,2,1,4,3,7,8,5]=>[3,7,8,5,6,2,1,4]=>0000000=>0000000 [5,2,1,4,3,8,7,6]=>[4,7,8,5,6,1,2,3]=>0000000=>0000000 [4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>0000001=>1000000 [1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>0000000=>0000000 [1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>0000000=>0000000 [3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>0000000=>0000000 [3,4,5,8,1,2,7,6]=>[6,5,4,1,8,7,2,3]=>0000000=>0000000 [4,2,1,5,8,3,7,6]=>[5,7,8,4,1,6,2,3]=>0000000=>0000000 [4,2,1,6,8,7,3,5]=>[5,7,8,3,1,2,6,4]=>0000000=>0000000 [3,4,6,8,1,7,2,5]=>[6,5,3,1,8,2,7,4]=>0000000=>0000000 [3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>0000000=>0000000 [3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>0000000=>0000000 [3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>0000000=>0000000 [4,2,1,7,8,6,5,3]=>[5,7,8,2,1,3,4,6]=>0000000=>0000000 [2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>0000000=>0000000 [2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>0000000=>0000000 [2,5,8,7,6,1,4,3]=>[7,4,1,2,3,8,5,6]=>0000000=>0000000 [2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>00000000000=>00000000000 [8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>1000000=>0000001 [8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>1000000=>0000001 [8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>1000000=>0000001 [6,3,2,1,4,5,8,7]=>[3,6,7,8,5,4,1,2]=>0000000=>0000000 [3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>0000000=>0000000 [3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>0000000=>0000000 [5,4,2,3,1,8,6,7]=>[4,5,7,6,8,1,3,2]=>0000000=>0000000 [6,5,4,1,8,7,2,3]=>[3,4,5,8,1,2,7,6]=>0000000=>0000000 [6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>0000000=>0000000 [2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>0000001=>1000000 [7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>0000000=>0000000 [7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>0000000=>0000000 [2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>0000001=>1000000 [2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>0000001=>1000000 [4,7,8,3,2,1,6,5]=>[5,2,1,6,7,8,3,4]=>0000000=>0000000 [5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>0000000=>0000000 [5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>0000000=>0000000 [3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>0000000=>0000000 [3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>0000000=>0000000 [7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>0000000=>0000000 [7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>0000000=>0000000 [7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>0000000=>0000000 [4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>0000000=>0000000 [4,5,6,2,1,8,7,3]=>[5,4,3,7,8,1,2,6]=>0000000=>0000000 [3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>0000000=>0000000 [7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>0000000=>0000000 [7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>0000000=>0000000 [5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>0000000=>0000000 [2,6,5,1,7,8,4,3]=>[7,3,4,8,2,1,5,6]=>0000000=>0000000 [4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>0000000=>0000000 [4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>0000000=>0000000 [6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>0000000=>0000000 [6,4,1,2,8,5,3,7]=>[3,5,8,7,1,4,6,2]=>0000000=>0000000 [4,3,1,2,8,6,5,7]=>[5,6,8,7,1,3,4,2]=>0000000=>0000000 [2,6,1,5,7,8,3,4]=>[7,3,8,4,2,1,6,5]=>0000000=>0000000 [7,6,1,5,8,3,2,4]=>[2,3,8,4,1,6,7,5]=>0000000=>0000000 [3,6,7,1,5,8,2,4]=>[6,3,2,8,4,1,7,5]=>0000000=>0000000 [7,1,6,5,8,2,4,3]=>[2,8,3,4,1,7,5,6]=>0000000=>0000000 [7,5,1,6,8,4,2,3]=>[2,4,8,3,1,5,7,6]=>0000000=>0000000 [7,4,1,6,8,5,2,3]=>[2,5,8,3,1,4,7,6]=>0000000=>0000000 [5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>0000000=>0000000 [1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>0000000=>0000000 [6,2,1,5,8,7,3,4]=>[3,7,8,4,1,2,6,5]=>0000000=>0000000 [7,3,1,5,8,6,2,4]=>[2,6,8,4,1,3,7,5]=>0000000=>0000000 [6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>0000000=>0000000 [6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>0000000=>0000000 [7,1,6,4,8,2,5,3]=>[2,8,3,5,1,7,4,6]=>0000000=>0000000 [7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>0000000=>0000000 [6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>0000000=>0000000 [7,3,1,4,8,6,2,5]=>[2,6,8,5,1,3,7,4]=>0000000=>0000000 [6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>0000000=>0000000 [7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>0000000=>0000000 [3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>0000000=>0000000 [5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>0000000=>0000000 [2,6,1,4,7,8,3,5]=>[7,3,8,5,2,1,6,4]=>0000000=>0000000 [7,1,3,5,8,2,4,6]=>[2,8,6,4,1,7,5,3]=>0000000=>0000000 [1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>0000000=>0000000 [1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>0000000=>0000000 [7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>0100000=>0000010 [7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>0100000=>0000010 [7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>0100010=>0100010 [1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>0000000=>0000000 [2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>0000000=>0000000 [3,5,8,4,7,6,1,2]=>[6,4,1,5,2,3,8,7]=>0000010=>0100000 [4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>0000000=>0000000 [7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>0000000=>0000000 [5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>0000000=>0000000 [6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>0000010=>0100000 [1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>0000000=>0000000 [3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>0000000=>0000000 [2,1,6,8,4,5,3,7]=>[7,8,3,1,5,4,6,2]=>0000000=>0000000 [2,7,1,8,5,3,4,6]=>[7,2,8,1,4,6,5,3]=>0000000=>0000000 [4,2,8,1,6,3,7,5]=>[5,7,1,8,3,6,2,4]=>0000000=>0000000 [5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>0001000=>0001000 [5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>0001000=>0001000 [3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>0000010=>0100000 [6,5,2,7,1,8,4,3]=>[3,4,7,2,8,1,5,6]=>0000000=>0000000 [5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>0000000=>0000000 [5,7,6,4,1,8,3,2]=>[4,2,3,5,8,1,6,7]=>0000000=>0000000 [6,7,5,3,8,4,1,2]=>[3,2,4,6,1,5,8,7]=>0000010=>0100000 [7,5,2,4,3,1,6,8]=>[2,4,7,5,6,8,3,1]=>0000000=>0000000 [7,4,6,1,2,5,3,8]=>[2,5,3,8,7,4,6,1]=>0000000=>0000000 [6,8,1,4,2,5,7,3]=>[3,1,8,5,7,4,2,6]=>0000000=>0000000 [1,6,3,7,5,4,2,8]=>[8,3,6,2,4,5,7,1]=>0000000=>0000000 [6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>0000000=>0000000 [7,4,2,6,5,1,3,8]=>[2,5,7,3,4,8,6,1]=>0000000=>0000000 [7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>0000000=>0000000 [6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>0000000=>0000000 [5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>0000000=>0000000 [2,5,3,6,8,4,7,1]=>[7,4,6,3,1,5,2,8]=>0000001=>1000000 [2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>0000000=>0000000 [5,2,1,8,6,3,7,4]=>[4,7,8,1,3,6,2,5]=>0000000=>0000000 [4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>0000000=>0000000 [5,3,8,7,6,2,4,1]=>[4,6,1,2,3,7,5,8]=>0000001=>1000000 [5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>0000100=>0010000 [5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]=>0000010=>0100000 [6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>0000000=>0000000 [6,4,2,8,7,1,3,5]=>[3,5,7,1,2,8,6,4]=>0000000=>0000000 [6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]=>0000000=>0000000 [6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>0000000=>0000000 [5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>0000000=>0000000 [1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>0000000=>0000000 [5,1,8,4,6,2,7,3]=>[4,8,1,5,3,7,2,6]=>0000000=>0000000 [5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>0000000=>0000000 [6,4,8,1,2,7,3,5]=>[3,5,1,8,7,2,6,4]=>0000000=>0000000 [6,8,5,1,2,3,7,4]=>[3,1,4,8,7,6,2,5]=>0000000=>0000000 [6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>0000001=>1000000 [6,8,5,3,1,2,7,4]=>[3,1,4,6,8,7,2,5]=>0000000=>0000000 [4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>0000000=>0000000 [3,5,6,1,8,4,7,2]=>[6,4,3,8,1,5,2,7]=>0000000=>0000000 [3,5,7,1,2,8,6,4]=>[6,4,2,8,7,1,3,5]=>0000000=>0000000 [4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>0000000=>0000000 [4,6,3,1,2,7,5,8]=>[5,3,6,8,7,2,4,1]=>0000000=>0000000 [4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>0000000=>0000000 [3,5,2,7,8,1,6,4]=>[6,4,7,2,1,8,3,5]=>0000000=>0000000 [3,1,4,7,5,6,2,8]=>[6,8,5,2,4,3,7,1]=>0000000=>0000000 [3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>0000001=>1000000 [4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>0000000=>0000000 [2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>0000000=>0000000 [1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>0000000=>0000000 [4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>0000000=>0000000 [7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>0000000=>0000000 [6,4,1,7,5,2,3,8]=>[3,5,8,2,4,7,6,1]=>0000000=>0000000 [3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>0000000=>0000000 [1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>0000000=>0000000 [3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>0000000=>0000000 [2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>0000000=>0000000 [3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>0000000=>0000000 [5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>0000000=>0000000 [6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>0000000=>0000000 [5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>0000000=>0000000 [8,5,2,4,1,6,7,3]=>[1,4,7,5,8,3,2,6]=>1000000=>0000001 [8,4,1,3,6,2,5,7]=>[1,5,8,6,3,7,4,2]=>1000000=>0000001 [4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>0000000=>0000000 [5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>0000000=>0000000 [5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>0000000=>0000000 [4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>0000000=>0000000 [6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>0000000=>0000000 [3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>0000000=>0000000 [7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>0000000=>0000000 [4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>0000000=>0000000 [1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000=>0000000 [6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>0000000=>0000000 [5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>0000000=>0000000 [5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>0000000=>0000000 [5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>0000000=>0000000 [6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>0000000=>0000000 [6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>0000000=>0000000 [5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>0000000=>0000000 [3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>0000000=>0000000 [3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>0000000=>0000000 [8,4,3,6,5,1,7,2]=>[1,5,6,3,4,8,2,7]=>1000000=>0000001 [7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>0100000=>0000010 [6,8,5,4,2,1,7,3]=>[3,1,4,5,7,8,2,6]=>0000000=>0000000 [8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>1000000=>0000001 [1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>0000000=>0000000 [8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>1000000=>0000001 [7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>0000000=>0000000 [3,2,1,8,4,7,5,6]=>[6,7,8,1,5,2,4,3]=>0000000=>0000000 [4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>0000000=>0000000 [5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>0000000=>0000000 [6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>0010000=>0000100 [8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>1110000=>0000111 [7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>0010000=>0000100 [5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>0000000=>0000000 [8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>1000000=>0000001 [8,4,3,7,1,6,5,2]=>[1,5,6,2,8,3,4,7]=>1000000=>0000001 [7,4,3,8,1,5,6,2]=>[2,5,6,1,8,4,3,7]=>0000000=>0000000 [6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>0000000=>0000000 [4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>0000000=>0000000 [3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>0000000=>0000000 [6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>0000000=>0000000 [7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>0000000=>0000000 [4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>0000000=>0000000 [3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>0000000=>0000000 [7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>0000000=>0000000 [8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>1000000=>0000001 [4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>0000000=>0000000 [5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>0000000=>0000000 [5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>0000000=>0000000 [6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>0000000=>0000000 [6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>0000000=>0000000 [5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>0000001=>1000000 [5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>0000100=>0010000 [4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>0000000=>0000000 [4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>0000000=>0000000 [4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>0000000=>0000000 [3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>0000001=>1000000 [3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>0000000=>0000000 [2,5,6,8,1,7,3,4]=>[7,4,3,1,8,2,6,5]=>0000000=>0000000 [1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>0000000=>0000000 [8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>1000000=>0000001 [2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>0000000=>0000000 [4,3,1,7,6,8,5,2]=>[5,6,8,2,3,1,4,7]=>0000000=>0000000 [8,3,2,1,6,5,4,7]=>[1,6,7,8,3,4,5,2]=>1000000=>0000001 [8,4,2,6,1,5,3,7]=>[1,5,7,3,8,4,6,2]=>1000000=>0000001 [4,2,8,7,1,6,3,5]=>[5,7,1,2,8,3,6,4]=>0000000=>0000000 [5,3,7,2,6,4,8,1]=>[4,6,2,7,3,5,1,8]=>0000001=>1000000 [6,7,3,1,5,8,4,2]=>[3,2,6,8,4,1,5,7]=>0000000=>0000000 [6,7,2,1,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>0000000=>0000000 [6,7,2,8,1,5,3,4]=>[3,2,7,1,8,4,6,5]=>0000000=>0000000 [6,7,8,2,1,4,3,5]=>[3,2,1,7,8,5,6,4]=>0010000=>0000100 [8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>1000000=>0000001 [5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>0000000=>0000000 [4,1,8,7,2,3,6,5]=>[5,8,1,2,7,6,3,4]=>0000000=>0000000 [4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>0000000=>0000000 [3,8,1,2,7,4,5,6]=>[6,1,8,7,2,5,4,3]=>0000000=>0000000 [3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>0000000=>0000000 [3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>0000000=>0000000 [2,1,8,3,4,7,6,5]=>[7,8,1,6,5,2,3,4]=>0000000=>0000000 [1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000=>0000000 [1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000=>0000000 [5,8,1,4,7,2,3,6]=>[4,1,8,5,2,7,6,3]=>0000000=>0000000 [5,6,1,4,8,7,3,2]=>[4,3,8,5,1,2,6,7]=>0000000=>0000000 [3,4,7,1,8,6,5,2]=>[6,5,2,8,1,3,4,7]=>0000000=>0000000 [5,3,7,1,6,8,2,4]=>[4,6,2,8,3,1,7,5]=>0000000=>0000000 [5,8,1,7,6,2,4,3]=>[4,1,8,2,3,7,5,6]=>0000000=>0000000 [6,3,7,5,2,8,1,4]=>[3,6,2,4,7,1,8,5]=>0000000=>0000000 [5,7,1,4,8,3,2,6]=>[4,2,8,5,1,6,7,3]=>0000000=>0000000 [8,7,1,6,2,4,5,3]=>[1,2,8,3,7,5,4,6]=>1100000=>0000011 [8,3,6,1,2,5,7,4]=>[1,6,3,8,7,4,2,5]=>1000000=>0000001 [3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>0000001=>1000000 [8,5,2,6,4,7,3,1]=>[1,4,7,3,5,2,6,8]=>1000001=>1000001 [6,2,7,4,3,5,8,1]=>[3,7,2,5,6,4,1,8]=>0000001=>1000000 [3,6,2,7,4,5,8,1]=>[6,3,7,2,5,4,1,8]=>0000001=>1000000 [4,2,5,7,3,6,8,1]=>[5,7,4,2,6,3,1,8]=>0000001=>1000000 [3,7,6,4,5,2,8,1]=>[6,2,3,5,4,7,1,8]=>0000001=>1000000 [3,8,6,2,5,7,4,1]=>[6,1,3,7,4,2,5,8]=>0000001=>1000000 [1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>0000000=>0000000 [7,8,1,6,3,2,5,4]=>[2,1,8,3,6,7,4,5]=>0100000=>0000010 [2,8,1,7,3,5,6,4]=>[7,1,8,2,6,4,3,5]=>0000000=>0000000 [4,2,8,5,7,3,6,1]=>[5,7,1,4,2,6,3,8]=>0000001=>1000000 [6,7,3,1,8,4,2,5]=>[3,2,6,8,1,5,7,4]=>0000000=>0000000 [8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>1000000=>0000001 [7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>0000000=>0000000 [6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>0000000=>0000000 [4,2,1,5,8,3,6,7]=>[5,7,8,4,1,6,3,2]=>0000000=>0000000 [4,7,5,6,8,3,2,1]=>[5,2,4,3,1,6,7,8]=>0000111=>1110000 [6,5,1,8,7,4,2,3]=>[3,4,8,1,2,5,7,6]=>0000000=>0000000 [5,7,3,8,2,6,4,1]=>[4,2,6,1,7,3,5,8]=>0000001=>1000000 [3,6,8,1,7,2,5,4]=>[6,3,1,8,2,7,4,5]=>0000000=>0000000 [2,3,8,7,4,5,6,1]=>[7,6,1,2,5,4,3,8]=>0000001=>1000000 [7,2,8,6,4,3,5,1]=>[2,7,1,3,5,6,4,8]=>0000001=>1000000 [1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>0000000=>0000000 [4,7,1,8,6,5,2,3]=>[5,2,8,1,3,4,7,6]=>0000000=>0000000 [6,7,4,5,2,8,1,3]=>[3,2,5,4,7,1,8,6]=>0000000=>0000000 [5,7,4,6,3,8,1,2]=>[4,2,5,3,6,1,8,7]=>0000010=>0100000 [5,8,4,6,2,7,1,3]=>[4,1,5,3,7,2,8,6]=>0000000=>0000000 [7,8,4,5,2,6,1,3]=>[2,1,5,4,7,3,8,6]=>0100000=>0000010 [5,6,3,4,2,8,1,7]=>[4,3,6,5,7,1,8,2]=>0000000=>0000000 [5,8,3,6,2,4,1,7]=>[4,1,6,3,7,5,8,2]=>0000000=>0000000 [7,8,3,5,2,6,1,4]=>[2,1,6,4,7,3,8,5]=>0100000=>0000010 [6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>0000000=>0000000 [5,8,3,6,2,7,1,4]=>[4,1,6,3,7,2,8,5]=>0000000=>0000000 [4,7,3,6,2,8,1,5]=>[5,2,6,3,7,1,8,4]=>0000000=>0000000 [5,7,3,6,2,8,1,4]=>[4,2,6,3,7,1,8,5]=>0000000=>0000000 [6,7,3,5,2,8,1,4]=>[3,2,6,4,7,1,8,5]=>0000000=>0000000 [6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>0000000=>0000000 [6,8,5,7,2,3,1,4]=>[3,1,4,2,7,6,8,5]=>0001000=>0001000 [6,7,3,8,2,4,1,5]=>[3,2,6,1,7,5,8,4]=>0000000=>0000000 [5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>0000000=>0000000 [5,8,3,7,2,4,1,6]=>[4,1,6,2,7,5,8,3]=>0000000=>0000000 [4,5,3,7,2,8,1,6]=>[5,4,6,2,7,1,8,3]=>0000000=>0000000 [6,8,3,4,2,7,1,5]=>[3,1,6,5,7,2,8,4]=>0000000=>0000000 [5,8,3,4,2,6,1,7]=>[4,1,6,5,7,3,8,2]=>0000000=>0000000 [5,6,4,2,3,1,8,7]=>[4,3,5,7,6,8,1,2]=>0000000=>0000000 [5,4,6,1,3,2,8,7]=>[4,5,3,8,6,7,1,2]=>0000000=>0000000 [7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>0000000=>0000000 [6,4,8,1,7,5,2,3]=>[3,5,1,8,2,4,7,6]=>0000000=>0000000 [6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>0000000=>0000000 [8,5,7,6,4,2,1,3]=>[1,4,2,3,5,7,8,6]=>1001100=>0011001 [2,1,6,8,7,4,3,5]=>[7,8,3,1,2,5,6,4]=>0000000=>0000000 [8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>1000001=>1000001 [5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>0001000=>0001000 [6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]=>0011001=>1001100 [7,8,4,2,6,5,3,1]=>[2,1,5,7,3,4,6,8]=>0100001=>1000010 [4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>0000000=>0000000 [3,7,1,8,6,4,5,2]=>[6,2,8,1,3,5,4,7]=>0000000=>0000000 [3,7,1,6,8,2,5,4]=>[6,2,8,3,1,7,4,5]=>0000000=>0000000 [6,7,4,2,8,1,5,3]=>[3,2,5,7,1,8,4,6]=>0000000=>0000000 [6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>0000000=>0000000 [2,1,8,6,7,5,3,4]=>[7,8,1,3,2,4,6,5]=>0000000=>0000000 [8,6,4,3,7,5,1,2]=>[1,3,5,6,2,4,8,7]=>1000010=>0100001 [8,6,5,7,4,1,3,2]=>[1,3,4,2,5,8,6,7]=>1001100=>0011001 [7,6,4,3,8,1,5,2]=>[2,3,5,6,1,8,4,7]=>0000000=>0000000 [2,1,7,6,8,3,5,4]=>[7,8,2,3,1,6,4,5]=>0000000=>0000000 [4,1,7,3,6,5,8,2]=>[5,8,2,6,3,4,1,7]=>0000000=>0000000 [5,1,8,4,7,6,2,3]=>[4,8,1,5,2,3,7,6]=>0000000=>0000000 [8,1,3,7,4,6,5,2]=>[1,8,6,2,5,3,4,7]=>1000000=>0000001 [5,2,8,7,4,6,1,3]=>[4,7,1,2,5,3,8,6]=>0000000=>0000000 [8,1,3,5,4,7,6,2]=>[1,8,6,4,5,2,3,7]=>1000000=>0000001 [6,1,4,5,3,7,8,2]=>[3,8,5,4,6,2,1,7]=>0000000=>0000000 [5,1,7,8,6,2,4,3]=>[4,8,2,1,3,7,5,6]=>0000000=>0000000 [8,4,7,2,5,6,1,3]=>[1,5,2,7,4,3,8,6]=>1000000=>0000001 [5,6,2,1,4,8,3,7]=>[4,3,7,8,5,1,6,2]=>0000000=>0000000 [3,4,1,2,8,6,5,7]=>[6,5,8,7,1,3,4,2]=>0000000=>0000000 [6,3,8,5,2,1,4,7]=>[3,6,1,4,7,8,5,2]=>0000000=>0000000 [8,3,1,5,2,4,7,6]=>[1,6,8,4,7,5,2,3]=>1000000=>0000001 [8,5,2,7,3,1,6,4]=>[1,4,7,2,6,8,3,5]=>1000000=>0000001 [2,3,8,5,6,1,7,4]=>[7,6,1,4,3,8,2,5]=>0000000=>0000000 [7,4,5,6,3,1,8,2]=>[2,5,4,3,6,8,1,7]=>0000000=>0000000 [7,5,3,6,2,8,1,4]=>[2,4,6,3,7,1,8,5]=>0000000=>0000000 [8,7,5,4,1,6,2,3]=>[1,2,4,5,8,3,7,6]=>1100000=>0000011 [2,6,4,1,8,5,7,3]=>[7,3,5,8,1,4,2,6]=>0000000=>0000000 [6,1,2,3,8,5,7,4]=>[3,8,7,6,1,4,2,5]=>0000000=>0000000 [7,1,2,3,6,5,8,4]=>[2,8,7,6,3,4,1,5]=>0000000=>0000000 [1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000=>0000000 [8,7,2,6,3,4,1,5]=>[1,2,7,3,6,5,8,4]=>1100000=>0000011 [4,8,1,6,3,2,7,5]=>[5,1,8,3,6,7,2,4]=>0000000=>0000000 [3,1,8,6,4,2,7,5]=>[6,8,1,3,5,7,2,4]=>0000000=>0000000 [8,1,6,7,4,3,2,5]=>[1,8,3,2,5,6,7,4]=>1000000=>0000001 [3,5,8,7,2,4,1,6]=>[6,4,1,2,7,5,8,3]=>0000000=>0000000 [4,2,1,3,7,8,5,6]=>[5,7,8,6,2,1,4,3]=>0000000=>0000000 [2,5,8,3,1,7,4,6]=>[7,4,1,6,8,2,5,3]=>0000000=>0000000 [5,2,7,8,6,4,1,3]=>[4,7,2,1,3,5,8,6]=>0000000=>0000000 [1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>0000000=>0000000 [1,6,2,4,7,5,3,8]=>[8,3,7,5,2,4,6,1]=>0000000=>0000000 [1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>0000000=>0000000 [7,8,3,6,5,2,1,4]=>[2,1,6,3,4,7,8,5]=>0100000=>0000010 [4,7,2,8,6,1,5,3]=>[5,2,7,1,3,8,4,6]=>0000000=>0000000 [6,2,1,8,3,4,7,5]=>[3,7,8,1,6,5,2,4]=>0000000=>0000000 [1,3,6,4,7,5,8,2]=>[8,6,3,5,2,4,1,7]=>0000000=>0000000 [6,2,7,3,5,1,8,4]=>[3,7,2,6,4,8,1,5]=>0000000=>0000000 [7,2,5,1,8,3,4,6]=>[2,7,4,8,1,6,5,3]=>0000000=>0000000 [7,5,4,2,6,8,1,3]=>[2,4,5,7,3,1,8,6]=>0000000=>0000000 [1,7,5,3,4,6,8,2]=>[8,2,4,6,5,3,1,7]=>0000000=>0000000 [5,2,6,3,1,8,7,4]=>[4,7,3,6,8,1,2,5]=>0000000=>0000000 [8,2,7,4,1,3,5,6]=>[1,7,2,5,8,6,4,3]=>1000000=>0000001 [1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000=>0000000 [1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>0000000=>0000000 [5,8,4,7,2,1,6,3]=>[4,1,5,2,7,8,3,6]=>0000000=>0000000 [1,8,7,5,4,3,6,2]=>[8,1,2,4,5,6,3,7]=>0000000=>0000000 [1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>0000000=>0000000 [6,8,7,3,2,5,1,4]=>[3,1,2,6,7,4,8,5]=>0010000=>0000100 [5,3,8,1,2,7,4,6]=>[4,6,1,8,7,2,5,3]=>0000000=>0000000 [5,1,8,3,2,6,4,7]=>[4,8,1,6,7,3,5,2]=>0000000=>0000000 [1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>0000000=>0000000 [5,2,6,7,8,4,1,3]=>[4,7,3,2,1,5,8,6]=>0000000=>0000000 [6,7,3,8,5,2,1,4]=>[3,2,6,1,4,7,8,5]=>0000000=>0000000 [4,6,2,7,8,1,5,3]=>[5,3,7,2,1,8,4,6]=>0000000=>0000000 [1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>0000000=>0000000 [4,5,7,2,1,8,6,3]=>[5,4,2,7,8,1,3,6]=>0000000=>0000000 [7,8,3,4,2,1,6,5]=>[2,1,6,5,7,8,3,4]=>0100000=>0000010 [6,3,1,4,2,7,5,8]=>[3,6,8,5,7,2,4,1]=>0000000=>0000000 [1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000=>0000000 [6,2,3,4,1,7,8,5]=>[3,7,6,5,8,2,1,4]=>0000000=>0000000 [10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,10,9,8,7,6]=>111110000=>000011111 [5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>0000000=>0000000 [6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>0000000=>0000000 [2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>0000000=>0000000 [5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>0000000=>0000000 [7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>0000000=>0000000 [8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>1000001=>1000001 [8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>1000001=>1000001 [8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>1000001=>1000001 [7,8,4,6,1,5,2,3]=>[2,1,5,3,8,4,7,6]=>0100000=>0000010 [7,8,1,6,4,5,2,3]=>[2,1,8,3,5,4,7,6]=>0100000=>0000010 [6,8,1,7,4,5,2,3]=>[3,1,8,2,5,4,7,6]=>0000000=>0000000 [1,8,6,7,4,5,2,3]=>[8,1,3,2,5,4,7,6]=>0000000=>0000000 [1,8,6,7,3,5,2,4]=>[8,1,3,2,6,4,7,5]=>0000000=>0000000 [6,8,1,7,3,5,2,4]=>[3,1,8,2,6,4,7,5]=>0000000=>0000000 [7,8,1,6,3,5,2,4]=>[2,1,8,3,6,4,7,5]=>0100000=>0000010 [7,8,3,6,4,5,1,2]=>[2,1,6,3,5,4,8,7]=>0100010=>0100010 [7,8,2,6,4,5,1,3]=>[2,1,7,3,5,4,8,6]=>0100000=>0000010 [7,8,2,6,3,5,1,4]=>[2,1,7,3,6,4,8,5]=>0100000=>0000010 [7,8,2,6,1,5,3,4]=>[2,1,7,3,8,4,6,5]=>0100000=>0000010 [1,8,5,7,2,6,3,4]=>[8,1,4,2,7,3,6,5]=>0000000=>0000000 [5,8,2,7,1,6,3,4]=>[4,1,7,2,8,3,6,5]=>0000000=>0000000 [6,8,2,7,1,5,3,4]=>[3,1,7,2,8,4,6,5]=>0000000=>0000000 [6,8,2,7,3,5,1,4]=>[3,1,7,2,6,4,8,5]=>0000000=>0000000 [6,8,2,7,4,5,1,3]=>[3,1,7,2,5,4,8,6]=>0000000=>0000000 [6,8,3,7,4,5,1,2]=>[3,1,6,2,5,4,8,7]=>0000010=>0100000 [2,8,6,7,3,5,1,4]=>[7,1,3,2,6,4,8,5]=>0000000=>0000000 [2,8,1,7,5,6,3,4]=>[7,1,8,2,4,3,6,5]=>0000000=>0000000 [2,8,1,7,4,6,3,5]=>[7,1,8,2,5,3,6,4]=>0000000=>0000000 [2,8,4,7,1,6,3,5]=>[7,1,5,2,8,3,6,4]=>0000000=>0000000 [2,8,5,7,3,6,1,4]=>[7,1,4,2,6,3,8,5]=>0000000=>0000000 [5,8,3,7,4,6,1,2]=>[4,1,6,2,5,3,8,7]=>0000010=>0100000 [5,8,2,7,4,6,1,3]=>[4,1,7,2,5,3,8,6]=>0000000=>0000000 [5,8,2,7,3,6,1,4]=>[4,1,7,2,6,3,8,5]=>0000000=>0000000 [4,8,2,7,3,6,1,5]=>[5,1,7,2,6,3,8,4]=>0000000=>0000000 [4,8,2,7,1,6,3,5]=>[5,1,7,2,8,3,6,4]=>0000000=>0000000 [1,8,4,7,2,6,3,5]=>[8,1,5,2,7,3,6,4]=>0000000=>0000000 [1,8,4,7,3,6,2,5]=>[8,1,5,2,6,3,7,4]=>0000000=>0000000 [4,8,1,7,3,6,2,5]=>[5,1,8,2,6,3,7,4]=>0000000=>0000000 [4,8,3,7,1,6,2,5]=>[5,1,6,2,8,3,7,4]=>0000000=>0000000 [6,8,3,7,1,5,2,4]=>[3,1,6,2,8,4,7,5]=>0000000=>0000000 [5,8,1,7,3,6,2,4]=>[4,1,8,2,6,3,7,5]=>0000000=>0000000 [1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>0000000=>0000000 [1,8,5,7,4,6,2,3]=>[8,1,4,2,5,3,7,6]=>0000000=>0000000 [5,8,1,7,4,6,2,3]=>[4,1,8,2,5,3,7,6]=>0000000=>0000000 [5,8,4,7,1,6,2,3]=>[4,1,5,2,8,3,7,6]=>0000000=>0000000 [6,8,4,7,1,5,2,3]=>[3,1,5,2,8,4,7,6]=>0000000=>0000000 [5,8,6,7,1,4,2,3]=>[4,1,3,2,8,5,7,6]=>0001000=>0001000 [4,8,6,7,1,5,2,3]=>[5,1,3,2,8,4,7,6]=>0000000=>0000000 [4,8,5,7,1,6,2,3]=>[5,1,4,2,8,3,7,6]=>0000000=>0000000 [1,8,4,7,5,6,2,3]=>[8,1,5,2,4,3,7,6]=>0000000=>0000000 [3,8,5,7,1,6,2,4]=>[6,1,4,2,8,3,7,5]=>0000000=>0000000 [3,8,6,7,1,5,2,4]=>[6,1,3,2,8,4,7,5]=>0000000=>0000000 [3,8,6,7,2,5,1,4]=>[6,1,3,2,7,4,8,5]=>0000000=>0000000 [4,8,5,7,2,6,1,3]=>[5,1,4,2,7,3,8,6]=>0000000=>0000000 [3,8,5,7,2,6,1,4]=>[6,1,4,2,7,3,8,5]=>0000000=>0000000 [3,8,4,7,1,6,2,5]=>[6,1,5,2,8,3,7,4]=>0000000=>0000000 [3,8,2,7,1,6,4,5]=>[6,1,7,2,8,3,5,4]=>0000000=>0000000 [7,5,2,8,6,4,1,3]=>[2,4,7,1,3,5,8,6]=>0000000=>0000000 [7,5,1,8,6,2,3,4]=>[2,4,8,1,3,7,6,5]=>0000000=>0000000 [7,4,8,6,1,5,2,3]=>[2,5,1,3,8,4,7,6]=>0000000=>0000000 [7,1,8,4,5,2,6,3]=>[2,8,1,5,4,7,3,6]=>0000000=>0000000 [1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000=>0000000 [7,3,8,6,2,5,1,4]=>[2,6,1,3,7,4,8,5]=>0000000=>0000000 [7,4,2,8,6,1,3,5]=>[2,5,7,1,3,8,6,4]=>0000000=>0000000 [6,8,1,7,2,3,4,5]=>[3,1,8,2,7,6,5,4]=>0000000=>0000000 [1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>0000000=>0000000 [2,5,4,1,3,7,8,6]=>[7,4,5,8,6,2,1,3]=>0000000=>0000000 [5,3,1,4,8,2,6,7]=>[4,6,8,5,1,7,3,2]=>0000000=>0000000 [5,2,4,8,6,1,3,7]=>[4,7,5,1,3,8,6,2]=>0000000=>0000000 [4,8,2,3,5,7,1,6]=>[5,1,7,6,4,2,8,3]=>0000000=>0000000 [5,4,3,8,1,2,7,6]=>[4,5,6,1,8,7,2,3]=>0000000=>0000000 [6,4,3,1,2,8,5,7]=>[3,5,6,8,7,1,4,2]=>0000000=>0000000 [6,4,2,8,1,3,7,5]=>[3,5,7,1,8,6,2,4]=>0000000=>0000000 [6,3,8,2,5,1,7,4]=>[3,6,1,7,4,8,2,5]=>0000000=>0000000 [6,5,1,2,8,7,3,4]=>[3,4,8,7,1,2,6,5]=>0000000=>0000000 [6,5,3,1,4,2,8,7]=>[3,4,6,8,5,7,1,2]=>0000000=>0000000 [5,3,1,6,4,2,7,8]=>[4,6,8,3,5,7,2,1]=>0000000=>0000000 [4,6,1,7,5,2,8,3]=>[5,3,8,2,4,7,1,6]=>0000000=>0000000 [3,5,7,1,8,6,2,4]=>[6,4,2,8,1,3,7,5]=>0000000=>0000000 [4,3,1,5,7,2,6,8]=>[5,6,8,4,2,7,3,1]=>0000000=>0000000 [3,4,7,2,8,6,1,5]=>[6,5,2,7,1,3,8,4]=>0000000=>0000000 [3,4,5,8,2,7,1,6]=>[6,5,4,1,7,2,8,3]=>0000000=>0000000 [3,5,2,6,8,1,7,4]=>[6,4,7,3,1,8,2,5]=>0000000=>0000000 [4,3,1,2,5,6,8,7]=>[5,6,8,7,4,3,1,2]=>0000000=>0000000 [5,3,6,8,4,7,2,1]=>[4,6,3,1,5,2,7,8]=>0000011=>1100000 [3,7,2,5,4,8,6,1]=>[6,2,7,4,5,1,3,8]=>0000001=>1000000 [4,2,6,5,8,3,7,1]=>[5,7,3,4,1,6,2,8]=>0000001=>1000000 [3,1,6,5,4,8,2,7]=>[6,8,3,4,5,1,7,2]=>0000000=>0000000 [8,5,4,7,6,3,2,1]=>[1,4,5,2,3,6,7,8]=>1000111=>1110001 [6,7,8,1,4,3,2,5]=>[3,2,1,8,5,6,7,4]=>0010000=>0000100 [5,7,1,8,4,3,2,6]=>[4,2,8,1,5,6,7,3]=>0000000=>0000000 [4,7,1,5,8,3,2,6]=>[5,2,8,4,1,6,7,3]=>0000000=>0000000 [8,2,1,5,4,3,7,6]=>[1,7,8,4,5,6,2,3]=>1000000=>0000001 [8,3,1,5,4,7,2,6]=>[1,6,8,4,5,2,7,3]=>1000000=>0000001 [8,4,1,5,7,3,2,6]=>[1,5,8,4,2,6,7,3]=>1000000=>0000001 [8,4,6,1,7,3,2,5]=>[1,5,3,8,2,6,7,4]=>1000000=>0000001 [8,3,6,1,4,7,2,5]=>[1,6,3,8,5,2,7,4]=>1000000=>0000001 [8,2,6,1,4,3,7,5]=>[1,7,3,8,5,6,2,4]=>1000000=>0000001 [3,7,6,1,4,8,2,5]=>[6,2,3,8,5,1,7,4]=>0000000=>0000000 [6,7,8,5,1,3,2,4]=>[3,2,1,4,8,6,7,5]=>0011000=>0001100 [5,7,2,8,4,3,6,1]=>[4,2,7,1,5,6,3,8]=>0000001=>1000000 [6,7,8,2,4,3,5,1]=>[3,2,1,7,5,6,4,8]=>0010001=>1000100 [3,7,6,2,4,8,5,1]=>[6,2,3,7,5,1,4,8]=>0000001=>1000000 [5,7,3,8,4,6,2,1]=>[4,2,6,1,5,3,7,8]=>0000011=>1100000 [4,7,3,5,8,6,2,1]=>[5,2,6,4,1,3,7,8]=>0000011=>1100000 [8,7,2,1,4,3,6,5]=>[1,2,7,8,5,6,3,4]=>1100000=>0000011 [8,7,3,1,4,6,2,5]=>[1,2,6,8,5,3,7,4]=>1100000=>0000011 [8,7,3,5,1,6,2,4]=>[1,2,6,4,8,3,7,5]=>1100000=>0000011 [8,7,2,5,1,3,6,4]=>[1,2,7,4,8,6,3,5]=>1100000=>0000011 [8,4,6,5,7,1,2,3]=>[1,5,3,4,2,8,7,6]=>1000100=>0010001 [4,7,6,5,8,1,2,3]=>[5,2,3,4,1,8,7,6]=>0000100=>0010000 [8,7,6,5,2,1,4,3]=>[1,2,3,4,7,8,5,6]=>1111000=>0001111 [5,6,4,3,8,7,1,2]=>[4,3,5,6,1,2,8,7]=>0000010=>0100000 [3,4,7,2,8,1,6,5]=>[6,5,2,7,1,8,3,4]=>0000000=>0000000 [4,6,8,5,3,7,1,2]=>[5,3,1,4,6,2,8,7]=>0000010=>0100000 [6,5,2,1,4,7,8,3]=>[3,4,7,8,5,2,1,6]=>0000000=>0000000 [1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000=>0000000 [2,1,7,5,6,3,8,4]=>[7,8,2,4,3,6,1,5]=>0000000=>0000000 [7,8,2,1,4,5,6,3]=>[2,1,7,8,5,4,3,6]=>0100000=>0000010 [4,2,6,1,8,5,7,3]=>[5,7,3,8,1,4,2,6]=>0000000=>0000000 [5,8,6,7,3,2,1,4]=>[4,1,3,2,6,7,8,5]=>0001000=>0001000 [4,6,3,8,1,2,7,5]=>[5,3,6,1,8,7,2,4]=>0000000=>0000000 [4,3,7,1,2,5,8,6]=>[5,6,2,8,7,4,1,3]=>0000000=>0000000 [1,8,3,5,4,2,7,6]=>[8,1,6,4,5,7,2,3]=>0000000=>0000000 [7,8,1,3,4,2,6,5]=>[2,1,8,6,5,7,3,4]=>0100000=>0000010 [6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>0000000=>0000000 [5,8,7,4,1,3,2,6]=>[4,1,2,5,8,6,7,3]=>0000000=>0000000 [6,8,5,4,3,1,2,7]=>[3,1,4,5,6,8,7,2]=>0000000=>0000000 [6,8,3,4,5,7,1,2]=>[3,1,6,5,4,2,8,7]=>0000010=>0100000 [4,8,2,6,1,5,3,7]=>[5,1,7,3,8,4,6,2]=>0000000=>0000000 [4,3,6,2,5,1,8,7]=>[5,6,3,7,4,8,1,2]=>0000000=>0000000 [7,8,3,2,5,1,4,6]=>[2,1,6,7,4,8,5,3]=>0100000=>0000010 [7,1,3,6,8,4,2,5]=>[2,8,6,3,1,5,7,4]=>0000000=>0000000 [1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>0000000=>0000000 [7,1,5,8,3,6,2,4]=>[2,8,4,1,6,3,7,5]=>0000000=>0000000 [5,1,8,7,2,3,6,4]=>[4,8,1,2,7,6,3,5]=>0000000=>0000000 [5,8,7,1,2,4,3,6]=>[4,1,2,8,7,5,6,3]=>0000000=>0000000 [1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>0000000=>0000000 [3,5,6,4,1,8,2,7]=>[6,4,3,5,8,1,7,2]=>0000000=>0000000 [4,2,6,3,8,1,7,5]=>[5,7,3,6,1,8,2,4]=>0000000=>0000000 [1,3,7,4,8,2,5,6]=>[8,6,2,5,1,7,4,3]=>0000000=>0000000 [5,2,7,1,8,4,6,3]=>[4,7,2,8,1,5,3,6]=>0000000=>0000000 [1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000=>0000000 [6,3,1,2,8,4,5,7]=>[3,6,8,7,1,5,4,2]=>0000000=>0000000 [4,2,1,3,6,5,8,7]=>[5,7,8,6,3,4,1,2]=>0000000=>0000000 [7,8,2,1,4,5,3,6]=>[2,1,7,8,5,4,6,3]=>0100000=>0000010 [5,6,1,7,4,8,2,3]=>[4,3,8,2,5,1,7,6]=>0000000=>0000000 [7,8,5,1,6,4,2,3]=>[2,1,4,8,3,5,7,6]=>0100000=>0000010 [2,6,5,7,3,4,8,1]=>[7,3,4,2,6,5,1,8]=>0000001=>1000000 [5,2,4,7,3,6,8,1]=>[4,7,5,2,6,3,1,8]=>0000001=>1000000 [7,1,6,5,8,3,2,4]=>[2,8,3,4,1,6,7,5]=>0000000=>0000000 [3,8,6,4,2,7,5,1]=>[6,1,3,5,7,2,4,8]=>0000001=>1000000 [7,8,1,6,2,4,5,3]=>[2,1,8,3,7,5,4,6]=>0100000=>0000010 [2,8,1,7,4,3,6,5]=>[7,1,8,2,5,6,3,4]=>0000000=>0000000 [6,8,1,4,7,2,5,3]=>[3,1,8,5,2,7,4,6]=>0000000=>0000000 [3,8,4,1,7,2,6,5]=>[6,1,5,8,2,7,3,4]=>0000000=>0000000 [3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]=>0000000=>0000000 [6,7,1,4,8,3,2,5]=>[3,2,8,5,1,6,7,4]=>0000000=>0000000 [6,1,2,8,4,3,5,7]=>[3,8,7,1,5,6,4,2]=>0000000=>0000000 [5,1,2,4,8,3,6,7]=>[4,8,7,5,1,6,3,2]=>0000000=>0000000 [4,1,3,2,8,5,6,7]=>[5,8,6,7,1,4,3,2]=>0000000=>0000000 [3,2,1,4,8,5,6,7]=>[6,7,8,5,1,4,3,2]=>0000000=>0000000 [4,3,6,1,5,8,2,7]=>[5,6,3,8,4,1,7,2]=>0000000=>0000000 [2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]=>0000000=>0000000 [1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000=>0000000 [8,4,2,1,7,3,6,5]=>[1,5,7,8,2,6,3,4]=>1000000=>0000001 [6,4,3,1,5,8,2,7]=>[3,5,6,8,4,1,7,2]=>0000000=>0000000 [5,4,3,2,1,8,6,7]=>[4,5,6,7,8,1,3,2]=>0000000=>0000000 [2,5,3,4,1,8,6,7]=>[7,4,6,5,8,1,3,2]=>0000000=>0000000 [4,3,5,2,1,8,6,7]=>[5,6,4,7,8,1,3,2]=>0000000=>0000000 [3,7,6,8,4,5,2,1]=>[6,2,3,1,5,4,7,8]=>0000011=>1100000 [1,4,8,6,7,5,2,3]=>[8,5,1,3,2,4,7,6]=>0000000=>0000000 [2,4,8,6,7,3,5,1]=>[7,5,1,3,2,6,4,8]=>0000001=>1000000 [6,3,5,8,4,7,2,1]=>[3,6,4,1,5,2,7,8]=>0000011=>1100000 [5,4,3,8,6,7,2,1]=>[4,5,6,1,3,2,7,8]=>0000011=>1100000 [3,2,8,5,7,4,6,1]=>[6,7,1,4,2,5,3,8]=>0000001=>1000000 [1,3,8,7,5,6,2,4]=>[8,6,1,2,4,3,7,5]=>0000000=>0000000 [2,1,8,7,4,6,3,5]=>[7,8,1,2,5,3,6,4]=>0000000=>0000000 [5,8,6,7,4,3,2,1]=>[4,1,3,2,5,6,7,8]=>0001111=>1111000 [4,8,7,5,6,3,2,1]=>[5,1,2,4,3,6,7,8]=>0000111=>1110000 [6,2,1,4,3,8,5,7]=>[3,7,8,5,6,1,4,2]=>0000000=>0000000 [8,2,1,4,3,6,5,7]=>[1,7,8,5,6,3,4,2]=>1000000=>0000001 [8,2,4,1,3,6,5,7]=>[1,7,5,8,6,3,4,2]=>1000000=>0000001 [4,2,6,1,3,5,8,7]=>[5,7,3,8,6,4,1,2]=>0000000=>0000000 [2,1,6,4,3,5,8,7]=>[7,8,3,5,6,4,1,2]=>0000000=>0000000 [8,4,2,1,3,6,5,7]=>[1,5,7,8,6,3,4,2]=>1000000=>0000001 [8,4,2,1,6,3,5,7]=>[1,5,7,8,3,6,4,2]=>1000000=>0000001 [4,6,2,1,8,3,5,7]=>[5,3,7,8,1,6,4,2]=>0000000=>0000000 [4,6,2,1,3,8,5,7]=>[5,3,7,8,6,1,4,2]=>0000000=>0000000 [2,1,6,4,3,8,5,7]=>[7,8,3,5,6,1,4,2]=>0000000=>0000000 [2,8,1,4,3,6,5,7]=>[7,1,8,5,6,3,4,2]=>0000000=>0000000 [2,8,4,1,3,6,5,7]=>[7,1,5,8,6,3,4,2]=>0000000=>0000000 [4,8,2,1,3,6,5,7]=>[5,1,7,8,6,3,4,2]=>0000000=>0000000 [6,8,2,1,4,3,5,7]=>[3,1,7,8,5,6,4,2]=>0000000=>0000000 [8,6,2,1,4,3,5,7]=>[1,3,7,8,5,6,4,2]=>1000000=>0000001 [2,8,1,4,6,3,5,7]=>[7,1,8,5,3,6,4,2]=>0000000=>0000000 [2,6,1,4,8,3,5,7]=>[7,3,8,5,1,6,4,2]=>0000000=>0000000 [2,6,4,1,8,3,5,7]=>[7,3,5,8,1,6,4,2]=>0000000=>0000000 [4,6,2,8,1,3,5,7]=>[5,3,7,1,8,6,4,2]=>0000000=>0000000 [4,2,6,1,3,8,5,7]=>[5,7,3,8,6,1,4,2]=>0000000=>0000000 [6,2,4,1,8,3,5,7]=>[3,7,5,8,1,6,4,2]=>0000000=>0000000 [8,2,4,1,6,3,5,7]=>[1,7,5,8,3,6,4,2]=>1000000=>0000001 [8,2,1,4,6,3,5,7]=>[1,7,8,5,3,6,4,2]=>1000000=>0000001 [4,2,1,6,8,3,5,7]=>[5,7,8,3,1,6,4,2]=>0000000=>0000000 [4,2,1,3,6,8,5,7]=>[5,7,8,6,3,1,4,2]=>0000000=>0000000 [2,1,4,3,8,6,5,7]=>[7,8,5,6,1,3,4,2]=>0000000=>0000000 [2,4,1,3,8,6,5,7]=>[7,5,8,6,1,3,4,2]=>0000000=>0000000 [4,2,1,3,8,6,5,7]=>[5,7,8,6,1,3,4,2]=>0000000=>0000000 [4,2,1,8,3,6,5,7]=>[5,7,8,1,6,3,4,2]=>0000000=>0000000 [8,2,1,6,4,3,5,7]=>[1,7,8,3,5,6,4,2]=>1000000=>0000001 [8,2,6,1,4,3,5,7]=>[1,7,3,8,5,6,4,2]=>1000000=>0000001 [6,2,8,1,4,3,5,7]=>[3,7,1,8,5,6,4,2]=>0000000=>0000000 [4,2,8,1,6,3,5,7]=>[5,7,1,8,3,6,4,2]=>0000000=>0000000 [4,2,8,1,3,6,5,7]=>[5,7,1,8,6,3,4,2]=>0000000=>0000000 [2,4,8,1,3,6,5,7]=>[7,5,1,8,6,3,4,2]=>0000000=>0000000 [2,4,1,8,3,6,5,7]=>[7,5,8,1,6,3,4,2]=>0000000=>0000000 [2,4,8,1,6,3,5,7]=>[7,5,1,8,3,6,4,2]=>0000000=>0000000 [2,4,8,6,1,3,5,7]=>[7,5,1,3,8,6,4,2]=>0000000=>0000000 [4,2,8,6,1,3,5,7]=>[5,7,1,3,8,6,4,2]=>0000000=>0000000 [6,2,8,4,1,3,5,7]=>[3,7,1,5,8,6,4,2]=>0000000=>0000000 [8,2,6,4,1,3,5,7]=>[1,7,3,5,8,6,4,2]=>1000000=>0000001 [8,4,6,2,1,3,5,7]=>[1,5,3,7,8,6,4,2]=>1000000=>0000001 [6,4,8,2,1,3,5,7]=>[3,5,1,7,8,6,4,2]=>0000000=>0000000 [4,6,8,2,1,3,5,7]=>[5,3,1,7,8,6,4,2]=>0000000=>0000000 [2,6,8,4,1,3,5,7]=>[7,3,1,5,8,6,4,2]=>0000000=>0000000 [2,6,8,1,4,3,5,7]=>[7,3,1,8,5,6,4,2]=>0000000=>0000000 [2,8,1,6,4,3,5,7]=>[7,1,8,3,5,6,4,2]=>0000000=>0000000 [2,8,6,1,4,3,5,7]=>[7,1,3,8,5,6,4,2]=>0000000=>0000000 [2,8,6,4,1,3,5,7]=>[7,1,3,5,8,6,4,2]=>0000000=>0000000 [4,8,6,2,1,3,5,7]=>[5,1,3,7,8,6,4,2]=>0000000=>0000000 [6,8,4,2,1,3,5,7]=>[3,1,5,7,8,6,4,2]=>0000000=>0000000 [3,2,6,1,5,4,8,7]=>[6,7,3,8,4,5,1,2]=>0000000=>0000000 [5,2,4,3,8,1,7,6]=>[4,7,5,6,1,8,2,3]=>0000000=>0000000 [6,1,5,2,4,3,8,7]=>[3,8,4,7,5,6,1,2]=>0000000=>0000000 [6,1,3,2,5,4,8,7]=>[3,8,6,7,4,5,1,2]=>0000000=>0000000 [4,3,6,1,5,2,8,7]=>[5,6,3,8,4,7,1,2]=>0000000=>0000000 [4,3,7,2,6,5,8,1]=>[5,6,2,7,3,4,1,8]=>0000001=>1000000 [5,4,8,1,3,2,7,6]=>[4,5,1,8,6,7,2,3]=>0000000=>0000000 [2,1,5,4,8,3,7,6]=>[7,8,4,5,1,6,2,3]=>0000000=>0000000 [5,4,7,6,8,1,3,2]=>[4,5,2,3,1,8,6,7]=>0000100=>0010000 [4,3,7,6,8,1,5,2]=>[5,6,2,3,1,8,4,7]=>0000000=>0000000 [4,3,6,5,8,1,7,2]=>[5,6,3,4,1,8,2,7]=>0000000=>0000000 [6,3,5,4,8,1,7,2]=>[3,6,4,5,1,8,2,7]=>0000000=>0000000 [7,1,6,5,8,3,4,2]=>[2,8,3,4,1,6,5,7]=>0000000=>0000000 [7,4,6,5,8,1,3,2]=>[2,5,3,4,1,8,6,7]=>0000100=>0010000 [2,1,8,4,6,3,7,5]=>[7,8,1,5,3,6,2,4]=>0000000=>0000000 [8,3,5,2,6,1,7,4]=>[1,6,4,7,3,8,2,5]=>1000000=>0000001 [8,2,7,1,5,3,6,4]=>[1,7,2,8,4,6,3,5]=>1000000=>0000001 [8,1,7,2,4,3,6,5]=>[1,8,2,7,5,6,3,4]=>1000000=>0000001 [8,1,3,2,7,4,6,5]=>[1,8,6,7,2,5,3,4]=>1000000=>0000001 [2,1,8,3,7,4,6,5]=>[7,8,1,6,2,5,3,4]=>0000000=>0000000 [2,1,8,3,5,4,7,6]=>[7,8,1,6,4,5,2,3]=>0000000=>0000000 [8,1,3,2,5,4,7,6]=>[1,8,6,7,4,5,2,3]=>1000000=>0000001 [8,1,5,2,4,3,7,6]=>[1,8,4,7,5,6,2,3]=>1000000=>0000001 [8,2,4,1,7,3,6,5]=>[1,7,5,8,2,6,3,4]=>1000000=>0000001 [3,2,8,1,7,4,6,5]=>[6,7,1,8,2,5,3,4]=>0000000=>0000000 [3,2,8,1,5,4,7,6]=>[6,7,1,8,4,5,2,3]=>0000000=>0000000 [3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>0000000=>0000000 [4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>0000000=>0000000 [3,2,7,6,8,1,5,4]=>[6,7,2,3,1,8,4,5]=>0000000=>0000000 [3,2,7,1,8,5,6,4]=>[6,7,2,8,1,4,3,5]=>0000000=>0000000 [3,2,6,5,8,1,7,4]=>[6,7,3,4,1,8,2,5]=>0000000=>0000000 [7,2,4,1,8,5,6,3]=>[2,7,5,8,1,4,3,6]=>0000000=>0000000 [7,6,8,1,3,2,5,4]=>[2,3,1,8,6,7,4,5]=>0010000=>0000100 [7,1,8,5,6,2,4,3]=>[2,8,1,4,3,7,5,6]=>0000000=>0000000 [7,1,8,2,6,4,5,3]=>[2,8,1,7,3,5,4,6]=>0000000=>0000000 [7,2,8,1,5,4,6,3]=>[2,7,1,8,4,5,3,6]=>0000000=>0000000 [5,4,8,2,6,1,7,3]=>[4,5,1,7,3,8,2,6]=>0000000=>0000000 [6,1,8,4,7,2,5,3]=>[3,8,1,5,2,7,4,6]=>0000000=>0000000 [6,5,8,1,3,2,7,4]=>[3,4,1,8,6,7,2,5]=>0000000=>0000000 [2,1,6,5,8,3,7,4]=>[7,8,3,4,1,6,2,5]=>0000000=>0000000 [3,2,1,5,8,4,6,7]=>[6,7,8,4,1,5,3,2]=>0000000=>0000000 [2,8,3,1,5,4,6,7]=>[7,1,6,8,4,5,3,2]=>0000000=>0000000 [2,4,8,3,5,7,6,1]=>[7,5,1,6,4,2,3,8]=>0000001=>1000000 [1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>0000000=>0000000 [8,1,5,3,2,4,6,7]=>[1,8,4,6,7,5,3,2]=>1000000=>0000001 [3,8,1,5,2,4,6,7]=>[6,1,8,4,7,5,3,2]=>0000000=>0000000 [5,1,4,8,3,2,6,7]=>[4,8,5,1,6,7,3,2]=>0000000=>0000000 [1,5,8,4,3,2,6,7]=>[8,4,1,5,6,7,3,2]=>0000000=>0000000 [1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000=>0000000 [8,1,5,3,7,4,6,2]=>[1,8,4,6,2,5,3,7]=>1000000=>0000001 [1,4,3,8,7,5,6,2]=>[8,5,6,1,2,4,3,7]=>0000000=>0000000 [7,1,6,8,4,3,2,5]=>[2,8,3,1,5,6,7,4]=>0000000=>0000000 [1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>0000000=>0000000 [6,7,1,4,2,8,3,5]=>[3,2,8,5,7,1,6,4]=>0000000=>0000000 [6,3,7,1,4,8,2,5]=>[3,6,2,8,5,1,7,4]=>0000000=>0000000 [3,7,8,1,5,2,4,6]=>[6,2,1,8,4,7,5,3]=>0000000=>0000000 [7,1,2,8,5,3,4,6]=>[2,8,7,1,4,6,5,3]=>0000000=>0000000 [1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000=>0000000 [4,2,1,7,8,5,3,6]=>[5,7,8,2,1,4,6,3]=>0000000=>0000000 [2,6,8,4,3,7,5,1]=>[7,3,1,5,6,2,4,8]=>0000001=>1000000 [2,6,7,3,1,4,8,5]=>[7,3,2,6,8,5,1,4]=>0000000=>0000000 [2,7,1,8,3,5,4,6]=>[7,2,8,1,6,4,5,3]=>0000000=>0000000 [2,1,7,3,5,8,4,6]=>[7,8,2,6,4,1,5,3]=>0000000=>0000000 [1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>0000000=>0000000 [8,7,1,3,6,2,4,5]=>[1,2,8,6,3,7,5,4]=>1100000=>0000011 [8,2,1,7,3,5,6,4]=>[1,7,8,2,6,4,3,5]=>1000000=>0000001 [7,8,2,6,3,1,5,4]=>[2,1,7,3,6,8,4,5]=>0100000=>0000010 [2,8,4,1,6,7,5,3]=>[7,1,5,8,3,2,4,6]=>0000000=>0000000 [2,1,8,4,7,5,6,3]=>[7,8,1,5,2,4,3,6]=>0000000=>0000000 [1,2,8,7,4,5,6,3]=>[8,7,1,2,5,4,3,6]=>0000000=>0000000 [8,3,7,1,5,6,2,4]=>[1,6,2,8,4,3,7,5]=>1000000=>0000001 [8,1,6,2,7,4,5,3]=>[1,8,3,7,2,5,4,6]=>1000000=>0000001 [1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>0000000=>0000000 [5,2,1,8,6,7,4,3]=>[4,7,8,1,3,2,5,6]=>0000000=>0000000 [7,8,1,6,4,2,5,3]=>[2,1,8,3,5,7,4,6]=>0100000=>0000010 [8,7,6,5,1,4,2,3]=>[1,2,3,4,8,5,7,6]=>1111000=>0001111 [8,7,6,1,5,3,4,2]=>[1,2,3,8,4,6,5,7]=>1110000=>0000111 [8,7,1,6,4,5,3,2]=>[1,2,8,3,5,4,6,7]=>1100000=>0000011 [8,1,7,5,6,4,3,2]=>[1,8,2,4,3,5,6,7]=>1000000=>0000001 [6,3,5,2,1,4,8,7]=>[3,6,4,7,8,5,1,2]=>0000000=>0000000 [8,3,5,7,2,4,1,6]=>[1,6,4,2,7,5,8,3]=>1000000=>0000001 [6,5,3,1,2,4,8,7]=>[3,4,6,8,7,5,1,2]=>0000000=>0000000 [4,5,3,6,1,2,8,7]=>[5,4,6,3,8,7,1,2]=>0000000=>0000000 [3,5,1,4,6,2,8,7]=>[6,4,8,5,3,7,1,2]=>0000000=>0000000 [8,1,4,7,3,6,2,5]=>[1,8,5,2,6,3,7,4]=>1000000=>0000001 [8,5,1,4,7,3,2,6]=>[1,4,8,5,2,6,7,3]=>1000000=>0000001 [8,5,3,7,1,4,2,6]=>[1,4,6,2,8,5,7,3]=>1000000=>0000001 [2,1,8,5,7,4,3,6]=>[7,8,1,4,2,5,6,3]=>0000000=>0000000 [5,1,4,6,8,3,7,2]=>[4,8,5,3,1,6,2,7]=>0000000=>0000000 [4,7,1,3,5,8,6,2]=>[5,2,8,6,4,1,3,7]=>0000000=>0000000 [4,8,3,7,1,2,6,5]=>[5,1,6,2,8,7,3,4]=>0000000=>0000000 [3,8,1,2,5,7,6,4]=>[6,1,8,7,4,2,3,5]=>0000000=>0000000 [8,7,1,4,2,6,3,5]=>[1,2,8,5,7,3,6,4]=>1100000=>0000011 [8,6,3,1,2,4,7,5]=>[1,3,6,8,7,5,2,4]=>1000000=>0000001 [2,1,8,7,5,3,4,6]=>[7,8,1,2,4,6,5,3]=>0000000=>0000000 [8,1,7,4,5,2,3,6]=>[1,8,2,5,4,7,6,3]=>1000000=>0000001 [8,7,2,6,4,1,3,5]=>[1,2,7,3,5,8,6,4]=>1100000=>0000011 [5,3,7,8,2,4,6,1]=>[4,6,2,1,7,5,3,8]=>0000001=>1000000 [5,3,7,6,2,1,8,4]=>[4,6,2,3,7,8,1,5]=>0000000=>0000000 [5,7,8,6,4,2,1,3]=>[4,2,1,3,5,7,8,6]=>0001100=>0011000 [6,7,3,5,1,8,2,4]=>[3,2,6,4,8,1,7,5]=>0000000=>0000000 [2,1,6,7,5,8,3,4]=>[7,8,3,2,4,1,6,5]=>0000000=>0000000 [2,1,5,7,3,6,8,4]=>[7,8,4,2,6,3,1,5]=>0000000=>0000000 [4,1,7,2,5,6,8,3]=>[5,8,2,7,4,3,1,6]=>0000000=>0000000 [2,4,7,1,6,5,8,3]=>[7,5,2,8,3,4,1,6]=>0000000=>0000000 [3,5,6,4,7,1,8,2]=>[6,4,3,5,2,8,1,7]=>0000000=>0000000 [4,2,1,7,3,5,8,6]=>[5,7,8,2,6,4,1,3]=>0000000=>0000000 [6,3,1,4,2,8,5,7]=>[3,6,8,5,7,1,4,2]=>0000000=>0000000 [8,2,5,1,3,7,6,4]=>[1,7,4,8,6,2,3,5]=>1000000=>0000001 [7,2,5,1,4,3,8,6]=>[2,7,4,8,5,6,1,3]=>0000000=>0000000 [4,3,7,2,1,5,8,6]=>[5,6,2,7,8,4,1,3]=>0000000=>0000000 [3,6,2,7,1,4,8,5]=>[6,3,7,2,8,5,1,4]=>0000000=>0000000 [6,4,3,2,1,8,5,7]=>[3,5,6,7,8,1,4,2]=>0000000=>0000000 [6,2,7,5,3,8,1,4]=>[3,7,2,4,6,1,8,5]=>0000000=>0000000 [1,8,6,3,2,7,5,4]=>[8,1,3,6,7,2,4,5]=>0000000=>0000000 [3,8,6,1,7,2,5,4]=>[6,1,3,8,2,7,4,5]=>0000000=>0000000 [5,8,4,6,7,1,3,2]=>[4,1,5,3,2,8,6,7]=>0000100=>0010000 [7,2,8,5,6,1,4,3]=>[2,7,1,4,3,8,5,6]=>0000000=>0000000 [6,5,4,8,3,2,1,7]=>[3,4,5,1,6,7,8,2]=>0000000=>0000000 [8,2,4,7,1,3,6,5]=>[1,7,5,2,8,6,3,4]=>1000000=>0000001 [2,5,7,4,8,1,3,6]=>[7,4,2,5,1,8,6,3]=>0000000=>0000000 [4,3,6,7,8,1,2,5]=>[5,6,3,2,1,8,7,4]=>0000000=>0000000 [5,4,6,7,2,8,1,3]=>[4,5,3,2,7,1,8,6]=>0000000=>0000000 [3,5,7,1,4,8,2,6]=>[6,4,2,8,5,1,7,3]=>0000000=>0000000 [6,4,2,5,8,3,1,7]=>[3,5,7,4,1,6,8,2]=>0000000=>0000000 [5,4,1,6,8,2,3,7]=>[4,5,8,3,1,7,6,2]=>0000000=>0000000 [5,3,1,7,2,8,4,6]=>[4,6,8,2,7,1,5,3]=>0000000=>0000000 [6,5,2,1,7,8,3,4]=>[3,4,7,8,2,1,6,5]=>0000000=>0000000 [4,7,2,5,8,6,3,1]=>[5,2,7,4,1,3,6,8]=>0000001=>1000000 [6,5,3,8,7,4,1,2]=>[3,4,6,1,2,5,8,7]=>0000010=>0100000 [6,4,8,2,1,7,5,3]=>[3,5,1,7,8,2,4,6]=>0000000=>0000000 [2,5,8,7,1,3,6,4]=>[7,4,1,2,8,6,3,5]=>0000000=>0000000 [8,3,7,6,1,5,4,2]=>[1,6,2,3,8,4,5,7]=>1000000=>0000001 [4,7,3,8,6,5,1,2]=>[5,2,6,1,3,4,8,7]=>0000010=>0100000 [7,5,8,6,4,3,2,1]=>[2,4,1,3,5,6,7,8]=>0001111=>1111000 [5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>000000000=>000000000 [7,5,6,3,1,4,2,8]=>[2,4,3,6,8,5,7,1]=>0000000=>0000000 [7,8,5,3,6,1,4,2]=>[2,1,4,6,3,8,5,7]=>0100000=>0000010 [7,8,5,3,1,4,6,2]=>[2,1,4,6,8,5,3,7]=>0100000=>0000010 [7,5,8,3,4,1,6,2]=>[2,4,1,6,5,8,3,7]=>0000000=>0000000 [7,5,6,3,1,4,8,2]=>[2,4,3,6,8,5,1,7]=>0000000=>0000000 [7,5,6,3,1,2,8,4]=>[2,4,3,6,8,7,1,5]=>0000000=>0000000 [7,5,3,6,1,4,8,2]=>[2,4,6,3,8,5,1,7]=>0000000=>0000000 [7,5,3,6,4,1,8,2]=>[2,4,6,3,5,8,1,7]=>0000000=>0000000 [7,5,3,8,4,1,6,2]=>[2,4,6,1,5,8,3,7]=>0000000=>0000000 [7,5,3,8,1,4,6,2]=>[2,4,6,1,8,5,3,7]=>0000000=>0000000 [7,5,3,1,8,4,6,2]=>[2,4,6,8,1,5,3,7]=>0000000=>0000000 [7,5,3,1,6,4,2,8]=>[2,4,6,8,3,5,7,1]=>0000000=>0000000 [7,5,3,1,8,4,2,6]=>[2,4,6,8,1,5,7,3]=>0000000=>0000000 [7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]=>0000000=>0000000 [7,5,3,8,6,1,4,2]=>[2,4,6,1,3,8,5,7]=>0000000=>0000000 [7,5,3,8,6,4,1,2]=>[2,4,6,1,3,5,8,7]=>0000010=>0100000 [7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>0000000=>0000000 [7,5,3,8,1,4,2,6]=>[2,4,6,1,8,5,7,3]=>0000000=>0000000 [7,5,3,6,1,4,2,8]=>[2,4,6,3,8,5,7,1]=>0000000=>0000000 [7,5,3,6,4,1,2,8]=>[2,4,6,3,5,8,7,1]=>0000000=>0000000 [7,5,3,8,6,1,2,4]=>[2,4,6,1,3,8,7,5]=>0000000=>0000000 [7,5,6,3,8,1,2,4]=>[2,4,3,6,1,8,7,5]=>0000000=>0000000 [7,5,6,3,1,8,4,2]=>[2,4,3,6,8,1,5,7]=>0000000=>0000000 [7,5,3,6,8,1,4,2]=>[2,4,6,3,1,8,5,7]=>0000000=>0000000 [7,5,3,1,4,8,6,2]=>[2,4,6,8,5,1,3,7]=>0000000=>0000000 [7,5,3,4,1,8,6,2]=>[2,4,6,5,8,1,3,7]=>0000000=>0000000 [7,5,3,1,2,6,8,4]=>[2,4,6,8,7,3,1,5]=>0000000=>0000000 [4,6,8,3,5,7,1,2]=>[5,3,1,6,4,2,8,7]=>0000010=>0100000 [6,8,1,2,4,5,7,3]=>[3,1,8,7,5,4,2,6]=>0000000=>0000000 [3,6,8,2,5,7,1,4]=>[6,3,1,7,4,2,8,5]=>0000000=>0000000 [3,5,8,2,4,7,1,6]=>[6,4,1,7,5,2,8,3]=>0000000=>0000000 [3,5,7,2,4,6,1,8]=>[6,4,2,7,5,3,8,1]=>0000000=>0000000 [4,2,5,7,3,6,1,8]=>[5,7,4,2,6,3,8,1]=>0000000=>0000000 [1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>0000000=>0000000 [1,4,3,8,2,6,7,5]=>[8,5,6,1,7,3,2,4]=>0000000=>0000000 [5,4,8,3,2,1,6,7]=>[4,5,1,6,7,8,3,2]=>0000000=>0000000 [5,4,3,7,2,6,1,8]=>[4,5,6,2,7,3,8,1]=>0000000=>0000000 [4,3,6,2,7,5,1,8]=>[5,6,3,7,2,4,8,1]=>0000000=>0000000 [4,6,3,2,1,8,5,7]=>[5,3,6,7,8,1,4,2]=>0000000=>0000000 [4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>0000000=>0000000 [5,3,1,6,4,2,8,7]=>[4,6,8,3,5,7,1,2]=>0000000=>0000000 [1,3,8,5,4,2,7,6]=>[8,6,1,4,5,7,2,3]=>0000000=>0000000 [1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>0000000=>0000000 [1,6,8,7,4,2,5,3]=>[8,3,1,2,5,7,4,6]=>0000000=>0000000 [6,4,8,7,5,3,1,2]=>[3,5,1,2,4,6,8,7]=>0000110=>0110000 [3,1,2,7,6,4,8,5]=>[6,8,7,2,3,5,1,4]=>0000000=>0000000 [6,3,2,1,8,5,4,7]=>[3,6,7,8,1,4,5,2]=>0000000=>0000000 [5,2,6,3,7,4,1,8]=>[4,7,3,6,2,5,8,1]=>0000000=>0000000 [1,6,7,2,8,4,5,3]=>[8,3,2,7,1,5,4,6]=>0000000=>0000000 [5,1,2,7,8,3,6,4]=>[4,8,7,2,1,6,3,5]=>0000000=>0000000 [6,4,2,7,3,5,1,8]=>[3,5,7,2,6,4,8,1]=>0000000=>0000000 [7,3,2,1,8,4,5,6]=>[2,6,7,8,1,5,4,3]=>0000000=>0000000 [3,7,2,8,6,1,4,5]=>[6,2,7,1,3,8,5,4]=>0000000=>0000000 [7,8,3,2,5,6,1,4]=>[2,1,6,7,4,3,8,5]=>0100000=>0000010 [8,7,6,1,2,4,5,3]=>[1,2,3,8,7,5,4,6]=>1110000=>0000111 [8,3,7,6,2,1,4,5]=>[1,6,2,3,7,8,5,4]=>1000000=>0000001 [8,3,6,5,2,1,4,7]=>[1,6,3,4,7,8,5,2]=>1000000=>0000001 [4,2,8,1,7,5,3,6]=>[5,7,1,8,2,4,6,3]=>0000000=>0000000 [8,2,4,1,7,6,3,5]=>[1,7,5,8,2,3,6,4]=>1000000=>0000001 [8,7,1,5,6,2,4,3]=>[1,2,8,4,3,7,5,6]=>1100000=>0000011 [6,8,3,7,5,4,1,2]=>[3,1,6,2,4,5,8,7]=>0000010=>0100000 [6,1,8,2,3,7,5,4]=>[3,8,1,7,6,2,4,5]=>0000000=>0000000 [8,1,2,6,4,3,7,5]=>[1,8,7,3,5,6,2,4]=>1000000=>0000001 [1,7,2,4,3,8,6,5]=>[8,2,7,5,6,1,3,4]=>0000000=>0000000 [1,7,2,8,3,6,5,4]=>[8,2,7,1,6,3,4,5]=>0000000=>0000000 [4,3,1,2,8,7,6,5]=>[5,6,8,7,1,2,3,4]=>0000000=>0000000 [8,6,4,1,5,2,7,3]=>[1,3,5,8,4,7,2,6]=>1000000=>0000001 [8,7,2,4,5,3,1,6]=>[1,2,7,5,4,6,8,3]=>1100000=>0000011 [8,6,1,7,4,3,2,5]=>[1,3,8,2,5,6,7,4]=>1000000=>0000001 [7,4,8,3,1,6,2,5]=>[2,5,1,6,8,3,7,4]=>0000000=>0000000 [8,5,7,4,6,1,3,2]=>[1,4,2,5,3,8,6,7]=>1000100=>0010001 [4,3,1,8,7,5,2,6]=>[5,6,8,1,2,4,7,3]=>0000000=>0000000 [1,4,8,6,3,5,2,7]=>[8,5,1,3,6,4,7,2]=>0000000=>0000000 [1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>0000000=>0000000 [3,1,4,6,8,7,2,5]=>[6,8,5,3,1,2,7,4]=>0000000=>0000000 [1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>0000000=>0000000 [7,1,6,4,8,5,2,3]=>[2,8,3,5,1,4,7,6]=>0000000=>0000000 [7,3,6,8,5,1,2,4]=>[2,6,3,1,4,8,7,5]=>0000000=>0000000 [1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>0000000=>0000000 [3,6,5,2,8,1,4,7]=>[6,3,4,7,1,8,5,2]=>0000000=>0000000 [5,7,1,8,4,2,6,3]=>[4,2,8,1,5,7,3,6]=>0000000=>0000000 [5,7,1,2,8,6,3,4]=>[4,2,8,7,1,3,6,5]=>0000000=>0000000 [4,2,6,3,8,1,5,7]=>[5,7,3,6,1,8,4,2]=>0000000=>0000000 [4,2,6,7,3,5,1,8]=>[5,7,3,2,6,4,8,1]=>0000000=>0000000 [3,6,2,4,7,5,1,8]=>[6,3,7,5,2,4,8,1]=>0000000=>0000000 [4,7,3,1,5,8,6,2]=>[5,2,6,8,4,1,3,7]=>0000000=>0000000 [8,7,6,4,3,1,5,2]=>[1,2,3,5,6,8,4,7]=>1110000=>0000111 [8,7,6,4,1,5,2,3]=>[1,2,3,5,8,4,7,6]=>1110000=>0000111 [3,8,2,7,1,5,4,6]=>[6,1,7,2,8,4,5,3]=>0000000=>0000000 [4,2,8,1,5,7,3,6]=>[5,7,1,8,4,2,6,3]=>0000000=>0000000 [8,5,7,6,1,4,2,3]=>[1,4,2,3,8,5,7,6]=>1001000=>0001001 [8,6,1,7,3,5,4,2]=>[1,3,8,2,6,4,5,7]=>1000000=>0000001 [8,6,1,7,5,4,2,3]=>[1,3,8,2,4,5,7,6]=>1000000=>0000001 [1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000=>0000000 [1,8,2,4,6,7,3,5]=>[8,1,7,5,3,2,6,4]=>0000000=>0000000 [2,8,5,4,7,1,3,6]=>[7,1,4,5,2,8,6,3]=>0000000=>0000000 [1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>0000000=>0000000 [1,2,7,8,3,6,5,4]=>[8,7,2,1,6,3,4,5]=>0000000=>0000000 [1,6,8,5,4,3,2,7]=>[8,3,1,4,5,6,7,2]=>0000000=>0000000 [7,1,6,4,2,3,5,8]=>[2,8,3,5,7,6,4,1]=>0000000=>0000000 [2,7,1,4,8,3,5,6]=>[7,2,8,5,1,6,4,3]=>0000000=>0000000 [8,6,2,4,7,3,5,1]=>[1,3,7,5,2,6,4,8]=>1000001=>1000001 [8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>1000001=>1000001 [7,1,4,6,5,8,3,2]=>[2,8,5,3,4,1,6,7]=>0000000=>0000000 [3,6,7,1,4,8,5,2]=>[6,3,2,8,5,1,4,7]=>0000000=>0000000 [2,5,1,4,7,8,6,3]=>[7,4,8,5,2,1,3,6]=>0000000=>0000000 [5,6,7,8,1,3,4,2]=>[4,3,2,1,8,6,5,7]=>0001000=>0001000 [5,7,8,6,1,2,3,4]=>[4,2,1,3,8,7,6,5]=>0001000=>0001000 [2,8,3,1,5,6,4,7]=>[7,1,6,8,4,3,5,2]=>0000000=>0000000 [4,3,1,7,6,8,2,5]=>[5,6,8,2,3,1,7,4]=>0000000=>0000000 [2,4,6,1,7,5,8,3]=>[7,5,3,8,2,4,1,6]=>0000000=>0000000 [5,8,1,6,3,7,2,4]=>[4,1,8,3,6,2,7,5]=>0000000=>0000000 [7,6,5,1,3,8,2,4]=>[2,3,4,8,6,1,7,5]=>0000000=>0000000 [7,6,5,1,3,4,8,2]=>[2,3,4,8,6,5,1,7]=>0000000=>0000000 [8,4,5,3,7,2,6,1]=>[1,5,4,6,2,7,3,8]=>1000001=>1000001 [3,6,4,8,1,7,2,5]=>[6,3,5,1,8,2,7,4]=>0000000=>0000000 [4,2,8,3,6,1,5,7]=>[5,7,1,6,3,8,4,2]=>0000000=>0000000 [6,7,5,8,2,1,4,3]=>[3,2,4,1,7,8,5,6]=>0001000=>0001000 [7,4,5,3,8,2,1,6]=>[2,5,4,6,1,7,8,3]=>0000000=>0000000 [1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>0000000=>0000000 [1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>0000000=>0000000 [1,6,7,5,2,3,8,4]=>[8,3,2,4,7,6,1,5]=>0000000=>0000000 [1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>0000000=>0000000 [1,5,7,6,2,4,8,3]=>[8,4,2,3,7,5,1,6]=>0000000=>0000000 [1,3,7,5,2,6,8,4]=>[8,6,2,4,7,3,1,5]=>0000000=>0000000 [1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>0000000=>0000000 [6,8,1,4,3,2,7,5]=>[3,1,8,5,6,7,2,4]=>0000000=>0000000 [7,3,5,4,8,1,6,2]=>[2,6,4,5,1,8,3,7]=>0000000=>0000000 [1,4,5,8,3,7,6,2]=>[8,5,4,1,6,2,3,7]=>0000000=>0000000 [1,8,5,2,3,7,6,4]=>[8,1,4,7,6,2,3,5]=>0000000=>0000000 [6,8,2,4,3,7,1,5]=>[3,1,7,5,6,2,8,4]=>0000000=>0000000 [4,8,5,7,3,2,1,6]=>[5,1,4,2,6,7,8,3]=>0000000=>0000000 [7,8,1,2,4,3,5,6]=>[2,1,8,7,5,6,4,3]=>0100000=>0000010 [3,4,6,5,7,8,1,2]=>[6,5,3,4,2,1,8,7]=>0000010=>0100000 [4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>0000000=>0000000 [6,7,3,8,4,5,1,2]=>[3,2,6,1,5,4,8,7]=>0000010=>0100000 [6,7,4,5,1,8,2,3]=>[3,2,5,4,8,1,7,6]=>0000000=>0000000 [4,7,5,6,2,3,1,8]=>[5,2,4,3,7,6,8,1]=>0000000=>0000000 [4,7,5,6,3,8,1,2]=>[5,2,4,3,6,1,8,7]=>0000010=>0100000 [4,8,3,6,5,7,1,2]=>[5,1,6,3,4,2,8,7]=>0000010=>0100000 [5,6,3,8,4,7,1,2]=>[4,3,6,1,5,2,8,7]=>0000010=>0100000 [5,6,1,7,3,8,2,4]=>[4,3,8,2,6,1,7,5]=>0000000=>0000000 [5,6,1,8,4,7,2,3]=>[4,3,8,1,5,2,7,6]=>0000000=>0000000 [7,8,4,5,1,6,2,3]=>[2,1,5,4,8,3,7,6]=>0100000=>0000010 [4,5,2,3,1,8,6,7]=>[5,4,7,6,8,1,3,2]=>0000000=>0000000 [5,6,2,8,1,4,3,7]=>[4,3,7,1,8,5,6,2]=>0000000=>0000000 [5,6,3,4,1,8,2,7]=>[4,3,6,5,8,1,7,2]=>0000000=>0000000 [2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>0000000=>0000000 [1,5,3,8,6,7,2,4]=>[8,4,6,1,3,2,7,5]=>0000000=>0000000 [1,8,3,6,5,7,2,4]=>[8,1,6,3,4,2,7,5]=>0000000=>0000000 [1,6,4,7,3,8,2,5]=>[8,3,5,2,6,1,7,4]=>0000000=>0000000 [1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000=>0000000 [1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>0000000=>0000000 [2,7,5,6,3,4,1,8]=>[7,2,4,3,6,5,8,1]=>0000000=>0000000 [6,7,2,5,3,4,1,8]=>[3,2,7,4,6,5,8,1]=>0000000=>0000000 [6,7,1,5,3,8,2,4]=>[3,2,8,4,6,1,7,5]=>0000000=>0000000 [6,7,1,8,2,5,3,4]=>[3,2,8,1,7,4,6,5]=>0000000=>0000000 [6,7,2,8,1,4,3,5]=>[3,2,7,1,8,5,6,4]=>0000000=>0000000 [6,7,3,4,1,8,2,5]=>[3,2,6,5,8,1,7,4]=>0000000=>0000000 [2,3,1,8,4,7,5,6]=>[7,6,8,1,5,2,4,3]=>0000000=>0000000 [2,3,1,8,6,7,4,5]=>[7,6,8,1,3,2,5,4]=>0000000=>0000000 [7,8,2,3,1,6,4,5]=>[2,1,7,6,8,3,5,4]=>0100000=>0000010 [2,8,1,7,3,5,4,6]=>[7,1,8,2,6,4,5,3]=>0000000=>0000000 [4,5,2,7,3,6,1,8]=>[5,4,7,2,6,3,8,1]=>0000000=>0000000 [3,8,1,5,2,7,4,6]=>[6,1,8,4,7,2,5,3]=>0000000=>0000000 [7,8,3,4,1,6,2,5]=>[2,1,6,5,8,3,7,4]=>0100000=>0000010 [3,6,5,4,1,2,8,7]=>[6,3,4,5,8,7,1,2]=>0000000=>0000000 [2,5,4,1,6,3,8,7]=>[7,4,5,8,3,6,1,2]=>0000000=>0000000 [3,6,5,1,2,4,8,7]=>[6,3,4,8,7,5,1,2]=>0000000=>0000000 [5,2,3,6,4,1,8,7]=>[4,7,6,3,5,8,1,2]=>0000000=>0000000 [5,8,1,3,7,6,4,2]=>[4,1,8,6,2,3,5,7]=>0000000=>0000000 [5,6,7,8,1,4,3,2]=>[4,3,2,1,8,5,6,7]=>0001000=>0001000 [6,4,2,7,3,8,5,1]=>[3,5,7,2,6,1,4,8]=>0000001=>1000000 [2,1,5,8,7,6,3,4]=>[7,8,4,1,2,3,6,5]=>0000000=>0000000 [2,1,4,7,6,3,8,5]=>[7,8,5,2,3,6,1,4]=>0000000=>0000000 [6,4,7,8,5,3,2,1]=>[3,5,2,1,4,6,7,8]=>0000111=>1110000 [6,3,7,1,5,2,8,4]=>[3,6,2,8,4,7,1,5]=>0000000=>0000000 [3,2,6,8,4,7,5,1]=>[6,7,3,1,5,2,4,8]=>0000001=>1000000 [8,4,6,1,3,2,5,7]=>[1,5,3,8,6,7,4,2]=>1000000=>0000001 [4,2,8,6,7,3,1,5]=>[5,7,1,3,2,6,8,4]=>0000000=>0000000 [8,1,6,4,3,7,2,5]=>[1,8,3,5,6,2,7,4]=>1000000=>0000001 [7,4,3,8,2,1,5,6]=>[2,5,6,1,7,8,4,3]=>0000000=>0000000 [2,4,1,5,8,3,7,6]=>[7,5,8,4,1,6,2,3]=>0000000=>0000000 [4,7,5,8,1,6,3,2]=>[5,2,4,1,8,3,6,7]=>0000000=>0000000 [2,1,5,8,7,3,4,6]=>[7,8,4,1,2,6,5,3]=>0000000=>0000000 [8,5,7,3,6,1,4,2]=>[1,4,2,6,3,8,5,7]=>1000000=>0000001 [7,2,3,4,8,5,6,1]=>[2,7,6,5,1,4,3,8]=>0000001=>1000000 [2,1,7,4,5,8,6,3]=>[7,8,2,5,4,1,3,6]=>0000000=>0000000 [6,8,7,2,5,3,1,4]=>[3,1,2,7,4,6,8,5]=>0010000=>0000100 [7,8,4,2,5,1,6,3]=>[2,1,5,7,4,8,3,6]=>0100000=>0000010 [6,1,2,3,7,5,8,4]=>[3,8,7,6,2,4,1,5]=>0000000=>0000000 [4,1,2,3,7,6,8,5]=>[5,8,7,6,2,3,1,4]=>0000000=>0000000 [3,2,4,1,8,5,6,7]=>[6,7,5,8,1,4,3,2]=>0000000=>0000000 [6,5,7,2,8,4,3,1]=>[3,4,2,7,1,5,6,8]=>0000001=>1000000 [7,4,3,5,1,6,8,2]=>[2,5,6,4,8,3,1,7]=>0000000=>0000000 [4,1,6,3,5,8,7,2]=>[5,8,3,6,4,1,2,7]=>0000000=>0000000 [8,6,7,1,5,4,3,2]=>[1,3,2,8,4,5,6,7]=>1010000=>0000101 [2,1,6,5,8,4,7,3]=>[7,8,3,4,1,5,2,6]=>0000000=>0000000 [8,2,3,1,7,4,6,5]=>[1,7,6,8,2,5,3,4]=>1000000=>0000001 [6,3,8,2,4,5,7,1]=>[3,6,1,7,5,4,2,8]=>0000001=>1000000 [5,8,4,2,3,6,1,7]=>[4,1,5,7,6,3,8,2]=>0000000=>0000000 [7,3,5,8,1,4,2,6]=>[2,6,4,1,8,5,7,3]=>0000000=>0000000 [5,1,8,3,6,7,2,4]=>[4,8,1,6,3,2,7,5]=>0000000=>0000000 [6,8,1,3,5,7,2,4]=>[3,1,8,6,4,2,7,5]=>0000000=>0000000 [3,8,1,6,5,4,2,7]=>[6,1,8,3,4,5,7,2]=>0000000=>0000000 [8,4,2,6,7,5,3,1]=>[1,5,7,3,2,4,6,8]=>1000001=>1000001 [1,3,8,6,2,7,5,4]=>[8,6,1,3,7,2,4,5]=>0000000=>0000000 [1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>0000000=>0000000 [5,7,8,6,2,1,4,3]=>[4,2,1,3,7,8,5,6]=>0001000=>0001000 [1,4,7,2,6,8,3,5]=>[8,5,2,7,3,1,6,4]=>0000000=>0000000 [4,3,7,8,5,1,6,2]=>[5,6,2,1,4,8,3,7]=>0000000=>0000000 [5,4,8,2,7,6,1,3]=>[4,5,1,7,2,3,8,6]=>0000000=>0000000 [4,1,7,5,8,6,2,3]=>[5,8,2,4,1,3,7,6]=>0000000=>0000000 [1,4,3,5,7,8,2,6]=>[8,5,6,4,2,1,7,3]=>0000000=>0000000 [7,6,1,2,8,3,5,4]=>[2,3,8,7,1,6,4,5]=>0000000=>0000000 [5,6,4,8,1,2,7,3]=>[4,3,5,1,8,7,2,6]=>0000000=>0000000 [6,5,4,1,2,3,8,7]=>[3,4,5,8,7,6,1,2]=>0000000=>0000000 [7,5,1,6,2,3,8,4]=>[2,4,8,3,7,6,1,5]=>0000000=>0000000 [6,4,5,1,8,2,7,3]=>[3,5,4,8,1,7,2,6]=>0000000=>0000000 [4,5,6,7,8,1,3,2]=>[5,4,3,2,1,8,6,7]=>0000100=>0010000 [4,3,6,7,2,1,5,8]=>[5,6,3,2,7,8,4,1]=>0000000=>0000000 [8,1,4,6,7,3,2,5]=>[1,8,5,3,2,6,7,4]=>1000000=>0000001 [7,3,1,5,4,8,2,6]=>[2,6,8,4,5,1,7,3]=>0000000=>0000000 [6,3,4,1,5,8,2,7]=>[3,6,5,8,4,1,7,2]=>0000000=>0000000 [7,4,1,5,3,2,6,8]=>[2,5,8,4,6,7,3,1]=>0000000=>0000000 [8,1,5,4,3,2,6,7]=>[1,8,4,5,6,7,3,2]=>1000000=>0000001 [8,1,6,4,2,5,3,7]=>[1,8,3,5,7,4,6,2]=>1000000=>0000001 [6,5,3,1,2,7,4,8]=>[3,4,6,8,7,2,5,1]=>0000000=>0000000 [5,6,3,8,1,4,2,7]=>[4,3,6,1,8,5,7,2]=>0000000=>0000000 [4,6,3,8,2,1,5,7]=>[5,3,6,1,7,8,4,2]=>0000000=>0000000 [4,7,8,3,2,1,5,6]=>[5,2,1,6,7,8,4,3]=>0000000=>0000000 [8,1,7,2,5,4,3,6]=>[1,8,2,7,4,5,6,3]=>1000000=>0000001 [8,1,6,3,2,5,7,4]=>[1,8,3,6,7,4,2,5]=>1000000=>0000001 [8,1,5,3,4,2,7,6]=>[1,8,4,6,5,7,2,3]=>1000000=>0000001 [6,3,2,1,5,7,4,8]=>[3,6,7,8,4,2,5,1]=>0000000=>0000000 [7,3,1,4,5,6,2,8]=>[2,6,8,5,4,3,7,1]=>0000000=>0000000 [8,1,4,3,5,6,2,7]=>[1,8,5,6,4,3,7,2]=>1000000=>0000001 [6,2,3,1,5,7,8,4]=>[3,7,6,8,4,2,1,5]=>0000000=>0000000 [4,8,3,6,2,1,5,7]=>[5,1,6,3,7,8,4,2]=>0000000=>0000000 [3,5,8,2,6,1,4,7]=>[6,4,1,7,3,8,5,2]=>0000000=>0000000 [5,3,7,2,4,8,1,6]=>[4,6,2,7,5,1,8,3]=>0000000=>0000000 [5,3,8,7,2,4,6,1]=>[4,6,1,2,7,5,3,8]=>0000001=>1000000 [5,6,4,8,1,3,2,7]=>[4,3,5,1,8,6,7,2]=>0000000=>0000000 [6,5,4,3,8,2,1,7]=>[3,4,5,6,1,7,8,2]=>0000000=>0000000 [5,4,3,7,2,8,1,6]=>[4,5,6,2,7,1,8,3]=>0000000=>0000000 [4,6,8,3,7,2,5,1]=>[5,3,1,6,2,7,4,8]=>0000001=>1000000 [8,5,4,7,6,2,1,3]=>[1,4,5,2,3,7,8,6]=>1000100=>0010001 [4,7,8,3,6,1,5,2]=>[5,2,1,6,3,8,4,7]=>0000000=>0000000 [8,4,6,1,7,3,5,2]=>[1,5,3,8,2,6,4,7]=>1000000=>0000001 [1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>0000000=>0000000 [4,2,6,1,7,8,3,5]=>[5,7,3,8,2,1,6,4]=>0000000=>0000000 [4,2,7,6,3,8,1,5]=>[5,7,2,3,6,1,8,4]=>0000000=>0000000 [5,7,3,8,2,1,4,6]=>[4,2,6,1,7,8,5,3]=>0000000=>0000000 [8,4,2,1,3,7,6,5]=>[1,5,7,8,6,2,3,4]=>1000000=>0000001 [8,1,3,7,4,2,6,5]=>[1,8,6,2,5,7,3,4]=>1000000=>0000001 [8,4,3,7,6,2,1,5]=>[1,5,6,2,3,7,8,4]=>1000000=>0000001 [6,8,2,4,7,1,5,3]=>[3,1,7,5,2,8,4,6]=>0000000=>0000000 [5,8,4,2,7,1,6,3]=>[4,1,5,7,2,8,3,6]=>0000000=>0000000 [8,5,3,1,7,2,6,4]=>[1,4,6,8,2,7,3,5]=>1000000=>0000001 [8,2,1,6,3,7,5,4]=>[1,7,8,3,6,2,4,5]=>1000000=>0000001 [6,8,3,1,7,5,2,4]=>[3,1,6,8,2,4,7,5]=>0000000=>0000000 [1,4,6,8,2,7,5,3]=>[8,5,3,1,7,2,4,6]=>0000000=>0000000 [6,2,8,1,5,7,4,3]=>[3,7,1,8,4,2,5,6]=>0000000=>0000000 [5,7,8,2,6,1,4,3]=>[4,2,1,7,3,8,5,6]=>0000000=>0000000 [7,4,8,1,6,2,5,3]=>[2,5,1,8,3,7,4,6]=>0000000=>0000000 [8,2,1,7,6,5,4,3]=>[1,7,8,2,3,4,5,6]=>1000000=>0000001 [8,6,7,5,1,4,3,2]=>[1,3,2,4,8,5,6,7]=>1011000=>0001101 [6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>0000000=>0000000 [5,8,3,6,2,1,4,7]=>[4,1,6,3,7,8,5,2]=>0000000=>0000000 [4,8,3,6,2,1,7,5]=>[5,1,6,3,7,8,2,4]=>0000000=>0000000 [3,8,7,6,2,1,4,5]=>[6,1,2,3,7,8,5,4]=>0000000=>0000000 [5,8,4,2,6,1,3,7]=>[4,1,5,7,3,8,6,2]=>0000000=>0000000 [4,8,3,2,5,1,7,6]=>[5,1,6,7,4,8,2,3]=>0000000=>0000000 [4,3,7,2,5,1,8,6]=>[5,6,2,7,4,8,1,3]=>0000000=>0000000 [3,8,7,2,5,1,4,6]=>[6,1,2,7,4,8,5,3]=>0000000=>0000000 [6,4,2,7,5,1,3,8]=>[3,5,7,2,4,8,6,1]=>0000000=>0000000 [5,4,2,6,7,1,3,8]=>[4,5,7,3,2,8,6,1]=>0000000=>0000000 [6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>0000000=>0000000 [6,4,7,3,1,5,8,2]=>[3,5,2,6,8,4,1,7]=>0000000=>0000000 [4,8,7,3,1,5,6,2]=>[5,1,2,6,8,4,3,7]=>0000000=>0000000 [6,5,3,7,1,4,8,2]=>[3,4,6,2,8,5,1,7]=>0000000=>0000000 [5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>0000000=>0000000 [6,4,3,7,1,5,8,2]=>[3,5,6,2,8,4,1,7]=>0000000=>0000000 [4,8,3,6,1,5,7,2]=>[5,1,6,3,8,4,2,7]=>0000000=>0000000 [5,8,4,2,1,7,3,6]=>[4,1,5,7,8,2,6,3]=>0000000=>0000000 [6,3,7,2,1,4,5,8]=>[3,6,2,7,8,5,4,1]=>0000000=>0000000 [3,8,7,2,1,4,5,6]=>[6,1,2,7,8,5,4,3]=>0000000=>0000000 [6,5,2,7,1,4,3,8]=>[3,4,7,2,8,5,6,1]=>0000000=>0000000 [5,8,2,6,1,4,3,7]=>[4,1,7,3,8,5,6,2]=>0000000=>0000000 [4,3,2,6,1,5,8,7]=>[5,6,7,3,8,4,1,2]=>0000000=>0000000 [2,8,7,6,1,4,3,5]=>[7,1,2,3,8,5,6,4]=>0000000=>0000000 [5,8,4,1,6,7,3,2]=>[4,1,5,8,3,2,6,7]=>0000000=>0000000 [5,8,3,1,6,4,7,2]=>[4,1,6,8,3,5,2,7]=>0000000=>0000000 [4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>0000000=>0000000 [6,4,2,1,5,8,3,7]=>[3,5,7,8,4,1,6,2]=>0000000=>0000000 [6,2,7,1,5,4,3,8]=>[3,7,2,8,4,5,6,1]=>0000000=>0000000 [3,2,7,1,5,4,6,8]=>[6,7,2,8,4,5,3,1]=>0000000=>0000000 [5,8,1,6,7,4,3,2]=>[4,1,8,3,2,5,6,7]=>0000000=>0000000 [6,4,1,7,5,8,3,2]=>[3,5,8,2,4,1,6,7]=>0000000=>0000000 [5,4,1,6,7,8,3,2]=>[4,5,8,3,2,1,6,7]=>0000000=>0000000 [4,2,1,6,5,7,3,8]=>[5,7,8,3,4,2,6,1]=>0000000=>0000000 [2,8,1,6,5,4,3,7]=>[7,1,8,3,4,5,6,2]=>0000000=>0000000 [8,1,3,5,7,2,4,6]=>[1,8,6,4,2,7,5,3]=>1000000=>0000001 [4,5,8,1,7,6,3,2]=>[5,4,1,8,2,3,6,7]=>0000000=>0000000 [4,5,8,7,2,1,6,3]=>[5,4,1,2,7,8,3,6]=>0000000=>0000000 [8,7,2,1,6,3,4,5]=>[1,2,7,8,3,6,5,4]=>1100000=>0000011 [8,6,4,1,7,5,3,2]=>[1,3,5,8,2,4,6,7]=>1000000=>0000001 [7,6,4,3,1,8,5,2]=>[2,3,5,6,8,1,4,7]=>0000000=>0000000 [7,4,2,6,8,5,1,3]=>[2,5,7,3,1,4,8,6]=>0000000=>0000000 [7,3,2,5,8,6,1,4]=>[2,6,7,4,1,3,8,5]=>0000000=>0000000 [7,3,1,8,6,2,4,5]=>[2,6,8,1,3,7,5,4]=>0000000=>0000000 [3,1,7,2,5,4,8,6]=>[6,8,2,7,4,5,1,3]=>0000000=>0000000 [7,4,1,8,5,2,3,6]=>[2,5,8,1,4,7,6,3]=>0000000=>0000000 [7,1,4,2,8,3,6,5]=>[2,8,5,7,1,6,3,4]=>0000000=>0000000 [7,1,8,2,5,3,6,4]=>[2,8,1,7,4,6,3,5]=>0000000=>0000000 [7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>0000000=>0000000 [8,3,7,4,6,1,5,2]=>[1,6,2,5,3,8,4,7]=>1000000=>0000001 [8,2,7,1,6,4,5,3]=>[1,7,2,8,3,5,4,6]=>1000000=>0000001 [8,1,7,5,4,2,3,6]=>[1,8,2,4,5,7,6,3]=>1000000=>0000001 [8,1,2,6,5,4,3,7]=>[1,8,7,3,4,5,6,2]=>1000000=>0000001 [1,7,2,6,5,4,3,8]=>[8,2,7,3,4,5,6,1]=>0000000=>0000000 [8,2,5,7,6,3,1,4]=>[1,7,4,2,3,6,8,5]=>1000000=>0000001 [8,2,7,5,6,1,4,3]=>[1,7,2,4,3,8,5,6]=>1000000=>0000001 [8,6,7,2,3,1,5,4]=>[1,3,2,7,6,8,4,5]=>1010000=>0000101 [2,7,8,6,3,1,5,4]=>[7,2,1,3,6,8,4,5]=>0000000=>0000000 [2,7,8,1,6,5,4,3]=>[7,2,1,8,3,4,5,6]=>0000000=>0000000 [8,1,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>1000000=>0000001 [8,7,2,1,6,5,4,3]=>[1,2,7,8,3,4,5,6]=>1100000=>0000011 [8,7,6,3,2,1,5,4]=>[1,2,3,6,7,8,4,5]=>1110000=>0000111 [2,1,8,6,3,7,4,5]=>[7,8,1,3,6,2,5,4]=>0000000=>0000000 [8,5,1,7,4,2,6,3]=>[1,4,8,2,5,7,3,6]=>1000000=>0000001 [2,1,8,4,5,3,6,7]=>[7,8,1,5,4,6,3,2]=>0000000=>0000000 [2,1,7,8,3,6,5,4]=>[7,8,2,1,6,3,4,5]=>0000000=>0000000 [2,1,5,4,6,8,3,7]=>[7,8,4,5,3,1,6,2]=>0000000=>0000000 [8,5,3,1,6,2,4,7]=>[1,4,6,8,3,7,5,2]=>1000000=>0000001 [8,3,7,5,2,6,1,4]=>[1,6,2,4,7,3,8,5]=>1000000=>0000001 [4,3,7,8,5,2,1,6]=>[5,6,2,1,4,7,8,3]=>0000000=>0000000 [5,8,3,7,6,2,1,4]=>[4,1,6,2,3,7,8,5]=>0000000=>0000000 [5,2,4,8,6,3,1,7]=>[4,7,5,1,3,6,8,2]=>0000000=>0000000 [4,2,6,3,8,5,1,7]=>[5,7,3,6,1,4,8,2]=>0000000=>0000000 [8,5,2,7,4,6,1,3]=>[1,4,7,2,5,3,8,6]=>1000000=>0000001 [6,3,4,2,1,7,8,5]=>[3,6,5,7,8,2,1,4]=>0000000=>0000000 [7,2,4,3,1,5,8,6]=>[2,7,5,6,8,4,1,3]=>0000000=>0000000 [7,8,3,1,5,4,6,2]=>[2,1,6,8,4,5,3,7]=>0100000=>0000010 [7,2,8,1,4,6,5,3]=>[2,7,1,8,5,3,4,6]=>0000000=>0000000 [6,2,3,1,4,5,8,7]=>[3,7,6,8,5,4,1,2]=>0000000=>0000000 [5,6,1,4,3,2,8,7]=>[4,3,8,5,6,7,1,2]=>0000000=>0000000 [5,7,1,8,3,6,2,4]=>[4,2,8,1,6,3,7,5]=>0000000=>0000000 [6,8,1,4,5,3,2,7]=>[3,1,8,5,4,6,7,2]=>0000000=>0000000 [8,7,5,1,3,4,2,6]=>[1,2,4,8,6,5,7,3]=>1100000=>0000011 [6,5,7,1,3,8,2,4]=>[3,4,2,8,6,1,7,5]=>0000000=>0000000 [8,2,6,1,4,7,3,5]=>[1,7,3,8,5,2,6,4]=>1000000=>0000001 [5,8,1,6,3,7,4,2]=>[4,1,8,3,6,2,5,7]=>0000000=>0000000 [4,2,1,3,6,7,8,5]=>[5,7,8,6,3,2,1,4]=>0000000=>0000000 [2,3,4,1,8,6,5,7]=>[7,6,5,8,1,3,4,2]=>0000000=>0000000 [8,3,5,6,1,7,4,2]=>[1,6,4,3,8,2,5,7]=>1000000=>0000001 [7,3,6,5,4,1,8,2]=>[2,6,3,4,5,8,1,7]=>0000000=>0000000 [8,3,6,4,5,1,2,7]=>[1,6,3,5,4,8,7,2]=>1000000=>0000001 [7,3,5,8,1,6,2,4]=>[2,6,4,1,8,3,7,5]=>0000000=>0000000 [6,3,5,4,1,2,8,7]=>[3,6,4,5,8,7,1,2]=>0000000=>0000000 [2,7,8,5,1,6,4,3]=>[7,2,1,4,8,3,5,6]=>0000000=>0000000 [8,7,3,6,5,1,4,2]=>[1,2,6,3,4,8,5,7]=>1100000=>0000011 [2,8,3,4,6,1,5,7]=>[7,1,6,5,3,8,4,2]=>0000000=>0000000 [2,7,4,3,6,1,8,5]=>[7,2,5,6,3,8,1,4]=>0000000=>0000000 [3,2,8,4,7,1,6,5]=>[6,7,1,5,2,8,3,4]=>0000000=>0000000 [3,8,4,7,1,6,5,2]=>[6,1,5,2,8,3,4,7]=>0000000=>0000000 [6,5,4,3,1,8,7,2]=>[3,4,5,6,8,1,2,7]=>0000000=>0000000 [3,4,6,2,8,5,1,7]=>[6,5,3,7,1,4,8,2]=>0000000=>0000000 [3,4,6,7,1,8,5,2]=>[6,5,3,2,8,1,4,7]=>0000000=>0000000 [3,4,6,8,1,5,2,7]=>[6,5,3,1,8,4,7,2]=>0000000=>0000000 [3,4,7,2,1,8,6,5]=>[6,5,2,7,8,1,3,4]=>0000000=>0000000 [3,4,7,2,8,5,6,1]=>[6,5,2,7,1,4,3,8]=>0000001=>1000000 [3,4,8,2,1,5,6,7]=>[6,5,1,7,8,4,3,2]=>0000000=>0000000 [3,5,2,6,7,8,1,4]=>[6,4,7,3,2,1,8,5]=>0000000=>0000000 [3,5,2,6,8,4,1,7]=>[6,4,7,3,1,5,8,2]=>0000000=>0000000 [3,5,2,7,4,8,6,1]=>[6,4,7,2,5,1,3,8]=>0000001=>1000000 [3,5,2,7,8,4,6,1]=>[6,4,7,2,1,5,3,8]=>0000001=>1000000 [3,5,6,2,7,8,1,4]=>[6,4,3,7,2,1,8,5]=>0000000=>0000000 [3,5,6,2,8,4,1,7]=>[6,4,3,7,1,5,8,2]=>0000000=>0000000 [3,5,6,8,4,1,2,7]=>[6,4,3,1,5,8,7,2]=>0000000=>0000000 [3,5,7,8,4,1,6,2]=>[6,4,2,1,5,8,3,7]=>0000000=>0000000 [3,6,2,7,4,8,5,1]=>[6,3,7,2,5,1,4,8]=>0000001=>1000000 [3,6,2,7,8,5,4,1]=>[6,3,7,2,1,4,5,8]=>0000001=>1000000 [3,6,7,2,8,5,4,1]=>[6,3,2,7,1,4,5,8]=>0000001=>1000000 [3,8,2,1,4,5,6,7]=>[6,1,7,8,5,4,3,2]=>0000000=>0000000 [4,1,5,7,3,8,6,2]=>[5,8,4,2,6,1,3,7]=>0000000=>0000000 [4,1,5,7,8,2,6,3]=>[5,8,4,2,1,7,3,6]=>0000000=>0000000 [4,1,5,8,3,2,6,7]=>[5,8,4,1,6,7,3,2]=>0000000=>0000000 [4,1,6,7,8,5,2,3]=>[5,8,3,2,1,4,7,6]=>0000000=>0000000 [4,1,7,3,8,5,6,2]=>[5,8,2,6,1,4,3,7]=>0000000=>0000000 [4,1,7,8,3,5,6,2]=>[5,8,2,1,6,4,3,7]=>0000000=>0000000 [4,5,2,7,3,8,6,1]=>[5,4,7,2,6,1,3,8]=>0000001=>1000000 [4,5,7,3,2,8,6,1]=>[5,4,2,6,7,1,3,8]=>0000001=>1000000 [4,5,8,3,2,1,6,7]=>[5,4,1,6,7,8,3,2]=>0000000=>0000000 [4,6,2,3,7,8,5,1]=>[5,3,7,6,2,1,4,8]=>0000001=>1000000 [4,6,2,3,8,5,1,7]=>[5,3,7,6,1,4,8,2]=>0000000=>0000000 [4,6,2,7,3,8,5,1]=>[5,3,7,2,6,1,4,8]=>0000001=>1000000 [4,6,2,8,3,5,1,7]=>[5,3,7,1,6,4,8,2]=>0000000=>0000000 [4,7,8,3,2,5,6,1]=>[5,2,1,6,7,4,3,8]=>0000001=>1000000 [4,8,2,3,1,5,6,7]=>[5,1,7,6,8,4,3,2]=>0000000=>0000000 [5,1,2,6,8,4,3,7]=>[4,8,7,3,1,5,6,2]=>0000000=>0000000 [5,1,2,7,4,8,6,3]=>[4,8,7,2,5,1,3,6]=>0000000=>0000000 [5,6,2,7,4,8,1,3]=>[4,3,7,2,5,1,8,6]=>0000000=>0000000 [5,6,8,3,4,2,1,7]=>[4,3,1,6,5,7,8,2]=>0000000=>0000000 [5,7,8,3,4,2,6,1]=>[4,2,1,6,5,7,3,8]=>0000001=>1000000 [6,1,2,3,7,8,5,4]=>[3,8,7,6,2,1,4,5]=>0000000=>0000000 [6,1,2,3,8,5,4,7]=>[3,8,7,6,1,4,5,2]=>0000000=>0000000 [7,1,2,3,4,8,6,5]=>[2,8,7,6,5,1,3,4]=>0000000=>0000000 [7,1,2,3,8,5,6,4]=>[2,8,7,6,1,4,3,5]=>0000000=>0000000 [2,4,6,1,8,5,7,3]=>[7,5,3,8,1,4,2,6]=>0000000=>0000000 [6,4,1,8,2,3,7,5]=>[3,5,8,1,7,6,2,4]=>0000000=>0000000 [5,8,1,6,2,4,3,7]=>[4,1,8,3,7,5,6,2]=>0000000=>0000000 [1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>0000000=>0000000 [3,5,8,6,1,2,4,7]=>[6,4,1,3,8,7,5,2]=>0000000=>0000000 [3,5,1,8,2,4,7,6]=>[6,4,8,1,7,5,2,3]=>0000000=>0000000 [2,3,5,6,8,1,7,4]=>[7,6,4,3,1,8,2,5]=>0000000=>0000000 [5,6,4,8,2,1,7,3]=>[4,3,5,1,7,8,2,6]=>0000000=>0000000 [3,6,2,8,1,5,7,4]=>[6,3,7,1,8,4,2,5]=>0000000=>0000000 [1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>0000000=>0000000 [7,1,8,6,3,4,5,2]=>[2,8,1,3,6,5,4,7]=>0000000=>0000000 [8,2,5,7,4,6,1,3]=>[1,7,4,2,5,3,8,6]=>1000000=>0000001 [6,7,4,5,2,1,8,3]=>[3,2,5,4,7,8,1,6]=>0000000=>0000000 [5,1,7,8,6,4,3,2]=>[4,8,2,1,3,5,6,7]=>0000000=>0000000 [2,5,7,8,6,3,1,4]=>[7,4,2,1,3,6,8,5]=>0000000=>0000000 [6,8,1,5,3,2,4,7]=>[3,1,8,4,6,7,5,2]=>0000000=>0000000 [7,8,1,6,4,2,3,5]=>[2,1,8,3,5,7,6,4]=>0100000=>0000010 [2,4,8,1,5,6,7,3]=>[7,5,1,8,4,3,2,6]=>0000000=>0000000 [8,3,1,6,5,2,4,7]=>[1,6,8,3,4,7,5,2]=>1000000=>0000001 [5,8,7,4,2,6,1,3]=>[4,1,2,5,7,3,8,6]=>0000000=>0000000 [5,1,8,4,7,6,3,2]=>[4,8,1,5,2,3,6,7]=>0000000=>0000000 [8,2,7,4,5,6,1,3]=>[1,7,2,5,4,3,8,6]=>1000000=>0000001 [8,2,3,6,5,1,7,4]=>[1,7,6,3,4,8,2,5]=>1000000=>0000001 [4,8,6,5,7,3,2,1]=>[5,1,3,4,2,6,7,8]=>0000111=>1110000 [4,8,5,6,7,3,2,1]=>[5,1,4,3,2,6,7,8]=>0000111=>1110000 [2,8,7,6,3,4,5,1]=>[7,1,2,3,6,5,4,8]=>0000001=>1000000 [1,8,7,6,5,2,3,4]=>[8,1,2,3,4,7,6,5]=>0000000=>0000000 [8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>1000001=>1000001 [3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>0000000=>0000000 [3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>0000000=>0000000 [7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>0000000=>0000000 [7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>0000000=>0000000 [5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>0000000=>0000000 [4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>0000000=>0000000 [8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>1000001=>1000001 [5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>0000000=>0000000 [4,1,3,6,8,2,5,7]=>[5,8,6,3,1,7,4,2]=>0000000=>0000000 [5,3,6,2,4,8,1,7]=>[4,6,3,7,5,1,8,2]=>0000000=>0000000 [1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>0000000=>0000000 [4,3,1,6,5,8,2,7]=>[5,6,8,3,4,1,7,2]=>0000000=>0000000 [3,4,6,5,7,1,8,2]=>[6,5,3,4,2,8,1,7]=>0000000=>0000000 [8,2,6,4,1,7,3,5]=>[1,7,3,5,8,2,6,4]=>1000000=>0000001 [7,3,8,4,5,2,1,6]=>[2,6,1,5,4,7,8,3]=>0000000=>0000000 [6,4,7,2,3,5,8,1]=>[3,5,2,7,6,4,1,8]=>0000001=>1000000 [3,4,7,8,6,2,5,1]=>[6,5,2,1,3,7,4,8]=>0000001=>1000000 [7,5,8,2,4,6,1,3]=>[2,4,1,7,5,3,8,6]=>0000000=>0000000 [8,7,3,6,1,5,2,4]=>[1,2,6,3,8,4,7,5]=>1100000=>0000011 [8,3,2,5,7,6,1,4]=>[1,6,7,4,2,3,8,5]=>1000000=>0000001 [5,6,7,3,8,4,2,1]=>[4,3,2,6,1,5,7,8]=>0000011=>1100000 [8,4,1,3,7,2,5,6]=>[1,5,8,6,2,7,4,3]=>1000000=>0000001 [2,8,4,7,1,3,5,6]=>[7,1,5,2,8,6,4,3]=>0000000=>0000000 [3,8,1,5,6,2,7,4]=>[6,1,8,4,3,7,2,5]=>0000000=>0000000 [4,3,5,6,7,1,8,2]=>[5,6,4,3,2,8,1,7]=>0000000=>0000000 [8,2,5,6,1,7,4,3]=>[1,7,4,3,8,2,5,6]=>1000000=>0000001 [7,1,5,2,8,6,4,3]=>[2,8,4,7,1,3,5,6]=>0000000=>0000000 [1,8,6,4,5,2,7,3]=>[8,1,3,5,4,7,2,6]=>0000000=>0000000 [1,8,5,3,6,2,7,4]=>[8,1,4,6,3,7,2,5]=>0000000=>0000000 [6,5,8,7,2,1,3,4]=>[3,4,1,2,7,8,6,5]=>0001000=>0001000 [3,6,2,1,7,5,8,4]=>[6,3,7,8,2,4,1,5]=>0000000=>0000000 [2,5,4,1,8,7,6,3]=>[7,4,5,8,1,2,3,6]=>0000000=>0000000 [4,7,2,6,5,8,1,3]=>[5,2,7,3,4,1,8,6]=>0000000=>0000000 [6,8,1,4,2,7,3,5]=>[3,1,8,5,7,2,6,4]=>0000000=>0000000 [5,2,4,1,6,8,7,3]=>[4,7,5,8,3,1,2,6]=>0000000=>0000000 [1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000=>0000000 [1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>0000000=>0000000 [1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000=>0000000 [1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>0000000=>0000000 [1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000=>0000000 [8,5,7,6,4,3,2,1]=>[1,4,2,3,5,6,7,8]=>1001111=>1111001 [8,4,7,6,5,3,2,1]=>[1,5,2,3,4,6,7,8]=>1000111=>1110001 [8,4,7,5,6,3,2,1]=>[1,5,2,4,3,6,7,8]=>1000111=>1110001 [8,5,7,4,6,3,2,1]=>[1,4,2,5,3,6,7,8]=>1000111=>1110001 [8,7,6,3,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>1110011=>1100111 [8,5,7,3,6,4,2,1]=>[1,4,2,6,3,5,7,8]=>1000011=>1100001 [8,4,7,3,6,5,2,1]=>[1,5,2,6,3,4,7,8]=>1000011=>1100001 [8,1,7,4,6,5,3,2]=>[1,8,2,5,3,4,6,7]=>1000000=>0000001 [8,1,7,3,6,5,4,2]=>[1,8,2,6,3,4,5,7]=>1000000=>0000001 [8,3,7,2,6,5,4,1]=>[1,6,2,7,3,4,5,8]=>1000001=>1000001 [8,5,7,2,6,4,3,1]=>[1,4,2,7,3,5,6,8]=>1000001=>1000001 [8,6,7,2,5,4,3,1]=>[1,3,2,7,4,5,6,8]=>1010001=>1000101 [8,7,6,2,5,4,3,1]=>[1,2,3,7,4,5,6,8]=>1110001=>1000111 [8,4,7,1,6,5,3,2]=>[1,5,2,8,3,4,6,7]=>1000000=>0000001 [8,3,7,1,6,5,4,2]=>[1,6,2,8,3,4,5,7]=>1000000=>0000001 [8,2,7,1,6,5,4,3]=>[1,7,2,8,3,4,5,6]=>1000000=>0000001 [8,1,7,2,6,5,4,3]=>[1,8,2,7,3,4,5,6]=>1000000=>0000001 [8,1,7,2,6,4,5,3]=>[1,8,2,7,3,5,4,6]=>1000000=>0000001 [8,3,7,1,6,4,5,2]=>[1,6,2,8,3,5,4,7]=>1000000=>0000001 [8,4,7,1,6,3,5,2]=>[1,5,2,8,3,6,4,7]=>1000000=>0000001 [8,5,7,1,6,3,4,2]=>[1,4,2,8,3,6,5,7]=>1000000=>0000001 [8,6,7,1,5,3,4,2]=>[1,3,2,8,4,6,5,7]=>1010000=>0000101 [8,6,7,2,5,3,4,1]=>[1,3,2,7,4,6,5,8]=>1010001=>1000101 [8,5,7,2,6,3,4,1]=>[1,4,2,7,3,6,5,8]=>1000001=>1000001 [8,4,7,2,6,3,5,1]=>[1,5,2,7,3,6,4,8]=>1000001=>1000001 [8,3,7,2,6,4,5,1]=>[1,6,2,7,3,5,4,8]=>1000001=>1000001 [8,2,7,3,6,4,5,1]=>[1,7,2,6,3,5,4,8]=>1000001=>1000001 [8,1,7,3,6,4,5,2]=>[1,8,2,6,3,5,4,7]=>1000000=>0000001 [8,1,7,4,6,3,5,2]=>[1,8,2,5,3,6,4,7]=>1000000=>0000001 [8,2,7,4,6,3,5,1]=>[1,7,2,5,3,6,4,8]=>1000001=>1000001 [8,3,7,4,6,2,5,1]=>[1,6,2,5,3,7,4,8]=>1000001=>1000001 [8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>1000001=>1000001 [8,6,7,3,5,2,4,1]=>[1,3,2,6,4,7,5,8]=>1010001=>1000101 [8,5,7,4,6,2,3,1]=>[1,4,2,5,3,7,6,8]=>1000101=>1010001 [8,4,7,5,6,2,3,1]=>[1,5,2,4,3,7,6,8]=>1000101=>1010001 [8,3,7,5,6,2,4,1]=>[1,6,2,4,3,7,5,8]=>1000001=>1000001 [8,2,7,5,6,3,4,1]=>[1,7,2,4,3,6,5,8]=>1000001=>1000001 [8,1,7,5,6,3,4,2]=>[1,8,2,4,3,6,5,7]=>1000000=>0000001 [8,3,7,6,5,2,4,1]=>[1,6,2,3,4,7,5,8]=>1000001=>1000001 [8,4,7,6,5,2,3,1]=>[1,5,2,3,4,7,6,8]=>1000101=>1010001 [8,5,7,6,4,2,3,1]=>[1,4,2,3,5,7,6,8]=>1001101=>1011001 [8,7,6,5,4,1,3,2]=>[1,2,3,4,5,8,6,7]=>1111100=>0011111 [8,6,7,5,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>1011100=>0011101 [8,5,7,6,4,1,3,2]=>[1,4,2,3,5,8,6,7]=>1001100=>0011001 [8,3,7,6,5,1,4,2]=>[1,6,2,3,4,8,5,7]=>1000000=>0000001 [8,1,7,5,6,2,4,3]=>[1,8,2,4,3,7,5,6]=>1000000=>0000001 [8,3,7,5,6,1,4,2]=>[1,6,2,4,3,8,5,7]=>1000000=>0000001 [8,4,7,5,6,1,3,2]=>[1,5,2,4,3,8,6,7]=>1000100=>0010001 [8,6,7,4,5,1,3,2]=>[1,3,2,5,4,8,6,7]=>1010100=>0010101 [8,7,6,4,5,1,3,2]=>[1,2,3,5,4,8,6,7]=>1110100=>0010111 [8,6,7,3,5,1,4,2]=>[1,3,2,6,4,8,5,7]=>1010000=>0000101 [8,4,7,3,6,1,5,2]=>[1,5,2,6,3,8,4,7]=>1000000=>0000001 [8,2,7,4,6,1,5,3]=>[1,7,2,5,3,8,4,6]=>1000000=>0000001 [8,1,7,4,6,2,5,3]=>[1,8,2,5,3,7,4,6]=>1000000=>0000001 [8,1,7,3,6,2,5,4]=>[1,8,2,6,3,7,4,5]=>1000000=>0000001 [8,2,7,3,6,1,5,4]=>[1,7,2,6,3,8,4,5]=>1000000=>0000001 [8,3,7,2,6,1,5,4]=>[1,6,2,7,3,8,4,5]=>1000000=>0000001 [8,4,7,2,6,1,5,3]=>[1,5,2,7,3,8,4,6]=>1000000=>0000001 [8,5,7,2,6,1,4,3]=>[1,4,2,7,3,8,5,6]=>1000000=>0000001 [8,6,7,2,5,1,4,3]=>[1,3,2,7,4,8,5,6]=>1010000=>0000101 [8,7,6,2,5,1,4,3]=>[1,2,3,7,4,8,5,6]=>1110000=>0000111 [8,7,6,1,5,2,4,3]=>[1,2,3,8,4,7,5,6]=>1110000=>0000111 [8,6,7,1,5,2,4,3]=>[1,3,2,8,4,7,5,6]=>1010000=>0000101 [8,5,7,1,6,2,4,3]=>[1,4,2,8,3,7,5,6]=>1000000=>0000001 [8,4,7,1,6,2,5,3]=>[1,5,2,8,3,7,4,6]=>1000000=>0000001 [8,3,7,1,6,2,5,4]=>[1,6,2,8,3,7,4,5]=>1000000=>0000001 [8,2,7,1,6,3,5,4]=>[1,7,2,8,3,6,4,5]=>1000000=>0000001 [4,6,7,3,8,5,2,1]=>[5,3,2,6,1,4,7,8]=>0000011=>1100000 [6,7,8,9,10,5,4,3,2,1]=>[5,4,3,2,1,6,7,8,9,10]=>000011111=>111110000 [5,7,8,9,4,10,6,3,2,1]=>[6,4,3,2,7,1,5,8,9,10]=>000000111=>111000000 [4,6,8,3,9,5,10,7,2,1]=>[7,5,3,8,2,6,1,4,9,10]=>000000011=>110000000 [3,5,2,7,4,9,6,10,8,1]=>[8,6,9,4,7,2,5,1,3,10]=>000000001=>100000000 [1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000=>0000000 [1,5,2,3,8,4,7,6]=>[8,4,7,6,1,5,2,3]=>0000000=>0000000 [1,6,8,2,5,3,7,4]=>[8,3,1,7,4,6,2,5]=>0000000=>0000000 [1,3,5,2,8,4,7,6]=>[8,6,4,7,1,5,2,3]=>0000000=>0000000 [5,7,2,6,3,8,1,4]=>[4,2,7,3,6,1,8,5]=>0000000=>0000000 [8,4,6,2,5,7,3,1]=>[1,5,3,7,4,2,6,8]=>1000001=>1000001 [8,3,6,4,7,2,5,1]=>[1,6,3,5,2,7,4,8]=>1000001=>1000001 [3,8,1,4,7,2,5,6]=>[6,1,8,5,2,7,4,3]=>0000000=>0000000 [4,7,1,3,2,8,6,5]=>[5,2,8,6,7,1,3,4]=>0000000=>0000000 [8,2,6,7,5,4,3,1]=>[1,7,3,2,4,5,6,8]=>1000001=>1000001 [3,8,7,1,6,4,5,2]=>[6,1,2,8,3,5,4,7]=>0000000=>0000000 [3,6,8,2,7,4,1,5]=>[6,3,1,7,2,5,8,4]=>0000000=>0000000 [1,5,2,8,7,4,6,3]=>[8,4,7,1,2,5,3,6]=>0000000=>0000000 [4,3,2,1,5,8,6,7]=>[5,6,7,8,4,1,3,2]=>0000000=>0000000 [6,5,8,7,1,4,2,3]=>[3,4,1,2,8,5,7,6]=>0001000=>0001000 [4,1,7,3,8,5,2,6]=>[5,8,2,6,1,4,7,3]=>0000000=>0000000 [2,5,3,4,8,6,1,7]=>[7,4,6,5,1,3,8,2]=>0000000=>0000000 [2,4,8,3,6,1,7,5]=>[7,5,1,6,3,8,2,4]=>0000000=>0000000 [7,2,8,4,1,6,3,5]=>[2,7,1,5,8,3,6,4]=>0000000=>0000000 [5,3,6,1,4,7,8,2]=>[4,6,3,8,5,2,1,7]=>0000000=>0000000 [6,7,1,3,4,5,8,2]=>[3,2,8,6,5,4,1,7]=>0000000=>0000000 [6,1,4,2,8,3,5,7]=>[3,8,5,7,1,6,4,2]=>0000000=>0000000 [7,4,1,5,8,2,3,6]=>[2,5,8,4,1,7,6,3]=>0000000=>0000000 [2,7,6,3,4,5,8,1]=>[7,2,3,6,5,4,1,8]=>0000001=>1000000 [5,3,8,6,1,2,4,7]=>[4,6,1,3,8,7,5,2]=>0000000=>0000000 [4,5,8,7,2,6,3,1]=>[5,4,1,2,7,3,6,8]=>0000001=>1000000 [5,1,7,2,4,3,8,6]=>[4,8,2,7,5,6,1,3]=>0000000=>0000000 [3,7,5,8,2,6,1,4]=>[6,2,4,1,7,3,8,5]=>0000000=>0000000 [7,1,3,5,8,2,6,4]=>[2,8,6,4,1,7,3,5]=>0000000=>0000000 [3,1,7,2,8,5,4,6]=>[6,8,2,7,1,4,5,3]=>0000000=>0000000 [3,6,1,4,7,2,8,5]=>[6,3,8,5,2,7,1,4]=>0000000=>0000000 [1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>0000000=>0000000 [2,1,8,4,5,7,3,6]=>[7,8,1,5,4,2,6,3]=>0000000=>0000000 [1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>0000000=>0000000 [3,2,1,6,4,8,5,7]=>[6,7,8,3,5,1,4,2]=>0000000=>0000000 [2,1,8,5,4,3,6,7]=>[7,8,1,4,5,6,3,2]=>0000000=>0000000 [7,4,8,6,2,3,1,5]=>[2,5,1,3,7,6,8,4]=>0000000=>0000000 [7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>0000000=>0000000 [8,4,7,5,2,3,6,1]=>[1,5,2,4,7,6,3,8]=>1000001=>1000001 [7,5,2,8,4,6,1,3]=>[2,4,7,1,5,3,8,6]=>0000000=>0000000 [6,7,5,1,2,8,3,4]=>[3,2,4,8,7,1,6,5]=>0000000=>0000000 [7,6,2,4,5,8,3,1]=>[2,3,7,5,4,1,6,8]=>0000001=>1000000 [2,6,3,8,4,7,5,1]=>[7,3,6,1,5,2,4,8]=>0000001=>1000000 [1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>0000000=>0000000 [1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>0000000=>0000000 [1,6,7,5,2,8,3,4]=>[8,3,2,4,7,1,6,5]=>0000000=>0000000 [7,5,1,2,8,4,6,3]=>[2,4,8,7,1,5,3,6]=>0000000=>0000000 [5,4,8,3,6,2,7,1]=>[4,5,1,6,3,7,2,8]=>0000001=>1000000 [5,7,3,8,2,4,6,1]=>[4,2,6,1,7,5,3,8]=>0000001=>1000000 [5,7,3,6,4,8,2,1]=>[4,2,6,3,5,1,7,8]=>0000011=>1100000 [4,1,8,5,3,2,7,6]=>[5,8,1,4,6,7,2,3]=>0000000=>0000000 [3,6,8,7,1,2,5,4]=>[6,3,1,2,8,7,4,5]=>0000000=>0000000 [3,8,5,7,1,4,2,6]=>[6,1,4,2,8,5,7,3]=>0000000=>0000000 [4,7,2,5,1,3,8,6]=>[5,2,7,4,8,6,1,3]=>0000000=>0000000 [5,1,7,4,8,6,3,2]=>[4,8,2,5,1,3,6,7]=>0000000=>0000000 [3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]=>0000000=>0000000 [5,2,8,4,7,3,1,6]=>[4,7,1,5,2,6,8,3]=>0000000=>0000000 [6,3,2,1,4,8,7,5]=>[3,6,7,8,5,1,2,4]=>0000000=>0000000 [1,8,5,7,3,4,6,2]=>[8,1,4,2,6,5,3,7]=>0000000=>0000000 [6,4,8,5,7,1,2,3]=>[3,5,1,4,2,8,7,6]=>0000100=>0010000 [4,6,3,7,5,8,1,2]=>[5,3,6,2,4,1,8,7]=>0000010=>0100000 [1,5,7,4,8,6,3,2]=>[8,4,2,5,1,3,6,7]=>0000000=>0000000 [4,3,8,2,1,6,5,7]=>[5,6,1,7,8,3,4,2]=>0000000=>0000000 [8,2,1,7,5,6,4,3]=>[1,7,8,2,4,3,5,6]=>1000000=>0000001 [8,1,3,6,5,7,4,2]=>[1,8,6,3,4,2,5,7]=>1000000=>0000001 [7,3,8,1,4,2,6,5]=>[2,6,1,8,5,7,3,4]=>0000000=>0000000 [1,8,4,5,3,2,6,7]=>[8,1,5,4,6,7,3,2]=>0000000=>0000000 [7,8,5,4,3,1,6,2]=>[2,1,4,5,6,8,3,7]=>0100000=>0000010 [6,8,7,1,4,2,5,3]=>[3,1,2,8,5,7,4,6]=>0010000=>0000100 [3,8,7,4,2,6,1,5]=>[6,1,2,5,7,3,8,4]=>0000000=>0000000 [3,7,8,1,2,6,5,4]=>[6,2,1,8,7,3,4,5]=>0000000=>0000000 [3,5,6,2,7,1,4,8]=>[6,4,3,7,2,8,5,1]=>0000000=>0000000 [3,7,1,6,8,2,4,5]=>[6,2,8,3,1,7,5,4]=>0000000=>0000000 [8,5,6,1,4,2,3,7]=>[1,4,3,8,5,7,6,2]=>1000000=>0000001 [8,6,5,4,7,1,3,2]=>[1,3,4,5,2,8,6,7]=>1000100=>0010001 [1,8,6,5,7,3,4,2]=>[8,1,3,4,2,6,5,7]=>0000000=>0000000 [7,3,5,2,1,8,4,6]=>[2,6,4,7,8,1,5,3]=>0000000=>0000000 [7,4,1,6,5,8,3,2]=>[2,5,8,3,4,1,6,7]=>0000000=>0000000 [6,4,2,8,7,5,1,3]=>[3,5,7,1,2,4,8,6]=>0000000=>0000000 [4,2,1,5,8,7,3,6]=>[5,7,8,4,1,2,6,3]=>0000000=>0000000 [3,5,4,6,1,8,2,7]=>[6,4,5,3,8,1,7,2]=>0000000=>0000000 [6,4,5,7,2,8,1,3]=>[3,5,4,2,7,1,8,6]=>0000000=>0000000 [3,7,4,5,6,8,1,2]=>[6,2,5,4,3,1,8,7]=>0000010=>0100000 [7,6,4,5,2,8,1,3]=>[2,3,5,4,7,1,8,6]=>0000000=>0000000 [7,4,2,1,8,3,6,5]=>[2,5,7,8,1,6,3,4]=>0000000=>0000000 [8,6,1,7,4,5,2,3]=>[1,3,8,2,5,4,7,6]=>1000000=>0000001 [8,1,3,7,2,6,5,4]=>[1,8,6,2,7,3,4,5]=>1000000=>0000001 [7,3,8,4,5,2,6,1]=>[2,6,1,5,4,7,3,8]=>0000001=>1000000 [7,2,8,5,3,4,6,1]=>[2,7,1,4,6,5,3,8]=>0000001=>1000000 [6,1,8,4,3,2,5,7]=>[3,8,1,5,6,7,4,2]=>0000000=>0000000 [1,7,8,4,3,5,6,2]=>[8,2,1,5,6,4,3,7]=>0000000=>0000000 [3,1,6,8,4,5,7,2]=>[6,8,3,1,5,4,2,7]=>0000000=>0000000 [1,4,5,8,3,6,7,2]=>[8,5,4,1,6,3,2,7]=>0000000=>0000000 [6,2,7,1,8,4,5,3]=>[3,7,2,8,1,5,4,6]=>0000000=>0000000 [3,7,2,1,8,4,5,6]=>[6,2,7,8,1,5,4,3]=>0000000=>0000000 [3,1,5,8,4,2,6,7]=>[6,8,4,1,5,7,3,2]=>0000000=>0000000 [2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>0000000=>0000000 [4,2,7,1,8,3,6,5]=>[5,7,2,8,1,6,3,4]=>0000000=>0000000 [4,3,1,6,8,2,7,5]=>[5,6,8,3,1,7,2,4]=>0000000=>0000000 [3,5,1,6,8,2,7,4]=>[6,4,8,3,1,7,2,5]=>0000000=>0000000 [5,7,4,8,3,2,1,6]=>[4,2,5,1,6,7,8,3]=>0000000=>0000000 [5,2,8,7,3,4,1,6]=>[4,7,1,2,6,5,8,3]=>0000000=>0000000 [7,3,8,2,6,4,1,5]=>[2,6,1,7,3,5,8,4]=>0000000=>0000000 [8,4,7,5,3,2,1,6]=>[1,5,2,4,6,7,8,3]=>1000000=>0000001 [5,8,7,4,3,6,2,1]=>[4,1,2,5,6,3,7,8]=>0000011=>1100000 [5,8,6,4,3,7,1,2]=>[4,1,3,5,6,2,8,7]=>0000010=>0100000 [2,5,6,8,4,3,7,1]=>[7,4,3,1,5,6,2,8]=>0000001=>1000000 [5,3,8,1,7,6,4,2]=>[4,6,1,8,2,3,5,7]=>0000000=>0000000 [5,4,8,7,1,6,3,2]=>[4,5,1,2,8,3,6,7]=>0000000=>0000000 [4,8,5,7,6,1,3,2]=>[5,1,4,2,3,8,6,7]=>0000100=>0010000 [4,8,6,7,5,3,1,2]=>[5,1,3,2,4,6,8,7]=>0000110=>0110000 [6,5,4,8,2,1,7,3]=>[3,4,5,1,7,8,2,6]=>0000000=>0000000 [5,8,4,7,2,6,3,1]=>[4,1,5,2,7,3,6,8]=>0000001=>1000000 [5,8,3,2,7,6,4,1]=>[4,1,6,7,2,3,5,8]=>0000001=>1000000 [6,5,3,2,8,1,7,4]=>[3,4,6,7,1,8,2,5]=>0000000=>0000000 [5,2,1,4,3,6,7,8]=>[4,7,8,5,6,3,2,1]=>0000000=>0000000 [4,6,3,2,5,1,7,8]=>[5,3,6,7,4,8,2,1]=>0000000=>0000000 [4,3,6,1,5,2,7,8]=>[5,6,3,8,4,7,2,1]=>0000000=>0000000 [3,4,6,5,8,1,7,2]=>[6,5,3,4,1,8,2,7]=>0000000=>0000000 [2,1,5,3,8,4,7,6]=>[7,8,4,6,1,5,2,3]=>0000000=>0000000 [3,1,8,2,5,4,7,6]=>[6,8,1,7,4,5,2,3]=>0000000=>0000000 [8,1,3,2,6,4,7,5]=>[1,8,6,7,3,5,2,4]=>1000000=>0000001 [3,1,8,2,6,4,7,5]=>[6,8,1,7,3,5,2,4]=>0000000=>0000000 [2,1,8,3,6,4,7,5]=>[7,8,1,6,3,5,2,4]=>0000000=>0000000 [2,1,6,3,8,4,7,5]=>[7,8,3,6,1,5,2,4]=>0000000=>0000000 [2,1,7,3,5,4,8,6]=>[7,8,2,6,4,5,1,3]=>0000000=>0000000 [2,1,7,3,6,4,8,5]=>[7,8,2,6,3,5,1,4]=>0000000=>0000000 [2,1,7,3,8,4,6,5]=>[7,8,2,6,1,5,3,4]=>0000000=>0000000 [8,1,4,2,7,3,6,5]=>[1,8,5,7,2,6,3,4]=>1000000=>0000001 [4,1,8,2,7,3,6,5]=>[5,8,1,7,2,6,3,4]=>0000000=>0000000 [4,1,7,2,8,3,6,5]=>[5,8,2,7,1,6,3,4]=>0000000=>0000000 [3,1,7,2,8,4,6,5]=>[6,8,2,7,1,5,3,4]=>0000000=>0000000 [3,1,6,2,5,4,8,7]=>[6,8,3,7,4,5,1,2]=>0000000=>0000000 [7,1,3,2,5,4,8,6]=>[2,8,6,7,4,5,1,3]=>0000000=>0000000 [7,1,3,2,6,4,8,5]=>[2,8,6,7,3,5,1,4]=>0000000=>0000000 [7,1,3,2,8,4,6,5]=>[2,8,6,7,1,5,3,4]=>0000000=>0000000 [7,1,8,2,4,3,6,5]=>[2,8,1,7,5,6,3,4]=>0000000=>0000000 [8,1,7,2,5,3,6,4]=>[1,8,2,7,4,6,3,5]=>1000000=>0000001 [7,1,5,2,8,3,6,4]=>[2,8,4,7,1,6,3,5]=>0000000=>0000000 [6,1,4,2,5,3,8,7]=>[3,8,5,7,4,6,1,2]=>0000000=>0000000 [4,1,6,2,5,3,8,7]=>[5,8,3,7,4,6,1,2]=>0000000=>0000000 [4,1,7,2,5,3,8,6]=>[5,8,2,7,4,6,1,3]=>0000000=>0000000 [4,1,7,2,6,3,8,5]=>[5,8,2,7,3,6,1,4]=>0000000=>0000000 [5,1,7,2,6,3,8,4]=>[4,8,2,7,3,6,1,5]=>0000000=>0000000 [5,1,7,2,8,3,6,4]=>[4,8,2,7,1,6,3,5]=>0000000=>0000000 [5,1,8,2,7,3,6,4]=>[4,8,1,7,2,6,3,5]=>0000000=>0000000 [8,1,5,2,7,3,6,4]=>[1,8,4,7,2,6,3,5]=>1000000=>0000001 [8,1,5,2,6,3,7,4]=>[1,8,4,7,3,6,2,5]=>1000000=>0000001 [5,1,8,2,6,3,7,4]=>[4,8,1,7,3,6,2,5]=>0000000=>0000000 [5,1,6,2,8,3,7,4]=>[4,8,3,7,1,6,2,5]=>0000000=>0000000 [3,1,6,2,8,4,7,5]=>[6,8,3,7,1,5,2,4]=>0000000=>0000000 [4,1,8,2,6,3,7,5]=>[5,8,1,7,3,6,2,4]=>0000000=>0000000 [8,1,4,2,6,3,7,5]=>[1,8,5,7,3,6,2,4]=>1000000=>0000001 [8,1,4,2,5,3,7,6]=>[1,8,5,7,4,6,2,3]=>1000000=>0000001 [4,1,8,2,5,3,7,6]=>[5,8,1,7,4,6,2,3]=>0000000=>0000000 [4,1,5,2,8,3,7,6]=>[5,8,4,7,1,6,2,3]=>0000000=>0000000 [3,1,5,2,8,4,7,6]=>[6,8,4,7,1,5,2,3]=>0000000=>0000000 [3,1,4,2,8,5,7,6]=>[6,8,5,7,1,4,2,3]=>0000000=>0000000 [4,1,3,2,7,5,8,6]=>[5,8,6,7,2,4,1,3]=>0000000=>0000000 [5,1,4,2,8,3,7,6]=>[4,8,5,7,1,6,2,3]=>0000000=>0000000 [5,1,8,2,4,3,7,6]=>[4,8,1,7,5,6,2,3]=>0000000=>0000000 [8,1,6,2,4,3,7,5]=>[1,8,3,7,5,6,2,4]=>1000000=>0000001 [6,1,8,2,4,3,7,5]=>[3,8,1,7,5,6,2,4]=>0000000=>0000000 [6,1,3,2,8,4,7,5]=>[3,8,6,7,1,5,2,4]=>0000000=>0000000 [6,1,3,2,7,4,8,5]=>[3,8,6,7,2,5,1,4]=>0000000=>0000000 [5,1,3,2,7,4,8,6]=>[4,8,6,7,2,5,1,3]=>0000000=>0000000 [5,1,3,2,6,4,8,7]=>[4,8,6,7,3,5,1,2]=>0000000=>0000000 [5,1,4,2,6,3,8,7]=>[4,8,5,7,3,6,1,2]=>0000000=>0000000 [6,1,4,2,7,3,8,5]=>[3,8,5,7,2,6,1,4]=>0000000=>0000000 [6,1,5,2,7,3,8,4]=>[3,8,4,7,2,6,1,5]=>0000000=>0000000 [6,1,8,2,5,3,7,4]=>[3,8,1,7,4,6,2,5]=>0000000=>0000000 [8,1,6,2,5,3,7,4]=>[1,8,3,7,4,6,2,5]=>1000000=>0000001 [8,1,6,2,7,3,5,4]=>[1,8,3,7,2,6,4,5]=>1000000=>0000001 [6,1,8,2,7,3,5,4]=>[3,8,1,7,2,6,4,5]=>0000000=>0000000 [6,1,7,2,8,3,5,4]=>[3,8,2,7,1,6,4,5]=>0000000=>0000000 [6,1,7,2,5,3,8,4]=>[3,8,2,7,4,6,1,5]=>0000000=>0000000 [6,1,7,2,4,3,8,5]=>[3,8,2,7,5,6,1,4]=>0000000=>0000000 [5,1,6,2,4,3,8,7]=>[4,8,3,7,5,6,1,2]=>0000000=>0000000 [7,1,5,2,4,3,8,6]=>[2,8,4,7,5,6,1,3]=>0000000=>0000000 [7,1,6,2,4,3,8,5]=>[2,8,3,7,5,6,1,4]=>0000000=>0000000 [7,1,6,2,5,3,8,4]=>[2,8,3,7,4,6,1,5]=>0000000=>0000000 [7,1,6,2,8,3,5,4]=>[2,8,3,7,1,6,4,5]=>0000000=>0000000 [7,1,8,2,6,3,5,4]=>[2,8,1,7,3,6,4,5]=>0000000=>0000000 [7,8,1,3,2,4,6,5]=>[2,1,8,6,7,5,3,4]=>0100000=>0000010 [3,2,5,7,1,8,4,6]=>[6,7,4,2,8,1,5,3]=>0000000=>0000000 [3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>0000000=>0000000 [5,3,4,7,8,6,1,2]=>[4,6,5,2,1,3,8,7]=>0000010=>0100000 [4,1,3,2,6,8,7,5]=>[5,8,6,7,3,1,2,4]=>0000000=>0000000 [2,5,4,6,8,1,7,3]=>[7,4,5,3,1,8,2,6]=>0000000=>0000000 [4,2,5,7,6,1,8,3]=>[5,7,4,2,3,8,1,6]=>0000000=>0000000 [4,2,1,3,7,6,8,5]=>[5,7,8,6,2,3,1,4]=>0000000=>0000000 [2,4,3,1,8,5,7,6]=>[7,5,6,8,1,4,2,3]=>0000000=>0000000 [3,2,4,1,8,6,5,7]=>[6,7,5,8,1,3,4,2]=>0000000=>0000000 [7,6,4,3,2,1,8,5]=>[2,3,5,6,7,8,1,4]=>0000000=>0000000 [7,6,8,3,2,1,5,4]=>[2,3,1,6,7,8,4,5]=>0010000=>0000100 [7,8,4,3,2,1,6,5]=>[2,1,5,6,7,8,3,4]=>0100000=>0000010 [4,7,6,1,8,2,5,3]=>[5,2,3,8,1,7,4,6]=>0000000=>0000000 [4,8,6,1,7,5,2,3]=>[5,1,3,8,2,4,7,6]=>0000000=>0000000 [4,8,7,2,6,5,1,3]=>[5,1,2,7,3,4,8,6]=>0000000=>0000000 [4,7,8,2,6,1,5,3]=>[5,2,1,7,3,8,4,6]=>0000000=>0000000 [8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]=>1000001=>1000001 [8,4,7,3,6,5,1,2]=>[1,5,2,6,3,4,8,7]=>1000010=>0100001 [7,8,4,3,6,2,5,1]=>[2,1,5,6,3,7,4,8]=>0100001=>1000010 [6,7,4,2,8,3,1,5]=>[3,2,5,7,1,6,8,4]=>0000000=>0000000 [7,3,2,5,1,6,4,8]=>[2,6,7,4,8,3,5,1]=>0000000=>0000000 [7,4,1,3,5,2,6,8]=>[2,5,8,6,4,7,3,1]=>0000000=>0000000 [3,1,7,2,4,6,8,5]=>[6,8,2,7,5,3,1,4]=>0000000=>0000000 [3,6,7,4,1,5,8,2]=>[6,3,2,5,8,4,1,7]=>0000000=>0000000 [4,3,2,7,1,5,8,6]=>[5,6,7,2,8,4,1,3]=>0000000=>0000000 [3,1,2,8,6,5,4,7]=>[6,8,7,1,3,4,5,2]=>0000000=>0000000 [1,8,2,7,4,3,6,5]=>[8,1,7,2,5,6,3,4]=>0000000=>0000000 [4,1,6,3,5,8,2,7]=>[5,8,3,6,4,1,7,2]=>0000000=>0000000 [3,1,4,6,5,8,7,2]=>[6,8,5,3,4,1,2,7]=>0000000=>0000000 [3,7,5,4,6,8,2,1]=>[6,2,4,5,3,1,7,8]=>0000011=>1100000 [5,3,2,1,7,6,8,4]=>[4,6,7,8,2,3,1,5]=>0000000=>0000000 [5,6,7,3,2,8,1,4]=>[4,3,2,6,7,1,8,5]=>0000000=>0000000 [3,4,7,8,1,2,6,5]=>[6,5,2,1,8,7,3,4]=>0000000=>0000000 [7,4,5,8,2,1,3,6]=>[2,5,4,1,7,8,6,3]=>0000000=>0000000 [5,7,8,3,1,4,6,2]=>[4,2,1,6,8,5,3,7]=>0000000=>0000000 [4,2,8,6,1,5,3,7]=>[5,7,1,3,8,4,6,2]=>0000000=>0000000 [2,3,4,8,1,6,5,7]=>[7,6,5,1,8,3,4,2]=>0000000=>0000000 [3,6,1,7,5,8,2,4]=>[6,3,8,2,4,1,7,5]=>0000000=>0000000 [7,3,1,6,8,2,4,5]=>[2,6,8,3,1,7,5,4]=>0000000=>0000000 [1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000=>0000000 [1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000=>0000000 [8,2,4,1,7,5,6,3]=>[1,7,5,8,2,4,3,6]=>1000000=>0000001 [3,8,4,7,5,1,6,2]=>[6,1,5,2,4,8,3,7]=>0000000=>0000000 [8,4,3,6,1,7,5,2]=>[1,5,6,3,8,2,4,7]=>1000000=>0000001 [2,1,8,6,7,3,5,4]=>[7,8,1,3,2,6,4,5]=>0000000=>0000000 [7,3,2,5,6,1,4,8]=>[2,6,7,4,3,8,5,1]=>0000000=>0000000 [1,5,2,8,6,3,7,4]=>[8,4,7,1,3,6,2,5]=>0000000=>0000000 [5,8,6,3,1,7,4,2]=>[4,1,3,6,8,2,5,7]=>0000000=>0000000 [7,8,1,4,2,5,3,6]=>[2,1,8,5,7,4,6,3]=>0100000=>0000010 [4,5,6,2,7,1,3,8]=>[5,4,3,7,2,8,6,1]=>0000000=>0000000 [5,6,2,7,1,3,4,8]=>[4,3,7,2,8,6,5,1]=>0000000=>0000000 [6,7,3,8,4,1,5,2]=>[3,2,6,1,5,8,4,7]=>0000000=>0000000 [2,7,1,8,5,6,3,4]=>[7,2,8,1,4,3,6,5]=>0000000=>0000000 [2,1,7,8,6,3,4,5]=>[7,8,2,1,3,6,5,4]=>0000000=>0000000 [3,8,4,5,6,1,7,2]=>[6,1,5,4,3,8,2,7]=>0000000=>0000000 [7,8,6,2,1,3,5,4]=>[2,1,3,7,8,6,4,5]=>0110000=>0000110 [3,7,6,1,2,8,4,5]=>[6,2,3,8,7,1,5,4]=>0000000=>0000000 [5,2,6,3,4,1,8,7]=>[4,7,3,6,5,8,1,2]=>0000000=>0000000 [4,1,2,6,5,3,8,7]=>[5,8,7,3,4,6,1,2]=>0000000=>0000000 [8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>1000001=>1000001 [3,8,5,1,7,2,4,6]=>[6,1,4,8,2,7,5,3]=>0000000=>0000000 [2,1,7,4,8,5,6,3]=>[7,8,2,5,1,4,3,6]=>0000000=>0000000 [8,3,7,4,6,1,2,5]=>[1,6,2,5,3,8,7,4]=>1000000=>0000001 [2,1,6,3,4,8,7,5]=>[7,8,3,6,5,1,2,4]=>0000000=>0000000 [7,6,2,5,3,8,1,4]=>[2,3,7,4,6,1,8,5]=>0000000=>0000000 [8,1,4,2,5,6,7,3]=>[1,8,5,7,4,3,2,6]=>1000000=>0000001 [6,1,4,3,8,5,2,7]=>[3,8,5,6,1,4,7,2]=>0000000=>0000000 [4,2,3,1,7,8,6,5]=>[5,7,6,8,2,1,3,4]=>0000000=>0000000 [4,6,2,8,3,7,5,1]=>[5,3,7,1,6,2,4,8]=>0000001=>1000000 [2,8,5,3,6,7,1,4]=>[7,1,4,6,3,2,8,5]=>0000000=>0000000 [5,8,4,1,6,3,7,2]=>[4,1,5,8,3,6,2,7]=>0000000=>0000000 [5,8,7,3,6,1,4,2]=>[4,1,2,6,3,8,5,7]=>0000000=>0000000 [5,3,8,7,6,1,4,2]=>[4,6,1,2,3,8,5,7]=>0000000=>0000000 [7,5,8,4,6,1,3,2]=>[2,4,1,5,3,8,6,7]=>0000100=>0010000 [6,5,8,4,7,1,3,2]=>[3,4,1,5,2,8,6,7]=>0000100=>0010000 [2,5,1,3,8,4,7,6]=>[7,4,8,6,1,5,2,3]=>0000000=>0000000 [2,8,1,5,4,7,3,6]=>[7,1,8,4,5,2,6,3]=>0000000=>0000000 [8,3,2,6,1,4,7,5]=>[1,6,7,3,8,5,2,4]=>1000000=>0000001 [2,8,1,6,4,3,7,5]=>[7,1,8,3,5,6,2,4]=>0000000=>0000000 [2,5,7,1,3,8,6,4]=>[7,4,2,8,6,1,3,5]=>0000000=>0000000 [8,3,2,7,1,6,5,4]=>[1,6,7,2,8,3,4,5]=>1000000=>0000001 [4,1,7,2,8,6,5,3]=>[5,8,2,7,1,3,4,6]=>0000000=>0000000 [7,4,5,8,6,2,1,3]=>[2,5,4,1,3,7,8,6]=>0000100=>0010000 [6,8,4,5,2,1,7,3]=>[3,1,5,4,7,8,2,6]=>0000000=>0000000 [4,6,8,5,1,7,3,2]=>[5,3,1,4,8,2,6,7]=>0000000=>0000000 [4,7,5,1,3,8,6,2]=>[5,2,4,8,6,1,3,7]=>0000000=>0000000 [5,1,8,7,6,4,3,2]=>[4,8,1,2,3,5,6,7]=>0000000=>0000000 [5,1,8,6,3,2,7,4]=>[4,8,1,3,6,7,2,5]=>0000000=>0000000 [5,1,6,2,8,7,4,3]=>[4,8,3,7,1,2,5,6]=>0000000=>0000000 [4,5,6,1,8,7,2,3]=>[5,4,3,8,1,2,7,6]=>0000000=>0000000 [3,5,6,8,7,1,4,2]=>[6,4,3,1,2,8,5,7]=>0000000=>0000000 [3,6,1,7,4,8,2,5]=>[6,3,8,2,5,1,7,4]=>0000000=>0000000 [8,4,2,6,3,1,5,7]=>[1,5,7,3,6,8,4,2]=>1000000=>0000001 [8,4,2,5,7,3,1,6]=>[1,5,7,4,2,6,8,3]=>1000000=>0000001 [4,1,8,5,7,3,6,2]=>[5,8,1,4,2,6,3,7]=>0000000=>0000000 [3,4,6,8,5,7,1,2]=>[6,5,3,1,4,2,8,7]=>0000010=>0100000 [4,6,8,3,5,7,2,1]=>[5,3,1,6,4,2,7,8]=>0000011=>1100000 [4,7,3,5,8,2,6,1]=>[5,2,6,4,1,7,3,8]=>0000001=>1000000 [5,4,8,7,3,6,1,2]=>[4,5,1,2,6,3,8,7]=>0000010=>0100000 [6,4,3,8,7,1,2,5]=>[3,5,6,1,2,8,7,4]=>0000000=>0000000 [6,3,7,2,4,8,1,5]=>[3,6,2,7,5,1,8,4]=>0000000=>0000000 [5,6,8,3,7,2,1,4]=>[4,3,1,6,2,7,8,5]=>0000000=>0000000 [5,6,8,4,2,7,3,1]=>[4,3,1,5,7,2,6,8]=>0000001=>1000000 [6,5,2,7,1,3,8,4]=>[3,4,7,2,8,6,1,5]=>0000000=>0000000 [8,6,5,4,2,1,7,3]=>[1,3,4,5,7,8,2,6]=>1000000=>0000001 [6,5,4,1,7,2,8,3]=>[3,4,5,8,2,7,1,6]=>0000000=>0000000 [6,8,5,7,4,3,2,1]=>[3,1,4,2,5,6,7,8]=>0001111=>1111000 [7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]=>0000000=>0000000 [7,4,2,6,3,5,1,8]=>[2,5,7,3,6,4,8,1]=>0000000=>0000000 [3,4,7,5,6,2,1,8]=>[6,5,2,4,3,7,8,1]=>0000000=>0000000 [8,1,3,4,5,2,6,7]=>[1,8,6,5,4,7,3,2]=>1000000=>0000001 [3,6,8,4,1,7,5,2]=>[6,3,1,5,8,2,4,7]=>0000000=>0000000 [8,7,2,3,6,1,4,5]=>[1,2,7,6,3,8,5,4]=>1100000=>0000011 [3,2,8,1,5,4,6,7]=>[6,7,1,8,4,5,3,2]=>0000000=>0000000 [8,1,2,3,6,5,7,4]=>[1,8,7,6,3,4,2,5]=>1000000=>0000001 [6,1,8,4,3,7,2,5]=>[3,8,1,5,6,2,7,4]=>0000000=>0000000 [1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>0000000=>0000000 [3,5,2,1,8,7,6,4]=>[6,4,7,8,1,2,3,5]=>0000000=>0000000 [5,4,2,1,7,8,6,3]=>[4,5,7,8,2,1,3,6]=>0000000=>0000000 [7,5,4,6,1,2,8,3]=>[2,4,5,3,8,7,1,6]=>0000000=>0000000 [8,6,2,7,1,4,5,3]=>[1,3,7,2,8,5,4,6]=>1000000=>0000001 [1,8,6,7,2,3,4,5]=>[8,1,3,2,7,6,5,4]=>0000000=>0000000 [1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>0000000=>0000000 [7,6,3,2,1,8,5,4]=>[2,3,6,7,8,1,4,5]=>0000000=>0000000 [8,6,3,7,4,1,2,5]=>[1,3,6,2,5,8,7,4]=>1000000=>0000001 [5,2,3,4,7,1,8,6]=>[4,7,6,5,2,8,1,3]=>0000000=>0000000 [3,5,4,2,7,1,8,6]=>[6,4,5,7,2,8,1,3]=>0000000=>0000000 [8,6,3,1,4,5,7,2]=>[1,3,6,8,5,4,2,7]=>1000000=>0000001 [5,8,3,1,2,4,7,6]=>[4,1,6,8,7,5,2,3]=>0000000=>0000000 [8,1,3,2,4,5,6,7]=>[1,8,6,7,5,4,3,2]=>1000000=>0000001 [8,4,1,7,2,3,6,5]=>[1,5,8,2,7,6,3,4]=>1000000=>0000001 [3,2,8,1,6,5,7,4]=>[6,7,1,8,3,4,2,5]=>0000000=>0000000 [3,2,6,1,5,7,4,8]=>[6,7,3,8,4,2,5,1]=>0000000=>0000000 [4,1,3,2,5,7,6,8]=>[5,8,6,7,4,2,3,1]=>0000000=>0000000 [6,8,2,4,5,1,3,7]=>[3,1,7,5,4,8,6,2]=>0000000=>0000000 [4,6,7,3,1,5,2,8]=>[5,3,2,6,8,4,7,1]=>0000000=>0000000 [5,8,4,1,7,2,6,3]=>[4,1,5,8,2,7,3,6]=>0000000=>0000000 [6,8,3,1,4,5,7,2]=>[3,1,6,8,5,4,2,7]=>0000000=>0000000 [2,4,6,3,5,8,1,7]=>[7,5,3,6,4,1,8,2]=>0000000=>0000000 [2,3,1,7,6,4,8,5]=>[7,6,8,2,3,5,1,4]=>0000000=>0000000 [5,1,4,8,6,2,7,3]=>[4,8,5,1,3,7,2,6]=>0000000=>0000000 [3,1,8,2,7,6,4,5]=>[6,8,1,7,2,3,5,4]=>0000000=>0000000 [7,2,4,8,1,5,3,6]=>[2,7,5,1,8,4,6,3]=>0000000=>0000000 [7,3,2,8,6,1,4,5]=>[2,6,7,1,3,8,5,4]=>0000000=>0000000 [1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000=>0000000 [3,5,1,7,2,8,6,4]=>[6,4,8,2,7,1,3,5]=>0000000=>0000000 [4,6,3,1,7,8,5,2]=>[5,3,6,8,2,1,4,7]=>0000000=>0000000 [6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>0000000=>0000000 [7,8,2,6,5,1,4,3]=>[2,1,7,3,4,8,5,6]=>0100000=>0000010 [6,2,8,7,1,5,4,3]=>[3,7,1,2,8,4,5,6]=>0000000=>0000000 [3,2,8,1,7,6,5,4]=>[6,7,1,8,2,3,4,5]=>0000000=>0000000 [2,8,7,1,6,5,4,3]=>[7,1,2,8,3,4,5,6]=>0000000=>0000000 [3,8,2,1,7,6,5,4]=>[6,1,7,8,2,3,4,5]=>0000000=>0000000 [3,8,2,7,1,6,5,4]=>[6,1,7,2,8,3,4,5]=>0000000=>0000000 [4,8,7,2,6,1,5,3]=>[5,1,2,7,3,8,4,6]=>0000000=>0000000 [3,8,7,1,6,5,4,2]=>[6,1,2,8,3,4,5,7]=>0000000=>0000000 [5,4,1,8,7,6,3,2]=>[4,5,8,1,2,3,6,7]=>0000000=>0000000 [6,4,8,1,7,5,3,2]=>[3,5,1,8,2,4,6,7]=>0000000=>0000000 [6,3,8,1,7,5,4,2]=>[3,6,1,8,2,4,5,7]=>0000000=>0000000 [4,3,1,8,7,6,5,2]=>[5,6,8,1,2,3,4,7]=>0000000=>0000000 [4,2,1,8,7,6,5,3]=>[5,7,8,1,2,3,4,6]=>0000000=>0000000 [7,8,2,1,6,5,4,3]=>[2,1,7,8,3,4,5,6]=>0100000=>0000010 [5,4,3,1,8,7,6,2]=>[4,5,6,8,1,2,3,7]=>0000000=>0000000 [7,3,2,1,8,6,5,4]=>[2,6,7,8,1,3,4,5]=>0000000=>0000000 [6,3,2,1,8,7,5,4]=>[3,6,7,8,1,2,4,5]=>0000000=>0000000 [8,6,1,4,2,3,5,7]=>[1,3,8,5,7,6,4,2]=>1000000=>0000001 [4,6,2,3,8,1,5,7]=>[5,3,7,6,1,8,4,2]=>0000000=>0000000 [8,4,3,6,2,1,5,7]=>[1,5,6,3,7,8,4,2]=>1000000=>0000001 [6,2,3,8,4,1,5,7]=>[3,7,6,1,5,8,4,2]=>0000000=>0000000 [6,4,2,3,8,1,5,7]=>[3,5,7,6,1,8,4,2]=>0000000=>0000000 [2,6,4,3,8,1,5,7]=>[7,3,5,6,1,8,4,2]=>0000000=>0000000 [2,8,4,3,6,1,5,7]=>[7,1,5,6,3,8,4,2]=>0000000=>0000000 [2,6,3,8,4,1,5,7]=>[7,3,6,1,5,8,4,2]=>0000000=>0000000 [8,3,6,4,2,1,5,7]=>[1,6,3,5,7,8,4,2]=>1000000=>0000001 [2,4,6,3,8,1,5,7]=>[7,5,3,6,1,8,4,2]=>0000000=>0000000 [8,3,6,2,4,1,5,7]=>[1,6,3,7,5,8,4,2]=>1000000=>0000001 [8,3,6,2,1,4,5,7]=>[1,6,3,7,8,5,4,2]=>1000000=>0000001 [2,1,8,3,6,4,5,7]=>[7,8,1,6,3,5,4,2]=>0000000=>0000000 [8,2,1,3,6,4,5,7]=>[1,7,8,6,3,5,4,2]=>1000000=>0000001 [6,3,8,2,1,4,5,7]=>[3,6,1,7,8,5,4,2]=>0000000=>0000000 [6,2,4,3,8,1,5,7]=>[3,7,5,6,1,8,4,2]=>0000000=>0000000 [3,4,6,8,7,5,1,2]=>[6,5,3,1,2,4,8,7]=>0000010=>0100000 [5,4,6,3,8,7,1,2]=>[4,5,3,6,1,2,8,7]=>0000010=>0100000 [1,8,5,2,6,3,7,4]=>[8,1,4,7,3,6,2,5]=>0000000=>0000000 [3,6,5,2,4,1,8,7]=>[6,3,4,7,5,8,1,2]=>0000000=>0000000 [5,2,8,6,4,1,3,7]=>[4,7,1,3,5,8,6,2]=>0000000=>0000000 [5,1,6,2,8,7,3,4]=>[4,8,3,7,1,2,6,5]=>0000000=>0000000 [1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>0000000=>0000000 [1,8,2,5,4,7,6,3]=>[8,1,7,4,5,2,3,6]=>0000000=>0000000 [4,6,2,3,7,8,1,5]=>[5,3,7,6,2,1,8,4]=>0000000=>0000000 [7,8,3,2,4,1,6,5]=>[2,1,6,7,5,8,3,4]=>0100000=>0000010 [7,8,4,2,6,3,1,5]=>[2,1,5,7,3,6,8,4]=>0100000=>0000010 [7,5,2,8,3,4,1,6]=>[2,4,7,1,6,5,8,3]=>0000000=>0000000 [6,4,3,5,2,8,1,7]=>[3,5,6,4,7,1,8,2]=>0000000=>0000000 [6,5,8,4,2,3,1,7]=>[3,4,1,5,7,6,8,2]=>0000000=>0000000 [2,4,1,3,8,5,7,6]=>[7,5,8,6,1,4,2,3]=>0000000=>0000000 [8,1,4,3,6,5,7,2]=>[1,8,5,6,3,4,2,7]=>1000000=>0000001 [8,4,1,3,6,5,7,2]=>[1,5,8,6,3,4,2,7]=>1000000=>0000001 [8,2,1,3,6,5,7,4]=>[1,7,8,6,3,4,2,5]=>1000000=>0000001 [8,2,1,4,3,5,7,6]=>[1,7,8,5,6,4,2,3]=>1000000=>0000001 [8,1,4,6,3,5,7,2]=>[1,8,5,3,6,4,2,7]=>1000000=>0000001 [6,1,4,8,3,5,7,2]=>[3,8,5,1,6,4,2,7]=>0000000=>0000000 [2,6,8,1,3,5,7,4]=>[7,3,1,8,6,4,2,5]=>0000000=>0000000 [1,4,6,8,3,5,7,2]=>[8,5,3,1,6,4,2,7]=>0000000=>0000000 [2,6,1,3,8,5,7,4]=>[7,3,8,6,1,4,2,5]=>0000000=>0000000 [2,6,1,8,3,5,7,4]=>[7,3,8,1,6,4,2,5]=>0000000=>0000000 [2,4,1,8,3,5,7,6]=>[7,5,8,1,6,4,2,3]=>0000000=>0000000 [2,1,6,3,8,5,7,4]=>[7,8,3,6,1,4,2,5]=>0000000=>0000000 [2,1,3,6,8,5,7,4]=>[7,8,6,3,1,4,2,5]=>0000000=>0000000 [2,1,8,6,3,5,7,4]=>[7,8,1,3,6,4,2,5]=>0000000=>0000000 [4,1,8,3,6,5,7,2]=>[5,8,1,6,3,4,2,7]=>0000000=>0000000 [1,4,8,6,3,5,7,2]=>[8,5,1,3,6,4,2,7]=>0000000=>0000000 [6,1,8,4,3,5,7,2]=>[3,8,1,5,6,4,2,7]=>0000000=>0000000 [1,8,6,4,3,5,7,2]=>[8,1,3,5,6,4,2,7]=>0000000=>0000000 [8,6,1,4,3,5,7,2]=>[1,3,8,5,6,4,2,7]=>1000000=>0000001 [8,6,4,1,3,5,7,2]=>[1,3,5,8,6,4,2,7]=>1000000=>0000001 [8,6,2,1,3,5,7,4]=>[1,3,7,8,6,4,2,5]=>1000000=>0000001 [8,4,2,1,3,5,7,6]=>[1,5,7,8,6,4,2,3]=>1000000=>0000001 [8,7,6,3,5,2,1,4]=>[1,2,3,6,4,7,8,5]=>1110000=>0000111 [8,7,4,6,3,2,1,5]=>[1,2,5,3,6,7,8,4]=>1100000=>0000011 [8,7,6,5,1,4,3,2]=>[1,2,3,4,8,5,6,7]=>1111000=>0001111 [8,7,4,3,6,2,1,5]=>[1,2,5,6,3,7,8,4]=>1100000=>0000011 [8,7,6,2,5,4,1,3]=>[1,2,3,7,4,5,8,6]=>1110000=>0000111 [8,5,4,7,3,2,1,6]=>[1,4,5,2,6,7,8,3]=>1000000=>0000001 [8,7,3,6,5,2,1,4]=>[1,2,6,3,4,7,8,5]=>1100000=>0000011 [8,4,7,6,3,2,1,5]=>[1,5,2,3,6,7,8,4]=>1000000=>0000001 [4,5,2,7,3,1,8,6]=>[5,4,7,2,6,8,1,3]=>0000000=>0000000 [4,8,2,6,3,5,7,1]=>[5,1,7,3,6,4,2,8]=>0000001=>1000000 [4,6,2,1,7,8,5,3]=>[5,3,7,8,2,1,4,6]=>0000000=>0000000 [2,3,8,7,4,1,6,5]=>[7,6,1,2,5,8,3,4]=>0000000=>0000000 [7,8,2,1,5,6,4,3]=>[2,1,7,8,4,3,5,6]=>0100000=>0000010 [2,1,8,7,4,5,3,6]=>[7,8,1,2,5,4,6,3]=>0000000=>0000000 [1,5,8,6,2,3,7,4]=>[8,4,1,3,7,6,2,5]=>0000000=>0000000 [5,2,7,1,8,6,3,4]=>[4,7,2,8,1,3,6,5]=>0000000=>0000000 [1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>0000000=>0000000 [2,6,1,3,8,7,4,5]=>[7,3,8,6,1,2,5,4]=>0000000=>0000000 [6,5,2,8,1,7,3,4]=>[3,4,7,1,8,2,6,5]=>0000000=>0000000 [2,8,5,6,1,7,3,4]=>[7,1,4,3,8,2,6,5]=>0000000=>0000000 [5,4,2,8,6,1,7,3]=>[4,5,7,1,3,8,2,6]=>0000000=>0000000 [3,8,7,4,1,6,5,2]=>[6,1,2,5,8,3,4,7]=>0000000=>0000000 [2,8,6,5,1,7,4,3]=>[7,1,3,4,8,2,5,6]=>0000000=>0000000 [2,8,6,4,1,7,5,3]=>[7,1,3,5,8,2,4,6]=>0000000=>0000000 [7,4,8,6,2,1,5,3]=>[2,5,1,3,7,8,4,6]=>0000000=>0000000 [7,3,8,5,2,1,6,4]=>[2,6,1,4,7,8,3,5]=>0000000=>0000000 [7,3,8,4,2,1,6,5]=>[2,6,1,5,7,8,3,4]=>0000000=>0000000 [5,4,2,3,8,1,6,7]=>[4,5,7,6,1,8,3,2]=>0000000=>0000000 [4,7,8,6,1,2,5,3]=>[5,2,1,3,8,7,4,6]=>0000000=>0000000 [7,3,4,8,2,1,5,6]=>[2,6,5,1,7,8,4,3]=>0000000=>0000000 [7,5,8,6,2,1,4,3]=>[2,4,1,3,7,8,5,6]=>0001000=>0001000 [2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>0000000=>0000000 [6,4,8,7,3,1,5,2]=>[3,5,1,2,6,8,4,7]=>0000000=>0000000 [8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>1000001=>1000001 [3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]=>0000000=>0000000 [2,6,8,5,1,3,7,4]=>[7,3,1,4,8,6,2,5]=>0000000=>0000000 [5,6,8,7,1,3,4,2]=>[4,3,1,2,8,6,5,7]=>0001000=>0001000 [8,7,4,1,6,2,5,3]=>[1,2,5,8,3,7,4,6]=>1100000=>0000011 [6,3,7,4,5,8,2,1]=>[3,6,2,5,4,1,7,8]=>0000011=>1100000 [3,5,7,4,6,8,2,1]=>[6,4,2,5,3,1,7,8]=>0000011=>1100000 [6,8,4,1,7,2,5,3]=>[3,1,5,8,2,7,4,6]=>0000000=>0000000 [5,4,1,7,8,3,2,6]=>[4,5,8,2,1,6,7,3]=>0000000=>0000000 [6,8,3,1,4,7,2,5]=>[3,1,6,8,5,2,7,4]=>0000000=>0000000 [6,4,7,2,8,5,1,3]=>[3,5,2,7,1,4,8,6]=>0000000=>0000000 [5,8,1,4,7,3,2,6]=>[4,1,8,5,2,6,7,3]=>0000000=>0000000 [8,7,1,4,5,3,2,6]=>[1,2,8,5,4,6,7,3]=>1100000=>0000011 [8,7,4,2,6,5,1,3]=>[1,2,5,7,3,4,8,6]=>1100000=>0000011 [6,8,4,3,7,5,2,1]=>[3,1,5,6,2,4,7,8]=>0000011=>1100000 [6,4,7,3,8,5,2,1]=>[3,5,2,6,1,4,7,8]=>0000011=>1100000 [8,1,6,3,4,5,2,7]=>[1,8,3,6,5,4,7,2]=>1000000=>0000001 [4,3,7,2,5,6,8,1]=>[5,6,2,7,4,3,1,8]=>0000001=>1000000 [2,6,3,1,4,5,8,7]=>[7,3,6,8,5,4,1,2]=>0000000=>0000000 [3,7,1,4,2,6,8,5]=>[6,2,8,5,7,3,1,4]=>0000000=>0000000 [3,7,1,5,6,2,8,4]=>[6,2,8,4,3,7,1,5]=>0000000=>0000000 [4,7,3,2,5,6,1,8]=>[5,2,6,7,4,3,8,1]=>0000000=>0000000 [6,4,7,2,3,8,1,5]=>[3,5,2,7,6,1,8,4]=>0000000=>0000000 [5,7,1,4,8,6,2,3]=>[4,2,8,5,1,3,7,6]=>0000000=>0000000 [5,7,1,3,8,2,6,4]=>[4,2,8,6,1,7,3,5]=>0000000=>0000000 [6,7,1,8,3,2,5,4]=>[3,2,8,1,6,7,4,5]=>0000000=>0000000 [8,7,6,1,4,5,2,3]=>[1,2,3,8,5,4,7,6]=>1110000=>0000111 [8,7,6,1,3,2,5,4]=>[1,2,3,8,6,7,4,5]=>1110000=>0000111 [8,7,3,5,1,2,6,4]=>[1,2,6,4,8,7,3,5]=>1100000=>0000011 [8,7,4,5,1,6,2,3]=>[1,2,5,4,8,3,7,6]=>1100000=>0000011 [8,5,6,3,1,2,7,4]=>[1,4,3,6,8,7,2,5]=>1000000=>0000001 [6,7,8,4,1,5,3,2]=>[3,2,1,5,8,4,6,7]=>0010000=>0000100 [7,1,6,8,4,5,3,2]=>[2,8,3,1,5,4,6,7]=>0000000=>0000000 [7,5,1,6,4,2,3,8]=>[2,4,8,3,5,7,6,1]=>0000000=>0000000 [8,1,5,7,4,6,3,2]=>[1,8,4,2,5,3,6,7]=>1000000=>0000001 [1,8,4,6,7,5,3,2]=>[8,1,5,3,2,4,6,7]=>0000000=>0000000 [6,1,8,4,7,5,3,2]=>[3,8,1,5,2,4,6,7]=>0000000=>0000000 [4,5,8,6,1,7,3,2]=>[5,4,1,3,8,2,6,7]=>0000000=>0000000 [8,4,2,6,1,5,7,3]=>[1,5,7,3,8,4,2,6]=>1000000=>0000001 [4,8,5,2,1,6,7,3]=>[5,1,4,7,8,3,2,6]=>0000000=>0000000 [8,5,6,1,2,4,3,7]=>[1,4,3,8,7,5,6,2]=>1000000=>0000001 [8,3,1,4,6,2,5,7]=>[1,6,8,5,3,7,4,2]=>1000000=>0000001 [3,5,1,8,2,6,4,7]=>[6,4,8,1,7,3,5,2]=>0000000=>0000000 [3,5,1,2,8,4,7,6]=>[6,4,8,7,1,5,2,3]=>0000000=>0000000 [2,8,3,1,5,6,7,4]=>[7,1,6,8,4,3,2,5]=>0000000=>0000000 [8,3,2,7,1,5,6,4]=>[1,6,7,2,8,4,3,5]=>1000000=>0000001 [3,6,2,8,5,1,7,4]=>[6,3,7,1,4,8,2,5]=>0000000=>0000000 [6,2,1,8,4,7,5,3]=>[3,7,8,1,5,2,4,6]=>0000000=>0000000 [2,8,7,1,4,6,5,3]=>[7,1,2,8,5,3,4,6]=>0000000=>0000000 [8,2,7,1,5,4,6,3]=>[1,7,2,8,4,5,3,6]=>1000000=>0000001 [2,7,3,6,5,8,1,4]=>[7,2,6,3,4,1,8,5]=>0000000=>0000000 [7,2,8,1,6,4,5,3]=>[2,7,1,8,3,5,4,6]=>0000000=>0000000 [7,8,2,6,4,1,5,3]=>[2,1,7,3,5,8,4,6]=>0100000=>0000010 [8,7,2,4,1,6,5,3]=>[1,2,7,5,8,3,4,6]=>1100000=>0000011 [1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>0000000=>0000000 [1,8,7,2,3,6,5,4]=>[8,1,2,7,6,3,4,5]=>0000000=>0000000 [1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000=>0000000 [1,7,3,8,2,6,4,5]=>[8,2,6,1,7,3,5,4]=>0000000=>0000000 [2,1,7,3,6,8,4,5]=>[7,8,2,6,3,1,5,4]=>0000000=>0000000 [7,1,5,8,3,2,4,6]=>[2,8,4,1,6,7,5,3]=>0000000=>0000000 [1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000=>0000000 [1,8,3,7,2,5,4,6]=>[8,1,6,2,7,4,5,3]=>0000000=>0000000 [4,7,8,1,3,2,5,6]=>[5,2,1,8,6,7,4,3]=>0000000=>0000000 [2,1,8,3,5,7,4,6]=>[7,8,1,6,4,2,5,3]=>0000000=>0000000 [1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000=>0000000 [8,3,5,2,4,1,7,6]=>[1,6,4,7,5,8,2,3]=>1000000=>0000001 [8,6,2,5,3,1,7,4]=>[1,3,7,4,6,8,2,5]=>1000000=>0000001 [7,6,2,5,4,3,1,8]=>[2,3,7,4,5,6,8,1]=>0000000=>0000000 [4,7,5,2,6,3,1,8]=>[5,2,4,7,3,6,8,1]=>0000000=>0000000 [5,6,7,2,4,3,1,8]=>[4,3,2,7,5,6,8,1]=>0000000=>0000000 [1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>0000000=>0000000 [8,7,2,3,1,6,5,4]=>[1,2,7,6,8,3,4,5]=>1100000=>0000011 [8,1,3,6,2,4,7,5]=>[1,8,6,3,7,5,2,4]=>1000000=>0000001 [2,1,8,3,7,5,4,6]=>[7,8,1,6,2,4,5,3]=>0000000=>0000000 [7,1,8,2,5,6,3,4]=>[2,8,1,7,4,3,6,5]=>0000000=>0000000 [6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>0000000=>0000000 [3,2,8,5,1,6,7,4]=>[6,7,1,4,8,3,2,5]=>0000000=>0000000 [8,2,7,1,4,6,5,3]=>[1,7,2,8,5,3,4,6]=>1000000=>0000001 [2,3,8,1,5,6,7,4]=>[7,6,1,8,4,3,2,5]=>0000000=>0000000 [3,8,7,1,5,6,4,2]=>[6,1,2,8,4,3,5,7]=>0000000=>0000000 [4,8,7,5,1,6,3,2]=>[5,1,2,4,8,3,6,7]=>0000000=>0000000 [5,8,6,7,1,4,3,2]=>[4,1,3,2,8,5,6,7]=>0001000=>0001000 [6,7,8,5,1,4,3,2]=>[3,2,1,4,8,5,6,7]=>0011000=>0001100 [5,6,3,8,4,1,7,2]=>[4,3,6,1,5,8,2,7]=>0000000=>0000000 [7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>0000000=>0000000 [8,3,7,4,1,6,5,2]=>[1,6,2,5,8,3,4,7]=>1000000=>0000001 [3,5,6,8,4,1,7,2]=>[6,4,3,1,5,8,2,7]=>0000000=>0000000 [5,6,4,7,8,1,3,2]=>[4,3,5,2,1,8,6,7]=>0000100=>0010000 [6,2,3,1,5,4,7,8]=>[3,7,6,8,4,5,2,1]=>0000000=>0000000 [8,2,3,1,4,5,7,6]=>[1,7,6,8,5,4,2,3]=>1000000=>0000001 [7,5,1,3,2,6,4,8]=>[2,4,8,6,7,3,5,1]=>0000000=>0000000 [3,6,4,1,5,2,7,8]=>[6,3,5,8,4,7,2,1]=>0000000=>0000000 [6,7,1,4,2,5,3,8]=>[3,2,8,5,7,4,6,1]=>0000000=>0000000 [2,7,1,3,5,6,4,8]=>[7,2,8,6,4,3,5,1]=>0000000=>0000000 [6,8,1,4,2,3,7,5]=>[3,1,8,5,7,6,2,4]=>0000000=>0000000 [1,8,2,7,5,4,6,3]=>[8,1,7,2,4,5,3,6]=>0000000=>0000000 [1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000=>0000000 [1,8,5,3,4,7,2,6]=>[8,1,4,6,5,2,7,3]=>0000000=>0000000 [7,2,8,4,3,5,6,1]=>[2,7,1,5,6,4,3,8]=>0000001=>1000000 [4,5,2,3,6,1,8,7]=>[5,4,7,6,3,8,1,2]=>0000000=>0000000 [5,6,2,7,3,1,8,4]=>[4,3,7,2,6,8,1,5]=>0000000=>0000000 [1,6,3,7,5,8,2,4]=>[8,3,6,2,4,1,7,5]=>0000000=>0000000 [6,2,4,8,5,1,7,3]=>[3,7,5,1,4,8,2,6]=>0000000=>0000000 [6,2,5,4,8,3,7,1]=>[3,7,4,5,1,6,2,8]=>0000001=>1000000 [5,2,3,4,8,1,6,7]=>[4,7,6,5,1,8,3,2]=>0000000=>0000000 [6,5,3,4,8,7,1,2]=>[3,4,6,5,1,2,8,7]=>0000010=>0100000 [7,6,3,8,5,4,1,2]=>[2,3,6,1,4,5,8,7]=>0000010=>0100000 [5,4,8,1,2,7,3,6]=>[4,5,1,8,7,2,6,3]=>0000000=>0000000 [4,5,3,7,1,6,2,8]=>[5,4,6,2,8,3,7,1]=>0000000=>0000000 [6,2,4,8,5,1,3,7]=>[3,7,5,1,4,8,6,2]=>0000000=>0000000 [7,6,3,8,5,1,2,4]=>[2,3,6,1,4,8,7,5]=>0000000=>0000000 [7,2,8,6,1,3,4,5]=>[2,7,1,3,8,6,5,4]=>0000000=>0000000 [7,2,8,6,1,5,3,4]=>[2,7,1,3,8,4,6,5]=>0000000=>0000000 [3,2,4,7,8,1,5,6]=>[6,7,5,2,1,8,4,3]=>0000000=>0000000 [1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>0000000=>0000000 [1,3,7,2,8,6,4,5]=>[8,6,2,7,1,3,5,4]=>0000000=>0000000 [4,5,2,7,1,8,6,3]=>[5,4,7,2,8,1,3,6]=>0000000=>0000000 [4,3,6,5,7,8,1,2]=>[5,6,3,4,2,1,8,7]=>0000010=>0100000 [5,2,6,4,7,8,3,1]=>[4,7,3,5,2,1,6,8]=>0000001=>1000000 [3,2,5,6,8,1,7,4]=>[6,7,4,3,1,8,2,5]=>0000000=>0000000 [4,2,3,6,8,1,5,7]=>[5,7,6,3,1,8,4,2]=>0000000=>0000000 [2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>0000000=>0000000 [8,5,2,1,4,7,6,3]=>[1,4,7,8,5,2,3,6]=>1000000=>0000001 [3,2,1,8,7,5,6,4]=>[6,7,8,1,2,4,3,5]=>0000000=>0000000 [3,1,6,2,5,8,4,7]=>[6,8,3,7,4,1,5,2]=>0000000=>0000000 [6,5,1,3,4,8,2,7]=>[3,4,8,6,5,1,7,2]=>0000000=>0000000 [2,3,4,8,1,7,6,5]=>[7,6,5,1,8,2,3,4]=>0000000=>0000000 [6,2,7,8,4,5,1,3]=>[3,7,2,1,5,4,8,6]=>0000000=>0000000 [8,4,1,2,7,6,3,5]=>[1,5,8,7,2,3,6,4]=>1000000=>0000001 [5,2,4,1,7,8,6,3]=>[4,7,5,8,2,1,3,6]=>0000000=>0000000 [5,3,7,1,6,2,8,4]=>[4,6,2,8,3,7,1,5]=>0000000=>0000000 [7,5,1,2,6,8,4,3]=>[2,4,8,7,3,1,5,6]=>0000000=>0000000 [1,2,5,3,8,7,6,4]=>[8,7,4,6,1,2,3,5]=>0000000=>0000000 [2,8,1,6,5,7,4,3]=>[7,1,8,3,4,2,5,6]=>0000000=>0000000 [2,8,1,5,6,3,7,4]=>[7,1,8,4,3,6,2,5]=>0000000=>0000000 [5,2,3,7,6,1,8,4]=>[4,7,6,2,3,8,1,5]=>0000000=>0000000 [2,3,6,8,7,1,4,5]=>[7,6,3,1,2,8,5,4]=>0000000=>0000000 [3,6,4,2,8,5,7,1]=>[6,3,5,7,1,4,2,8]=>0000001=>1000000 [2,4,8,7,1,3,5,6]=>[7,5,1,2,8,6,4,3]=>0000000=>0000000 [8,6,1,2,4,3,5,7]=>[1,3,8,7,5,6,4,2]=>1000000=>0000001 [8,6,2,5,4,1,3,7]=>[1,3,7,4,5,8,6,2]=>1000000=>0000001 [8,3,5,7,6,2,1,4]=>[1,6,4,2,3,7,8,5]=>1000000=>0000001 [8,2,1,6,3,4,5,7]=>[1,7,8,3,6,5,4,2]=>1000000=>0000001 [8,3,2,4,6,1,5,7]=>[1,6,7,5,3,8,4,2]=>1000000=>0000001 [5,7,1,8,3,4,6,2]=>[4,2,8,1,6,5,3,7]=>0000000=>0000000 [6,7,8,2,1,4,5,3]=>[3,2,1,7,8,5,4,6]=>0010000=>0000100 [5,3,8,4,7,2,6,1]=>[4,6,1,5,2,7,3,8]=>0000001=>1000000 [4,8,1,2,7,3,6,5]=>[5,1,8,7,2,6,3,4]=>0000000=>0000000 [6,3,5,8,7,2,4,1]=>[3,6,4,1,2,7,5,8]=>0000001=>1000000 [5,2,8,7,1,3,4,6]=>[4,7,1,2,8,6,5,3]=>0000000=>0000000 [5,2,7,4,8,1,6,3]=>[4,7,2,5,1,8,3,6]=>0000000=>0000000 [8,1,7,4,5,2,6,3]=>[1,8,2,5,4,7,3,6]=>1000000=>0000001 [4,2,8,3,1,5,6,7]=>[5,7,1,6,8,4,3,2]=>0000000=>0000000 [2,5,7,3,8,4,6,1]=>[7,4,2,6,1,5,3,8]=>0000001=>1000000 [8,3,6,7,1,5,4,2]=>[1,6,3,2,8,4,5,7]=>1000000=>0000001 [3,4,1,2,8,5,7,6]=>[6,5,8,7,1,4,2,3]=>0000000=>0000000 [4,3,7,2,5,8,1,6]=>[5,6,2,7,4,1,8,3]=>0000000=>0000000 [5,3,6,8,2,1,4,7]=>[4,6,3,1,7,8,5,2]=>0000000=>0000000 [3,2,6,8,5,4,1,7]=>[6,7,3,1,4,5,8,2]=>0000000=>0000000 [7,4,2,5,8,3,1,6]=>[2,5,7,4,1,6,8,3]=>0000000=>0000000 [4,8,2,6,5,3,1,7]=>[5,1,7,3,4,6,8,2]=>0000000=>0000000 [5,2,1,6,8,3,4,7]=>[4,7,8,3,1,6,5,2]=>0000000=>0000000 [3,1,8,6,5,4,2,7]=>[6,8,1,3,4,5,7,2]=>0000000=>0000000 [5,6,8,1,4,3,2,7]=>[4,3,1,8,5,6,7,2]=>0000000=>0000000 [6,4,8,3,7,2,5,1]=>[3,5,1,6,2,7,4,8]=>0000001=>1000000 [7,8,4,1,5,3,2,6]=>[2,1,5,8,4,6,7,3]=>0100000=>0000010 [4,7,8,3,1,6,5,2]=>[5,2,1,6,8,3,4,7]=>0000000=>0000000 [8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]=>1100011=>1100011 [4,6,1,3,8,7,5,2]=>[5,3,8,6,1,2,4,7]=>0000000=>0000000 [3,6,1,2,7,5,8,4]=>[6,3,8,7,2,4,1,5]=>0000000=>0000000 [3,7,6,2,5,8,1,4]=>[6,2,3,7,4,1,8,5]=>0000000=>0000000 [8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]=>1000001=>1000001 [2,7,3,1,5,6,8,4]=>[7,2,6,8,4,3,1,5]=>0000000=>0000000 [5,3,7,2,8,1,4,6]=>[4,6,2,7,1,8,5,3]=>0000000=>0000000 [4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>0000000=>0000000 [6,3,2,8,7,5,1,4]=>[3,6,7,1,2,4,8,5]=>0000000=>0000000 [7,8,2,4,6,1,5,3]=>[2,1,7,5,3,8,4,6]=>0100000=>0000010 [6,4,8,7,2,5,1,3]=>[3,5,1,2,7,4,8,6]=>0000000=>0000000 [5,6,1,2,8,7,4,3]=>[4,3,8,7,1,2,5,6]=>0000000=>0000000 [6,7,8,1,2,5,4,3]=>[3,2,1,8,7,4,5,6]=>0010000=>0000100 [6,8,7,5,1,4,3,2]=>[3,1,2,4,8,5,6,7]=>0011000=>0001100 [8,6,4,3,2,1,7,5]=>[1,3,5,6,7,8,2,4]=>1000000=>0000001 [6,5,4,3,8,2,7,1]=>[3,4,5,6,1,7,2,8]=>0000001=>1000000 [7,5,4,3,2,8,6,1]=>[2,4,5,6,7,1,3,8]=>0000001=>1000000 [8,4,3,2,1,7,6,5]=>[1,5,6,7,8,2,3,4]=>1000000=>0000001 [3,7,5,8,1,4,6,2]=>[6,2,4,1,8,5,3,7]=>0000000=>0000000 [5,7,2,4,6,8,1,3]=>[4,2,7,5,3,1,8,6]=>0000000=>0000000 [3,1,2,4,8,7,6,5]=>[6,8,7,5,1,2,3,4]=>0000000=>0000000 [6,5,8,7,3,1,2,4]=>[3,4,1,2,6,8,7,5]=>0001000=>0001000 [5,6,7,8,1,4,2,3]=>[4,3,2,1,8,5,7,6]=>0001000=>0001000 [4,6,1,3,7,2,5,8]=>[5,3,8,6,2,7,4,1]=>0000000=>0000000 [7,3,8,4,1,2,6,5]=>[2,6,1,5,8,7,3,4]=>0000000=>0000000 [6,8,3,2,7,1,5,4]=>[3,1,6,7,2,8,4,5]=>0000000=>0000000 [6,7,3,1,4,2,8,5]=>[3,2,6,8,5,7,1,4]=>0000000=>0000000 [5,8,6,7,1,2,3,4]=>[4,1,3,2,8,7,6,5]=>0001000=>0001000 [5,3,2,7,1,6,8,4]=>[4,6,7,2,8,3,1,5]=>0000000=>0000000 [7,4,6,2,3,5,8,1]=>[2,5,3,7,6,4,1,8]=>0000001=>1000000 [5,1,7,2,4,6,8,3]=>[4,8,2,7,5,3,1,6]=>0000000=>0000000 [4,7,5,6,1,3,8,2]=>[5,2,4,3,8,6,1,7]=>0000000=>0000000 [5,7,6,4,3,1,8,2]=>[4,2,3,5,6,8,1,7]=>0000000=>0000000 [5,7,6,3,1,4,8,2]=>[4,2,3,6,8,5,1,7]=>0000000=>0000000 [3,2,8,6,7,1,4,5]=>[6,7,1,3,2,8,5,4]=>0000000=>0000000 [4,8,3,6,5,2,1,7]=>[5,1,6,3,4,7,8,2]=>0000000=>0000000 [1,8,7,2,3,5,4,6]=>[8,1,2,7,6,4,5,3]=>0000000=>0000000 [1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>0000000=>0000000 [1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>0000000=>0000000 [6,7,2,8,5,3,1,4]=>[3,2,7,1,4,6,8,5]=>0000000=>0000000 [6,7,2,8,3,1,5,4]=>[3,2,7,1,6,8,4,5]=>0000000=>0000000 [7,1,4,5,8,6,2,3]=>[2,8,5,4,1,3,7,6]=>0000000=>0000000 [7,4,6,1,8,2,3,5]=>[2,5,3,8,1,7,6,4]=>0000000=>0000000 [7,5,8,6,3,4,2,1]=>[2,4,1,3,6,5,7,8]=>0001011=>1101000 [5,7,8,3,1,6,4,2]=>[4,2,1,6,8,3,5,7]=>0000000=>0000000 [7,5,8,3,2,4,1,6]=>[2,4,1,6,7,5,8,3]=>0000000=>0000000 [8,7,1,3,5,4,6,2]=>[1,2,8,6,4,5,3,7]=>1100000=>0000011 [7,1,8,3,4,2,6,5]=>[2,8,1,6,5,7,3,4]=>0000000=>0000000 [6,4,1,8,2,5,7,3]=>[3,5,8,1,7,4,2,6]=>0000000=>0000000 [3,1,4,8,2,5,7,6]=>[6,8,5,1,7,4,2,3]=>0000000=>0000000 [8,2,7,5,4,1,3,6]=>[1,7,2,4,5,8,6,3]=>1000000=>0000001 [6,8,5,2,3,4,1,7]=>[3,1,4,7,6,5,8,2]=>0000000=>0000000 [2,6,8,7,1,5,3,4]=>[7,3,1,2,8,4,6,5]=>0000000=>0000000 [7,5,1,6,2,8,4,3]=>[2,4,8,3,7,1,5,6]=>0000000=>0000000 [3,7,2,4,8,5,1,6]=>[6,2,7,5,1,4,8,3]=>0000000=>0000000 [7,4,3,2,8,5,1,6]=>[2,5,6,7,1,4,8,3]=>0000000=>0000000 [1,5,2,6,3,8,7,4]=>[8,4,7,3,6,1,2,5]=>0000000=>0000000 [1,3,6,2,4,8,7,5]=>[8,6,3,7,5,1,2,4]=>0000000=>0000000 [5,4,8,3,2,6,1,7]=>[4,5,1,6,7,3,8,2]=>0000000=>0000000 [1,5,3,2,8,4,7,6]=>[8,4,6,7,1,5,2,3]=>0000000=>0000000 [5,7,4,3,1,2,6,8]=>[4,2,5,6,8,7,3,1]=>0000000=>0000000 [6,1,2,7,3,8,5,4]=>[3,8,7,2,6,1,4,5]=>0000000=>0000000 [2,1,7,3,4,8,6,5]=>[7,8,2,6,5,1,3,4]=>0000000=>0000000 [2,1,7,4,3,8,6,5]=>[7,8,2,5,6,1,3,4]=>0000000=>0000000 [5,1,3,2,8,7,4,6]=>[4,8,6,7,1,2,5,3]=>0000000=>0000000 [8,3,1,6,7,2,5,4]=>[1,6,8,3,2,7,4,5]=>1000000=>0000001 [4,8,3,7,1,5,2,6]=>[5,1,6,2,8,4,7,3]=>0000000=>0000000 [1,5,4,8,3,2,7,6]=>[8,4,5,1,6,7,2,3]=>0000000=>0000000 [5,4,7,1,3,2,6,8]=>[4,5,2,8,6,7,3,1]=>0000000=>0000000 [5,3,7,2,1,4,6,8]=>[4,6,2,7,8,5,3,1]=>0000000=>0000000 [7,4,6,2,1,5,3,8]=>[2,5,3,7,8,4,6,1]=>0000000=>0000000 [6,4,2,8,3,1,5,7]=>[3,5,7,1,6,8,4,2]=>0000000=>0000000 [5,7,2,3,8,1,4,6]=>[4,2,7,6,1,8,5,3]=>0000000=>0000000 [6,4,7,5,8,1,2,3]=>[3,5,2,4,1,8,7,6]=>0000100=>0010000 [7,4,2,1,5,8,6,3]=>[2,5,7,8,4,1,3,6]=>0000000=>0000000 [7,6,4,1,8,5,2,3]=>[2,3,5,8,1,4,7,6]=>0000000=>0000000 [7,5,1,3,2,8,6,4]=>[2,4,8,6,7,1,3,5]=>0000000=>0000000 [6,8,4,1,2,7,5,3]=>[3,1,5,8,7,2,4,6]=>0000000=>0000000 [7,4,8,1,6,3,5,2]=>[2,5,1,8,3,6,4,7]=>0000000=>0000000 [6,4,1,8,3,2,7,5]=>[3,5,8,1,6,7,2,4]=>0000000=>0000000 [1,4,8,7,2,6,5,3]=>[8,5,1,2,7,3,4,6]=>0000000=>0000000 [7,6,8,1,5,4,2,3]=>[2,3,1,8,4,5,7,6]=>0010000=>0000100 [8,6,1,7,5,4,3,2]=>[1,3,8,2,4,5,6,7]=>1000000=>0000001 [7,1,5,8,6,4,3,2]=>[2,8,4,1,3,5,6,7]=>0000000=>0000000 [3,2,8,6,1,7,5,4]=>[6,7,1,3,8,2,4,5]=>0000000=>0000000 [7,3,8,2,1,6,5,4]=>[2,6,1,7,8,3,4,5]=>0000000=>0000000 [8,4,3,7,5,2,6,1]=>[1,5,6,2,4,7,3,8]=>1000001=>1000001 [4,3,7,8,5,1,2,6]=>[5,6,2,1,4,8,7,3]=>0000000=>0000000 [5,2,6,8,4,1,3,7]=>[4,7,3,1,5,8,6,2]=>0000000=>0000000 [5,6,2,8,3,4,1,7]=>[4,3,7,1,6,5,8,2]=>0000000=>0000000 [5,2,3,8,4,1,6,7]=>[4,7,6,1,5,8,3,2]=>0000000=>0000000 [5,3,8,7,4,1,6,2]=>[4,6,1,2,5,8,3,7]=>0000000=>0000000 [5,3,2,8,6,4,1,7]=>[4,6,7,1,3,5,8,2]=>0000000=>0000000 [6,4,2,8,5,3,1,7]=>[3,5,7,1,4,6,8,2]=>0000000=>0000000 [8,7,4,3,6,2,5,1]=>[1,2,5,6,3,7,4,8]=>1100001=>1000011 [6,4,5,3,8,2,7,1]=>[3,5,4,6,1,7,2,8]=>0000001=>1000000 [7,4,5,3,8,2,6,1]=>[2,5,4,6,1,7,3,8]=>0000001=>1000000 [7,4,6,3,8,2,5,1]=>[2,5,3,6,1,7,4,8]=>0000001=>1000000 [7,5,6,3,8,2,4,1]=>[2,4,3,6,1,7,5,8]=>0000001=>1000000 [8,5,6,3,7,2,4,1]=>[1,4,3,6,2,7,5,8]=>1000001=>1000001 [8,4,6,3,7,2,5,1]=>[1,5,3,6,2,7,4,8]=>1000001=>1000001 [7,4,6,3,5,2,8,1]=>[2,5,3,6,4,7,1,8]=>0000001=>1000000 [8,4,6,3,5,2,7,1]=>[1,5,3,6,4,7,2,8]=>1000001=>1000001 [8,4,7,3,5,2,6,1]=>[1,5,2,6,4,7,3,8]=>1000001=>1000001 [8,5,7,3,4,2,6,1]=>[1,4,2,6,5,7,3,8]=>1000001=>1000001 [6,5,8,4,3,2,7,1]=>[3,4,1,5,6,7,2,8]=>0000001=>1000000 [6,5,8,3,4,2,7,1]=>[3,4,1,6,5,7,2,8]=>0000001=>1000000 [7,5,8,3,4,2,6,1]=>[2,4,1,6,5,7,3,8]=>0000001=>1000000 [7,6,8,3,5,2,4,1]=>[2,3,1,6,4,7,5,8]=>0010001=>1000100 [7,5,8,4,6,2,3,1]=>[2,4,1,5,3,7,6,8]=>0000101=>1010000 [7,5,8,3,6,2,4,1]=>[2,4,1,6,3,7,5,8]=>0000001=>1000000 [7,4,8,3,6,2,5,1]=>[2,5,1,6,3,7,4,8]=>0000001=>1000000 [7,4,8,3,5,2,6,1]=>[2,5,1,6,4,7,3,8]=>0000001=>1000000 [6,4,8,3,5,2,7,1]=>[3,5,1,6,4,7,2,8]=>0000001=>1000000 [6,4,7,3,5,2,8,1]=>[3,5,2,6,4,7,1,8]=>0000001=>1000000 [5,4,7,3,6,2,8,1]=>[4,5,2,6,3,7,1,8]=>0000001=>1000000 [5,4,8,3,7,2,6,1]=>[4,5,1,6,2,7,3,8]=>0000001=>1000000 [6,5,8,3,7,2,4,1]=>[3,4,1,6,2,7,5,8]=>0000001=>1000000 [6,5,8,4,7,2,3,1]=>[3,4,1,5,2,7,6,8]=>0000101=>1010000 [6,5,7,3,8,2,4,1]=>[3,4,2,6,1,7,5,8]=>0000001=>1000000 [6,4,7,3,8,2,5,1]=>[3,5,2,6,1,7,4,8]=>0000001=>1000000 [5,4,7,3,8,2,6,1]=>[4,5,2,6,1,7,3,8]=>0000001=>1000000 [5,4,6,3,8,2,7,1]=>[4,5,3,6,1,7,2,8]=>0000001=>1000000 [6,4,7,8,3,2,1,5]=>[3,5,2,1,6,7,8,4]=>0000000=>0000000 [6,3,7,8,5,2,1,4]=>[3,6,2,1,4,7,8,5]=>0000000=>0000000 [5,8,4,1,2,7,3,6]=>[4,1,5,8,7,2,6,3]=>0000000=>0000000 [5,4,8,1,2,3,7,6]=>[4,5,1,8,7,6,2,3]=>0000000=>0000000 [4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]=>0000000=>0000000 [4,7,5,1,2,8,3,6]=>[5,2,4,8,7,1,6,3]=>0000000=>0000000 [2,3,6,7,4,1,8,5]=>[7,6,3,2,5,8,1,4]=>0000000=>0000000 [4,1,3,2,8,7,5,6]=>[5,8,6,7,1,2,4,3]=>0000000=>0000000 [4,3,1,2,8,5,7,6]=>[5,6,8,7,1,4,2,3]=>0000000=>0000000 [3,7,8,2,6,4,1,5]=>[6,2,1,7,3,5,8,4]=>0000000=>0000000 [3,7,2,8,4,6,1,5]=>[6,2,7,1,5,3,8,4]=>0000000=>0000000 [3,7,2,4,8,6,1,5]=>[6,2,7,5,1,3,8,4]=>0000000=>0000000 [3,2,7,4,8,1,6,5]=>[6,7,2,5,1,8,3,4]=>0000000=>0000000 [2,4,3,6,1,8,7,5]=>[7,5,6,3,8,1,2,4]=>0000000=>0000000 [3,1,7,4,8,2,5,6]=>[6,8,2,5,1,7,4,3]=>0000000=>0000000 [1,3,5,7,6,8,2,4]=>[8,6,4,2,3,1,7,5]=>0000000=>0000000 [1,3,5,2,7,6,8,4]=>[8,6,4,7,2,3,1,5]=>0000000=>0000000 [1,3,5,7,6,2,4,8]=>[8,6,4,2,3,7,5,1]=>0000000=>0000000 [1,3,5,7,8,4,6,2]=>[8,6,4,2,1,5,3,7]=>0000000=>0000000 [1,3,5,2,7,8,6,4]=>[8,6,4,7,2,1,3,5]=>0000000=>0000000 [1,3,5,7,8,6,2,4]=>[8,6,4,2,1,3,7,5]=>0000000=>0000000 [2,3,6,1,7,8,5,4]=>[7,6,3,8,2,1,4,5]=>0000000=>0000000 [2,6,1,3,7,8,5,4]=>[7,3,8,6,2,1,4,5]=>0000000=>0000000 [2,5,7,3,4,8,6,1]=>[7,4,2,6,5,1,3,8]=>0000001=>1000000 [5,1,4,6,8,2,3,7]=>[4,8,5,3,1,7,6,2]=>0000000=>0000000 [2,4,6,3,7,5,1,8]=>[7,5,3,6,2,4,8,1]=>0000000=>0000000 [4,3,7,2,6,5,1,8]=>[5,6,2,7,3,4,8,1]=>0000000=>0000000 [5,3,2,7,4,6,1,8]=>[4,6,7,2,5,3,8,1]=>0000000=>0000000 [2,4,1,5,8,6,3,7]=>[7,5,8,4,1,3,6,2]=>0000000=>0000000 [4,6,1,2,5,8,3,7]=>[5,3,8,7,4,1,6,2]=>0000000=>0000000 [4,1,7,2,6,5,8,3]=>[5,8,2,7,3,4,1,6]=>0000000=>0000000 [6,4,5,7,1,3,8,2]=>[3,5,4,2,8,6,1,7]=>0000000=>0000000 [7,8,6,5,1,2,4,3]=>[2,1,3,4,8,7,5,6]=>0111000=>0001110 [4,1,6,2,8,5,7,3]=>[5,8,3,7,1,4,2,6]=>0000000=>0000000 [6,4,2,1,3,8,7,5]=>[3,5,7,8,6,1,2,4]=>0000000=>0000000 [1,5,8,3,4,6,7,2]=>[8,4,1,6,5,3,2,7]=>0000000=>0000000 [8,3,1,2,4,7,6,5]=>[1,6,8,7,5,2,3,4]=>1000000=>0000001 [4,3,2,8,1,6,5,7]=>[5,6,7,1,8,3,4,2]=>0000000=>0000000 [8,1,4,7,2,5,3,6]=>[1,8,5,2,7,4,6,3]=>1000000=>0000001 [2,7,8,4,6,3,1,5]=>[7,2,1,5,3,6,8,4]=>0000000=>0000000 [6,3,7,5,1,8,2,4]=>[3,6,2,4,8,1,7,5]=>0000000=>0000000 [2,5,8,7,3,6,1,4]=>[7,4,1,2,6,3,8,5]=>0000000=>0000000 [1,2,8,7,3,6,5,4]=>[8,7,1,2,6,3,4,5]=>0000000=>0000000 [1,5,8,7,3,2,6,4]=>[8,4,1,2,6,7,3,5]=>0000000=>0000000 [4,5,8,7,3,2,1,6]=>[5,4,1,2,6,7,8,3]=>0000000=>0000000 [2,6,8,3,7,5,1,4]=>[7,3,1,6,2,4,8,5]=>0000000=>0000000 [1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>0000000=>0000000 [3,6,8,4,7,2,1,5]=>[6,3,1,5,2,7,8,4]=>0000000=>0000000 [2,5,8,1,7,6,4,3]=>[7,4,1,8,2,3,5,6]=>0000000=>0000000 [2,5,8,3,7,6,1,4]=>[7,4,1,6,2,3,8,5]=>0000000=>0000000 [3,2,8,4,7,6,1,5]=>[6,7,1,5,2,3,8,4]=>0000000=>0000000 [3,1,8,4,7,2,6,5]=>[6,8,1,5,2,7,3,4]=>0000000=>0000000 [5,6,8,1,2,7,4,3]=>[4,3,1,8,7,2,5,6]=>0000000=>0000000 [1,6,8,4,2,7,5,3]=>[8,3,1,5,7,2,4,6]=>0000000=>0000000 [7,3,4,8,6,2,1,5]=>[2,6,5,1,3,7,8,4]=>0000000=>0000000 [7,1,4,8,2,6,5,3]=>[2,8,5,1,7,3,4,6]=>0000000=>0000000 [7,2,4,8,3,6,1,5]=>[2,7,5,1,6,3,8,4]=>0000000=>0000000 [3,6,2,8,7,5,1,4]=>[6,3,7,1,2,4,8,5]=>0000000=>0000000 [3,2,5,8,7,6,1,4]=>[6,7,4,1,2,3,8,5]=>0000000=>0000000 [1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>0000000=>0000000 [3,1,4,8,7,2,6,5]=>[6,8,5,1,2,7,3,4]=>0000000=>0000000 [1,6,5,8,2,7,4,3]=>[8,3,4,1,7,2,5,6]=>0000000=>0000000 [2,6,1,8,3,7,5,4]=>[7,3,8,1,6,2,4,5]=>0000000=>0000000 [4,6,5,8,3,2,1,7]=>[5,3,4,1,6,7,8,2]=>0000000=>0000000 [7,6,2,3,8,5,1,4]=>[2,3,7,6,1,4,8,5]=>0000000=>0000000 [7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>0000000=>0000000 [7,2,5,1,8,6,4,3]=>[2,7,4,8,1,3,5,6]=>0000000=>0000000 [7,2,5,3,8,6,1,4]=>[2,7,4,6,1,3,8,5]=>0000000=>0000000 [7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>0000000=>0000000 [2,6,1,4,8,7,5,3]=>[7,3,8,5,1,2,4,6]=>0000000=>0000000 [1,3,5,4,8,2,7,6]=>[8,6,4,5,1,7,2,3]=>0000000=>0000000 [7,6,1,4,2,8,5,3]=>[2,3,8,5,7,1,4,6]=>0000000=>0000000 [7,6,2,4,3,8,1,5]=>[2,3,7,5,6,1,8,4]=>0000000=>0000000 [7,1,2,4,3,8,6,5]=>[2,8,7,5,6,1,3,4]=>0000000=>0000000 [1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>0000000=>0000000 [7,1,5,4,3,2,8,6]=>[2,8,4,5,6,7,1,3]=>0000000=>0000000 [8,7,2,6,5,4,1,3]=>[1,2,7,3,4,5,8,6]=>1100000=>0000011 [7,8,6,1,5,4,3,2]=>[2,1,3,8,4,5,6,7]=>0110000=>0000110 [7,2,1,8,6,5,4,3]=>[2,7,8,1,3,4,5,6]=>0000000=>0000000 [4,8,5,7,6,3,2,1]=>[5,1,4,2,3,6,7,8]=>0000111=>1110000 [3,5,7,2,4,6,8,1]=>[6,4,2,7,5,3,1,8]=>0000001=>1000000 [4,3,5,1,7,8,2,6]=>[5,6,4,8,2,1,7,3]=>0000000=>0000000 [5,7,1,3,4,8,2,6]=>[4,2,8,6,5,1,7,3]=>0000000=>0000000 [4,6,3,5,1,7,8,2]=>[5,3,6,4,8,2,1,7]=>0000000=>0000000 [3,5,6,4,1,7,8,2]=>[6,4,3,5,8,2,1,7]=>0000000=>0000000 [6,4,7,1,3,5,8,2]=>[3,5,2,8,6,4,1,7]=>0000000=>0000000 [1,6,7,3,4,5,8,2]=>[8,3,2,6,5,4,1,7]=>0000000=>0000000 [2,6,7,4,5,8,1,3]=>[7,3,2,5,4,1,8,6]=>0000000=>0000000 [1,4,6,7,3,8,2,5]=>[8,5,3,2,6,1,7,4]=>0000000=>0000000 [5,3,6,1,2,7,8,4]=>[4,6,3,8,7,2,1,5]=>0000000=>0000000 [3,5,2,6,7,4,8,1]=>[6,4,7,3,2,5,1,8]=>0000001=>1000000 [5,2,6,1,3,7,8,4]=>[4,7,3,8,6,2,1,5]=>0000000=>0000000 [6,3,1,7,8,2,4,5]=>[3,6,8,2,1,7,5,4]=>0000000=>0000000 [5,7,2,8,1,3,4,6]=>[4,2,7,1,8,6,5,3]=>0000000=>0000000 [6,3,7,2,8,1,4,5]=>[3,6,2,7,1,8,5,4]=>0000000=>0000000 [3,5,7,2,6,8,1,4]=>[6,4,2,7,3,1,8,5]=>0000000=>0000000 [6,3,7,2,5,8,1,4]=>[3,6,2,7,4,1,8,5]=>0000000=>0000000 [6,2,4,5,1,7,8,3]=>[3,7,5,4,8,2,1,6]=>0000000=>0000000 [2,4,6,7,1,5,8,3]=>[7,5,3,2,8,4,1,6]=>0000000=>0000000 [2,4,7,1,5,6,8,3]=>[7,5,2,8,4,3,1,6]=>0000000=>0000000 [3,7,1,5,6,8,2,4]=>[6,2,8,4,3,1,7,5]=>0000000=>0000000 [5,6,2,4,7,3,8,1]=>[4,3,7,5,2,6,1,8]=>0000001=>1000000 [8,4,5,2,6,1,3,7]=>[1,5,4,7,3,8,6,2]=>1000000=>0000001 [8,5,3,4,1,6,2,7]=>[1,4,6,5,8,3,7,2]=>1000000=>0000001 [5,6,3,7,4,1,8,2]=>[4,3,6,2,5,8,1,7]=>0000000=>0000000 [6,7,4,2,1,5,8,3]=>[3,2,5,7,8,4,1,6]=>0000000=>0000000 [6,7,4,2,1,8,3,5]=>[3,2,5,7,8,1,6,4]=>0000000=>0000000 [5,6,7,3,1,8,2,4]=>[4,3,2,6,8,1,7,5]=>0000000=>0000000 [5,6,3,7,8,1,2,4]=>[4,3,6,2,1,8,7,5]=>0000000=>0000000 [5,6,3,7,2,4,8,1]=>[4,3,6,2,7,5,1,8]=>0000001=>1000000 [6,7,3,2,8,1,4,5]=>[3,2,6,7,1,8,5,4]=>0000000=>0000000 [7,6,3,4,1,2,8,5]=>[2,3,6,5,8,7,1,4]=>0000000=>0000000 [7,5,3,2,6,1,8,4]=>[2,4,6,7,3,8,1,5]=>0000000=>0000000 [6,7,3,2,5,1,8,4]=>[3,2,6,7,4,8,1,5]=>0000000=>0000000 [6,4,7,2,5,1,8,3]=>[3,5,2,7,4,8,1,6]=>0000000=>0000000 [7,4,5,2,6,1,8,3]=>[2,5,4,7,3,8,1,6]=>0000000=>0000000 [7,5,6,2,1,3,8,4]=>[2,4,3,7,8,6,1,5]=>0000000=>0000000 [5,6,7,2,4,1,8,3]=>[4,3,2,7,5,8,1,6]=>0000000=>0000000 [5,6,4,2,7,3,8,1]=>[4,3,5,7,2,6,1,8]=>0000001=>1000000 [3,7,8,5,6,1,4,2]=>[6,2,1,4,3,8,5,7]=>0000000=>0000000 [1,5,7,8,6,3,4,2]=>[8,4,2,1,3,6,5,7]=>0000000=>0000000 [3,5,7,8,1,6,4,2]=>[6,4,2,1,8,3,5,7]=>0000000=>0000000 [5,3,7,8,6,1,4,2]=>[4,6,2,1,3,8,5,7]=>0000000=>0000000 [7,3,8,5,6,1,4,2]=>[2,6,1,4,3,8,5,7]=>0000000=>0000000 [5,1,7,8,6,3,4,2]=>[4,8,2,1,3,6,5,7]=>0000000=>0000000 [7,3,8,5,1,6,4,2]=>[2,6,1,4,8,3,5,7]=>0000000=>0000000 [7,3,5,8,1,6,4,2]=>[2,6,4,1,8,3,5,7]=>0000000=>0000000 [7,3,5,1,8,6,4,2]=>[2,6,4,8,1,3,5,7]=>0000000=>0000000 [5,3,7,1,8,6,4,2]=>[4,6,2,8,1,3,5,7]=>0000000=>0000000 [1,5,7,3,8,6,4,2]=>[8,4,2,6,1,3,5,7]=>0000000=>0000000 [3,7,5,1,8,6,4,2]=>[6,2,4,8,1,3,5,7]=>0000000=>0000000 [3,7,5,8,1,6,4,2]=>[6,2,4,1,8,3,5,7]=>0000000=>0000000 [5,7,8,1,6,3,4,2]=>[4,2,1,8,3,6,5,7]=>0000000=>0000000 [7,5,1,8,3,6,4,2]=>[2,4,8,1,6,3,5,7]=>0000000=>0000000 [7,1,3,5,8,6,4,2]=>[2,8,6,4,1,3,5,7]=>0000000=>0000000 [5,1,3,7,8,6,4,2]=>[4,8,6,2,1,3,5,7]=>0000000=>0000000 [4,3,1,2,6,5,8,7]=>[5,6,8,7,3,4,1,2]=>0000000=>0000000 [5,4,7,8,6,1,3,2]=>[4,5,2,1,3,8,6,7]=>0000100=>0010000 [7,5,6,2,8,3,1,4]=>[2,4,3,7,1,6,8,5]=>0000000=>0000000 [4,7,2,5,8,3,1,6]=>[5,2,7,4,1,6,8,3]=>0000000=>0000000 [4,6,3,5,1,2,8,7]=>[5,3,6,4,8,7,1,2]=>0000000=>0000000 [2,3,6,1,5,4,8,7]=>[7,6,3,8,4,5,1,2]=>0000000=>0000000 [2,1,6,5,3,4,8,7]=>[7,8,3,4,6,5,1,2]=>0000000=>0000000 [5,1,4,6,3,2,8,7]=>[4,8,5,3,6,7,1,2]=>0000000=>0000000 [3,5,6,2,4,1,8,7]=>[6,4,3,7,5,8,1,2]=>0000000=>0000000 [8,7,6,1,3,2,4,5]=>[1,2,3,8,6,7,5,4]=>1110000=>0000111 [5,1,8,2,3,4,7,6]=>[4,8,1,7,6,5,2,3]=>0000000=>0000000 [5,4,7,6,2,8,1,3]=>[4,5,2,3,7,1,8,6]=>0000000=>0000000 [3,7,8,1,5,4,6,2]=>[6,2,1,8,4,5,3,7]=>0000000=>0000000 [2,1,6,8,5,7,3,4]=>[7,8,3,1,4,2,6,5]=>0000000=>0000000 [4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]=>0000000=>0000000 [3,1,8,6,2,7,5,4]=>[6,8,1,3,7,2,4,5]=>0000000=>0000000 [8,2,3,5,7,1,6,4]=>[1,7,6,4,2,8,3,5]=>1000000=>0000001 [2,8,3,6,7,5,1,4]=>[7,1,6,3,2,4,8,5]=>0000000=>0000000 [8,2,1,7,6,3,5,4]=>[1,7,8,2,3,6,4,5]=>1000000=>0000001 [2,1,4,5,8,3,7,6]=>[7,8,5,4,1,6,2,3]=>0000000=>0000000 [2,4,8,3,5,6,7,1]=>[7,5,1,6,4,3,2,8]=>0000001=>1000000 [6,4,7,5,2,3,8,1]=>[3,5,2,4,7,6,1,8]=>0000001=>1000000 [2,1,4,3,8,7,5,6]=>[7,8,5,6,1,2,4,3]=>0000000=>0000000 [4,3,1,2,8,6,7,5]=>[5,6,8,7,1,3,2,4]=>0000000=>0000000 [5,1,6,7,8,4,3,2]=>[4,8,3,2,1,5,6,7]=>0000000=>0000000 [8,7,2,6,4,1,5,3]=>[1,2,7,3,5,8,4,6]=>1100000=>0000011 [2,1,5,7,8,4,6,3]=>[7,8,4,2,1,5,3,6]=>0000000=>0000000 [6,1,7,4,3,2,8,5]=>[3,8,2,5,6,7,1,4]=>0000000=>0000000 [7,1,4,8,3,5,6,2]=>[2,8,5,1,6,4,3,7]=>0000000=>0000000 [4,7,5,6,8,3,1,2]=>[5,2,4,3,1,6,8,7]=>0000110=>0110000 [8,6,4,7,5,3,1,2]=>[1,3,5,2,4,6,8,7]=>1000110=>0110001 [1,6,3,7,5,8,4,2]=>[8,3,6,2,4,1,5,7]=>0000000=>0000000 [4,8,7,5,6,3,1,2]=>[5,1,2,4,3,6,8,7]=>0000110=>0110000 [2,7,6,3,1,4,5,8]=>[7,2,3,6,8,5,4,1]=>0000000=>0000000 [6,8,5,3,2,1,4,7]=>[3,1,4,6,7,8,5,2]=>0000000=>0000000 [2,7,6,4,5,1,3,8]=>[7,2,3,5,4,8,6,1]=>0000000=>0000000 [5,7,2,6,4,1,3,8]=>[4,2,7,3,5,8,6,1]=>0000000=>0000000 [6,1,3,7,5,8,4,2]=>[3,8,6,2,4,1,5,7]=>0000000=>0000000 [4,1,7,3,6,8,5,2]=>[5,8,2,6,3,1,4,7]=>0000000=>0000000 [8,1,6,4,3,7,5,2]=>[1,8,3,5,6,2,4,7]=>1000000=>0000001 [1,8,6,3,7,5,4,2]=>[8,1,3,6,2,4,5,7]=>0000000=>0000000 [1,8,2,7,3,6,5,4]=>[8,1,7,2,6,3,4,5]=>0000000=>0000000 [3,1,2,8,4,6,7,5]=>[6,8,7,1,5,3,2,4]=>0000000=>0000000 [5,1,2,4,8,3,7,6]=>[4,8,7,5,1,6,2,3]=>0000000=>0000000 [2,8,4,1,5,6,3,7]=>[7,1,5,8,4,3,6,2]=>0000000=>0000000 [1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>0000000=>0000000 [1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000=>0000000 [2,4,8,3,1,5,6,7]=>[7,5,1,6,8,4,3,2]=>0000000=>0000000 [4,7,3,8,2,1,5,6]=>[5,2,6,1,7,8,4,3]=>0000000=>0000000 [7,4,8,3,2,1,5,6]=>[2,5,1,6,7,8,4,3]=>0000000=>0000000 [8,3,7,2,1,5,4,6]=>[1,6,2,7,8,4,5,3]=>1000000=>0000001 [5,4,6,2,7,1,3,8]=>[4,5,3,7,2,8,6,1]=>0000000=>0000000 [7,6,2,1,8,5,3,4]=>[2,3,7,8,1,4,6,5]=>0000000=>0000000 [6,5,1,2,8,3,7,4]=>[3,4,8,7,1,6,2,5]=>0000000=>0000000 [6,8,4,1,3,7,5,2]=>[3,1,5,8,6,2,4,7]=>0000000=>0000000 [4,7,1,2,8,3,6,5]=>[5,2,8,7,1,6,3,4]=>0000000=>0000000 [3,4,1,8,5,6,7,2]=>[6,5,8,1,4,3,2,7]=>0000000=>0000000 [1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>0000000=>0000000 [5,8,2,1,7,6,3,4]=>[4,1,7,8,2,3,6,5]=>0000000=>0000000 [8,7,1,6,5,4,3,2]=>[1,2,8,3,4,5,6,7]=>1100000=>0000011 [1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000=>0000000 [2,4,7,5,6,8,3,1]=>[7,5,2,4,3,1,6,8]=>0000001=>1000000 [2,7,6,4,5,8,3,1]=>[7,2,3,5,4,1,6,8]=>0000001=>1000000 [7,4,8,2,1,6,3,5]=>[2,5,1,7,8,3,6,4]=>0000000=>0000000 [6,4,2,5,8,3,7,1]=>[3,5,7,4,1,6,2,8]=>0000001=>1000000 [5,4,8,7,2,3,6,1]=>[4,5,1,2,7,6,3,8]=>0000001=>1000000 [5,4,8,7,3,1,2,6]=>[4,5,1,2,6,8,7,3]=>0000000=>0000000 [6,4,3,8,1,5,2,7]=>[3,5,6,1,8,4,7,2]=>0000000=>0000000 [5,3,6,8,7,2,4,1]=>[4,6,3,1,2,7,5,8]=>0000001=>1000000 [6,4,7,2,1,8,3,5]=>[3,5,2,7,8,1,6,4]=>0000000=>0000000 [6,8,5,4,1,3,2,7]=>[3,1,4,5,8,6,7,2]=>0000000=>0000000 [6,5,3,1,4,7,2,8]=>[3,4,6,8,5,2,7,1]=>0000000=>0000000 [5,7,8,2,6,4,1,3]=>[4,2,1,7,3,5,8,6]=>0000000=>0000000 [2,6,8,4,5,7,1,3]=>[7,3,1,5,4,2,8,6]=>0000000=>0000000 [3,6,8,5,7,1,4,2]=>[6,3,1,4,2,8,5,7]=>0000000=>0000000 [6,3,7,2,8,5,1,4]=>[3,6,2,7,1,4,8,5]=>0000000=>0000000 [8,1,4,2,7,5,3,6]=>[1,8,5,7,2,4,6,3]=>1000000=>0000001 [2,7,1,4,3,8,5,6]=>[7,2,8,5,6,1,4,3]=>0000000=>0000000 [6,3,4,1,8,5,7,2]=>[3,6,5,8,1,4,2,7]=>0000000=>0000000 [5,6,3,2,1,8,7,4]=>[4,3,6,7,8,1,2,5]=>0000000=>0000000 [4,5,3,2,7,1,8,6]=>[5,4,6,7,2,8,1,3]=>0000000=>0000000 [6,4,2,8,5,1,7,3]=>[3,5,7,1,4,8,2,6]=>0000000=>0000000 [1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>0000000=>0000000 [4,5,8,3,1,7,6,2]=>[5,4,1,6,8,2,3,7]=>0000000=>0000000 [4,6,3,5,2,1,8,7]=>[5,3,6,4,7,8,1,2]=>0000000=>0000000 [3,5,2,1,8,4,6,7]=>[6,4,7,8,1,5,3,2]=>0000000=>0000000 [3,6,2,1,4,7,5,8]=>[6,3,7,8,5,2,4,1]=>0000000=>0000000 [7,4,1,2,8,6,3,5]=>[2,5,8,7,1,3,6,4]=>0000000=>0000000 [7,5,1,6,8,4,3,2]=>[2,4,8,3,1,5,6,7]=>0000000=>0000000 [7,3,8,1,5,4,6,2]=>[2,6,1,8,4,5,3,7]=>0000000=>0000000 [7,2,8,6,5,1,3,4]=>[2,7,1,3,4,8,6,5]=>0000000=>0000000 [6,2,7,8,5,4,1,3]=>[3,7,2,1,4,5,8,6]=>0000000=>0000000 [5,3,2,6,7,4,1,8]=>[4,6,7,3,2,5,8,1]=>0000000=>0000000 [4,8,2,6,5,7,1,3]=>[5,1,7,3,4,2,8,6]=>0000000=>0000000 [3,8,7,6,2,4,1,5]=>[6,1,2,3,7,5,8,4]=>0000000=>0000000 [2,7,1,3,6,5,4,8]=>[7,2,8,6,3,4,5,1]=>0000000=>0000000 [5,7,1,4,6,3,2,8]=>[4,2,8,5,3,6,7,1]=>0000000=>0000000 [8,7,3,6,1,5,4,2]=>[1,2,6,3,8,4,5,7]=>1100000=>0000011 [5,4,2,1,7,8,3,6]=>[4,5,7,8,2,1,6,3]=>0000000=>0000000 [8,3,6,2,1,7,5,4]=>[1,6,3,7,8,2,4,5]=>1000000=>0000001 [8,3,2,1,4,7,6,5]=>[1,6,7,8,5,2,3,4]=>1000000=>0000001 [2,3,1,8,4,7,6,5]=>[7,6,8,1,5,2,3,4]=>0000000=>0000000 [8,5,4,1,7,3,6,2]=>[1,4,5,8,2,6,3,7]=>1000000=>0000001 [1,6,3,8,2,7,5,4]=>[8,3,6,1,7,2,4,5]=>0000000=>0000000 [8,6,3,2,7,5,1,4]=>[1,3,6,7,2,4,8,5]=>1000000=>0000001 [2,7,5,1,3,8,6,4]=>[7,2,4,8,6,1,3,5]=>0000000=>0000000 [8,7,4,2,6,1,5,3]=>[1,2,5,7,3,8,4,6]=>1100000=>0000011 [5,2,6,1,8,7,4,3]=>[4,7,3,8,1,2,5,6]=>0000000=>0000000 [1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>0000000=>0000000 [3,7,8,5,2,4,1,6]=>[6,2,1,4,7,5,8,3]=>0000000=>0000000 [4,1,7,8,5,3,2,6]=>[5,8,2,1,4,6,7,3]=>0000000=>0000000 [5,7,3,1,8,4,6,2]=>[4,2,6,8,1,5,3,7]=>0000000=>0000000 [8,4,7,3,1,6,5,2]=>[1,5,2,6,8,3,4,7]=>1000000=>0000001 [7,8,1,6,3,4,2,5]=>[2,1,8,3,6,5,7,4]=>0100000=>0000010 [5,7,1,6,2,8,3,4]=>[4,2,8,3,7,1,6,5]=>0000000=>0000000 [6,7,2,4,3,8,1,5]=>[3,2,7,5,6,1,8,4]=>0000000=>0000000 [2,5,1,8,6,7,3,4]=>[7,4,8,1,3,2,6,5]=>0000000=>0000000 [1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000=>0000000 [2,3,1,8,5,6,4,7]=>[7,6,8,1,4,3,5,2]=>0000000=>0000000 [5,7,2,4,3,6,1,8]=>[4,2,7,5,6,3,8,1]=>0000000=>0000000 [4,6,2,7,1,5,3,8]=>[5,3,7,2,8,4,6,1]=>0000000=>0000000 [4,7,1,6,2,5,3,8]=>[5,2,8,3,7,4,6,1]=>0000000=>0000000 [3,5,4,6,2,8,1,7]=>[6,4,5,3,7,1,8,2]=>0000000=>0000000 [3,7,1,6,2,8,4,5]=>[6,2,8,3,7,1,5,4]=>0000000=>0000000 [3,5,2,7,4,8,1,6]=>[6,4,7,2,5,1,8,3]=>0000000=>0000000 [2,7,1,8,3,6,4,5]=>[7,2,8,1,6,3,5,4]=>0000000=>0000000 [3,7,2,1,4,5,8,6]=>[6,2,7,8,5,4,1,3]=>0000000=>0000000 [4,6,2,1,5,8,7,3]=>[5,3,7,8,4,1,2,6]=>0000000=>0000000 [2,1,6,4,3,8,7,5]=>[7,8,3,5,6,1,2,4]=>0000000=>0000000 [6,8,7,2,1,4,3,5]=>[3,1,2,7,8,5,6,4]=>0010000=>0000100 [2,8,6,7,4,3,1,5]=>[7,1,3,2,5,6,8,4]=>0000000=>0000000 [4,2,1,6,8,7,5,3]=>[5,7,8,3,1,2,4,6]=>0000000=>0000000 [4,2,1,6,5,8,7,3]=>[5,7,8,3,4,1,2,6]=>0000000=>0000000 [4,2,1,8,6,7,3,5]=>[5,7,8,1,3,2,6,4]=>0000000=>0000000 [6,2,1,8,4,3,7,5]=>[3,7,8,1,5,6,2,4]=>0000000=>0000000 [8,4,6,2,1,5,3,7]=>[1,5,3,7,8,4,6,2]=>1000000=>0000001 [6,4,8,2,1,5,7,3]=>[3,5,1,7,8,4,2,6]=>0000000=>0000000 [6,2,3,5,1,4,8,7]=>[3,7,6,4,8,5,1,2]=>0000000=>0000000 [7,4,5,2,3,8,6,1]=>[2,5,4,7,6,1,3,8]=>0000001=>1000000 [7,3,2,5,4,8,6,1]=>[2,6,7,4,5,1,3,8]=>0000001=>1000000 [3,5,1,6,4,2,8,7]=>[6,4,8,3,5,7,1,2]=>0000000=>0000000 [3,6,2,4,5,1,8,7]=>[6,3,7,5,4,8,1,2]=>0000000=>0000000 [5,7,1,3,8,6,2,4]=>[4,2,8,6,1,3,7,5]=>0000000=>0000000 [5,8,2,4,6,7,1,3]=>[4,1,7,5,3,2,8,6]=>0000000=>0000000 [6,8,2,5,1,7,3,4]=>[3,1,7,4,8,2,6,5]=>0000000=>0000000 [3,8,2,5,4,7,6,1]=>[6,1,7,4,5,2,3,8]=>0000001=>1000000 [4,6,7,1,8,5,3,2]=>[5,3,2,8,1,4,6,7]=>0000000=>0000000 [3,6,1,7,8,5,4,2]=>[6,3,8,2,1,4,5,7]=>0000000=>0000000 [2,1,5,7,3,8,6,4]=>[7,8,4,2,6,1,3,5]=>0000000=>0000000 [5,4,7,1,2,8,6,3]=>[4,5,2,8,7,1,3,6]=>0000000=>0000000 [6,4,7,2,8,5,3,1]=>[3,5,2,7,1,4,6,8]=>0000001=>1000000 [4,1,2,3,7,8,6,5]=>[5,8,7,6,2,1,3,4]=>0000000=>0000000 [3,4,2,1,8,5,6,7]=>[6,5,7,8,1,4,3,2]=>0000000=>0000000 [8,2,3,5,7,1,4,6]=>[1,7,6,4,2,8,5,3]=>1000000=>0000001 [8,1,3,6,4,7,2,5]=>[1,8,6,3,5,2,7,4]=>1000000=>0000001 [4,5,8,3,6,7,2,1]=>[5,4,1,6,3,2,7,8]=>0000011=>1100000 [2,1,5,8,4,6,7,3]=>[7,8,4,1,5,3,2,6]=>0000000=>0000000 [4,6,8,3,5,2,7,1]=>[5,3,1,6,4,7,2,8]=>0000001=>1000000 [3,7,8,2,1,4,6,5]=>[6,2,1,7,8,5,3,4]=>0000000=>0000000 [3,1,5,2,4,8,7,6]=>[6,8,4,7,5,1,2,3]=>0000000=>0000000 [3,6,4,5,1,8,7,2]=>[6,3,5,4,8,1,2,7]=>0000000=>0000000 [4,3,6,1,2,8,7,5]=>[5,6,3,8,7,1,2,4]=>0000000=>0000000 [6,3,2,4,1,8,7,5]=>[3,6,7,5,8,1,2,4]=>0000000=>0000000 [8,1,2,5,4,6,3,7]=>[1,8,7,4,5,3,6,2]=>1000000=>0000001 [6,8,3,1,4,7,5,2]=>[3,1,6,8,5,2,4,7]=>0000000=>0000000 [8,4,2,5,7,1,6,3]=>[1,5,7,4,2,8,3,6]=>1000000=>0000001 [8,7,4,2,1,6,3,5]=>[1,2,5,7,8,3,6,4]=>1100000=>0000011 [8,3,5,2,7,4,1,6]=>[1,6,4,7,2,5,8,3]=>1000000=>0000001 [1,8,5,3,7,4,6,2]=>[8,1,4,6,2,5,3,7]=>0000000=>0000000 [4,2,8,5,7,6,1,3]=>[5,7,1,4,2,3,8,6]=>0000000=>0000000 [4,2,1,7,5,3,6,8]=>[5,7,8,2,4,6,3,1]=>0000000=>0000000 [7,3,6,1,8,2,4,5]=>[2,6,3,8,1,7,5,4]=>0000000=>0000000 [4,3,1,8,5,6,7,2]=>[5,6,8,1,4,3,2,7]=>0000000=>0000000 [1,8,5,4,3,6,2,7]=>[8,1,4,5,6,3,7,2]=>0000000=>0000000 [1,8,3,6,5,2,7,4]=>[8,1,6,3,4,7,2,5]=>0000000=>0000000 [4,7,1,8,2,6,5,3]=>[5,2,8,1,7,3,4,6]=>0000000=>0000000 [3,8,2,5,1,7,6,4]=>[6,1,7,4,8,2,3,5]=>0000000=>0000000 [1,4,8,3,5,7,6,2]=>[8,5,1,6,4,2,3,7]=>0000000=>0000000 [6,3,5,1,4,2,8,7]=>[3,6,4,8,5,7,1,2]=>0000000=>0000000 [3,6,1,5,7,2,8,4]=>[6,3,8,4,2,7,1,5]=>0000000=>0000000 [6,3,1,2,8,5,7,4]=>[3,6,8,7,1,4,2,5]=>0000000=>0000000 [5,3,8,7,2,1,4,6]=>[4,6,1,2,7,8,5,3]=>0000000=>0000000 [4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>0000000=>0000000 [1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>0000000=>0000000 [1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>0000000=>0000000 [4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>0000000=>0000000 [5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>0000000=>0000000 [1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>0000000=>0000000 [1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>0000000=>0000000 [1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>0000000=>0000000 [8,7,3,2,1,6,5,4]=>[1,2,6,7,8,3,4,5]=>1100000=>0000011 [8,7,6,3,1,5,2,4]=>[1,2,3,6,8,4,7,5]=>1110000=>0000111 [8,7,4,1,6,2,3,5]=>[1,2,5,8,3,7,6,4]=>1100000=>0000011 [2,5,8,3,4,6,7,1]=>[7,4,1,6,5,3,2,8]=>0000001=>1000000 [6,4,2,8,1,5,7,3]=>[3,5,7,1,8,4,2,6]=>0000000=>0000000 [7,3,6,8,5,2,4,1]=>[2,6,3,1,4,7,5,8]=>0000001=>1000000 [2,7,8,3,6,5,1,4]=>[7,2,1,6,3,4,8,5]=>0000000=>0000000 [2,7,8,5,4,6,3,1]=>[7,2,1,4,5,3,6,8]=>0000001=>1000000 [2,7,8,3,6,1,4,5]=>[7,2,1,6,3,8,5,4]=>0000000=>0000000 [5,3,2,7,4,8,1,6]=>[4,6,7,2,5,1,8,3]=>0000000=>0000000 [2,1,3,7,8,5,6,4]=>[7,8,6,2,1,4,3,5]=>0000000=>0000000 [5,1,2,4,8,7,3,6]=>[4,8,7,5,1,2,6,3]=>0000000=>0000000 [5,2,6,1,7,8,4,3]=>[4,7,3,8,2,1,5,6]=>0000000=>0000000 [3,6,5,4,1,8,7,2]=>[6,3,4,5,8,1,2,7]=>0000000=>0000000 [3,5,6,4,7,8,1,2]=>[6,4,3,5,2,1,8,7]=>0000010=>0100000 [5,2,3,4,8,7,1,6]=>[4,7,6,5,1,2,8,3]=>0000000=>0000000 [3,1,8,4,7,2,5,6]=>[6,8,1,5,2,7,4,3]=>0000000=>0000000 [1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000=>0000000 [5,3,2,8,1,6,4,7]=>[4,6,7,1,8,3,5,2]=>0000000=>0000000 [6,4,7,2,5,8,1,3]=>[3,5,2,7,4,1,8,6]=>0000000=>0000000 [3,5,8,1,2,6,4,7]=>[6,4,1,8,7,3,5,2]=>0000000=>0000000 [8,6,1,3,5,2,4,7]=>[1,3,8,6,4,7,5,2]=>1000000=>0000001 [8,5,1,2,6,4,3,7]=>[1,4,8,7,3,5,6,2]=>1000000=>0000001 [2,4,6,5,1,7,8,3]=>[7,5,3,4,8,2,1,6]=>0000000=>0000000 [5,6,1,7,4,2,8,3]=>[4,3,8,2,5,7,1,6]=>0000000=>0000000 [1,3,8,6,2,7,4,5]=>[8,6,1,3,7,2,5,4]=>0000000=>0000000 [4,3,7,5,6,1,8,2]=>[5,6,2,4,3,8,1,7]=>0000000=>0000000 [6,4,7,8,2,1,3,5]=>[3,5,2,1,7,8,6,4]=>0000000=>0000000 [6,7,3,8,4,1,2,5]=>[3,2,6,1,5,8,7,4]=>0000000=>0000000 [5,7,3,1,6,8,4,2]=>[4,2,6,8,3,1,5,7]=>0000000=>0000000 [4,6,7,2,8,3,1,5]=>[5,3,2,7,1,6,8,4]=>0000000=>0000000 [4,5,6,7,3,1,8,2]=>[5,4,3,2,6,8,1,7]=>0000000=>0000000 [8,7,6,4,1,2,5,3]=>[1,2,3,5,8,7,4,6]=>1110000=>0000111 [7,5,4,6,2,8,1,3]=>[2,4,5,3,7,1,8,6]=>0000000=>0000000 [7,5,2,8,4,1,3,6]=>[2,4,7,1,5,8,6,3]=>0000000=>0000000 [7,3,8,5,2,1,4,6]=>[2,6,1,4,7,8,5,3]=>0000000=>0000000 [5,8,2,1,6,7,4,3]=>[4,1,7,8,3,2,5,6]=>0000000=>0000000 [3,7,6,8,1,2,5,4]=>[6,2,3,1,8,7,4,5]=>0000000=>0000000 [6,5,1,4,2,3,8,7]=>[3,4,8,5,7,6,1,2]=>0000000=>0000000 [8,7,6,1,2,3,5,4]=>[1,2,3,8,7,6,4,5]=>1110000=>0000111 [5,4,1,6,2,3,8,7]=>[4,5,8,3,7,6,1,2]=>0000000=>0000000 [5,8,7,6,1,2,3,4]=>[4,1,2,3,8,7,6,5]=>0001000=>0001000 [8,2,7,1,5,4,3,6]=>[1,7,2,8,4,5,6,3]=>1000000=>0000001 [2,1,8,7,3,6,4,5]=>[7,8,1,2,6,3,5,4]=>0000000=>0000000 [4,6,2,8,5,1,3,7]=>[5,3,7,1,4,8,6,2]=>0000000=>0000000 [5,2,1,8,7,3,4,6]=>[4,7,8,1,2,6,5,3]=>0000000=>0000000 [4,6,5,2,7,3,8,1]=>[5,3,4,7,2,6,1,8]=>0000001=>1000000 [2,7,5,4,8,3,6,1]=>[7,2,4,5,1,6,3,8]=>0000001=>1000000 [3,1,6,2,4,8,7,5]=>[6,8,3,7,5,1,2,4]=>0000000=>0000000 [2,1,7,6,3,8,4,5]=>[7,8,2,3,6,1,5,4]=>0000000=>0000000 [7,1,6,2,3,8,5,4]=>[2,8,3,7,6,1,4,5]=>0000000=>0000000 [8,2,3,4,6,7,1,5]=>[1,7,6,5,3,2,8,4]=>1000000=>0000001 [6,4,8,3,5,7,1,2]=>[3,5,1,6,4,2,8,7]=>0000010=>0100000 [8,7,4,6,2,1,5,3]=>[1,2,5,3,7,8,4,6]=>1100000=>0000011 [5,8,3,2,4,6,1,7]=>[4,1,6,7,5,3,8,2]=>0000000=>0000000 [2,8,4,1,5,3,7,6]=>[7,1,5,8,4,6,2,3]=>0000000=>0000000 [4,7,6,1,2,5,8,3]=>[5,2,3,8,7,4,1,6]=>0000000=>0000000 [3,6,7,1,8,5,2,4]=>[6,3,2,8,1,4,7,5]=>0000000=>0000000 [6,5,7,3,1,8,4,2]=>[3,4,2,6,8,1,5,7]=>0000000=>0000000 [6,3,5,4,1,7,8,2]=>[3,6,4,5,8,2,1,7]=>0000000=>0000000 [8,4,7,6,2,1,5,3]=>[1,5,2,3,7,8,4,6]=>1000000=>0000001 [5,7,2,3,6,4,8,1]=>[4,2,7,6,3,5,1,8]=>0000001=>1000000 [8,1,5,7,2,3,6,4]=>[1,8,4,2,7,6,3,5]=>1000000=>0000001 [6,8,3,1,2,4,5,7]=>[3,1,6,8,7,5,4,2]=>0000000=>0000000 [6,5,3,7,8,4,1,2]=>[3,4,6,2,1,5,8,7]=>0000010=>0100000 [2,1,4,6,8,3,7,5]=>[7,8,5,3,1,6,2,4]=>0000000=>0000000 [5,4,1,6,3,8,7,2]=>[4,5,8,3,6,1,2,7]=>0000000=>0000000 [3,5,6,2,4,8,7,1]=>[6,4,3,7,5,1,2,8]=>0000001=>1000000 [6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>0000000=>0000000 [5,4,1,2,8,7,6,3]=>[4,5,8,7,1,2,3,6]=>0000000=>0000000 [4,3,2,6,8,1,7,5]=>[5,6,7,3,1,8,2,4]=>0000000=>0000000 [6,1,2,8,7,4,3,5]=>[3,8,7,1,2,5,6,4]=>0000000=>0000000 [5,6,8,1,7,3,2,4]=>[4,3,1,8,2,6,7,5]=>0000000=>0000000 [3,2,8,1,4,7,6,5]=>[6,7,1,8,5,2,3,4]=>0000000=>0000000 [2,1,7,8,3,4,6,5]=>[7,8,2,1,6,5,3,4]=>0000000=>0000000 [3,5,8,7,4,2,6,1]=>[6,4,1,2,5,7,3,8]=>0000001=>1000000 [5,6,1,8,2,7,4,3]=>[4,3,8,1,7,2,5,6]=>0000000=>0000000 [3,6,8,5,2,7,4,1]=>[6,3,1,4,7,2,5,8]=>0000001=>1000000 [2,1,7,3,5,8,6,4]=>[7,8,2,6,4,1,3,5]=>0000000=>0000000 [3,8,7,4,1,2,5,6]=>[6,1,2,5,8,7,4,3]=>0000000=>0000000 [3,6,8,1,5,7,2,4]=>[6,3,1,8,4,2,7,5]=>0000000=>0000000 [3,5,7,8,4,6,1,2]=>[6,4,2,1,5,3,8,7]=>0000010=>0100000 [7,5,2,8,4,6,3,1]=>[2,4,7,1,5,3,6,8]=>0000001=>1000000 [6,2,7,1,3,5,8,4]=>[3,7,2,8,6,4,1,5]=>0000000=>0000000 [7,2,4,1,6,3,8,5]=>[2,7,5,8,3,6,1,4]=>0000000=>0000000 [8,4,3,1,7,5,2,6]=>[1,5,6,8,2,4,7,3]=>1000000=>0000001 [7,3,8,5,2,6,4,1]=>[2,6,1,4,7,3,5,8]=>0000001=>1000000 [5,2,4,3,6,8,1,7]=>[4,7,5,6,3,1,8,2]=>0000000=>0000000 [3,7,5,8,1,6,2,4]=>[6,2,4,1,8,3,7,5]=>0000000=>0000000 [4,7,5,6,3,8,2,1]=>[5,2,4,3,6,1,7,8]=>0000011=>1100000 [4,8,5,7,2,3,1,6]=>[5,1,4,2,7,6,8,3]=>0000000=>0000000 [3,8,5,7,1,4,6,2]=>[6,1,4,2,8,5,3,7]=>0000000=>0000000 [5,8,2,7,3,4,6,1]=>[4,1,7,2,6,5,3,8]=>0000001=>1000000 [5,7,2,1,8,3,6,4]=>[4,2,7,8,1,6,3,5]=>0000000=>0000000 [7,8,1,2,3,4,6,5]=>[2,1,8,7,6,5,3,4]=>0100000=>0000010 [5,7,2,8,3,6,1,4]=>[4,2,7,1,6,3,8,5]=>0000000=>0000000 [5,6,2,4,3,1,8,7]=>[4,3,7,5,6,8,1,2]=>0000000=>0000000 [6,8,3,7,5,4,2,1]=>[3,1,6,2,4,5,7,8]=>0000011=>1100000 [6,1,3,4,7,5,8,2]=>[3,8,6,5,2,4,1,7]=>0000000=>0000000 [4,6,2,1,7,8,3,5]=>[5,3,7,8,2,1,6,4]=>0000000=>0000000 [6,3,2,1,4,8,5,7]=>[3,6,7,8,5,1,4,2]=>0000000=>0000000 [6,2,1,4,8,7,5,3]=>[3,7,8,5,1,2,4,6]=>0000000=>0000000 [8,7,6,5,1,3,2,4]=>[1,2,3,4,8,6,7,5]=>1111000=>0001111 [8,7,6,2,4,3,1,5]=>[1,2,3,7,5,6,8,4]=>1110000=>0000111 [7,6,8,1,5,4,3,2]=>[2,3,1,8,4,5,6,7]=>0010000=>0000100 [5,4,8,7,6,1,3,2]=>[4,5,1,2,3,8,6,7]=>0000100=>0010000 [6,5,8,1,7,4,3,2]=>[3,4,1,8,2,5,6,7]=>0000000=>0000000 [4,3,8,7,6,1,5,2]=>[5,6,1,2,3,8,4,7]=>0000000=>0000000 [3,7,2,6,5,4,1,8]=>[6,2,7,3,4,5,8,1]=>0000000=>0000000 [3,2,1,6,8,4,5,7]=>[6,7,8,3,1,5,4,2]=>0000000=>0000000 [6,2,5,1,7,4,8,3]=>[3,7,4,8,2,5,1,6]=>0000000=>0000000 [1,6,4,8,5,2,7,3]=>[8,3,5,1,4,7,2,6]=>0000000=>0000000 [7,4,1,5,3,8,2,6]=>[2,5,8,4,6,1,7,3]=>0000000=>0000000 [3,4,1,2,7,8,6,5]=>[6,5,8,7,2,1,3,4]=>0000000=>0000000 [5,4,8,3,7,1,6,2]=>[4,5,1,6,2,8,3,7]=>0000000=>0000000 [4,1,3,2,8,6,7,5]=>[5,8,6,7,1,3,2,4]=>0000000=>0000000 [3,1,2,4,7,6,8,5]=>[6,8,7,5,2,3,1,4]=>0000000=>0000000 [3,2,8,1,6,5,4,7]=>[6,7,1,8,3,4,5,2]=>0000000=>0000000 [8,2,1,5,6,4,3,7]=>[1,7,8,4,3,5,6,2]=>1000000=>0000001 [4,7,1,8,2,5,3,6]=>[5,2,8,1,7,4,6,3]=>0000000=>0000000 [6,7,8,1,4,5,3,2]=>[3,2,1,8,5,4,6,7]=>0010000=>0000100 [8,2,5,3,6,7,1,4]=>[1,7,4,6,3,2,8,5]=>1000000=>0000001 [3,8,5,2,7,6,1,4]=>[6,1,4,7,2,3,8,5]=>0000000=>0000000 [5,7,2,3,8,1,6,4]=>[4,2,7,6,1,8,3,5]=>0000000=>0000000 [3,5,2,6,1,8,7,4]=>[6,4,7,3,8,1,2,5]=>0000000=>0000000 [1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>0000000=>0000000 [5,4,2,6,8,7,1,3]=>[4,5,7,3,1,2,8,6]=>0000000=>0000000 [7,8,4,3,1,2,6,5]=>[2,1,5,6,8,7,3,4]=>0100000=>0000010 [6,4,1,2,8,7,3,5]=>[3,5,8,7,1,2,6,4]=>0000000=>0000000 [6,5,1,4,3,2,8,7]=>[3,4,8,5,6,7,1,2]=>0000000=>0000000 [4,3,8,5,2,1,6,7]=>[5,6,1,4,7,8,3,2]=>0000000=>0000000 [5,2,6,7,3,1,4,8]=>[4,7,3,2,6,8,5,1]=>0000000=>0000000 [2,4,3,8,6,1,5,7]=>[7,5,6,1,3,8,4,2]=>0000000=>0000000 [5,6,3,1,8,2,7,4]=>[4,3,6,8,1,7,2,5]=>0000000=>0000000 [6,5,4,3,1,2,8,7]=>[3,4,5,6,8,7,1,2]=>0000000=>0000000 [4,5,2,1,6,8,3,7]=>[5,4,7,8,3,1,6,2]=>0000000=>0000000 [5,6,2,8,1,7,4,3]=>[4,3,7,1,8,2,5,6]=>0000000=>0000000 [8,1,3,4,7,2,6,5]=>[1,8,6,5,2,7,3,4]=>1000000=>0000001 [2,1,4,5,8,6,3,7]=>[7,8,5,4,1,3,6,2]=>0000000=>0000000 [6,7,1,3,4,8,2,5]=>[3,2,8,6,5,1,7,4]=>0000000=>0000000 [1,8,3,4,7,6,2,5]=>[8,1,6,5,2,3,7,4]=>0000000=>0000000 [4,8,1,6,7,2,5,3]=>[5,1,8,3,2,7,4,6]=>0000000=>0000000 [1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>0000000=>0000000 [3,2,1,8,6,5,4,7]=>[6,7,8,1,3,4,5,2]=>0000000=>0000000 [6,7,2,1,8,4,3,5]=>[3,2,7,8,1,5,6,4]=>0000000=>0000000 [6,7,3,1,5,8,2,4]=>[3,2,6,8,4,1,7,5]=>0000000=>0000000 [2,4,1,6,8,5,3,7]=>[7,5,8,3,1,4,6,2]=>0000000=>0000000 [5,4,7,6,1,8,2,3]=>[4,5,2,3,8,1,7,6]=>0000000=>0000000 [3,5,6,8,4,7,2,1]=>[6,4,3,1,5,2,7,8]=>0000011=>1100000 [2,5,6,8,7,3,4,1]=>[7,4,3,1,2,6,5,8]=>0000001=>1000000 [8,4,5,7,6,3,2,1]=>[1,5,4,2,3,6,7,8]=>1000111=>1110001 [2,4,8,5,7,3,6,1]=>[7,5,1,4,2,6,3,8]=>0000001=>1000000 [5,3,7,8,4,6,2,1]=>[4,6,2,1,5,3,7,8]=>0000011=>1100000 [6,7,3,8,4,5,2,1]=>[3,2,6,1,5,4,7,8]=>0000011=>1100000 [3,2,8,7,5,4,6,1]=>[6,7,1,2,4,5,3,8]=>0000001=>1000000 [2,1,8,7,6,4,3,5]=>[7,8,1,2,3,5,6,4]=>0000000=>0000000 [6,7,1,8,5,4,2,3]=>[3,2,8,1,4,5,7,6]=>0000000=>0000000 [5,4,8,7,1,3,2,6]=>[4,5,1,2,8,6,7,3]=>0000000=>0000000 [3,7,6,8,1,5,2,4]=>[6,2,3,1,8,4,7,5]=>0000000=>0000000 [8,1,4,2,3,6,7,5]=>[1,8,5,7,6,3,2,4]=>1000000=>0000001 [2,8,6,1,7,3,5,4]=>[7,1,3,8,2,6,4,5]=>0000000=>0000000 [6,8,3,5,4,7,1,2]=>[3,1,6,4,5,2,8,7]=>0000010=>0100000 [1,7,6,3,5,8,2,4]=>[8,2,3,6,4,1,7,5]=>0000000=>0000000 [1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>0000000=>0000000 [1,4,6,3,7,2,8,5]=>[8,5,3,6,2,7,1,4]=>0000000=>0000000 [5,3,1,8,4,6,2,7]=>[4,6,8,1,5,3,7,2]=>0000000=>0000000 [8,4,1,6,3,2,5,7]=>[1,5,8,3,6,7,4,2]=>1000000=>0000001 [4,7,3,8,5,2,1,6]=>[5,2,6,1,4,7,8,3]=>0000000=>0000000 [8,1,2,4,6,7,5,3]=>[1,8,7,5,3,2,4,6]=>1000000=>0000001 [8,1,3,6,7,5,4,2]=>[1,8,6,3,2,4,5,7]=>1000000=>0000001 [6,4,2,8,5,1,3,7]=>[3,5,7,1,4,8,6,2]=>0000000=>0000000 [8,6,2,4,1,3,7,5]=>[1,3,7,5,8,6,2,4]=>1000000=>0000001 [4,7,5,1,8,6,3,2]=>[5,2,4,8,1,3,6,7]=>0000000=>0000000 [8,4,5,7,6,1,3,2]=>[1,5,4,2,3,8,6,7]=>1000100=>0010001 [6,7,5,1,4,2,8,3]=>[3,2,4,8,5,7,1,6]=>0000000=>0000000 [6,1,5,7,3,8,4,2]=>[3,8,4,2,6,1,5,7]=>0000000=>0000000 [6,2,4,1,7,5,8,3]=>[3,7,5,8,2,4,1,6]=>0000000=>0000000 [8,3,2,5,1,6,7,4]=>[1,6,7,4,8,3,2,5]=>1000000=>0000001 [3,1,5,4,2,8,6,7]=>[6,8,4,5,7,1,3,2]=>0000000=>0000000 [2,5,1,4,3,8,6,7]=>[7,4,8,5,6,1,3,2]=>0000000=>0000000 [3,7,2,1,5,8,6,4]=>[6,2,7,8,4,1,3,5]=>0000000=>0000000 [4,3,2,1,8,5,7,6]=>[5,6,7,8,1,4,2,3]=>0000000=>0000000 [6,3,2,8,1,5,7,4]=>[3,6,7,1,8,4,2,5]=>0000000=>0000000 [1,8,5,3,6,4,2,7]=>[8,1,4,6,3,5,7,2]=>0000000=>0000000 [8,1,6,2,7,4,3,5]=>[1,8,3,7,2,5,6,4]=>1000000=>0000001 [2,8,5,6,1,4,3,7]=>[7,1,4,3,8,5,6,2]=>0000000=>0000000 [3,7,5,8,2,1,4,6]=>[6,2,4,1,7,8,5,3]=>0000000=>0000000 [7,2,6,8,4,1,5,3]=>[2,7,3,1,5,8,4,6]=>0000000=>0000000 [5,4,8,3,2,1,7,6]=>[4,5,1,6,7,8,2,3]=>0000000=>0000000 [4,3,7,2,1,6,5,8]=>[5,6,2,7,8,3,4,1]=>0000000=>0000000 [2,4,7,1,3,6,5,8]=>[7,5,2,8,6,3,4,1]=>0000000=>0000000 [3,6,8,2,1,5,7,4]=>[6,3,1,7,8,4,2,5]=>0000000=>0000000 [5,1,7,8,2,4,6,3]=>[4,8,2,1,7,5,3,6]=>0000000=>0000000 [3,6,7,8,1,2,5,4]=>[6,3,2,1,8,7,4,5]=>0000000=>0000000 [4,6,7,2,8,1,3,5]=>[5,3,2,7,1,8,6,4]=>0000000=>0000000 [2,7,4,1,8,3,6,5]=>[7,2,5,8,1,6,3,4]=>0000000=>0000000 [3,5,1,8,4,2,7,6]=>[6,4,8,1,5,7,2,3]=>0000000=>0000000 [4,2,5,8,3,1,7,6]=>[5,7,4,1,6,8,2,3]=>0000000=>0000000 [7,2,5,8,6,3,1,4]=>[2,7,4,1,3,6,8,5]=>0000000=>0000000 [5,3,1,8,6,4,2,7]=>[4,6,8,1,3,5,7,2]=>0000000=>0000000 [4,8,2,1,7,5,3,6]=>[5,1,7,8,2,4,6,3]=>0000000=>0000000 [7,3,8,1,6,4,2,5]=>[2,6,1,8,3,5,7,4]=>0000000=>0000000 [3,8,7,2,1,6,4,5]=>[6,1,2,7,8,3,5,4]=>0000000=>0000000 [8,7,6,2,5,3,1,4]=>[1,2,3,7,4,6,8,5]=>1110000=>0000111 [3,8,2,7,6,5,4,1]=>[6,1,7,2,3,4,5,8]=>0000001=>1000000 [4,2,8,7,6,5,3,1]=>[5,7,1,2,3,4,6,8]=>0000001=>1000000 [8,3,1,7,6,5,4,2]=>[1,6,8,2,3,4,5,7]=>1000000=>0000001 [8,3,2,1,7,6,5,4]=>[1,6,7,8,2,3,4,5]=>1000000=>0000001 [2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]=>0000000=>0000000 [8,3,4,6,1,5,2,7]=>[1,6,5,3,8,4,7,2]=>1000000=>0000001 [2,8,3,1,6,7,5,4]=>[7,1,6,8,3,2,4,5]=>0000000=>0000000 [8,2,3,1,5,7,6,4]=>[1,7,6,8,4,2,3,5]=>1000000=>0000001 [8,4,1,5,2,3,7,6]=>[1,5,8,4,7,6,2,3]=>1000000=>0000001 [5,4,7,2,3,6,8,1]=>[4,5,2,7,6,3,1,8]=>0000001=>1000000 [6,3,2,1,8,4,7,5]=>[3,6,7,8,1,5,2,4]=>0000000=>0000000 [2,3,7,6,8,1,5,4]=>[7,6,2,3,1,8,4,5]=>0000000=>0000000 [6,7,5,4,2,1,8,3]=>[3,2,4,5,7,8,1,6]=>0000000=>0000000 [8,1,4,7,2,5,6,3]=>[1,8,5,2,7,4,3,6]=>1000000=>0000001 [4,2,1,5,8,7,6,3]=>[5,7,8,4,1,2,3,6]=>0000000=>0000000 [7,3,4,6,1,5,8,2]=>[2,6,5,3,8,4,1,7]=>0000000=>0000000 [1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000=>0000000 [7,8,2,1,6,3,5,4]=>[2,1,7,8,3,6,4,5]=>0100000=>0000010 [6,1,2,7,5,4,3,8]=>[3,8,7,2,4,5,6,1]=>0000000=>0000000 [1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000=>0000000 [2,6,8,5,3,1,7,4]=>[7,3,1,4,6,8,2,5]=>0000000=>0000000 [5,6,2,1,7,3,8,4]=>[4,3,7,8,2,6,1,5]=>0000000=>0000000 [6,4,2,1,5,3,7,8]=>[3,5,7,8,4,6,2,1]=>0000000=>0000000 [5,1,2,4,7,6,8,3]=>[4,8,7,5,2,3,1,6]=>0000000=>0000000 [1,6,4,2,8,7,3,5]=>[8,3,5,7,1,2,6,4]=>0000000=>0000000 [4,3,8,5,7,6,1,2]=>[5,6,1,4,2,3,8,7]=>0000010=>0100000 [3,8,5,6,1,7,4,2]=>[6,1,4,3,8,2,5,7]=>0000000=>0000000 [3,7,8,5,2,1,6,4]=>[6,2,1,4,7,8,3,5]=>0000000=>0000000 [4,2,7,8,1,3,6,5]=>[5,7,2,1,8,6,3,4]=>0000000=>0000000 [2,1,8,7,6,3,5,4]=>[7,8,1,2,3,6,4,5]=>0000000=>0000000 [2,8,1,7,4,6,5,3]=>[7,1,8,2,5,3,4,6]=>0000000=>0000000 [2,8,6,7,5,1,4,3]=>[7,1,3,2,4,8,5,6]=>0000000=>0000000 [5,4,1,6,3,2,8,7]=>[4,5,8,3,6,7,1,2]=>0000000=>0000000 [5,1,7,2,8,6,4,3]=>[4,8,2,7,1,3,5,6]=>0000000=>0000000 [2,1,7,6,3,8,5,4]=>[7,8,2,3,6,1,4,5]=>0000000=>0000000 [5,2,7,3,8,6,1,4]=>[4,7,2,6,1,3,8,5]=>0000000=>0000000 [2,1,5,8,4,3,7,6]=>[7,8,4,1,5,6,2,3]=>0000000=>0000000 [2,4,8,3,1,7,5,6]=>[7,5,1,6,8,2,4,3]=>0000000=>0000000 [4,8,3,2,1,7,6,5]=>[5,1,6,7,8,2,3,4]=>0000000=>0000000 [5,8,3,1,6,2,7,4]=>[4,1,6,8,3,7,2,5]=>0000000=>0000000 [5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>0000000=>0000000 [5,1,7,4,6,8,3,2]=>[4,8,2,5,3,1,6,7]=>0000000=>0000000 [6,8,4,7,1,5,3,2]=>[3,1,5,2,8,4,6,7]=>0000000=>0000000 [4,3,2,1,6,8,5,7]=>[5,6,7,8,3,1,4,2]=>0000000=>0000000 [2,4,1,3,8,7,6,5]=>[7,5,8,6,1,2,3,4]=>0000000=>0000000 [4,8,6,5,1,7,3,2]=>[5,1,3,4,8,2,6,7]=>0000000=>0000000 [5,4,8,7,2,6,1,3]=>[4,5,1,2,7,3,8,6]=>0000000=>0000000 [3,4,1,8,6,2,7,5]=>[6,5,8,1,3,7,2,4]=>0000000=>0000000 [2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>0000000=>0000000 [4,3,2,8,7,6,1,5]=>[5,6,7,1,2,3,8,4]=>0000000=>0000000 [3,2,8,7,5,4,1,6]=>[6,7,1,2,4,5,8,3]=>0000000=>0000000 [7,5,2,6,3,8,4,1]=>[2,4,7,3,6,1,5,8]=>0000001=>1000000 [7,3,6,5,2,8,4,1]=>[2,6,3,4,7,1,5,8]=>0000001=>1000000 [5,6,3,1,2,4,8,7]=>[4,3,6,8,7,5,1,2]=>0000000=>0000000 [8,7,5,3,1,4,2,6]=>[1,2,4,6,8,5,7,3]=>1100000=>0000011 [5,7,3,6,2,8,4,1]=>[4,2,6,3,7,1,5,8]=>0000001=>1000000 [3,8,4,1,5,7,2,6]=>[6,1,5,8,4,2,7,3]=>0000000=>0000000 [5,7,1,4,8,3,6,2]=>[4,2,8,5,1,6,3,7]=>0000000=>0000000 [4,5,3,6,8,2,7,1]=>[5,4,6,3,1,7,2,8]=>0000001=>1000000 [5,6,3,7,4,8,2,1]=>[4,3,6,2,5,1,7,8]=>0000011=>1100000 [2,6,7,4,5,8,3,1]=>[7,3,2,5,4,1,6,8]=>0000001=>1000000 [7,4,2,8,1,3,6,5]=>[2,5,7,1,8,6,3,4]=>0000000=>0000000 [7,1,8,5,4,2,3,6]=>[2,8,1,4,5,7,6,3]=>0000000=>0000000 [2,1,7,8,5,3,4,6]=>[7,8,2,1,4,6,5,3]=>0000000=>0000000 [4,1,8,2,6,5,3,7]=>[5,8,1,7,3,4,6,2]=>0000000=>0000000 [4,8,1,2,5,3,6,7]=>[5,1,8,7,4,6,3,2]=>0000000=>0000000 [8,1,2,4,3,5,6,7]=>[1,8,7,5,6,4,3,2]=>1000000=>0000001 [4,8,7,3,6,5,2,1]=>[5,1,2,6,3,4,7,8]=>0000011=>1100000 [7,5,8,3,6,2,1,4]=>[2,4,1,6,3,7,8,5]=>0000000=>0000000 [7,5,8,3,2,6,1,4]=>[2,4,1,6,7,3,8,5]=>0000000=>0000000 [7,5,8,3,2,1,6,4]=>[2,4,1,6,7,8,3,5]=>0000000=>0000000 [2,3,7,8,4,1,6,5]=>[7,6,2,1,5,8,3,4]=>0000000=>0000000 [2,1,7,5,8,4,6,3]=>[7,8,2,4,1,5,3,6]=>0000000=>0000000 [2,5,6,8,1,7,4,3]=>[7,4,3,1,8,2,5,6]=>0000000=>0000000 [4,2,8,6,1,7,3,5]=>[5,7,1,3,8,2,6,4]=>0000000=>0000000 [3,5,8,7,2,1,6,4]=>[6,4,1,2,7,8,3,5]=>0000000=>0000000 [8,1,3,2,6,5,4,7]=>[1,8,6,7,3,4,5,2]=>1000000=>0000001 [3,2,8,5,7,1,4,6]=>[6,7,1,4,2,8,5,3]=>0000000=>0000000 [8,5,3,6,2,4,1,7]=>[1,4,6,3,7,5,8,2]=>1000000=>0000001 [8,3,5,6,2,1,4,7]=>[1,6,4,3,7,8,5,2]=>1000000=>0000001 [5,4,7,6,8,2,3,1]=>[4,5,2,3,1,7,6,8]=>0000101=>1010000 [4,1,8,2,3,7,6,5]=>[5,8,1,7,6,2,3,4]=>0000000=>0000000 [3,7,4,5,8,2,1,6]=>[6,2,5,4,1,7,8,3]=>0000000=>0000000 [5,7,4,8,6,1,3,2]=>[4,2,5,1,3,8,6,7]=>0000100=>0010000 [5,4,1,6,8,2,7,3]=>[4,5,8,3,1,7,2,6]=>0000000=>0000000 [6,4,2,7,3,5,8,1]=>[3,5,7,2,6,4,1,8]=>0000001=>1000000 [7,5,8,2,1,4,6,3]=>[2,4,1,7,8,5,3,6]=>0000000=>0000000 [8,7,4,2,1,3,6,5]=>[1,2,5,7,8,6,3,4]=>1100000=>0000011 [6,8,2,3,1,7,5,4]=>[3,1,7,6,8,2,4,5]=>0000000=>0000000 [8,3,7,2,1,5,6,4]=>[1,6,2,7,8,4,3,5]=>1000000=>0000001 [5,1,2,3,6,8,7,4]=>[4,8,7,6,3,1,2,5]=>0000000=>0000000 [6,3,8,2,7,4,1,5]=>[3,6,1,7,2,5,8,4]=>0000000=>0000000 [5,7,8,2,1,4,3,6]=>[4,2,1,7,8,5,6,3]=>0000000=>0000000 [3,5,1,7,8,4,2,6]=>[6,4,8,2,1,5,7,3]=>0000000=>0000000 [8,3,1,6,7,4,2,5]=>[1,6,8,3,2,5,7,4]=>1000000=>0000001 [8,4,7,1,3,2,5,6]=>[1,5,2,8,6,7,4,3]=>1000000=>0000001 [8,4,7,2,1,3,5,6]=>[1,5,2,7,8,6,4,3]=>1000000=>0000001 [7,1,6,3,5,8,2,4]=>[2,8,3,6,4,1,7,5]=>0000000=>0000000 [3,8,5,1,6,7,2,4]=>[6,1,4,8,3,2,7,5]=>0000000=>0000000 [1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>0000000=>0000000 [2,6,8,5,1,4,7,3]=>[7,3,1,4,8,5,2,6]=>0000000=>0000000 [5,7,6,2,1,3,8,4]=>[4,2,3,7,8,6,1,5]=>0000000=>0000000 [2,5,8,7,4,1,6,3]=>[7,4,1,2,5,8,3,6]=>0000000=>0000000 [8,4,6,5,2,1,7,3]=>[1,5,3,4,7,8,2,6]=>1000000=>0000001 [4,2,1,5,6,7,8,3]=>[5,7,8,4,3,2,1,6]=>0000000=>0000000 [8,3,4,1,5,6,7,2]=>[1,6,5,8,4,3,2,7]=>1000000=>0000001 [3,5,2,4,7,6,1,8]=>[6,4,7,5,2,3,8,1]=>0000000=>0000000 [7,3,5,2,4,6,1,8]=>[2,6,4,7,5,3,8,1]=>0000000=>0000000 [3,5,2,7,4,6,1,8]=>[6,4,7,2,5,3,8,1]=>0000000=>0000000 [5,7,3,2,4,6,1,8]=>[4,2,6,7,5,3,8,1]=>0000000=>0000000 [5,7,3,2,4,1,6,8]=>[4,2,6,7,5,8,3,1]=>0000000=>0000000 [3,7,5,2,4,1,6,8]=>[6,2,4,7,5,8,3,1]=>0000000=>0000000 [5,1,3,2,7,4,6,8]=>[4,8,6,7,2,5,3,1]=>0000000=>0000000 [3,2,1,5,7,4,6,8]=>[6,7,8,4,2,5,3,1]=>0000000=>0000000 [5,7,3,1,2,4,6,8]=>[4,2,6,8,7,5,3,1]=>0000000=>0000000 [1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000=>0000000 [3,5,7,2,4,1,6,8]=>[6,4,2,7,5,8,3,1]=>0000000=>0000000 [5,3,7,2,4,1,6,8]=>[4,6,2,7,5,8,3,1]=>0000000=>0000000 [7,3,5,2,1,4,6,8]=>[2,6,4,7,8,5,3,1]=>0000000=>0000000 [3,5,2,4,1,7,6,8]=>[6,4,7,5,8,2,3,1]=>0000000=>0000000 [3,5,2,1,4,7,6,8]=>[6,4,7,8,5,2,3,1]=>0000000=>0000000 [3,2,5,1,7,4,6,8]=>[6,7,4,8,2,5,3,1]=>0000000=>0000000 [3,7,2,1,5,4,6,8]=>[6,2,7,8,4,5,3,1]=>0000000=>0000000 [1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000=>0000000 [5,8,7,1,2,6,4,3]=>[4,1,2,8,7,3,5,6]=>0000000=>0000000 [6,8,2,1,7,5,4,3]=>[3,1,7,8,2,4,5,6]=>0000000=>0000000 [2,8,7,4,3,6,1,5]=>[7,1,2,5,6,3,8,4]=>0000000=>0000000 [1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>0000000=>0000000 [7,6,4,8,5,1,2,3]=>[2,3,5,1,4,8,7,6]=>0000100=>0010000 [1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>0000000=>0000000 [1,6,7,5,3,4,8,2]=>[8,3,2,4,6,5,1,7]=>0000000=>0000000 [7,6,2,8,3,1,4,5]=>[2,3,7,1,6,8,5,4]=>0000000=>0000000 [2,6,3,7,5,1,8,4]=>[7,3,6,2,4,8,1,5]=>0000000=>0000000 [3,2,5,1,7,8,4,6]=>[6,7,4,8,2,1,5,3]=>0000000=>0000000 [5,2,3,4,8,6,1,7]=>[4,7,6,5,1,3,8,2]=>0000000=>0000000 [5,3,4,8,2,7,6,1]=>[4,6,5,1,7,2,3,8]=>0000001=>1000000 [6,3,5,4,8,2,7,1]=>[3,6,4,5,1,7,2,8]=>0000001=>1000000 [6,3,5,8,7,1,2,4]=>[3,6,4,1,2,8,7,5]=>0000000=>0000000 [5,8,4,1,3,7,6,2]=>[4,1,5,8,6,2,3,7]=>0000000=>0000000 [6,4,5,3,8,1,7,2]=>[3,5,4,6,1,8,2,7]=>0000000=>0000000 [6,4,3,8,5,7,2,1]=>[3,5,6,1,4,2,7,8]=>0000011=>1100000 [5,4,2,6,3,1,7,8]=>[4,5,7,3,6,8,2,1]=>0000000=>0000000 [4,5,1,3,6,2,8,7]=>[5,4,8,6,3,7,1,2]=>0000000=>0000000 [3,5,7,6,1,4,8,2]=>[6,4,2,3,8,5,1,7]=>0000000=>0000000 [3,4,7,6,8,1,2,5]=>[6,5,2,3,1,8,7,4]=>0000000=>0000000 [3,5,2,4,6,1,8,7]=>[6,4,7,5,3,8,1,2]=>0000000=>0000000 [1,8,4,3,7,5,6,2]=>[8,1,5,6,2,4,3,7]=>0000000=>0000000 [5,2,8,6,4,7,3,1]=>[4,7,1,3,5,2,6,8]=>0000001=>1000000 [1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>0000000=>0000000 [4,3,8,6,5,7,1,2]=>[5,6,1,3,4,2,8,7]=>0000010=>0100000 [1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>0000000=>0000000 [1,5,7,2,4,6,8,3]=>[8,4,2,7,5,3,1,6]=>0000000=>0000000 [7,6,3,8,4,2,1,5]=>[2,3,6,1,5,7,8,4]=>0000000=>0000000 [1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000=>0000000 [4,2,6,7,5,8,1,3]=>[5,7,3,2,4,1,8,6]=>0000000=>0000000 [3,8,4,7,6,1,5,2]=>[6,1,5,2,3,8,4,7]=>0000000=>0000000 [8,3,4,6,5,1,7,2]=>[1,6,5,3,4,8,2,7]=>1000000=>0000001 [2,1,8,3,6,7,4,5]=>[7,8,1,6,3,2,5,4]=>0000000=>0000000 [5,1,8,6,2,7,3,4]=>[4,8,1,3,7,2,6,5]=>0000000=>0000000 [5,7,1,4,2,6,3,8]=>[4,2,8,5,7,3,6,1]=>0000000=>0000000 [3,2,6,8,1,5,7,4]=>[6,7,3,1,8,4,2,5]=>0000000=>0000000 [8,2,6,1,5,4,7,3]=>[1,7,3,8,4,5,2,6]=>1000000=>0000001 [8,6,2,7,1,5,4,3]=>[1,3,7,2,8,4,5,6]=>1000000=>0000001 [7,8,5,4,1,6,3,2]=>[2,1,4,5,8,3,6,7]=>0100000=>0000010 [3,6,2,7,8,1,5,4]=>[6,3,7,2,1,8,4,5]=>0000000=>0000000 [4,5,6,8,3,1,7,2]=>[5,4,3,1,6,8,2,7]=>0000000=>0000000 [8,4,6,5,3,1,7,2]=>[1,5,3,4,6,8,2,7]=>1000000=>0000001 [5,2,8,1,3,4,7,6]=>[4,7,1,8,6,5,2,3]=>0000000=>0000000 [3,2,1,6,4,7,8,5]=>[6,7,8,3,5,2,1,4]=>0000000=>0000000 [5,1,3,4,2,7,8,6]=>[4,8,6,5,7,2,1,3]=>0000000=>0000000 [8,1,4,3,5,7,6,2]=>[1,8,5,6,4,2,3,7]=>1000000=>0000001 [3,2,6,1,5,7,8,4]=>[6,7,3,8,4,2,1,5]=>0000000=>0000000 [8,3,2,1,5,7,6,4]=>[1,6,7,8,4,2,3,5]=>1000000=>0000001 [3,8,6,1,4,7,5,2]=>[6,1,3,8,5,2,4,7]=>0000000=>0000000 [1,8,3,2,6,7,5,4]=>[8,1,6,7,3,2,4,5]=>0000000=>0000000 [2,7,6,5,8,3,1,4]=>[7,2,3,4,1,6,8,5]=>0000000=>0000000 [1,4,7,6,8,2,3,5]=>[8,5,2,3,1,7,6,4]=>0000000=>0000000 [3,5,7,4,8,1,2,6]=>[6,4,2,5,1,8,7,3]=>0000000=>0000000 [4,6,1,7,5,8,2,3]=>[5,3,8,2,4,1,7,6]=>0000000=>0000000 [3,2,7,1,6,8,4,5]=>[6,7,2,8,3,1,5,4]=>0000000=>0000000 [8,1,5,4,7,2,6,3]=>[1,8,4,5,2,7,3,6]=>1000000=>0000001 [8,2,5,3,7,1,6,4]=>[1,7,4,6,2,8,3,5]=>1000000=>0000001 [3,6,4,7,8,5,2,1]=>[6,3,5,2,1,4,7,8]=>0000011=>1100000 [8,3,5,7,6,4,2,1]=>[1,6,4,2,3,5,7,8]=>1000011=>1100001 [8,1,7,6,3,5,4,2]=>[1,8,2,3,6,4,5,7]=>1000000=>0000001 [4,8,6,7,5,3,2,1]=>[5,1,3,2,4,6,7,8]=>0000111=>1110000 [2,7,6,8,4,3,1,5]=>[7,2,3,1,5,6,8,4]=>0000000=>0000000 [8,5,1,4,7,3,6,2]=>[1,4,8,5,2,6,3,7]=>1000000=>0000001 [3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>0000000=>0000000 [4,3,7,2,6,8,1,5]=>[5,6,2,7,3,1,8,4]=>0000000=>0000000 [1,7,8,2,6,4,5,3]=>[8,2,1,7,3,5,4,6]=>0000000=>0000000 [8,7,3,2,1,5,6,4]=>[1,2,6,7,8,4,3,5]=>1100000=>0000011 [8,7,6,5,1,3,4,2]=>[1,2,3,4,8,6,5,7]=>1111000=>0001111 [8,7,6,1,4,5,3,2]=>[1,2,3,8,5,4,6,7]=>1110000=>0000111 [8,7,5,6,1,4,3,2]=>[1,2,4,3,8,5,6,7]=>1101000=>0001011 [6,8,7,1,5,4,3,2]=>[3,1,2,8,4,5,6,7]=>0010000=>0000100 [8,5,7,6,1,4,3,2]=>[1,4,2,3,8,5,6,7]=>1001000=>0001001 [6,7,8,1,5,4,3,2]=>[3,2,1,8,4,5,6,7]=>0010000=>0000100 [8,7,4,6,5,1,3,2]=>[1,2,5,3,4,8,6,7]=>1100100=>0010011 [8,5,6,7,1,4,3,2]=>[1,4,3,2,8,5,6,7]=>1001000=>0001001 [8,7,6,3,5,4,1,2]=>[1,2,3,6,4,5,8,7]=>1110010=>0100111 [8,7,4,5,6,1,3,2]=>[1,2,5,4,3,8,6,7]=>1100100=>0010011 [8,7,6,5,2,4,3,1]=>[1,2,3,4,7,5,6,8]=>1111001=>1001111 [7,5,8,1,6,4,3,2]=>[2,4,1,8,3,5,6,7]=>0000000=>0000000 [7,3,8,4,6,1,5,2]=>[2,6,1,5,3,8,4,7]=>0000000=>0000000 [4,8,5,7,1,6,3,2]=>[5,1,4,2,8,3,6,7]=>0000000=>0000000 [5,4,3,6,7,1,8,2]=>[4,5,6,3,2,8,1,7]=>0000000=>0000000 [5,4,7,3,6,1,8,2]=>[4,5,2,6,3,8,1,7]=>0000000=>0000000 [4,8,7,6,3,1,5,2]=>[5,1,2,3,6,8,4,7]=>0000000=>0000000 [6,8,5,7,3,2,1,4]=>[3,1,4,2,6,7,8,5]=>0001000=>0001000 [6,8,5,7,4,2,1,3]=>[3,1,4,2,5,7,8,6]=>0001100=>0011000 [2,1,8,7,6,3,4,5]=>[7,8,1,2,3,6,5,4]=>0000000=>0000000 [2,1,8,7,3,6,5,4]=>[7,8,1,2,6,3,4,5]=>0000000=>0000000 [6,8,7,2,5,1,4,3]=>[3,1,2,7,4,8,5,6]=>0010000=>0000100 [5,8,7,6,2,4,1,3]=>[4,1,2,3,7,5,8,6]=>0001000=>0001000 [5,8,7,2,6,4,1,3]=>[4,1,2,7,3,5,8,6]=>0000000=>0000000 [7,8,6,2,5,1,4,3]=>[2,1,3,7,4,8,5,6]=>0110000=>0000110 [6,8,7,5,2,4,1,3]=>[3,1,2,4,7,5,8,6]=>0011000=>0001100 [2,3,5,1,7,8,6,4]=>[7,6,4,8,2,1,3,5]=>0000000=>0000000 [2,3,5,7,8,4,6,1]=>[7,6,4,2,1,5,3,8]=>0000001=>1000000 [2,3,6,1,7,5,8,4]=>[7,6,3,8,2,4,1,5]=>0000000=>0000000 [2,4,1,6,7,5,8,3]=>[7,5,8,3,2,4,1,6]=>0000000=>0000000 [2,4,1,7,3,8,6,5]=>[7,5,8,2,6,1,3,4]=>0000000=>0000000 [2,4,1,7,8,5,6,3]=>[7,5,8,2,1,4,3,6]=>0000000=>0000000 [2,4,5,3,7,1,8,6]=>[7,5,4,6,2,8,1,3]=>0000000=>0000000 [2,4,6,8,3,5,1,7]=>[7,5,3,1,6,4,8,2]=>0000000=>0000000 [2,5,1,6,7,4,8,3]=>[7,4,8,3,2,5,1,6]=>0000000=>0000000 [2,5,6,7,8,4,1,3]=>[7,4,3,2,1,5,8,6]=>0000000=>0000000 [2,5,6,8,4,3,1,7]=>[7,4,3,1,5,6,8,2]=>0000000=>0000000 [2,6,1,7,4,5,8,3]=>[7,3,8,2,5,4,1,6]=>0000000=>0000000 [2,6,1,7,4,8,5,3]=>[7,3,8,2,5,1,4,6]=>0000000=>0000000 [5,8,7,3,2,1,4,6]=>[4,1,2,6,7,8,5,3]=>0000000=>0000000 [7,4,8,3,5,1,6,2]=>[2,5,1,6,4,8,3,7]=>0000000=>0000000 [7,6,3,8,2,4,1,5]=>[2,3,6,1,7,5,8,4]=>0000000=>0000000 [4,1,2,3,7,6,5,8]=>[5,8,7,6,2,3,4,1]=>0000000=>0000000 [6,8,4,7,2,5,3,1]=>[3,1,5,2,7,4,6,8]=>0000001=>1000000 [6,8,4,2,7,5,3,1]=>[3,1,5,7,2,4,6,8]=>0000001=>1000000 [6,8,4,7,2,1,5,3]=>[3,1,5,2,7,8,4,6]=>0000000=>0000000 [6,4,8,2,7,5,3,1]=>[3,5,1,7,2,4,6,8]=>0000001=>1000000 [6,8,4,2,7,1,5,3]=>[3,1,5,7,2,8,4,6]=>0000000=>0000000 [6,4,2,8,7,5,3,1]=>[3,5,7,1,2,4,6,8]=>0000001=>1000000 [6,8,4,2,1,7,5,3]=>[3,1,5,7,8,2,4,6]=>0000000=>0000000 [6,8,5,7,2,4,3,1]=>[3,1,4,2,7,5,6,8]=>0001001=>1001000 [6,8,4,7,3,2,1,5]=>[3,1,5,2,6,7,8,4]=>0000000=>0000000 [4,8,7,6,2,5,1,3]=>[5,1,2,3,7,4,8,6]=>0000000=>0000000 [5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]=>0000000=>0000000 [5,8,7,2,3,6,1,4]=>[4,1,2,7,6,3,8,5]=>0000000=>0000000 [5,8,7,4,3,1,6,2]=>[4,1,2,5,6,8,3,7]=>0000000=>0000000 [6,8,3,7,5,2,1,4]=>[3,1,6,2,4,7,8,5]=>0000000=>0000000 [6,8,1,7,3,2,5,4]=>[3,1,8,2,6,7,4,5]=>0000000=>0000000 [3,8,5,7,6,1,4,2]=>[6,1,4,2,3,8,5,7]=>0000000=>0000000 [2,8,4,7,6,5,1,3]=>[7,1,5,2,3,4,8,6]=>0000000=>0000000 [3,8,4,7,6,2,1,5]=>[6,1,5,2,3,7,8,4]=>0000000=>0000000 [4,8,5,7,1,2,6,3]=>[5,1,4,2,8,7,3,6]=>0000000=>0000000 [1,8,5,7,3,2,6,4]=>[8,1,4,2,6,7,3,5]=>0000000=>0000000 [1,8,4,7,3,2,6,5]=>[8,1,5,2,6,7,3,4]=>0000000=>0000000 [6,8,1,3,7,2,5,4]=>[3,1,8,6,2,7,4,5]=>0000000=>0000000 [2,8,1,3,7,6,5,4]=>[7,1,8,6,2,3,4,5]=>0000000=>0000000 [2,8,3,4,7,6,1,5]=>[7,1,6,5,2,3,8,4]=>0000000=>0000000 [6,8,5,1,3,7,4,2]=>[3,1,4,8,6,2,5,7]=>0000000=>0000000 [6,5,4,3,8,7,1,2]=>[3,4,5,6,1,2,8,7]=>0000010=>0100000 [3,1,6,7,4,8,5,2]=>[6,8,3,2,5,1,4,7]=>0000000=>0000000 [8,6,5,7,1,4,3,2]=>[1,3,4,2,8,5,6,7]=>1001000=>0001001 [8,6,3,7,5,4,2,1]=>[1,3,6,2,4,5,7,8]=>1000011=>1100001 [8,6,4,2,7,5,1,3]=>[1,3,5,7,2,4,8,6]=>1000000=>0000001 [6,4,8,2,7,5,1,3]=>[3,5,1,7,2,4,8,6]=>0000000=>0000000 [8,4,7,6,2,5,1,3]=>[1,5,2,3,7,4,8,6]=>1000000=>0000001 [3,4,5,8,7,6,1,2]=>[6,5,4,1,2,3,8,7]=>0000010=>0100000 [5,8,4,6,3,2,1,7]=>[4,1,5,3,6,7,8,2]=>0000000=>0000000 [7,4,8,6,3,2,1,5]=>[2,5,1,3,6,7,8,4]=>0000000=>0000000 [5,8,3,6,7,2,1,4]=>[4,1,6,3,2,7,8,5]=>0000000=>0000000 [6,4,7,8,2,5,1,3]=>[3,5,2,1,7,4,8,6]=>0000000=>0000000 [6,3,7,8,2,4,1,5]=>[3,6,2,1,7,5,8,4]=>0000000=>0000000 [5,3,7,6,2,4,1,8]=>[4,6,2,3,7,5,8,1]=>0000000=>0000000 [7,5,8,2,6,4,1,3]=>[2,4,1,7,3,5,8,6]=>0000000=>0000000 [7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>0000000=>0000000 [5,4,7,2,6,8,1,3]=>[4,5,2,7,3,1,8,6]=>0000000=>0000000 [5,4,3,2,6,8,1,7]=>[4,5,6,7,3,1,8,2]=>0000000=>0000000 [4,8,3,2,5,6,1,7]=>[5,1,6,7,4,3,8,2]=>0000000=>0000000 [7,6,2,8,5,4,1,3]=>[2,3,7,1,4,5,8,6]=>0000000=>0000000 [7,5,2,6,8,4,1,3]=>[2,4,7,3,1,5,8,6]=>0000000=>0000000 [6,4,2,7,5,8,1,3]=>[3,5,7,2,4,1,8,6]=>0000000=>0000000 [7,1,8,2,3,6,5,4]=>[2,8,1,7,6,3,4,5]=>0000000=>0000000 [7,3,8,4,6,2,1,5]=>[2,6,1,5,3,7,8,4]=>0000000=>0000000 [2,8,3,4,5,1,6,7]=>[7,1,6,5,4,8,3,2]=>0000000=>0000000 [5,3,1,7,2,4,8,6]=>[4,6,8,2,7,5,1,3]=>0000000=>0000000 [2,8,5,3,4,6,7,1]=>[7,1,4,6,5,3,2,8]=>0000001=>1000000 [4,5,3,1,2,6,8,7]=>[5,4,6,8,7,3,1,2]=>0000000=>0000000 [3,4,1,2,5,8,7,6]=>[6,5,8,7,4,1,2,3]=>0000000=>0000000 [6,5,3,2,1,8,7,4]=>[3,4,6,7,8,1,2,5]=>0000000=>0000000 [6,7,4,3,2,1,8,5]=>[3,2,5,6,7,8,1,4]=>0000000=>0000000 [4,5,2,1,8,7,6,3]=>[5,4,7,8,1,2,3,6]=>0000000=>0000000 [3,4,1,8,7,6,5,2]=>[6,5,8,1,2,3,4,7]=>0000000=>0000000 [8,1,2,4,5,6,7,3]=>[1,8,7,5,4,3,2,6]=>1000000=>0000001 [6,1,2,3,5,8,7,4]=>[3,8,7,6,4,1,2,5]=>0000000=>0000000 [5,1,2,4,8,6,7,3]=>[4,8,7,5,1,3,2,6]=>0000000=>0000000 [4,1,3,8,5,6,7,2]=>[5,8,6,1,4,3,2,7]=>0000000=>0000000 [7,1,2,3,5,8,6,4]=>[2,8,7,6,4,1,3,5]=>0000000=>0000000 [6,1,2,3,5,7,8,4]=>[3,8,7,6,4,2,1,5]=>0000000=>0000000 [8,6,3,5,2,7,4,1]=>[1,3,6,4,7,2,5,8]=>1000001=>1000001 [8,4,1,6,3,5,2,7]=>[1,5,8,3,6,4,7,2]=>1000000=>0000001 [7,5,2,8,6,3,4,1]=>[2,4,7,1,3,6,5,8]=>0000001=>1000000 [5,2,8,6,7,3,4,1]=>[4,7,1,3,2,6,5,8]=>0000001=>1000000 [5,2,8,3,4,1,6,7]=>[4,7,1,6,5,8,3,2]=>0000000=>0000000 [8,4,1,7,3,5,6,2]=>[1,5,8,2,6,4,3,7]=>1000000=>0000001 [7,4,1,2,6,8,5,3]=>[2,5,8,7,3,1,4,6]=>0000000=>0000000 [5,3,8,4,1,2,6,7]=>[4,6,1,5,8,7,3,2]=>0000000=>0000000 [8,6,3,5,7,4,1,2]=>[1,3,6,4,2,5,8,7]=>1000010=>0100001 [6,3,5,8,4,1,2,7]=>[3,6,4,1,5,8,7,2]=>0000000=>0000000 [7,3,5,6,8,4,1,2]=>[2,6,4,3,1,5,8,7]=>0000010=>0100000 [7,4,5,1,8,6,2,3]=>[2,5,4,8,1,3,7,6]=>0000000=>0000000 [6,2,3,4,8,5,1,7]=>[3,7,6,5,1,4,8,2]=>0000000=>0000000 [8,4,5,1,7,3,6,2]=>[1,5,4,8,2,6,3,7]=>1000000=>0000001 [7,4,2,6,8,5,3,1]=>[2,5,7,3,1,4,6,8]=>0000001=>1000000 [5,3,1,8,4,2,6,7]=>[4,6,8,1,5,7,3,2]=>0000000=>0000000 [7,2,3,4,6,8,5,1]=>[2,7,6,5,3,1,4,8]=>0000001=>1000000 [4,2,7,5,8,6,3,1]=>[5,7,2,4,1,3,6,8]=>0000001=>1000000 [7,4,2,8,5,6,3,1]=>[2,5,7,1,4,3,6,8]=>0000001=>1000000 [4,2,8,5,6,7,3,1]=>[5,7,1,4,3,2,6,8]=>0000001=>1000000 [7,4,5,8,6,1,2,3]=>[2,5,4,1,3,8,7,6]=>0000100=>0010000 [7,5,8,6,1,2,3,4]=>[2,4,1,3,8,7,6,5]=>0001000=>0001000 [6,4,8,5,2,3,1,7]=>[3,5,1,4,7,6,8,2]=>0000000=>0000000 [8,6,3,1,7,5,2,4]=>[1,3,6,8,2,4,7,5]=>1000000=>0000001 [8,5,2,7,4,6,3,1]=>[1,4,7,2,5,3,6,8]=>1000001=>1000001 [5,2,4,8,3,1,6,7]=>[4,7,5,1,6,8,3,2]=>0000000=>0000000 [7,4,8,5,6,2,3,1]=>[2,5,1,4,3,7,6,8]=>0000101=>1010000 [4,8,2,5,1,3,7,6]=>[5,1,7,4,8,6,2,3]=>0000000=>0000000 [3,5,4,6,1,7,8,2]=>[6,4,5,3,8,2,1,7]=>0000000=>0000000 [4,1,2,8,7,5,3,6]=>[5,8,7,1,2,4,6,3]=>0000000=>0000000 [3,1,7,6,8,2,4,5]=>[6,8,2,3,1,7,5,4]=>0000000=>0000000 [2,1,7,8,9,10,6,5,4,3]=>[9,10,4,3,2,1,5,6,7,8]=>000000000=>000000000 [1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>0000000=>0000000 [1,4,6,7,8,3,5,2]=>[8,5,3,2,1,6,4,7]=>0000000=>0000000 [5,1,2,3,8,7,6,4]=>[4,8,7,6,1,2,3,5]=>0000000=>0000000 [5,1,2,3,8,6,7,4]=>[4,8,7,6,1,3,2,5]=>0000000=>0000000 [2,8,5,3,1,4,6,7]=>[7,1,4,6,8,5,3,2]=>0000000=>0000000 [3,4,6,1,8,5,7,2]=>[6,5,3,8,1,4,2,7]=>0000000=>0000000 [3,4,8,1,5,6,7,2]=>[6,5,1,8,4,3,2,7]=>0000000=>0000000 [3,5,1,7,4,8,6,2]=>[6,4,8,2,5,1,3,7]=>0000000=>0000000 [3,7,1,4,8,6,5,2]=>[6,2,8,5,1,3,4,7]=>0000000=>0000000 [4,1,5,7,8,6,3,2]=>[5,8,4,2,1,3,6,7]=>0000000=>0000000 [4,1,5,8,3,6,7,2]=>[5,8,4,1,6,3,2,7]=>0000000=>0000000 [4,1,6,7,5,8,3,2]=>[5,8,3,2,4,1,6,7]=>0000000=>0000000 [4,1,7,8,5,6,3,2]=>[5,8,2,1,4,3,6,7]=>0000000=>0000000 [4,6,3,1,8,5,7,2]=>[5,3,6,8,1,4,2,7]=>0000000=>0000000 [4,6,7,8,5,1,3,2]=>[5,3,2,1,4,8,6,7]=>0000100=>0010000 [4,6,8,3,5,1,7,2]=>[5,3,1,6,4,8,2,7]=>0000000=>0000000 [4,7,3,1,8,6,5,2]=>[5,2,6,8,1,3,4,7]=>0000000=>0000000 [5,1,6,4,7,8,3,2]=>[4,8,3,5,2,1,6,7]=>0000000=>0000000 [5,1,6,4,8,3,7,2]=>[4,8,3,5,1,6,2,7]=>0000000=>0000000 [5,6,3,7,8,1,4,2]=>[4,3,6,2,1,8,5,7]=>0000000=>0000000 [5,6,7,8,4,1,3,2]=>[4,3,2,1,5,8,6,7]=>0001100=>0011000 [5,7,3,4,1,8,6,2]=>[4,2,6,5,8,1,3,7]=>0000000=>0000000 [5,7,8,4,3,6,1,2]=>[4,2,1,5,6,3,8,7]=>0000010=>0100000 [6,1,3,7,8,5,4,2]=>[3,8,6,2,1,4,5,7]=>0000000=>0000000 [6,1,8,4,5,3,7,2]=>[3,8,1,5,4,6,2,7]=>0000000=>0000000 [6,7,3,8,5,4,1,2]=>[3,2,6,1,4,5,8,7]=>0000010=>0100000 [8,5,1,4,2,3,6,7]=>[1,4,8,5,7,6,3,2]=>1000000=>0000001 [8,7,1,2,3,6,4,5]=>[1,2,8,7,6,3,5,4]=>1100000=>0000011 [2,5,8,6,1,7,3,4]=>[7,4,1,3,8,2,6,5]=>0000000=>0000000 [6,2,1,5,7,8,3,4]=>[3,7,8,4,2,1,6,5]=>0000000=>0000000 [4,2,8,5,3,1,6,7]=>[5,7,1,4,6,8,3,2]=>0000000=>0000000 [1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000=>0000000 [5,3,1,8,2,4,7,6]=>[4,6,8,1,7,5,2,3]=>0000000=>0000000 [3,4,1,7,2,6,8,5]=>[6,5,8,2,7,3,1,4]=>0000000=>0000000 [1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>0000000=>0000000 [1,3,5,8,6,2,7,4]=>[8,6,4,1,3,7,2,5]=>0000000=>0000000 [5,1,4,6,2,8,7,3]=>[4,8,5,3,7,1,2,6]=>0000000=>0000000 [2,5,6,1,8,7,3,4]=>[7,4,3,8,1,2,6,5]=>0000000=>0000000 [7,4,2,1,3,8,5,6]=>[2,5,7,8,6,1,4,3]=>0000000=>0000000 [7,6,2,1,4,8,3,5]=>[2,3,7,8,5,1,6,4]=>0000000=>0000000 [1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>0000000=>0000000 [1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000=>0000000 [3,4,5,1,8,2,7,6]=>[6,5,4,8,1,7,2,3]=>0000000=>0000000 [2,8,7,6,3,1,4,5]=>[7,1,2,3,6,8,5,4]=>0000000=>0000000 [7,6,2,3,4,8,1,5]=>[2,3,7,6,5,1,8,4]=>0000000=>0000000 [8,7,6,2,1,4,3,5]=>[1,2,3,7,8,5,6,4]=>1110000=>0000111 [1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>0000000=>0000000 [1,7,3,2,4,6,8,5]=>[8,2,6,7,5,3,1,4]=>0000000=>0000000 [8,7,3,1,4,2,6,5]=>[1,2,6,8,5,7,3,4]=>1100000=>0000011 [1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000=>0000000 [1,8,7,3,2,4,6,5]=>[8,1,2,6,7,5,3,4]=>0000000=>0000000 [8,4,1,2,5,3,7,6]=>[1,5,8,7,4,6,2,3]=>1000000=>0000001 [8,4,3,6,1,7,2,5]=>[1,5,6,3,8,2,7,4]=>1000000=>0000001 [8,3,1,5,6,2,7,4]=>[1,6,8,4,3,7,2,5]=>1000000=>0000001 [4,8,7,6,2,1,5,3]=>[5,1,2,3,7,8,4,6]=>0000000=>0000000 [4,8,7,2,1,6,5,3]=>[5,1,2,7,8,3,4,6]=>0000000=>0000000 [5,4,8,1,6,3,7,2]=>[4,5,1,8,3,6,2,7]=>0000000=>0000000 [2,1,5,8,3,7,4,6]=>[7,8,4,1,6,2,5,3]=>0000000=>0000000 [2,1,7,4,8,3,6,5]=>[7,8,2,5,1,6,3,4]=>0000000=>0000000 [5,1,4,8,2,7,3,6]=>[4,8,5,1,7,2,6,3]=>0000000=>0000000 [3,4,1,2,8,7,5,6]=>[6,5,8,7,1,2,4,3]=>0000000=>0000000 [7,3,4,6,8,1,2,5]=>[2,6,5,3,1,8,7,4]=>0000000=>0000000 [2,1,3,4,8,5,7,6]=>[7,8,6,5,1,4,2,3]=>0000000=>0000000 [6,2,5,1,7,3,8,4]=>[3,7,4,8,2,6,1,5]=>0000000=>0000000 [2,4,8,1,3,7,5,6]=>[7,5,1,8,6,2,4,3]=>0000000=>0000000 [2,1,3,7,4,8,6,5]=>[7,8,6,2,5,1,3,4]=>0000000=>0000000 [4,2,5,8,1,7,3,6]=>[5,7,4,1,8,2,6,3]=>0000000=>0000000 [5,1,2,3,8,4,7,6]=>[4,8,7,6,1,5,2,3]=>0000000=>0000000 [3,4,5,1,8,7,2,6]=>[6,5,4,8,1,2,7,3]=>0000000=>0000000 [4,1,2,3,8,7,5,6]=>[5,8,7,6,1,2,4,3]=>0000000=>0000000 [2,3,1,8,5,4,7,6]=>[7,6,8,1,4,5,2,3]=>0000000=>0000000 [5,3,1,8,7,2,4,6]=>[4,6,8,1,2,7,5,3]=>0000000=>0000000 [3,6,1,8,7,2,4,5]=>[6,3,8,1,2,7,5,4]=>0000000=>0000000 [6,3,5,7,1,2,8,4]=>[3,6,4,2,8,7,1,5]=>0000000=>0000000 [1,3,8,4,2,7,6,5]=>[8,6,1,5,7,2,3,4]=>0000000=>0000000 [1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000=>0000000 [4,5,1,8,7,2,3,6]=>[5,4,8,1,2,7,6,3]=>0000000=>0000000 [1,6,5,2,8,7,3,4]=>[8,3,4,7,1,2,6,5]=>0000000=>0000000 [3,1,5,2,8,6,7,4]=>[6,8,4,7,1,3,2,5]=>0000000=>0000000 [4,3,5,1,6,7,8,2]=>[5,6,4,8,3,2,1,7]=>0000000=>0000000 [7,8,6,5,2,1,4,3]=>[2,1,3,4,7,8,5,6]=>0111000=>0001110 [6,7,8,2,1,5,4,3]=>[3,2,1,7,8,4,5,6]=>0010000=>0000100 [8,7,5,6,2,1,4,3]=>[1,2,4,3,7,8,5,6]=>1101000=>0001011 [3,2,8,5,6,7,1,4]=>[6,7,1,4,3,2,8,5]=>0000000=>0000000 [4,2,5,1,8,7,3,6]=>[5,7,4,8,1,2,6,3]=>0000000=>0000000 [7,2,4,5,8,3,6,1]=>[2,7,5,4,1,6,3,8]=>0000001=>1000000 [3,2,5,8,1,6,7,4]=>[6,7,4,1,8,3,2,5]=>0000000=>0000000 [6,2,5,1,8,3,4,7]=>[3,7,4,8,1,6,5,2]=>0000000=>0000000 [3,8,1,6,2,4,7,5]=>[6,1,8,3,7,5,2,4]=>0000000=>0000000 [1,7,2,4,8,6,5,3]=>[8,2,7,5,1,3,4,6]=>0000000=>0000000 [1,7,2,4,5,8,6,3]=>[8,2,7,5,4,1,3,6]=>0000000=>0000000 [1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>0000000=>0000000 [6,8,2,3,4,5,7,1]=>[3,1,7,6,5,4,2,8]=>0000001=>1000000 [5,1,3,2,8,4,6,7]=>[4,8,6,7,1,5,3,2]=>0000000=>0000000 [4,2,5,1,3,6,8,7]=>[5,7,4,8,6,3,1,2]=>0000000=>0000000 [1,3,8,2,4,7,5,6]=>[8,6,1,7,5,2,4,3]=>0000000=>0000000 [5,4,1,2,3,8,6,7]=>[4,5,8,7,6,1,3,2]=>0000000=>0000000 [6,7,8,5,2,4,1,3]=>[3,2,1,4,7,5,8,6]=>0011000=>0001100 [3,4,5,7,2,1,6,8]=>[6,5,4,2,7,8,3,1]=>0000000=>0000000 [3,4,5,8,2,1,7,6]=>[6,5,4,1,7,8,2,3]=>0000000=>0000000 [3,4,6,8,1,5,7,2]=>[6,5,3,1,8,4,2,7]=>0000000=>0000000 [3,4,6,1,5,2,7,8]=>[6,5,3,8,4,7,2,1]=>0000000=>0000000 [3,5,2,6,7,1,4,8]=>[6,4,7,3,2,8,5,1]=>0000000=>0000000 [3,5,2,6,1,4,7,8]=>[6,4,7,3,8,5,2,1]=>0000000=>0000000 [3,5,6,8,4,2,1,7]=>[6,4,3,1,5,7,8,2]=>0000000=>0000000 [3,5,6,1,4,2,7,8]=>[6,4,3,8,5,7,2,1]=>0000000=>0000000 [3,5,8,1,4,6,7,2]=>[6,4,1,8,5,3,2,7]=>0000000=>0000000 [3,6,2,7,8,5,1,4]=>[6,3,7,2,1,4,8,5]=>0000000=>0000000 [3,6,2,7,8,1,4,5]=>[6,3,7,2,1,8,5,4]=>0000000=>0000000 [3,6,2,7,1,5,4,8]=>[6,3,7,2,8,4,5,1]=>0000000=>0000000 [3,6,2,1,5,4,7,8]=>[6,3,7,8,4,5,2,1]=>0000000=>0000000 [3,6,7,8,5,1,2,4]=>[6,3,2,1,4,8,7,5]=>0000000=>0000000 [3,6,7,1,5,4,2,8]=>[6,3,2,8,4,5,7,1]=>0000000=>0000000 [3,7,2,8,5,6,1,4]=>[6,2,7,1,4,3,8,5]=>0000000=>0000000 [3,7,2,1,5,6,4,8]=>[6,2,7,8,4,3,5,1]=>0000000=>0000000 [3,8,2,1,5,6,7,4]=>[6,1,7,8,4,3,2,5]=>0000000=>0000000 [8,1,4,5,3,6,7,2]=>[1,8,5,4,6,3,2,7]=>1000000=>0000001 [4,1,7,3,5,6,8,2]=>[5,8,2,6,4,3,1,7]=>0000000=>0000000 [3,5,2,4,1,6,7,8]=>[6,4,7,5,8,3,2,1]=>0000000=>0000000 [2,3,7,8,1,6,5,4]=>[7,6,2,1,8,3,4,5]=>0000000=>0000000 [2,7,6,1,4,8,3,5]=>[7,2,3,8,5,1,6,4]=>0000000=>0000000 [2,6,5,8,1,3,7,4]=>[7,3,4,1,8,6,2,5]=>0000000=>0000000 [6,4,7,5,8,2,3,1]=>[3,5,2,4,1,7,6,8]=>0000101=>1010000 [6,7,4,1,8,2,3,5]=>[3,2,5,8,1,7,6,4]=>0000000=>0000000 [5,2,6,1,4,8,3,7]=>[4,7,3,8,5,1,6,2]=>0000000=>0000000 [2,3,4,8,1,5,7,6]=>[7,6,5,1,8,4,2,3]=>0000000=>0000000 [2,7,4,6,5,8,3,1]=>[7,2,5,3,4,1,6,8]=>0000001=>1000000 [2,6,7,8,5,3,1,4]=>[7,3,2,1,4,6,8,5]=>0000000=>0000000 [2,6,4,8,5,7,3,1]=>[7,3,5,1,4,2,6,8]=>0000001=>1000000 [5,2,3,4,6,8,1,7]=>[4,7,6,5,3,1,8,2]=>0000000=>0000000 [7,2,3,4,8,1,6,5]=>[2,7,6,5,1,8,3,4]=>0000000=>0000000 [3,2,5,7,8,1,6,4]=>[6,7,4,2,1,8,3,5]=>0000000=>0000000 [5,7,1,6,2,8,4,3]=>[4,2,8,3,7,1,5,6]=>0000000=>0000000 [5,6,8,1,2,4,7,3]=>[4,3,1,8,7,5,2,6]=>0000000=>0000000 [7,4,1,5,8,2,6,3]=>[2,5,8,4,1,7,3,6]=>0000000=>0000000 [5,7,1,8,6,2,3,4]=>[4,2,8,1,3,7,6,5]=>0000000=>0000000 [5,7,8,1,6,2,4,3]=>[4,2,1,8,3,7,5,6]=>0000000=>0000000 [4,6,1,3,5,8,2,7]=>[5,3,8,6,4,1,7,2]=>0000000=>0000000 [4,8,1,3,5,6,7,2]=>[5,1,8,6,4,3,2,7]=>0000000=>0000000 [8,1,2,3,7,5,6,4]=>[1,8,7,6,2,4,3,5]=>1000000=>0000001 [2,1,8,3,7,5,6,4]=>[7,8,1,6,2,4,3,5]=>0000000=>0000000 [5,7,3,2,8,6,1,4]=>[4,2,6,7,1,3,8,5]=>0000000=>0000000 [5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>0000000=>0000000 [1,5,6,7,8,3,2,4]=>[8,4,3,2,1,6,7,5]=>0000000=>0000000 [1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>0000000=>0000000 [1,6,8,3,5,2,7,4]=>[8,3,1,6,4,7,2,5]=>0000000=>0000000 [1,7,3,2,8,6,5,4]=>[8,2,6,7,1,3,4,5]=>0000000=>0000000 [1,6,3,8,4,2,7,5]=>[8,3,6,1,5,7,2,4]=>0000000=>0000000 [1,7,8,4,3,6,2,5]=>[8,2,1,5,6,3,7,4]=>0000000=>0000000 [1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>0000000=>0000000 [4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>0000000=>0000000 [4,6,7,1,8,5,2,3]=>[5,3,2,8,1,4,7,6]=>0000000=>0000000 [4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>0000000=>0000000 [4,8,2,1,5,6,7,3]=>[5,1,7,8,4,3,2,6]=>0000000=>0000000 [1,2,8,4,5,3,7,6]=>[8,7,1,5,4,6,2,3]=>0000000=>0000000 [1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000=>0000000 [5,2,7,4,8,6,1,3]=>[4,7,2,5,1,3,8,6]=>0000000=>0000000 [5,2,7,8,4,6,1,3]=>[4,7,2,1,5,3,8,6]=>0000000=>0000000 [5,7,2,8,4,6,1,3]=>[4,2,7,1,5,3,8,6]=>0000000=>0000000 [6,2,1,7,8,5,4,3]=>[3,7,8,2,1,4,5,6]=>0000000=>0000000 [6,7,2,8,5,4,1,3]=>[3,2,7,1,4,5,8,6]=>0000000=>0000000 [8,2,1,4,5,6,7,3]=>[1,7,8,5,4,3,2,6]=>1000000=>0000001 [8,1,2,7,4,5,3,6]=>[1,8,7,2,5,4,6,3]=>1000000=>0000001 [4,1,8,2,7,5,3,6]=>[5,8,1,7,2,4,6,3]=>0000000=>0000000 [7,1,6,3,8,2,4,5]=>[2,8,3,6,1,7,5,4]=>0000000=>0000000 [6,1,5,8,2,3,4,7]=>[3,8,4,1,7,6,5,2]=>0000000=>0000000 [4,1,7,2,5,8,3,6]=>[5,8,2,7,4,1,6,3]=>0000000=>0000000 [8,1,6,3,4,7,2,5]=>[1,8,3,6,5,2,7,4]=>1000000=>0000001 [4,1,7,2,3,8,6,5]=>[5,8,2,7,6,1,3,4]=>0000000=>0000000 [4,1,8,2,5,6,7,3]=>[5,8,1,7,4,3,2,6]=>0000000=>0000000 [3,8,1,2,7,5,4,6]=>[6,1,8,7,2,4,5,3]=>0000000=>0000000 [6,5,2,8,1,3,7,4]=>[3,4,7,1,8,6,2,5]=>0000000=>0000000 [5,4,7,1,2,8,3,6]=>[4,5,2,8,7,1,6,3]=>0000000=>0000000 [5,4,8,1,2,6,3,7]=>[4,5,1,8,7,3,6,2]=>0000000=>0000000 [8,4,7,1,3,2,6,5]=>[1,5,2,8,6,7,3,4]=>1000000=>0000001 [8,5,7,3,1,2,6,4]=>[1,4,2,6,8,7,3,5]=>1000000=>0000001 [3,6,1,4,8,2,5,7]=>[6,3,8,5,1,7,4,2]=>0000000=>0000000 [3,6,1,2,7,8,5,4]=>[6,3,8,7,2,1,4,5]=>0000000=>0000000 [8,6,2,3,7,5,1,4]=>[1,3,7,6,2,4,8,5]=>1000000=>0000001 [7,6,8,1,4,5,2,3]=>[2,3,1,8,5,4,7,6]=>0010000=>0000100 [3,7,1,4,2,8,6,5]=>[6,2,8,5,7,1,3,4]=>0000000=>0000000 [5,4,8,7,2,1,6,3]=>[4,5,1,2,7,8,3,6]=>0000000=>0000000 [2,3,6,1,8,4,7,5]=>[7,6,3,8,1,5,2,4]=>0000000=>0000000 [2,5,1,7,3,6,8,4]=>[7,4,8,2,6,3,1,5]=>0000000=>0000000 [2,7,1,5,6,8,4,3]=>[7,2,8,4,3,1,5,6]=>0000000=>0000000 [4,5,6,2,1,7,8,3]=>[5,4,3,7,8,2,1,6]=>0000000=>0000000 [5,2,4,7,6,3,8,1]=>[4,7,5,2,3,6,1,8]=>0000001=>1000000 [8,7,6,1,4,3,5,2]=>[1,2,3,8,5,6,4,7]=>1110000=>0000111 [8,7,6,1,3,4,5,2]=>[1,2,3,8,6,5,4,7]=>1110000=>0000111 [8,1,6,5,7,4,3,2]=>[1,8,3,4,2,5,6,7]=>1000000=>0000001 [8,7,1,4,5,6,3,2]=>[1,2,8,5,4,3,6,7]=>1100000=>0000011 [8,1,5,6,7,4,3,2]=>[1,8,4,3,2,5,6,7]=>1000000=>0000001 [5,8,3,4,1,6,2,7]=>[4,1,6,5,8,3,7,2]=>0000000=>0000000 [4,2,6,1,7,8,5,3]=>[5,7,3,8,2,1,4,6]=>0000000=>0000000 [1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>0000000=>0000000 [4,5,2,7,8,6,1,3]=>[5,4,7,2,1,3,8,6]=>0000000=>0000000 [5,2,3,4,7,8,6,1]=>[4,7,6,5,2,1,3,8]=>0000001=>1000000 [3,5,2,7,4,6,8,1]=>[6,4,7,2,5,3,1,8]=>0000001=>1000000 [5,6,2,7,3,8,4,1]=>[4,3,7,2,6,1,5,8]=>0000001=>1000000 [3,5,2,8,4,6,7,1]=>[6,4,7,1,5,3,2,8]=>0000001=>1000000 [3,7,1,5,8,2,4,6]=>[6,2,8,4,1,7,5,3]=>0000000=>0000000 [5,1,3,8,2,4,6,7]=>[4,8,6,1,7,5,3,2]=>0000000=>0000000 [4,2,1,3,8,5,6,7]=>[5,7,8,6,1,4,3,2]=>0000000=>0000000 [1,8,7,6,3,4,5,2]=>[8,1,2,3,6,5,4,7]=>0000000=>0000000 [8,5,7,6,3,4,1,2]=>[1,4,2,3,6,5,8,7]=>1001010=>0101001 [8,7,5,3,6,1,4,2]=>[1,2,4,6,3,8,5,7]=>1100000=>0000011 [8,5,7,6,3,2,1,4]=>[1,4,2,3,6,7,8,5]=>1001000=>0001001 [8,7,5,3,1,6,4,2]=>[1,2,4,6,8,3,5,7]=>1100000=>0000011 [4,2,7,8,1,6,5,3]=>[5,7,2,1,8,3,4,6]=>0000000=>0000000 [6,8,1,4,5,3,7,2]=>[3,1,8,5,4,6,2,7]=>0000000=>0000000 [5,1,3,4,2,6,7,8]=>[4,8,6,5,7,3,2,1]=>0000000=>0000000 [2,3,4,8,1,6,7,5]=>[7,6,5,1,8,3,2,4]=>0000000=>0000000 [5,1,6,3,4,7,8,2]=>[4,8,3,6,5,2,1,7]=>0000000=>0000000 [2,1,7,5,3,8,6,4]=>[7,8,2,4,6,1,3,5]=>0000000=>0000000 [7,5,3,2,1,8,6,4]=>[2,4,6,7,8,1,3,5]=>0000000=>0000000 [3,2,1,6,4,5,7,8]=>[6,7,8,3,5,4,2,1]=>0000000=>0000000 [3,8,1,2,5,4,7,6]=>[6,1,8,7,4,5,2,3]=>0000000=>0000000 [6,4,8,7,5,3,2,1]=>[3,5,1,2,4,6,7,8]=>0000111=>1110000 [6,4,8,5,3,2,1,7]=>[3,5,1,4,6,7,8,2]=>0000000=>0000000 [7,4,5,8,6,3,2,1]=>[2,5,4,1,3,6,7,8]=>0000111=>1110000 [7,5,8,6,4,2,1,3]=>[2,4,1,3,5,7,8,6]=>0001100=>0011000 [7,4,2,1,6,8,5,3]=>[2,5,7,8,3,1,4,6]=>0000000=>0000000 [8,6,3,5,7,4,2,1]=>[1,3,6,4,2,5,7,8]=>1000011=>1100001 [6,4,8,7,5,2,1,3]=>[3,5,1,2,4,7,8,6]=>0000100=>0010000 [7,4,6,8,5,2,1,3]=>[2,5,3,1,4,7,8,6]=>0000100=>0010000 [7,4,5,2,1,8,6,3]=>[2,5,4,7,8,1,3,6]=>0000000=>0000000 [7,3,6,8,4,5,2,1]=>[2,6,3,1,5,4,7,8]=>0000011=>1100000 [7,4,8,5,6,2,1,3]=>[2,5,1,4,3,7,8,6]=>0000100=>0010000 [7,3,8,4,5,6,2,1]=>[2,6,1,5,4,3,7,8]=>0000011=>1100000 [1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>0000000=>0000000 [1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>0000000=>0000000 [1,8,2,5,7,6,4,3]=>[8,1,7,4,2,3,5,6]=>0000000=>0000000 [6,4,1,7,2,3,8,5]=>[3,5,8,2,7,6,1,4]=>0000000=>0000000 [7,1,6,2,3,8,4,5]=>[2,8,3,7,6,1,5,4]=>0000000=>0000000 [6,5,1,2,3,8,4,7]=>[3,4,8,7,6,1,5,2]=>0000000=>0000000 [1,8,5,2,3,7,4,6]=>[8,1,4,7,6,2,5,3]=>0000000=>0000000 [6,5,1,2,7,3,8,4]=>[3,4,8,7,2,6,1,5]=>0000000=>0000000 [7,4,1,5,2,8,3,6]=>[2,5,8,4,7,1,6,3]=>0000000=>0000000 [7,6,4,1,8,2,3,5]=>[2,3,5,8,1,7,6,4]=>0000000=>0000000 [5,7,1,2,6,8,3,4]=>[4,2,8,7,3,1,6,5]=>0000000=>0000000 [5,3,6,1,2,4,8,7]=>[4,6,3,8,7,5,1,2]=>0000000=>0000000 [7,5,4,1,8,2,3,6]=>[2,4,5,8,1,7,6,3]=>0000000=>0000000 [4,1,2,8,6,3,7,5]=>[5,8,7,1,3,6,2,4]=>0000000=>0000000 [6,5,3,1,8,2,4,7]=>[3,4,6,8,1,7,5,2]=>0000000=>0000000 [3,8,1,6,7,2,4,5]=>[6,1,8,3,2,7,5,4]=>0000000=>0000000 [3,1,8,7,2,6,4,5]=>[6,8,1,2,7,3,5,4]=>0000000=>0000000 [7,3,5,6,1,8,2,4]=>[2,6,4,3,8,1,7,5]=>0000000=>0000000 [3,1,8,2,5,6,7,4]=>[6,8,1,7,4,3,2,5]=>0000000=>0000000 [3,5,4,6,7,1,8,2]=>[6,4,5,3,2,8,1,7]=>0000000=>0000000 [5,3,6,7,8,1,2,4]=>[4,6,3,2,1,8,7,5]=>0000000=>0000000 [7,2,1,8,4,5,6,3]=>[2,7,8,1,5,4,3,6]=>0000000=>0000000 [4,2,7,1,3,8,6,5]=>[5,7,2,8,6,1,3,4]=>0000000=>0000000 [8,2,6,3,4,7,1,5]=>[1,7,3,6,5,2,8,4]=>1000000=>0000001 [6,2,5,8,1,3,7,4]=>[3,7,4,1,8,6,2,5]=>0000000=>0000000 [7,2,3,4,1,8,6,5]=>[2,7,6,5,8,1,3,4]=>0000000=>0000000 [5,2,1,3,6,7,8,4]=>[4,7,8,6,3,2,1,5]=>0000000=>0000000 [6,4,8,7,3,2,1,5]=>[3,5,1,2,6,7,8,4]=>0000000=>0000000 [5,4,8,7,3,2,1,6]=>[4,5,1,2,6,7,8,3]=>0000000=>0000000 [6,3,8,7,5,2,1,4]=>[3,6,1,2,4,7,8,5]=>0000000=>0000000 [6,5,2,8,7,4,1,3]=>[3,4,7,1,2,5,8,6]=>0000000=>0000000 [5,6,8,1,4,2,7,3]=>[4,3,1,8,5,7,2,6]=>0000000=>0000000 [5,6,3,1,4,2,7,8]=>[4,3,6,8,5,7,2,1]=>0000000=>0000000 [5,7,3,1,4,6,2,8]=>[4,2,6,8,5,3,7,1]=>0000000=>0000000 [5,8,1,4,3,6,7,2]=>[4,1,8,5,6,3,2,7]=>0000000=>0000000 [6,2,7,8,1,5,3,4]=>[3,7,2,1,8,4,6,5]=>0000000=>0000000 [6,2,3,7,1,5,4,8]=>[3,7,6,2,8,4,5,1]=>0000000=>0000000 [6,7,3,8,1,5,2,4]=>[3,2,6,1,8,4,7,5]=>0000000=>0000000 [6,7,8,1,5,4,2,3]=>[3,2,1,8,4,5,7,6]=>0010000=>0000100 [4,5,6,7,1,3,2,8]=>[5,4,3,2,8,6,7,1]=>0000000=>0000000 [6,7,1,4,5,3,2,8]=>[3,2,8,5,4,6,7,1]=>0000000=>0000000 [4,5,7,3,1,6,2,8]=>[5,4,2,6,8,3,7,1]=>0000000=>0000000 [4,5,7,8,2,1,6,3]=>[5,4,2,1,7,8,3,6]=>0000000=>0000000 [4,5,8,3,2,1,7,6]=>[5,4,1,6,7,8,2,3]=>0000000=>0000000 [7,2,3,1,5,6,4,8]=>[2,7,6,8,4,3,5,1]=>0000000=>0000000 [7,2,8,4,1,6,5,3]=>[2,7,1,5,8,3,4,6]=>0000000=>0000000 [4,6,7,3,8,1,2,5]=>[5,3,2,6,1,8,7,4]=>0000000=>0000000 [4,6,7,8,1,5,3,2]=>[5,3,2,1,8,4,6,7]=>0000000=>0000000 [4,7,3,8,5,1,6,2]=>[5,2,6,1,4,8,3,7]=>0000000=>0000000 [4,7,3,8,1,6,5,2]=>[5,2,6,1,8,3,4,7]=>0000000=>0000000 [4,8,3,2,1,6,7,5]=>[5,1,6,7,8,3,2,4]=>0000000=>0000000 [8,1,6,2,3,4,7,5]=>[1,8,3,7,6,5,2,4]=>1000000=>0000001 [7,1,2,4,5,8,3,6]=>[2,8,7,5,4,1,6,3]=>0000000=>0000000 [1,8,5,2,3,4,7,6]=>[8,1,4,7,6,5,2,3]=>0000000=>0000000 [7,1,5,2,3,6,8,4]=>[2,8,4,7,6,3,1,5]=>0000000=>0000000 [8,7,1,2,4,5,3,6]=>[1,2,8,7,5,4,6,3]=>1100000=>0000011 [1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>0000000=>0000000 [6,1,2,8,3,4,7,5]=>[3,8,7,1,6,5,2,4]=>0000000=>0000000 [3,7,1,4,8,2,5,6]=>[6,2,8,5,1,7,4,3]=>0000000=>0000000 [6,3,5,1,8,2,4,7]=>[3,6,4,8,1,7,5,2]=>0000000=>0000000 [7,6,1,3,4,8,2,5]=>[2,3,8,6,5,1,7,4]=>0000000=>0000000 [3,5,1,8,6,2,4,7]=>[6,4,8,1,3,7,5,2]=>0000000=>0000000 [1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>0000000=>0000000 [3,2,1,8,7,6,4,5]=>[6,7,8,1,2,3,5,4]=>0000000=>0000000 [3,2,1,8,7,5,4,6]=>[6,7,8,1,2,4,5,3]=>0000000=>0000000 [3,2,1,8,7,4,6,5]=>[6,7,8,1,2,5,3,4]=>0000000=>0000000 [3,2,1,8,7,4,5,6]=>[6,7,8,1,2,5,4,3]=>0000000=>0000000 [3,2,1,8,4,7,6,5]=>[6,7,8,1,5,2,3,4]=>0000000=>0000000 [3,2,8,7,6,1,5,4]=>[6,7,1,2,3,8,4,5]=>0000000=>0000000 [6,5,8,7,3,2,1,4]=>[3,4,1,2,6,7,8,5]=>0001000=>0001000 [4,5,3,8,6,2,7,1]=>[5,4,6,1,3,7,2,8]=>0000001=>1000000 [4,5,8,3,6,2,7,1]=>[5,4,1,6,3,7,2,8]=>0000001=>1000000 [4,6,2,7,1,8,5,3]=>[5,3,7,2,8,1,4,6]=>0000000=>0000000 [6,2,5,3,8,4,7,1]=>[3,7,4,6,1,5,2,8]=>0000001=>1000000 [4,7,6,8,3,2,1,5]=>[5,2,3,1,6,7,8,4]=>0000000=>0000000 [3,6,8,5,7,2,1,4]=>[6,3,1,4,2,7,8,5]=>0000000=>0000000 [3,5,6,8,7,2,1,4]=>[6,4,3,1,2,7,8,5]=>0000000=>0000000 [2,3,5,7,1,6,8,4]=>[7,6,4,2,8,3,1,5]=>0000000=>0000000 [2,3,5,8,1,6,7,4]=>[7,6,4,1,8,3,2,5]=>0000000=>0000000 [2,6,4,7,8,3,1,5]=>[7,3,5,2,1,6,8,4]=>0000000=>0000000 [2,4,6,1,5,8,3,7]=>[7,5,3,8,4,1,6,2]=>0000000=>0000000 [3,4,1,7,6,8,5,2]=>[6,5,8,2,3,1,4,7]=>0000000=>0000000 [3,7,1,5,6,8,4,2]=>[6,2,8,4,3,1,5,7]=>0000000=>0000000 [3,6,1,7,8,4,2,5]=>[6,3,8,2,1,5,7,4]=>0000000=>0000000 [3,5,1,7,2,6,8,4]=>[6,4,8,2,7,3,1,5]=>0000000=>0000000 [4,3,6,2,8,1,7,5]=>[5,6,3,7,1,8,2,4]=>0000000=>0000000 [6,3,4,7,8,1,2,5]=>[3,6,5,2,1,8,7,4]=>0000000=>0000000 [6,3,7,5,8,1,4,2]=>[3,6,2,4,1,8,5,7]=>0000000=>0000000 [4,5,7,2,1,8,3,6]=>[5,4,2,7,8,1,6,3]=>0000000=>0000000 [4,5,6,2,1,8,3,7]=>[5,4,3,7,8,1,6,2]=>0000000=>0000000 [3,6,1,7,2,5,8,4]=>[6,3,8,2,7,4,1,5]=>0000000=>0000000 [4,3,7,6,8,2,1,5]=>[5,6,2,3,1,7,8,4]=>0000000=>0000000 [6,3,7,8,2,5,1,4]=>[3,6,2,1,7,4,8,5]=>0000000=>0000000 [4,3,7,5,6,2,8,1]=>[5,6,2,4,3,7,1,8]=>0000001=>1000000 [4,3,5,7,8,2,6,1]=>[5,6,4,2,1,7,3,8]=>0000001=>1000000 [7,3,4,8,6,2,5,1]=>[2,6,5,1,3,7,4,8]=>0000001=>1000000 [4,7,8,5,6,2,1,3]=>[5,2,1,4,3,7,8,6]=>0000100=>0010000 [4,5,6,3,8,2,1,7]=>[5,4,3,6,1,7,8,2]=>0000000=>0000000 [5,1,2,7,8,6,4,3]=>[4,8,7,2,1,3,5,6]=>0000000=>0000000 [4,1,8,7,2,6,3,5]=>[5,8,1,2,7,3,6,4]=>0000000=>0000000 [4,1,5,8,7,3,2,6]=>[5,8,4,1,2,6,7,3]=>0000000=>0000000 [4,5,7,6,8,3,1,2]=>[5,4,2,3,1,6,8,7]=>0000110=>0110000 [8,2,1,7,4,6,3,5]=>[1,7,8,2,5,3,6,4]=>1000000=>0000001 [5,2,8,1,7,4,3,6]=>[4,7,1,8,2,5,6,3]=>0000000=>0000000 [4,2,5,7,3,1,8,6]=>[5,7,4,2,6,8,1,3]=>0000000=>0000000 [4,2,8,7,1,3,6,5]=>[5,7,1,2,8,6,3,4]=>0000000=>0000000 [4,2,5,8,3,6,7,1]=>[5,7,4,1,6,3,2,8]=>0000001=>1000000 [5,2,1,3,8,4,7,6]=>[4,7,8,6,1,5,2,3]=>0000000=>0000000 [8,2,1,7,3,5,4,6]=>[1,7,8,2,6,4,5,3]=>1000000=>0000001 [8,1,2,7,5,4,3,6]=>[1,8,7,2,4,5,6,3]=>1000000=>0000001 [6,1,2,8,3,7,4,5]=>[3,8,7,1,6,2,5,4]=>0000000=>0000000 [6,2,3,8,7,5,1,4]=>[3,7,6,1,2,4,8,5]=>0000000=>0000000 [7,2,3,4,1,5,8,6]=>[2,7,6,5,8,4,1,3]=>0000000=>0000000 [6,2,1,7,4,8,3,5]=>[3,7,8,2,5,1,6,4]=>0000000=>0000000 [3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>0000000=>0000000 [7,6,2,3,4,1,8,5]=>[2,3,7,6,5,8,1,4]=>0000000=>0000000 [8,5,7,3,1,6,2,4]=>[1,4,2,6,8,3,7,5]=>1000000=>0000001 [3,8,6,1,4,7,2,5]=>[6,1,3,8,5,2,7,4]=>0000000=>0000000 [8,6,2,3,1,5,7,4]=>[1,3,7,6,8,4,2,5]=>1000000=>0000001 [3,8,7,1,2,5,6,4]=>[6,1,2,8,7,4,3,5]=>0000000=>0000000 [3,4,8,2,5,6,7,1]=>[6,5,1,7,4,3,2,8]=>0000001=>1000000 [6,3,4,8,7,5,1,2]=>[3,6,5,1,2,4,8,7]=>0000010=>0100000 [8,3,5,7,6,1,4,2]=>[1,6,4,2,3,8,5,7]=>1000000=>0000001 [8,5,4,6,2,7,1,3]=>[1,4,5,3,7,2,8,6]=>1000000=>0000001 [4,8,5,6,2,7,1,3]=>[5,1,4,3,7,2,8,6]=>0000000=>0000000 [8,3,2,5,6,7,1,4]=>[1,6,7,4,3,2,8,5]=>1000000=>0000001 [7,3,2,6,8,5,4,1]=>[2,6,7,3,1,4,5,8]=>0000001=>1000000 [4,8,5,3,2,7,6,1]=>[5,1,4,6,7,2,3,8]=>0000001=>1000000 [7,3,5,6,8,1,4,2]=>[2,6,4,3,1,8,5,7]=>0000000=>0000000 [8,3,4,7,6,5,1,2]=>[1,6,5,2,3,4,8,7]=>1000010=>0100001 [7,4,8,3,6,5,2,1]=>[2,5,1,6,3,4,7,8]=>0000011=>1100000 [7,4,6,8,3,5,2,1]=>[2,5,3,1,6,4,7,8]=>0000011=>1100000 [2,4,5,7,6,8,1,3]=>[7,5,4,2,3,1,8,6]=>0000000=>0000000 [3,6,7,5,4,1,8,2]=>[6,3,2,4,5,8,1,7]=>0000000=>0000000 [4,3,1,2,6,7,8,5]=>[5,6,8,7,3,2,1,4]=>0000000=>0000000 [4,7,3,5,1,6,8,2]=>[5,2,6,4,8,3,1,7]=>0000000=>0000000 [7,4,6,5,8,3,2,1]=>[2,5,3,4,1,6,7,8]=>0000111=>1110000 [5,7,4,2,6,8,3,1]=>[4,2,5,7,3,1,6,8]=>0000001=>1000000 [2,5,8,6,7,3,1,4]=>[7,4,1,3,2,6,8,5]=>0000000=>0000000 [8,5,4,6,1,7,3,2]=>[1,4,5,3,8,2,6,7]=>1000000=>0000001 [3,7,4,8,6,2,5,1]=>[6,2,5,1,3,7,4,8]=>0000001=>1000000 [2,3,4,1,8,7,5,6]=>[7,6,5,8,1,2,4,3]=>0000000=>0000000 [4,2,5,8,6,3,7,1]=>[5,7,4,1,3,6,2,8]=>0000001=>1000000 [6,5,4,1,3,2,8,7]=>[3,4,5,8,6,7,1,2]=>0000000=>0000000 [6,5,4,2,1,3,8,7]=>[3,4,5,7,8,6,1,2]=>0000000=>0000000 [8,7,4,3,6,1,5,2]=>[1,2,5,6,3,8,4,7]=>1100000=>0000011 [7,8,4,2,1,5,6,3]=>[2,1,5,7,8,4,3,6]=>0100000=>0000010 [8,6,7,2,4,5,1,3]=>[1,3,2,7,5,4,8,6]=>1010000=>0000101 [6,8,2,7,3,5,4,1]=>[3,1,7,2,6,4,5,8]=>0000001=>1000000 [2,1,7,8,4,5,6,3]=>[7,8,2,1,5,4,3,6]=>0000000=>0000000 [7,5,8,1,3,4,6,2]=>[2,4,1,8,6,5,3,7]=>0000000=>0000000 [8,6,7,3,4,1,5,2]=>[1,3,2,6,5,8,4,7]=>1010000=>0000101 [8,6,2,7,1,3,5,4]=>[1,3,7,2,8,6,4,5]=>1000000=>0000001 [8,3,2,7,6,4,1,5]=>[1,6,7,2,3,5,8,4]=>1000000=>0000001 [8,5,4,1,3,7,6,2]=>[1,4,5,8,6,2,3,7]=>1000000=>0000001 [6,8,2,7,3,4,1,5]=>[3,1,7,2,6,5,8,4]=>0000000=>0000000 [2,5,1,4,3,7,6,8]=>[7,4,8,5,6,2,3,1]=>0000000=>0000000 [7,8,1,4,3,2,6,5]=>[2,1,8,5,6,7,3,4]=>0100000=>0000010 [1,6,7,4,3,2,8,5]=>[8,3,2,5,6,7,1,4]=>0000000=>0000000 [7,8,2,1,5,4,3,6]=>[2,1,7,8,4,5,6,3]=>0100000=>0000010 [2,1,5,7,8,4,3,6]=>[7,8,4,2,1,5,6,3]=>0000000=>0000000 [4,1,7,6,5,2,3,8]=>[5,8,2,3,4,7,6,1]=>0000000=>0000000 [7,3,8,1,2,5,6,4]=>[2,6,1,8,7,4,3,5]=>0000000=>0000000 [4,3,5,8,7,2,6,1]=>[5,6,4,1,2,7,3,8]=>0000001=>1000000 [4,6,5,2,3,7,8,1]=>[5,3,4,7,6,2,1,8]=>0000001=>1000000 [2,3,4,8,7,5,6,1]=>[7,6,5,1,2,4,3,8]=>0000001=>1000000 [5,6,7,2,4,8,1,3]=>[4,3,2,7,5,1,8,6]=>0000000=>0000000 [6,4,7,5,8,3,2,1]=>[3,5,2,4,1,6,7,8]=>0000111=>1110000 [1,8,5,6,7,3,4,2]=>[8,1,4,3,2,6,5,7]=>0000000=>0000000 [4,8,3,2,6,7,5,1]=>[5,1,6,7,3,2,4,8]=>0000001=>1000000 [3,4,8,7,6,1,5,2]=>[6,5,1,2,3,8,4,7]=>0000000=>0000000 [4,3,7,5,8,6,2,1]=>[5,6,2,4,1,3,7,8]=>0000011=>1100000 [5,4,6,2,3,1,8,7]=>[4,5,3,7,6,8,1,2]=>0000000=>0000000 [6,3,1,5,4,2,8,7]=>[3,6,8,4,5,7,1,2]=>0000000=>0000000 [6,4,5,3,2,1,8,7]=>[3,5,4,6,7,8,1,2]=>0000000=>0000000 [2,7,5,6,8,3,4,1]=>[7,2,4,3,1,6,5,8]=>0000001=>1000000 [2,1,7,6,8,4,5,3]=>[7,8,2,3,1,5,4,6]=>0000000=>0000000 [3,5,4,7,6,1,8,2]=>[6,4,5,2,3,8,1,7]=>0000000=>0000000 [2,1,8,5,3,7,6,4]=>[7,8,1,4,6,2,3,5]=>0000000=>0000000 [6,4,7,5,2,8,3,1]=>[3,5,2,4,7,1,6,8]=>0000001=>1000000 [5,7,3,6,8,2,4,1]=>[4,2,6,3,1,7,5,8]=>0000001=>1000000 [2,1,8,6,7,5,4,3]=>[7,8,1,3,2,4,5,6]=>0000000=>0000000 [5,1,3,2,6,4,7,8]=>[4,8,6,7,3,5,2,1]=>0000000=>0000000 [5,6,8,7,3,2,1,4]=>[4,3,1,2,6,7,8,5]=>0001000=>0001000 [7,4,1,3,2,6,8,5]=>[2,5,8,6,7,3,1,4]=>0000000=>0000000 [8,5,3,4,7,2,6,1]=>[1,4,6,5,2,7,3,8]=>1000001=>1000001 [7,6,5,8,1,2,4,3]=>[2,3,4,1,8,7,5,6]=>0001000=>0001000 [4,3,8,2,5,6,7,1]=>[5,6,1,7,4,3,2,8]=>0000001=>1000000 [5,4,8,2,3,6,7,1]=>[4,5,1,7,6,3,2,8]=>0000001=>1000000 [3,2,8,1,6,7,4,5]=>[6,7,1,8,3,2,5,4]=>0000000=>0000000 [7,2,6,3,8,1,5,4]=>[2,7,3,6,1,8,4,5]=>0000000=>0000000 [6,2,4,5,8,1,7,3]=>[3,7,5,4,1,8,2,6]=>0000000=>0000000 [6,3,4,5,8,2,7,1]=>[3,6,5,4,1,7,2,8]=>0000001=>1000000 [5,2,8,3,4,6,7,1]=>[4,7,1,6,5,3,2,8]=>0000001=>1000000 [7,1,4,6,8,3,5,2]=>[2,8,5,3,1,6,4,7]=>0000000=>0000000 [7,3,8,1,4,5,6,2]=>[2,6,1,8,5,4,3,7]=>0000000=>0000000 [7,3,4,5,8,1,6,2]=>[2,6,5,4,1,8,3,7]=>0000000=>0000000 [6,5,8,1,4,7,2,3]=>[3,4,1,8,5,2,7,6]=>0000000=>0000000 [7,4,8,1,5,6,2,3]=>[2,5,1,8,4,3,7,6]=>0000000=>0000000 [7,2,8,1,6,5,4,3]=>[2,7,1,8,3,4,5,6]=>0000000=>0000000 [1,8,6,3,7,4,5,2]=>[8,1,3,6,2,5,4,7]=>0000000=>0000000 [3,8,5,1,7,6,4,2]=>[6,1,4,8,2,3,5,7]=>0000000=>0000000 [2,8,1,3,5,6,7,4]=>[7,1,8,6,4,3,2,5]=>0000000=>0000000 [2,4,5,8,6,1,7,3]=>[7,5,4,1,3,8,2,6]=>0000000=>0000000 [2,4,8,7,5,6,3,1]=>[7,5,1,2,4,3,6,8]=>0000001=>1000000 [1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>0000000=>0000000 [8,2,3,6,7,5,4,1]=>[1,7,6,3,2,4,5,8]=>1000001=>1000001 [3,7,8,1,5,6,2,4]=>[6,2,1,8,4,3,7,5]=>0000000=>0000000 [4,1,3,7,6,8,5,2]=>[5,8,6,2,3,1,4,7]=>0000000=>0000000 [6,5,7,8,1,4,3,2]=>[3,4,2,1,8,5,6,7]=>0001000=>0001000 [2,8,3,1,7,5,4,6]=>[7,1,6,8,2,4,5,3]=>0000000=>0000000 [8,4,2,7,5,6,3,1]=>[1,5,7,2,4,3,6,8]=>1000001=>1000001 [4,1,8,6,5,2,7,3]=>[5,8,1,3,4,7,2,6]=>0000000=>0000000 [5,8,7,6,2,1,3,4]=>[4,1,2,3,7,8,6,5]=>0001000=>0001000 [4,8,1,7,5,6,3,2]=>[5,1,8,2,4,3,6,7]=>0000000=>0000000 [4,3,8,5,7,2,6,1]=>[5,6,1,4,2,7,3,8]=>0000001=>1000000 [6,4,8,3,7,5,2,1]=>[3,5,1,6,2,4,7,8]=>0000011=>1100000 [4,5,1,8,7,6,3,2]=>[5,4,8,1,2,3,6,7]=>0000000=>0000000 [3,5,8,7,1,6,4,2]=>[6,4,1,2,8,3,5,7]=>0000000=>0000000 [8,7,3,5,2,6,4,1]=>[1,2,6,4,7,3,5,8]=>1100001=>1000011 [8,7,3,4,1,6,5,2]=>[1,2,6,5,8,3,4,7]=>1100000=>0000011 [3,5,8,7,4,6,2,1]=>[6,4,1,2,5,3,7,8]=>0000011=>1100000 [4,7,5,6,2,3,8,1]=>[5,2,4,3,7,6,1,8]=>0000001=>1000000 [4,8,5,6,3,7,1,2]=>[5,1,4,3,6,2,8,7]=>0000010=>0100000 [8,3,5,7,6,2,4,1]=>[1,6,4,2,3,7,5,8]=>1000001=>1000001 [6,4,5,2,8,7,3,1]=>[3,5,4,7,1,2,6,8]=>0000001=>1000000 [6,4,2,7,8,5,3,1]=>[3,5,7,2,1,4,6,8]=>0000001=>1000000 [2,4,5,8,6,7,1,3]=>[7,5,4,1,3,2,8,6]=>0000000=>0000000 [3,5,6,7,8,2,4,1]=>[6,4,3,2,1,7,5,8]=>0000001=>1000000 [5,2,4,1,6,7,8,3]=>[4,7,5,8,3,2,1,6]=>0000000=>0000000 [4,5,3,6,1,7,8,2]=>[5,4,6,3,8,2,1,7]=>0000000=>0000000 [4,5,6,8,3,7,2,1]=>[5,4,3,1,6,2,7,8]=>0000011=>1100000 [8,7,4,3,6,5,1,2]=>[1,2,5,6,3,4,8,7]=>1100010=>0100011 [6,1,2,4,3,5,8,7]=>[3,8,7,5,6,4,1,2]=>0000000=>0000000 [6,1,2,5,4,3,8,7]=>[3,8,7,4,5,6,1,2]=>0000000=>0000000 [2,8,6,3,4,7,1,5]=>[7,1,3,6,5,2,8,4]=>0000000=>0000000 [8,1,2,3,6,5,4,7]=>[1,8,7,6,3,4,5,2]=>1000000=>0000001 [8,1,2,3,7,6,5,4]=>[1,8,7,6,2,3,4,5]=>1000000=>0000001 [2,8,1,6,7,5,3,4]=>[7,1,8,3,2,4,6,5]=>0000000=>0000000 [4,8,5,2,7,1,6,3]=>[5,1,4,7,2,8,3,6]=>0000000=>0000000 [3,7,8,4,6,2,1,5]=>[6,2,1,5,3,7,8,4]=>0000000=>0000000 [8,3,1,5,7,6,2,4]=>[1,6,8,4,2,3,7,5]=>1000000=>0000001 [8,6,2,1,4,7,3,5]=>[1,3,7,8,5,2,6,4]=>1000000=>0000001 [8,1,2,3,6,7,5,4]=>[1,8,7,6,3,2,4,5]=>1000000=>0000001 [7,8,4,5,1,2,6,3]=>[2,1,5,4,8,7,3,6]=>0100000=>0000010 [8,3,1,5,7,4,6,2]=>[1,6,8,4,2,5,3,7]=>1000000=>0000001 [5,7,3,2,1,6,4,8]=>[4,2,6,7,8,3,5,1]=>0000000=>0000000 [8,7,4,6,1,3,5,2]=>[1,2,5,3,8,6,4,7]=>1100000=>0000011 [6,8,1,3,2,4,5,7]=>[3,1,8,6,7,5,4,2]=>0000000=>0000000 [8,7,3,1,2,6,5,4]=>[1,2,6,8,7,3,4,5]=>1100000=>0000011 [8,7,3,2,1,6,4,5]=>[1,2,6,7,8,3,5,4]=>1100000=>0000011 [6,8,1,2,3,5,4,7]=>[3,1,8,7,6,4,5,2]=>0000000=>0000000 [5,2,8,1,4,3,7,6]=>[4,7,1,8,5,6,2,3]=>0000000=>0000000 [7,1,6,8,2,4,5,3]=>[2,8,3,1,7,5,4,6]=>0000000=>0000000 [5,8,3,1,4,6,2,7]=>[4,1,6,8,5,3,7,2]=>0000000=>0000000 [5,8,6,2,3,1,4,7]=>[4,1,3,7,6,8,5,2]=>0000000=>0000000 [5,8,7,3,2,4,6,1]=>[4,1,2,6,7,5,3,8]=>0000001=>1000000 [8,3,2,7,6,1,4,5]=>[1,6,7,2,3,8,5,4]=>1000000=>0000001 [5,2,4,1,8,7,3,6]=>[4,7,5,8,1,2,6,3]=>0000000=>0000000 [8,4,3,6,2,7,5,1]=>[1,5,6,3,7,2,4,8]=>1000001=>1000001 [5,8,4,3,2,7,6,1]=>[4,1,5,6,7,2,3,8]=>0000001=>1000000 [6,3,5,7,8,2,4,1]=>[3,6,4,2,1,7,5,8]=>0000001=>1000000 [3,5,6,8,7,2,4,1]=>[6,4,3,1,2,7,5,8]=>0000001=>1000000 [1,6,8,4,7,5,3,2]=>[8,3,1,5,2,4,6,7]=>0000000=>0000000 [6,7,3,5,4,1,8,2]=>[3,2,6,4,5,8,1,7]=>0000000=>0000000 [6,7,4,3,8,5,2,1]=>[3,2,5,6,1,4,7,8]=>0000011=>1100000 [2,6,8,5,4,7,3,1]=>[7,3,1,4,5,2,6,8]=>0000001=>1000000 [3,8,6,5,7,4,2,1]=>[6,1,3,4,2,5,7,8]=>0000011=>1100000 [6,4,7,8,3,5,2,1]=>[3,5,2,1,6,4,7,8]=>0000011=>1100000 [5,2,4,1,6,3,8,7]=>[4,7,5,8,3,6,1,2]=>0000000=>0000000 [4,3,7,2,6,1,8,5]=>[5,6,2,7,3,8,1,4]=>0000000=>0000000 [6,3,5,2,7,4,8,1]=>[3,6,4,7,2,5,1,8]=>0000001=>1000000 [4,5,7,2,6,1,8,3]=>[5,4,2,7,3,8,1,6]=>0000000=>0000000 [7,3,4,2,6,1,8,5]=>[2,6,5,7,3,8,1,4]=>0000000=>0000000 [2,1,7,4,6,3,8,5]=>[7,8,2,5,3,6,1,4]=>0000000=>0000000 [4,5,7,3,6,2,8,1]=>[5,4,2,6,3,7,1,8]=>0000001=>1000000 [2,5,7,4,6,1,8,3]=>[7,4,2,5,3,8,1,6]=>0000000=>0000000 [4,5,7,2,6,3,8,1]=>[5,4,2,7,3,6,1,8]=>0000001=>1000000 [7,2,4,3,6,1,8,5]=>[2,7,5,6,3,8,1,4]=>0000000=>0000000 [5,2,7,4,6,1,8,3]=>[4,7,2,5,3,8,1,6]=>0000000=>0000000 [6,7,4,8,3,5,2,1]=>[3,2,5,1,6,4,7,8]=>0000011=>1100000 [2,1,5,8,7,4,6,3]=>[7,8,4,1,2,5,3,6]=>0000000=>0000000 [6,4,3,8,7,2,5,1]=>[3,5,6,1,2,7,4,8]=>0000001=>1000000 [3,8,4,6,2,7,5,1]=>[6,1,5,3,7,2,4,8]=>0000001=>1000000 [2,1,6,5,3,8,7,4]=>[7,8,3,4,6,1,2,5]=>0000000=>0000000 [4,3,1,5,6,8,7,2]=>[5,6,8,4,3,1,2,7]=>0000000=>0000000 [1,4,3,8,5,2,7,6]=>[8,5,6,1,4,7,2,3]=>0000000=>0000000 [1,6,8,3,2,4,7,5]=>[8,3,1,6,7,5,2,4]=>0000000=>0000000 [7,1,3,8,4,6,5,2]=>[2,8,6,1,5,3,4,7]=>0000000=>0000000 [1,8,6,7,3,4,5,2]=>[8,1,3,2,6,5,4,7]=>0000000=>0000000 [3,5,2,6,1,4,8,7]=>[6,4,7,3,8,5,1,2]=>0000000=>0000000 [4,5,7,2,3,8,6,1]=>[5,4,2,7,6,1,3,8]=>0000001=>1000000 [4,5,7,2,3,8,1,6]=>[5,4,2,7,6,1,8,3]=>0000000=>0000000 [4,5,6,2,3,1,8,7]=>[5,4,3,7,6,8,1,2]=>0000000=>0000000 [4,5,6,2,1,3,8,7]=>[5,4,3,7,8,6,1,2]=>0000000=>0000000 [4,5,6,1,3,2,8,7]=>[5,4,3,8,6,7,1,2]=>0000000=>0000000 [4,5,6,3,1,2,8,7]=>[5,4,3,6,8,7,1,2]=>0000000=>0000000 [4,5,7,3,2,8,1,6]=>[5,4,2,6,7,1,8,3]=>0000000=>0000000 [4,6,7,3,8,2,5,1]=>[5,3,2,6,1,7,4,8]=>0000001=>1000000 [4,6,7,3,8,2,1,5]=>[5,3,2,6,1,7,8,4]=>0000000=>0000000 [4,5,7,3,1,8,2,6]=>[5,4,2,6,8,1,7,3]=>0000000=>0000000 [3,5,1,7,4,8,2,6]=>[6,4,8,2,5,1,7,3]=>0000000=>0000000 [2,1,5,7,4,8,3,6]=>[7,8,4,2,5,1,6,3]=>0000000=>0000000 [4,5,7,1,3,8,6,2]=>[5,4,2,8,6,1,3,7]=>0000000=>0000000 [4,6,7,3,8,1,5,2]=>[5,3,2,6,1,8,4,7]=>0000000=>0000000 [5,6,7,8,3,1,4,2]=>[4,3,2,1,6,8,5,7]=>0001000=>0001000 [4,6,7,1,8,3,5,2]=>[5,3,2,8,1,6,4,7]=>0000000=>0000000 [3,6,1,7,8,4,5,2]=>[6,3,8,2,1,5,4,7]=>0000000=>0000000 [2,1,6,7,8,4,5,3]=>[7,8,3,2,1,5,4,6]=>0000000=>0000000 [2,1,6,7,8,4,3,5]=>[7,8,3,2,1,5,6,4]=>0000000=>0000000 [4,6,7,1,8,3,2,5]=>[5,3,2,8,1,6,7,4]=>0000000=>0000000 [5,6,7,8,1,3,2,4]=>[4,3,2,1,8,6,7,5]=>0001000=>0001000 [4,6,7,2,8,3,5,1]=>[5,3,2,7,1,6,4,8]=>0000001=>1000000 [3,6,2,7,8,4,5,1]=>[6,3,7,2,1,5,4,8]=>0000001=>1000000 [3,6,2,7,8,4,1,5]=>[6,3,7,2,1,5,8,4]=>0000000=>0000000 [3,4,2,1,7,8,5,6]=>[6,5,7,8,2,1,4,3]=>0000000=>0000000 [4,6,7,2,8,5,3,1]=>[5,3,2,7,1,4,6,8]=>0000001=>1000000 [4,6,7,2,8,5,1,3]=>[5,3,2,7,1,4,8,6]=>0000000=>0000000 [4,5,7,1,2,8,6,3]=>[5,4,2,8,7,1,3,6]=>0000000=>0000000 [2,1,6,7,8,3,5,4]=>[7,8,3,2,1,6,4,5]=>0000000=>0000000 [3,6,1,7,8,2,5,4]=>[6,3,8,2,1,7,4,5]=>0000000=>0000000 [4,6,7,1,8,2,5,3]=>[5,3,2,8,1,7,4,6]=>0000000=>0000000 [5,6,7,8,1,2,4,3]=>[4,3,2,1,8,7,5,6]=>0001000=>0001000 [5,6,7,8,2,4,1,3]=>[4,3,2,1,7,5,8,6]=>0001000=>0001000 [5,6,7,8,2,4,3,1]=>[4,3,2,1,7,5,6,8]=>0001001=>1001000 [3,6,1,7,8,5,2,4]=>[6,3,8,2,1,4,7,5]=>0000000=>0000000 [2,1,6,7,8,5,3,4]=>[7,8,3,2,1,4,6,5]=>0000000=>0000000 [3,4,2,1,6,5,8,7,10,9]=>[8,7,9,10,5,6,3,4,1,2]=>000000000=>000000000 [3,5,2,6,4,1,8,7,10,9]=>[8,6,9,5,7,10,3,4,1,2]=>000000000=>000000000 [3,5,2,7,4,8,6,1,10,9]=>[8,6,9,4,7,3,5,10,1,2]=>000000000=>000000000 [2,1,5,6,4,3,8,7,10,9]=>[9,10,6,5,7,8,3,4,1,2]=>000000000=>000000000 [4,5,6,3,2,1,8,7,10,9]=>[7,6,5,8,9,10,3,4,1,2]=>000000000=>000000000 [4,5,7,3,2,8,6,1,10,9]=>[7,6,4,8,9,3,5,10,1,2]=>000000000=>000000000 [4,5,7,3,2,9,6,10,8,1]=>[7,6,4,8,9,2,5,1,3,10]=>000000001=>100000000 [2,1,5,7,4,8,6,3,10,9]=>[9,10,6,4,7,3,5,8,1,2]=>000000000=>000000000 [4,6,7,3,8,5,2,1,10,9]=>[7,5,4,8,3,6,9,10,1,2]=>000000000=>000000000 [4,6,7,3,9,5,2,10,8,1]=>[7,5,4,8,2,6,9,1,3,10]=>000000001=>100000000 [2,1,5,7,4,9,6,10,8,3]=>[9,10,6,4,7,2,5,1,3,8]=>000000000=>000000000 [2,1,4,3,7,8,6,5,10,9]=>[9,10,7,8,4,3,5,6,1,2]=>000000000=>000000000 [3,4,2,1,7,8,6,5,10,9]=>[8,7,9,10,4,3,5,6,1,2]=>000000000=>000000000 [3,6,2,7,8,5,4,1,10,9]=>[8,5,9,4,3,6,7,10,1,2]=>000000000=>000000000 [3,6,2,7,9,5,4,10,8,1]=>[8,5,9,4,2,6,7,1,3,10]=>000000001=>100000000 [2,1,6,7,8,5,4,3,10,9]=>[9,10,5,4,3,6,7,8,1,2]=>000000000=>000000000 [5,6,7,8,4,3,2,1,10,9]=>[6,5,4,3,7,8,9,10,1,2]=>000000000=>000000000 [5,6,7,9,4,3,2,10,8,1]=>[6,5,4,2,7,8,9,1,3,10]=>000000001=>100000000 [2,1,6,7,9,5,4,10,8,3]=>[9,10,5,4,2,6,7,1,3,8]=>000000000=>000000000 [5,6,8,9,4,3,10,7,2,1]=>[6,5,3,2,7,8,1,4,9,10]=>000000011=>110000000 [2,1,4,3,7,9,6,10,8,5]=>[9,10,7,8,4,2,5,1,3,6]=>000000000=>000000000 [3,4,2,1,7,9,6,10,8,5]=>[8,7,9,10,4,2,5,1,3,6]=>000000000=>000000000 [3,6,2,8,9,5,10,7,4,1]=>[8,5,9,3,2,6,1,4,7,10]=>000000001=>100000000 [2,1,6,8,9,5,10,7,4,3]=>[9,10,5,3,2,6,1,4,7,8]=>000000000=>000000000 [2,1,4,3,6,5,9,10,8,7]=>[9,10,7,8,5,6,2,1,3,4]=>000000000=>000000000 [3,4,2,1,6,5,9,10,8,7]=>[8,7,9,10,5,6,2,1,3,4]=>000000000=>000000000 [3,5,2,6,4,1,9,10,8,7]=>[8,6,9,5,7,10,2,1,3,4]=>000000000=>000000000 [3,5,2,8,4,9,10,7,6,1]=>[8,6,9,3,7,2,1,4,5,10]=>000000001=>100000000 [2,1,5,6,4,3,9,10,8,7]=>[9,10,6,5,7,8,2,1,3,4]=>000000000=>000000000 [4,5,6,3,2,1,9,10,8,7]=>[7,6,5,8,9,10,2,1,3,4]=>000000000=>000000000 [4,5,8,3,2,9,10,7,6,1]=>[7,6,3,8,9,2,1,4,5,10]=>000000001=>100000000 [2,1,5,8,4,9,10,7,6,3]=>[9,10,6,3,7,2,1,4,5,8]=>000000000=>000000000 [4,7,8,3,9,10,6,5,2,1]=>[7,4,3,8,2,1,5,6,9,10]=>000000011=>110000000 [2,1,4,3,8,9,10,7,6,5]=>[9,10,7,8,3,2,1,4,5,6]=>000000000=>000000000 [3,4,2,1,8,9,10,7,6,5]=>[8,7,9,10,3,2,1,4,5,6]=>000000000=>000000000 [3,7,2,8,9,10,6,5,4,1]=>[8,4,9,3,2,1,5,6,7,10]=>000000001=>100000000 [5,3,1,6,2,4,8,7]=>[4,6,8,3,7,5,1,2]=>0000000=>0000000 [7,3,1,5,2,8,4,6]=>[2,6,8,4,7,1,5,3]=>0000000=>0000000 [8,4,5,1,2,7,3,6]=>[1,5,4,8,7,2,6,3]=>1000000=>0000001 [7,4,5,1,2,8,3,6]=>[2,5,4,8,7,1,6,3]=>0000000=>0000000 [6,4,5,1,2,3,8,7]=>[3,5,4,8,7,6,1,2]=>0000000=>0000000 [5,4,6,1,2,3,8,7]=>[4,5,3,8,7,6,1,2]=>0000000=>0000000 [3,6,1,5,2,4,8,7]=>[6,3,8,4,7,5,1,2]=>0000000=>0000000 [4,6,5,1,2,3,8,7]=>[5,3,4,8,7,6,1,2]=>0000000=>0000000 [5,6,4,1,2,3,8,7]=>[4,3,5,8,7,6,1,2]=>0000000=>0000000 [7,5,4,1,2,8,3,6]=>[2,4,5,8,7,1,6,3]=>0000000=>0000000 [8,6,4,1,7,2,3,5]=>[1,3,5,8,2,7,6,4]=>1000000=>0000001 [5,7,4,1,2,8,3,6]=>[4,2,5,8,7,1,6,3]=>0000000=>0000000 [3,7,1,5,2,8,4,6]=>[6,2,8,4,7,1,5,3]=>0000000=>0000000 [2,1,7,5,3,8,4,6]=>[7,8,2,4,6,1,5,3]=>0000000=>0000000 [4,8,5,1,2,7,3,6]=>[5,1,4,8,7,2,6,3]=>0000000=>0000000 [6,8,4,1,7,2,3,5]=>[3,1,5,8,2,7,6,4]=>0000000=>0000000 [4,8,6,1,7,2,3,5]=>[5,1,3,8,2,7,6,4]=>0000000=>0000000 [2,1,8,6,7,3,4,5]=>[7,8,1,3,2,6,5,4]=>0000000=>0000000 [2,1,7,6,8,3,4,5]=>[7,8,2,3,1,6,5,4]=>0000000=>0000000 [4,7,6,1,8,2,3,5]=>[5,2,3,8,1,7,6,4]=>0000000=>0000000 [5,7,6,8,1,2,3,4]=>[4,2,3,1,8,7,6,5]=>0001000=>0001000 [6,4,7,1,8,2,3,5]=>[3,5,2,8,1,7,6,4]=>0000000=>0000000 [8,4,6,1,7,2,3,5]=>[1,5,3,8,2,7,6,4]=>1000000=>0000001 [8,3,1,6,7,2,4,5]=>[1,6,8,3,2,7,5,4]=>1000000=>0000001 [4,3,1,2,7,8,5,6]=>[5,6,8,7,2,1,4,3]=>0000000=>0000000 [8,4,7,1,6,2,3,5]=>[1,5,2,8,3,7,6,4]=>1000000=>0000001 [7,4,8,1,6,2,3,5]=>[2,5,1,8,3,7,6,4]=>0000000=>0000000 [4,5,8,1,2,7,3,6]=>[5,4,1,8,7,2,6,3]=>0000000=>0000000 [2,1,6,8,7,3,4,5]=>[7,8,3,1,2,6,5,4]=>0000000=>0000000 [4,6,8,1,7,2,3,5]=>[5,3,1,8,2,7,6,4]=>0000000=>0000000 [5,6,8,7,1,2,3,4]=>[4,3,1,2,8,7,6,5]=>0001000=>0001000 [8,5,7,6,1,2,3,4]=>[1,4,2,3,8,7,6,5]=>1001000=>0001001 [4,7,8,1,6,2,3,5]=>[5,2,1,8,3,7,6,4]=>0000000=>0000000 [3,7,1,8,6,2,4,5]=>[6,2,8,1,3,7,5,4]=>0000000=>0000000 [3,8,1,7,6,2,4,5]=>[6,1,8,2,3,7,5,4]=>0000000=>0000000 [4,8,7,1,6,2,3,5]=>[5,1,2,8,3,7,6,4]=>0000000=>0000000 [6,8,7,5,1,2,3,4]=>[3,1,2,4,8,7,6,5]=>0011000=>0001100 [6,4,7,3,8,5,1,2]=>[3,5,2,6,1,4,8,7]=>0000010=>0100000 [5,4,2,7,6,1,3,8]=>[4,5,7,2,3,8,6,1]=>0000000=>0000000 [5,4,2,7,6,1,8,3]=>[4,5,7,2,3,8,1,6]=>0000000=>0000000 [5,4,3,7,6,8,1,2]=>[4,5,6,2,3,1,8,7]=>0000010=>0100000 [5,4,3,7,8,6,1,2]=>[4,5,6,2,1,3,8,7]=>0000010=>0100000 [5,4,3,8,6,7,1,2]=>[4,5,6,1,3,2,8,7]=>0000010=>0100000 [5,4,3,6,8,7,1,2]=>[4,5,6,3,1,2,8,7]=>0000010=>0100000 [5,4,2,6,7,1,8,3]=>[4,5,7,3,2,8,1,6]=>0000000=>0000000 [5,3,2,6,1,7,4,8]=>[4,6,7,3,8,2,5,1]=>0000000=>0000000 [5,3,2,6,1,7,8,4]=>[4,6,7,3,8,2,1,5]=>0000000=>0000000 [5,3,2,6,1,8,7,4]=>[4,6,7,3,8,1,2,5]=>0000000=>0000000 [5,4,2,6,8,1,7,3]=>[4,5,7,3,1,8,2,6]=>0000000=>0000000 [6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>0000000=>0000000 [5,4,2,8,6,1,3,7]=>[4,5,7,1,3,8,6,2]=>0000000=>0000000 [5,3,2,6,1,8,4,7]=>[4,6,7,3,8,1,5,2]=>0000000=>0000000 [6,3,8,2,1,5,4,7]=>[3,6,1,7,8,4,5,2]=>0000000=>0000000 [7,8,3,2,1,5,4,6]=>[2,1,6,7,8,4,5,3]=>0100000=>0000010 [7,8,3,2,1,5,6,4]=>[2,1,6,7,8,4,3,5]=>0100000=>0000010 [6,3,8,2,1,5,7,4]=>[3,6,1,7,8,4,2,5]=>0000000=>0000000 [5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>0000000=>0000000 [5,4,2,7,8,1,6,3]=>[4,5,7,2,1,8,3,6]=>0000000=>0000000 [5,3,2,7,1,8,6,4]=>[4,6,7,2,8,1,3,5]=>0000000=>0000000 [5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>0000000=>0000000 [6,3,7,2,1,5,4,8]=>[3,6,2,7,8,4,5,1]=>0000000=>0000000 [6,3,7,2,1,5,8,4]=>[3,6,2,7,8,4,1,5]=>0000000=>0000000 [6,3,7,2,1,8,5,4]=>[3,6,2,7,8,1,4,5]=>0000000=>0000000 [6,5,7,8,2,1,4,3]=>[3,4,2,1,7,8,5,6]=>0001000=>0001000 [6,3,7,2,1,4,8,5]=>[3,6,2,7,8,5,1,4]=>0000000=>0000000 [5,3,2,7,1,4,8,6]=>[4,6,7,2,8,5,1,3]=>0000000=>0000000 [5,4,2,8,7,1,3,6]=>[4,5,7,1,2,8,6,3]=>0000000=>0000000 [7,8,4,2,6,1,3,5]=>[2,1,5,7,3,8,6,4]=>0100000=>0000010 [7,8,3,2,1,6,4,5]=>[2,1,6,7,8,3,5,4]=>0100000=>0000010 [6,3,8,2,1,7,4,5]=>[3,6,1,7,8,2,5,4]=>0000000=>0000000 [5,3,2,8,1,7,4,6]=>[4,6,7,1,8,2,5,3]=>0000000=>0000000 [4,3,2,1,8,7,5,6]=>[5,6,7,8,1,2,4,3]=>0000000=>0000000 [4,3,2,1,7,5,8,6]=>[5,6,7,8,2,4,1,3]=>0000000=>0000000 [4,3,2,1,7,5,6,8]=>[5,6,7,8,2,4,3,1]=>0000000=>0000000 [5,3,2,8,1,4,7,6]=>[4,6,7,1,8,5,2,3]=>0000000=>0000000 [6,3,8,2,1,4,7,5]=>[3,6,1,7,8,5,2,4]=>0000000=>0000000 [7,8,3,2,1,4,6,5]=>[2,1,6,7,8,5,3,4]=>0100000=>0000010 [4,3,2,1,8,5,6,7]=>[5,6,7,8,1,4,3,2]=>0000000=>0000000 [7,8,4,1,6,2,5,3]=>[2,1,5,8,3,7,4,6]=>0100000=>0000010 [1,6,8,3,2,7,5,4]=>[8,3,1,6,7,2,4,5]=>0000000=>0000000 [6,1,8,3,2,7,5,4]=>[3,8,1,6,7,2,4,5]=>0000000=>0000000 [7,8,1,3,2,6,5,4]=>[2,1,8,6,7,3,4,5]=>0100000=>0000010 [7,8,2,1,3,6,5,4]=>[2,1,7,8,6,3,4,5]=>0100000=>0000010 [7,8,1,2,3,6,5,4]=>[2,1,8,7,6,3,4,5]=>0100000=>0000010 [2,5,1,8,3,7,6,4]=>[7,4,8,1,6,2,3,5]=>0000000=>0000000 [1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>0000000=>0000000 [2,5,3,8,1,7,6,4]=>[7,4,6,1,8,2,3,5]=>0000000=>0000000 [2,5,4,8,7,1,6,3]=>[7,4,5,1,2,8,3,6]=>0000000=>0000000 [3,5,4,8,7,6,1,2]=>[6,4,5,1,2,3,8,7]=>0000010=>0100000 [5,3,4,8,7,6,1,2]=>[4,6,5,1,2,3,8,7]=>0000010=>0100000 [4,1,2,3,8,7,6,5]=>[5,8,7,6,1,2,3,4]=>0000000=>0000000 [1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>0000000=>0000000 [4,1,3,2,8,7,6,5]=>[5,8,6,7,1,2,3,4]=>0000000=>0000000 [1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>0000000=>0000000 [5,4,1,8,7,2,6,3]=>[4,5,8,1,2,7,3,6]=>0000000=>0000000 [5,6,8,7,2,1,4,3]=>[4,3,1,2,7,8,5,6]=>0001000=>0001000 [4,5,1,8,7,2,6,3]=>[5,4,8,1,2,7,3,6]=>0000000=>0000000 [1,3,5,8,2,7,6,4]=>[8,6,4,1,7,2,3,5]=>0000000=>0000000 [3,6,8,2,1,7,5,4]=>[6,3,1,7,8,2,4,5]=>0000000=>0000000 [4,5,3,8,7,6,1,2]=>[5,4,6,1,2,3,8,7]=>0000010=>0100000 [3,5,2,8,1,7,6,4]=>[6,4,7,1,8,2,3,5]=>0000000=>0000000 [3,1,4,2,8,7,6,5]=>[6,8,5,7,1,2,3,4]=>0000000=>0000000 [3,2,5,8,1,7,6,4]=>[6,7,4,1,8,2,3,5]=>0000000=>0000000 [4,3,5,8,7,6,1,2]=>[5,6,4,1,2,3,8,7]=>0000010=>0100000 [2,4,5,8,7,1,6,3]=>[7,5,4,1,2,8,3,6]=>0000000=>0000000 [2,3,5,8,1,7,6,4]=>[7,6,4,1,8,2,3,5]=>0000000=>0000000 [6,2,5,1,4,3,8,7]=>[3,7,4,8,5,6,1,2]=>0000000=>0000000 [5,2,6,1,4,3,8,7]=>[4,7,3,8,5,6,1,2]=>0000000=>0000000 [5,2,7,1,4,3,8,6]=>[4,7,2,8,5,6,1,3]=>0000000=>0000000 [6,2,8,1,4,3,7,5]=>[3,7,1,8,5,6,2,4]=>0000000=>0000000 [6,2,7,1,4,3,8,5]=>[3,7,2,8,5,6,1,4]=>0000000=>0000000 [7,2,6,1,4,3,8,5]=>[2,7,3,8,5,6,1,4]=>0000000=>0000000 [8,2,5,1,4,3,7,6]=>[1,7,4,8,5,6,2,3]=>1000000=>0000001 [8,1,4,3,7,2,6,5]=>[1,8,5,6,2,7,3,4]=>1000000=>0000001 [8,2,6,1,5,3,7,4]=>[1,7,3,8,4,6,2,5]=>1000000=>0000001 [7,2,6,1,5,3,8,4]=>[2,7,3,8,4,6,1,5]=>0000000=>0000000 [6,2,7,1,5,3,8,4]=>[3,7,2,8,4,6,1,5]=>0000000=>0000000 [6,2,8,1,5,3,7,4]=>[3,7,1,8,4,6,2,5]=>0000000=>0000000 [7,4,8,1,3,2,6,5]=>[2,5,1,8,6,7,3,4]=>0000000=>0000000 [8,3,7,1,4,2,6,5]=>[1,6,2,8,5,7,3,4]=>1000000=>0000001 [8,3,7,1,5,2,6,4]=>[1,6,2,8,4,7,3,5]=>1000000=>0000001 [7,3,8,1,5,2,6,4]=>[2,6,1,8,4,7,3,5]=>0000000=>0000000 [6,2,7,3,8,1,5,4]=>[3,7,2,6,1,8,4,5]=>0000000=>0000000 [6,2,8,3,7,1,5,4]=>[3,7,1,6,2,8,4,5]=>0000000=>0000000 [5,1,8,3,7,2,6,4]=>[4,8,1,6,2,7,3,5]=>0000000=>0000000 [4,1,8,3,7,2,6,5]=>[5,8,1,6,2,7,3,4]=>0000000=>0000000 [3,1,7,4,8,2,6,5]=>[6,8,2,5,1,7,3,4]=>0000000=>0000000 [4,1,7,3,8,2,6,5]=>[5,8,2,6,1,7,3,4]=>0000000=>0000000 [5,1,7,3,8,2,6,4]=>[4,8,2,6,1,7,3,5]=>0000000=>0000000 [7,3,8,2,6,1,5,4]=>[2,6,1,7,3,8,4,5]=>0000000=>0000000 [8,2,6,3,7,1,5,4]=>[1,7,3,6,2,8,4,5]=>1000000=>0000001 [3,4,2,6,8,1,5,7]=>[6,5,7,3,1,8,4,2]=>0000000=>0000000 [5,3,6,2,8,1,4,7]=>[4,6,3,7,1,8,5,2]=>0000000=>0000000 [7,4,2,5,8,3,6,1]=>[2,5,7,4,1,6,3,8]=>0000001=>1000000 [4,5,2,6,3,8,1,7]=>[5,4,7,3,6,1,8,2]=>0000000=>0000000 [3,5,6,1,4,8,2,7]=>[6,4,3,8,5,1,7,2]=>0000000=>0000000 [4,1,5,6,3,8,2,7]=>[5,8,4,3,6,1,7,2]=>0000000=>0000000 [4,5,6,3,2,8,1,7]=>[5,4,3,6,7,1,8,2]=>0000000=>0000000 [6,7,4,8,3,2,5,1]=>[3,2,5,1,6,7,4,8]=>0000001=>1000000 [6,7,4,8,3,2,1,5]=>[3,2,5,1,6,7,8,4]=>0000000=>0000000 [6,7,4,1,8,3,2,5]=>[3,2,5,8,1,6,7,4]=>0000000=>0000000 [5,3,7,8,1,4,2,6]=>[4,6,2,1,8,5,7,3]=>0000000=>0000000 [7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>0000000=>0000000 [4,5,1,7,8,3,6,2]=>[5,4,8,2,1,6,3,7]=>0000000=>0000000 [7,4,1,5,8,3,6,2]=>[2,5,8,4,1,6,3,7]=>0000000=>0000000 [6,7,4,3,8,1,5,2]=>[3,2,5,6,1,8,4,7]=>0000000=>0000000 [5,6,1,7,3,8,4,2]=>[4,3,8,2,6,1,5,7]=>0000000=>0000000 [5,1,6,7,3,8,4,2]=>[4,8,3,2,6,1,5,7]=>0000000=>0000000 [6,4,7,1,8,3,5,2]=>[3,5,2,8,1,6,4,7]=>0000000=>0000000 [6,7,8,3,1,4,5,2]=>[3,2,1,6,8,5,4,7]=>0010000=>0000100 [6,7,2,8,4,5,1,3]=>[3,2,7,1,5,4,8,6]=>0000000=>0000000 [6,7,2,8,4,1,3,5]=>[3,2,7,1,5,8,6,4]=>0000000=>0000000 [6,1,7,4,8,3,2,5]=>[3,8,2,5,1,6,7,4]=>0000000=>0000000 [5,1,6,7,3,2,8,4]=>[4,8,3,2,6,7,1,5]=>0000000=>0000000 [5,6,1,7,3,2,8,4]=>[4,3,8,2,6,7,1,5]=>0000000=>0000000 [5,6,7,3,2,1,8,4]=>[4,3,2,6,7,8,1,5]=>0000000=>0000000 [5,6,7,3,2,8,4,1]=>[4,3,2,6,7,1,5,8]=>0000001=>1000000 [7,4,2,5,1,8,3,6]=>[2,5,7,4,8,1,6,3]=>0000000=>0000000 [6,7,4,2,8,3,5,1]=>[3,2,5,7,1,6,4,8]=>0000001=>1000000 [3,6,7,2,8,4,5,1]=>[6,3,2,7,1,5,4,8]=>0000001=>1000000 [3,6,7,2,8,4,1,5]=>[6,3,2,7,1,5,8,4]=>0000000=>0000000 [3,6,7,2,1,8,4,5]=>[6,3,2,7,8,1,5,4]=>0000000=>0000000 [3,4,7,8,2,1,5,6]=>[6,5,2,1,7,8,4,3]=>0000000=>0000000 [3,7,8,1,4,6,2,5]=>[6,2,1,8,5,3,7,4]=>0000000=>0000000 [3,6,7,2,8,5,1,4]=>[6,3,2,7,1,4,8,5]=>0000000=>0000000 [3,6,7,8,5,2,1,4]=>[6,3,2,1,4,7,8,5]=>0000000=>0000000 [3,6,7,8,5,2,4,1]=>[6,3,2,1,4,7,5,8]=>0000001=>1000000 [6,4,7,8,2,5,3,1]=>[3,5,2,1,7,4,6,8]=>0000001=>1000000 [6,4,7,8,2,1,5,3]=>[3,5,2,1,7,8,4,6]=>0000000=>0000000 [5,3,7,8,1,6,2,4]=>[4,6,2,1,8,3,7,5]=>0000000=>0000000 [6,7,2,8,5,1,3,4]=>[3,2,7,1,4,8,6,5]=>0000000=>0000000 [6,4,1,7,8,2,5,3]=>[3,5,8,2,1,7,4,6]=>0000000=>0000000 [5,1,6,2,7,8,4,3]=>[4,8,3,7,2,1,5,6]=>0000000=>0000000 [5,6,2,7,1,8,4,3]=>[4,3,7,2,8,1,5,6]=>0000000=>0000000 [5,6,2,7,8,4,3,1]=>[4,3,7,2,1,5,6,8]=>0000001=>1000000 [5,6,7,2,8,4,3,1]=>[4,3,2,7,1,5,6,8]=>0000001=>1000000 [5,6,7,2,1,8,4,3]=>[4,3,2,7,8,1,5,6]=>0000000=>0000000 [5,6,1,7,2,8,4,3]=>[4,3,8,2,7,1,5,6]=>0000000=>0000000 [5,1,6,7,2,8,4,3]=>[4,8,3,2,7,1,5,6]=>0000000=>0000000 [6,7,8,3,5,1,4,2]=>[3,2,1,6,4,8,5,7]=>0010000=>0000100 [5,6,1,7,8,4,3,2]=>[4,3,8,2,1,5,6,7]=>0000000=>0000000 [5,6,7,1,8,4,3,2]=>[4,3,2,8,1,5,6,7]=>0000000=>0000000 [8,3,2,5,1,6,4,7]=>[1,6,7,4,8,3,5,2]=>1000000=>0000001 [5,3,2,7,4,1,8,6]=>[4,6,7,2,5,8,1,3]=>0000000=>0000000 [7,5,3,8,2,4,6,1]=>[2,4,6,1,7,5,3,8]=>0000001=>1000000 [8,2,4,5,6,3,1,7]=>[1,7,5,4,3,6,8,2]=>1000000=>0000001 [8,2,4,5,6,1,3,7]=>[1,7,5,4,3,8,6,2]=>1000000=>0000001 [8,5,3,6,4,1,2,7]=>[1,4,6,3,5,8,7,2]=>1000000=>0000001 [8,4,1,5,6,3,2,7]=>[1,5,8,4,3,6,7,2]=>1000000=>0000001 [8,1,4,5,6,3,2,7]=>[1,8,5,4,3,6,7,2]=>1000000=>0000001 [4,5,3,7,2,1,8,6]=>[5,4,6,2,7,8,1,3]=>0000000=>0000000 [7,4,5,8,3,2,6,1]=>[2,5,4,1,6,7,3,8]=>0000001=>1000000 [4,3,6,7,2,8,5,1]=>[5,6,3,2,7,1,4,8]=>0000001=>1000000 [4,3,6,7,2,8,1,5]=>[5,6,3,2,7,1,8,4]=>0000000=>0000000 [1,4,3,6,7,2,8,5]=>[8,5,6,3,2,7,1,4]=>0000000=>0000000 [4,5,3,7,1,8,2,6]=>[5,4,6,2,8,1,7,3]=>0000000=>0000000 [5,3,4,7,1,2,8,6]=>[4,6,5,2,8,7,1,3]=>0000000=>0000000 [7,4,5,8,3,6,1,2]=>[2,5,4,1,6,3,8,7]=>0000010=>0100000 [4,3,6,7,8,1,5,2]=>[5,6,3,2,1,8,4,7]=>0000000=>0000000 [3,5,6,7,8,4,1,2]=>[6,4,3,2,1,5,8,7]=>0000010=>0100000 [3,1,5,6,7,8,4,2]=>[6,8,4,3,2,1,5,7]=>0000000=>0000000 [4,6,1,7,8,3,5,2]=>[5,3,8,2,1,6,4,7]=>0000000=>0000000 [6,2,4,1,7,8,5,3]=>[3,7,5,8,2,1,4,6]=>0000000=>0000000 [2,6,7,1,4,8,3,5]=>[7,3,2,8,5,1,6,4]=>0000000=>0000000 [1,5,3,6,7,8,2,4]=>[8,4,6,3,2,1,7,5]=>0000000=>0000000 [4,5,2,7,8,1,3,6]=>[5,4,7,2,1,8,6,3]=>0000000=>0000000 [4,2,6,7,8,3,1,5]=>[5,7,3,2,1,6,8,4]=>0000000=>0000000 [4,2,6,7,8,3,5,1]=>[5,7,3,2,1,6,4,8]=>0000001=>1000000 [3,6,2,7,4,8,1,5]=>[6,3,7,2,5,1,8,4]=>0000000=>0000000 [3,7,4,2,1,5,8,6]=>[6,2,5,7,8,4,1,3]=>0000000=>0000000 [7,8,4,2,1,3,6,5]=>[2,1,5,7,8,6,3,4]=>0100000=>0000010 [6,3,2,7,1,8,5,4]=>[3,6,7,2,8,1,4,5]=>0000000=>0000000 [3,6,2,7,1,8,5,4]=>[6,3,7,2,8,1,4,5]=>0000000=>0000000 [6,7,3,8,2,5,4,1]=>[3,2,6,1,7,4,5,8]=>0000001=>1000000 [6,4,7,8,5,2,3,1]=>[3,5,2,1,4,7,6,8]=>0000101=>1010000 [2,6,4,7,8,1,5,3]=>[7,3,5,2,1,8,4,6]=>0000000=>0000000 [7,4,1,5,8,6,2,3]=>[2,5,8,4,1,3,7,6]=>0000000=>0000000 [7,5,8,2,1,6,3,4]=>[2,4,1,7,8,3,6,5]=>0000000=>0000000 [6,2,7,1,3,8,5,4]=>[3,7,2,8,6,1,4,5]=>0000000=>0000000 [6,3,1,7,8,2,5,4]=>[3,6,8,2,1,7,4,5]=>0000000=>0000000 [4,6,1,7,8,5,2,3]=>[5,3,8,2,1,4,7,6]=>0000000=>0000000 [5,1,2,6,7,8,4,3]=>[4,8,7,3,2,1,5,6]=>0000000=>0000000 [5,2,6,7,8,4,3,1]=>[4,7,3,2,1,5,6,8]=>0000001=>1000000 [1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>0000000=>0000000 [2,6,7,1,3,8,5,4]=>[7,3,2,8,6,1,4,5]=>0000000=>0000000 [6,7,3,8,5,1,4,2]=>[3,2,6,1,4,8,5,7]=>0000000=>0000000 [6,4,7,8,5,3,1,2]=>[3,5,2,1,4,6,8,7]=>0000110=>0110000 [3,1,2,6,5,8,7,4]=>[6,8,7,3,4,1,2,5]=>0000000=>0000000 [4,5,1,2,3,8,7,6]=>[5,4,8,7,6,1,2,3]=>0000000=>0000000 [4,6,1,2,3,8,7,5]=>[5,3,8,7,6,1,2,4]=>0000000=>0000000 [1,6,5,3,4,8,7,2]=>[8,3,4,6,5,1,2,7]=>0000000=>0000000 [6,1,5,2,4,8,7,3]=>[3,8,4,7,5,1,2,6]=>0000000=>0000000 [6,5,1,2,3,8,7,4]=>[3,4,8,7,6,1,2,5]=>0000000=>0000000 [6,4,1,2,3,8,7,5]=>[3,5,8,7,6,1,2,4]=>0000000=>0000000 [5,4,1,2,3,8,7,6]=>[4,5,8,7,6,1,2,3]=>0000000=>0000000 [5,4,1,2,7,3,6,8]=>[4,5,8,7,2,6,3,1]=>0000000=>0000000 [6,4,1,7,2,3,5,8]=>[3,5,8,2,7,6,4,1]=>0000000=>0000000 [6,4,1,8,2,3,5,7]=>[3,5,8,1,7,6,4,2]=>0000000=>0000000 [7,4,1,2,8,3,6,5]=>[2,5,8,7,1,6,3,4]=>0000000=>0000000 [7,5,1,2,8,3,6,4]=>[2,4,8,7,1,6,3,5]=>0000000=>0000000 [7,1,5,2,8,4,6,3]=>[2,8,4,7,1,5,3,6]=>0000000=>0000000 [1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>0000000=>0000000 [8,4,1,7,2,3,5,6]=>[1,5,8,2,7,6,4,3]=>1000000=>0000001 [7,4,1,6,2,3,5,8]=>[2,5,8,3,7,6,4,1]=>0000000=>0000000 [8,6,1,7,2,3,5,4]=>[1,3,8,2,7,6,4,5]=>1000000=>0000001 [8,1,6,7,2,4,5,3]=>[1,8,3,2,7,5,4,6]=>1000000=>0000001 [1,7,6,8,3,4,5,2]=>[8,2,3,1,6,5,4,7]=>0000000=>0000000 [7,6,1,8,2,3,5,4]=>[2,3,8,1,7,6,4,5]=>0000000=>0000000 [3,1,2,7,8,5,6,4]=>[6,8,7,2,1,4,3,5]=>0000000=>0000000 [3,1,8,7,2,4,5,6]=>[6,8,1,2,7,5,4,3]=>0000000=>0000000 [3,1,7,6,2,4,5,8]=>[6,8,2,3,7,5,4,1]=>0000000=>0000000 [4,7,1,6,2,3,5,8]=>[5,2,8,3,7,6,4,1]=>0000000=>0000000 [4,8,1,6,2,3,5,7]=>[5,1,8,3,7,6,4,2]=>0000000=>0000000 [5,1,8,2,7,4,6,3]=>[4,8,1,7,2,5,3,6]=>0000000=>0000000 [1,5,8,3,7,4,6,2]=>[8,4,1,6,2,5,3,7]=>0000000=>0000000 [1,6,8,7,3,4,5,2]=>[8,3,1,2,6,5,4,7]=>0000000=>0000000 [6,1,8,7,2,4,5,3]=>[3,8,1,2,7,5,4,6]=>0000000=>0000000 [6,8,1,7,2,3,5,4]=>[3,1,8,2,7,6,4,5]=>0000000=>0000000 [6,8,7,1,2,3,4,5]=>[3,1,2,8,7,6,5,4]=>0010000=>0000100 [5,8,6,1,2,3,4,7]=>[4,1,3,8,7,6,5,2]=>0000000=>0000000 [5,7,6,1,2,3,4,8]=>[4,2,3,8,7,6,5,1]=>0000000=>0000000 [7,8,1,6,2,3,5,4]=>[2,1,8,3,7,6,4,5]=>0100000=>0000010 [7,1,8,6,2,4,5,3]=>[2,8,1,3,7,5,4,6]=>0000000=>0000000 [1,7,8,6,3,4,5,2]=>[8,2,1,3,6,5,4,7]=>0000000=>0000000 [8,1,7,6,2,4,5,3]=>[1,8,2,3,7,5,4,6]=>1000000=>0000001 [8,7,1,6,2,3,5,4]=>[1,2,8,3,7,6,4,5]=>1100000=>0000011 [8,5,3,7,2,1,4,6]=>[1,4,6,2,7,8,5,3]=>1000000=>0000001 [6,8,1,4,5,7,3,2]=>[3,1,8,5,4,2,6,7]=>0000000=>0000000 [8,7,2,4,5,1,3,6]=>[1,2,7,5,4,8,6,3]=>1100000=>0000011 [2,6,1,4,5,3,8,7]=>[7,3,8,5,4,6,1,2]=>0000000=>0000000 [6,3,1,4,5,2,8,7]=>[3,6,8,5,4,7,1,2]=>0000000=>0000000 [3,1,6,4,5,2,8,7]=>[6,8,3,5,4,7,1,2]=>0000000=>0000000 [8,3,7,4,5,1,2,6]=>[1,6,2,5,4,8,7,3]=>1000000=>0000001 [5,8,7,4,2,6,3,1]=>[4,1,2,5,7,3,6,8]=>0000001=>1000000 [8,1,7,4,2,6,3,5]=>[1,8,2,5,7,3,6,4]=>1000000=>0000001 [3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>0000000=>0000000 [5,6,3,8,1,7,2,4]=>[4,3,6,1,8,2,7,5]=>0000000=>0000000 [7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>0000000=>0000000 [3,7,6,4,5,8,2,1]=>[6,2,3,5,4,1,7,8]=>0000011=>1100000 [8,5,7,4,1,6,3,2]=>[1,4,2,5,8,3,6,7]=>1000000=>0000001 [2,5,8,4,7,6,1,3]=>[7,4,1,5,2,3,8,6]=>0000000=>0000000 [3,8,4,2,5,6,7,1]=>[6,1,5,7,4,3,2,8]=>0000001=>1000000 [8,4,1,3,5,6,7,2]=>[1,5,8,6,4,3,2,7]=>1000000=>0000001 [7,5,8,4,3,6,1,2]=>[2,4,1,5,6,3,8,7]=>0000010=>0100000 [6,5,3,8,4,1,7,2]=>[3,4,6,1,5,8,2,7]=>0000000=>0000000 [2,1,4,8,3,6,7,5]=>[7,8,5,1,6,3,2,4]=>0000000=>0000000 [7,3,8,4,2,6,1,5]=>[2,6,1,5,7,3,8,4]=>0000000=>0000000 [8,3,1,2,5,6,7,4]=>[1,6,8,7,4,3,2,5]=>1000000=>0000001 [4,8,2,3,5,6,7,1]=>[5,1,7,6,4,3,2,8]=>0000001=>1000000 [2,7,8,4,5,3,1,6]=>[7,2,1,5,4,6,8,3]=>0000000=>0000000 [8,7,1,4,3,6,2,5]=>[1,2,8,5,6,3,7,4]=>1100000=>0000011 [5,6,3,8,4,2,7,1]=>[4,3,6,1,5,7,2,8]=>0000001=>1000000 [8,6,3,1,4,2,7,5]=>[1,3,6,8,5,7,2,4]=>1000000=>0000001 [8,6,3,5,1,2,7,4]=>[1,3,6,4,8,7,2,5]=>1000000=>0000001 [5,8,3,2,6,1,7,4]=>[4,1,6,7,3,8,2,5]=>0000000=>0000000 [3,5,8,4,7,6,2,1]=>[6,4,1,5,2,3,7,8]=>0000011=>1100000 [5,8,2,4,7,6,1,3]=>[4,1,7,5,2,3,8,6]=>0000000=>0000000 [7,1,6,4,5,8,2,3]=>[2,8,3,5,4,1,7,6]=>0000000=>0000000 [2,1,8,5,3,6,7,4]=>[7,8,1,4,6,3,2,5]=>0000000=>0000000 [6,8,3,5,2,1,7,4]=>[3,1,6,4,7,8,2,5]=>0000000=>0000000 [7,8,5,4,2,6,1,3]=>[2,1,4,5,7,3,8,6]=>0100000=>0000010 [4,8,1,2,5,6,7,3]=>[5,1,8,7,4,3,2,6]=>0000000=>0000000 [3,4,2,8,5,6,7,1]=>[6,5,7,1,4,3,2,8]=>0000001=>1000000 [2,4,1,8,5,6,7,3]=>[7,5,8,1,4,3,2,6]=>0000000=>0000000 [8,4,2,1,5,6,7,3]=>[1,5,7,8,4,3,2,6]=>1000000=>0000001 [7,5,2,4,8,6,1,3]=>[2,4,7,5,1,3,8,6]=>0000000=>0000000 [2,1,5,3,8,6,7,4]=>[7,8,4,6,1,3,2,5]=>0000000=>0000000 [3,1,4,8,5,6,7,2]=>[6,8,5,1,4,3,2,7]=>0000000=>0000000 [6,5,3,7,2,8,4,1]=>[3,4,6,2,7,1,5,8]=>0000001=>1000000 [6,7,2,4,5,8,3,1]=>[3,2,7,5,4,1,6,8]=>0000001=>1000000 [2,5,7,4,8,6,3,1]=>[7,4,2,5,1,3,6,8]=>0000001=>1000000 [5,6,3,7,1,8,4,2]=>[4,3,6,2,8,1,5,7]=>0000000=>0000000 [3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>0000000=>0000000 [3,7,5,4,8,6,2,1]=>[6,2,4,5,1,3,7,8]=>0000011=>1100000 [4,6,3,5,8,2,7,1]=>[5,3,6,4,1,7,2,8]=>0000001=>1000000 [3,7,8,4,1,6,2,5]=>[6,2,1,5,8,3,7,4]=>0000000=>0000000 [5,4,2,3,7,6,1,8]=>[4,5,7,6,2,3,8,1]=>0000000=>0000000 [3,2,7,6,4,5,1,8]=>[6,7,2,3,5,4,8,1]=>0000000=>0000000 [4,7,2,6,3,5,1,8]=>[5,2,7,3,6,4,8,1]=>0000000=>0000000 [5,7,6,2,3,4,1,8]=>[4,2,3,7,6,5,8,1]=>0000000=>0000000 [1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>0000000=>0000000 [6,8,5,2,3,1,4,7]=>[3,1,4,7,6,8,5,2]=>0000000=>0000000 [4,8,2,6,3,1,5,7]=>[5,1,7,3,6,8,4,2]=>0000000=>0000000 [3,2,8,6,4,1,5,7]=>[6,7,1,3,5,8,4,2]=>0000000=>0000000 [7,1,5,2,8,3,4,6]=>[2,8,4,7,1,6,5,3]=>0000000=>0000000 [1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>0000000=>0000000 [7,1,6,8,2,3,4,5]=>[2,8,3,1,7,6,5,4]=>0000000=>0000000 [3,2,1,7,8,4,5,6]=>[6,7,8,2,1,5,4,3]=>0000000=>0000000 [3,2,8,7,1,4,5,6]=>[6,7,1,2,8,5,4,3]=>0000000=>0000000 [5,8,7,2,1,3,4,6]=>[4,1,2,7,8,6,5,3]=>0000000=>0000000 [1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>0000000=>0000000 [6,5,8,2,3,1,4,7]=>[3,4,1,7,6,8,5,2]=>0000000=>0000000 [8,5,7,2,1,3,4,6]=>[1,4,2,7,8,6,5,3]=>1000000=>0000001 [3,2,5,4,1,8,6,7]=>[6,7,4,5,8,1,3,2]=>0000000=>0000000 [7,4,2,1,8,3,5,6]=>[2,5,7,8,1,6,4,3]=>0000000=>0000000 [8,4,2,1,7,3,5,6]=>[1,5,7,8,2,6,4,3]=>1000000=>0000001 [1,4,2,8,7,3,5,6]=>[8,5,7,1,2,6,4,3]=>0000000=>0000000 [1,5,8,2,7,3,4,6]=>[8,4,1,7,2,6,5,3]=>0000000=>0000000 [8,5,1,2,7,3,4,6]=>[1,4,8,7,2,6,5,3]=>1000000=>0000001 [3,2,6,1,4,8,5,7]=>[6,7,3,8,5,1,4,2]=>0000000=>0000000 [3,2,7,1,8,4,5,6]=>[6,7,2,8,1,5,4,3]=>0000000=>0000000 [4,7,2,1,8,3,5,6]=>[5,2,7,8,1,6,4,3]=>0000000=>0000000 [8,6,1,7,2,3,4,5]=>[1,3,8,2,7,6,5,4]=>1000000=>0000001 [1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>0000000=>0000000 [1,7,8,6,2,3,4,5]=>[8,2,1,3,7,6,5,4]=>0000000=>0000000 [7,8,1,6,2,3,4,5]=>[2,1,8,3,7,6,5,4]=>0100000=>0000010 [4,8,2,1,7,3,5,6]=>[5,1,7,8,2,6,4,3]=>0000000=>0000000 [3,2,8,1,7,4,5,6]=>[6,7,1,8,2,5,4,3]=>0000000=>0000000 [5,1,8,2,7,3,4,6]=>[4,8,1,7,2,6,5,3]=>0000000=>0000000 [6,1,8,7,2,3,4,5]=>[3,8,1,2,7,6,5,4]=>0000000=>0000000 [8,1,7,6,2,3,4,5]=>[1,8,2,3,7,6,5,4]=>1000000=>0000001 [2,8,4,1,6,5,7,3]=>[7,1,5,8,3,4,2,6]=>0000000=>0000000 [2,8,5,6,7,4,3,1]=>[7,1,4,3,2,5,6,8]=>0000001=>1000000 [7,5,8,6,1,4,2,3]=>[2,4,1,3,8,5,7,6]=>0001000=>0001000 [3,5,7,6,1,4,2,8]=>[6,4,2,3,8,5,7,1]=>0000000=>0000000 [7,5,8,2,4,1,6,3]=>[2,4,1,7,5,8,3,6]=>0000000=>0000000 [2,8,5,3,4,7,6,1]=>[7,1,4,6,5,2,3,8]=>0000001=>1000000 [2,8,5,3,4,1,7,6]=>[7,1,4,6,5,8,2,3]=>0000000=>0000000 [2,8,5,3,6,1,7,4]=>[7,1,4,6,3,8,2,5]=>0000000=>0000000 [2,8,5,6,7,4,1,3]=>[7,1,4,3,2,5,8,6]=>0000000=>0000000 [2,8,5,3,4,7,1,6]=>[7,1,4,6,5,2,8,3]=>0000000=>0000000 [2,8,5,3,4,6,1,7]=>[7,1,4,6,5,3,8,2]=>0000000=>0000000 [6,5,2,7,3,1,4,8]=>[3,4,7,2,6,8,5,1]=>0000000=>0000000 [6,5,2,8,3,1,7,4]=>[3,4,7,1,6,8,2,5]=>0000000=>0000000 [6,5,2,8,3,1,4,7]=>[3,4,7,1,6,8,5,2]=>0000000=>0000000 [7,5,8,2,4,6,3,1]=>[2,4,1,7,5,3,6,8]=>0000001=>1000000 [7,5,8,6,1,4,3,2]=>[2,4,1,3,8,5,6,7]=>0001000=>0001000 [6,5,8,2,1,3,7,4]=>[3,4,1,7,8,6,2,5]=>0000000=>0000000 [3,5,6,2,1,8,7,4]=>[6,4,3,7,8,1,2,5]=>0000000=>0000000 [3,5,7,2,4,1,8,6]=>[6,4,2,7,5,8,1,3]=>0000000=>0000000 [6,5,2,7,3,1,8,4]=>[3,4,7,2,6,8,1,5]=>0000000=>0000000 [4,5,2,6,3,1,7,8]=>[5,4,7,3,6,8,2,1]=>0000000=>0000000 [6,5,2,7,3,4,8,1]=>[3,4,7,2,6,5,1,8]=>0000001=>1000000 [5,1,6,7,4,3,8,2]=>[4,8,3,2,5,6,1,7]=>0000000=>0000000 [5,1,2,6,4,8,7,3]=>[4,8,7,3,5,1,2,6]=>0000000=>0000000 [5,1,2,8,6,4,7,3]=>[4,8,7,1,3,5,2,6]=>0000000=>0000000 [5,1,6,8,7,3,4,2]=>[4,8,3,1,2,6,5,7]=>0000000=>0000000 [6,5,2,8,3,7,4,1]=>[3,4,7,1,6,2,5,8]=>0000001=>1000000 [4,1,2,3,8,6,5,7]=>[5,8,7,6,1,3,4,2]=>0000000=>0000000 [4,1,2,3,8,6,7,5]=>[5,8,7,6,1,3,2,4]=>0000000=>0000000 [4,1,2,3,8,5,7,6]=>[5,8,7,6,1,4,2,3]=>0000000=>0000000 [6,5,8,2,4,3,7,1]=>[3,4,1,7,5,6,2,8]=>0000001=>1000000 [6,5,2,8,3,7,1,4]=>[3,4,7,1,6,2,8,5]=>0000000=>0000000 [6,5,2,7,3,4,1,8]=>[3,4,7,2,6,5,8,1]=>0000000=>0000000 [5,1,6,7,4,3,2,8]=>[4,8,3,2,5,6,7,1]=>0000000=>0000000 [5,1,6,8,7,3,2,4]=>[4,8,3,1,2,6,7,5]=>0000000=>0000000 [5,7,8,6,3,4,2,1]=>[4,2,1,3,6,5,7,8]=>0001011=>1101000 [3,1,4,8,6,2,7,5]=>[6,8,5,1,3,7,2,4]=>0000000=>0000000 [3,1,4,8,6,5,2,7]=>[6,8,5,1,3,4,7,2]=>0000000=>0000000 [4,1,6,7,8,3,2,5]=>[5,8,3,2,1,6,7,4]=>0000000=>0000000 [4,1,6,5,7,3,2,8]=>[5,8,3,4,2,6,7,1]=>0000000=>0000000 [4,5,2,6,3,7,1,8]=>[5,4,7,3,6,2,8,1]=>0000000=>0000000 [4,5,2,7,3,8,1,6]=>[5,4,7,2,6,1,8,3]=>0000000=>0000000 [3,5,6,2,4,8,1,7]=>[6,4,3,7,5,1,8,2]=>0000000=>0000000 [3,7,5,6,8,4,1,2]=>[6,2,4,3,1,5,8,7]=>0000010=>0100000 [3,6,5,2,8,1,7,4]=>[6,3,4,7,1,8,2,5]=>0000000=>0000000 [6,1,2,5,8,4,7,3]=>[3,8,7,4,1,5,2,6]=>0000000=>0000000 [4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>0000000=>0000000 [4,1,6,7,8,3,5,2]=>[5,8,3,2,1,6,4,7]=>0000000=>0000000 [4,1,2,6,8,5,7,3]=>[5,8,7,3,1,4,2,6]=>0000000=>0000000 [4,1,2,5,6,8,7,3]=>[5,8,7,4,3,1,2,6]=>0000000=>0000000 [4,5,2,6,3,7,8,1]=>[5,4,7,3,6,2,1,8]=>0000001=>1000000 [7,4,2,5,1,3,8,6]=>[2,5,7,4,8,6,1,3]=>0000000=>0000000 [6,3,7,4,1,2,8,5]=>[3,6,2,5,8,7,1,4]=>0000000=>0000000 [7,4,8,5,2,6,1,3]=>[2,5,1,4,7,3,8,6]=>0000000=>0000000 [3,8,6,2,4,7,1,5]=>[6,1,3,7,5,2,8,4]=>0000000=>0000000 [6,8,4,3,7,1,2,5]=>[3,1,5,6,2,8,7,4]=>0000000=>0000000 [3,8,5,7,1,2,4,6]=>[6,1,4,2,8,7,5,3]=>0000000=>0000000 [2,7,6,4,8,1,3,5]=>[7,2,3,5,1,8,6,4]=>0000000=>0000000 [8,4,6,3,7,1,2,5]=>[1,5,3,6,2,8,7,4]=>1000000=>0000001 [5,4,1,7,8,2,3,6]=>[4,5,8,2,1,7,6,3]=>0000000=>0000000 [6,5,1,2,7,8,3,4]=>[3,4,8,7,2,1,6,5]=>0000000=>0000000 [5,7,2,8,1,6,3,4]=>[4,2,7,1,8,3,6,5]=>0000000=>0000000 [6,3,7,8,5,1,2,4]=>[3,6,2,1,4,8,7,5]=>0000000=>0000000 [3,6,8,2,7,1,4,5]=>[6,3,1,7,2,8,5,4]=>0000000=>0000000 [5,4,8,7,1,2,3,6]=>[4,5,1,2,8,7,6,3]=>0000000=>0000000 [7,5,8,6,4,1,2,3]=>[2,4,1,3,5,8,7,6]=>0001100=>0011000 [6,8,4,7,5,1,2,3]=>[3,1,5,2,4,8,7,6]=>0000100=>0010000 [2,8,7,6,1,3,4,5]=>[7,1,2,3,8,6,5,4]=>0000000=>0000000 [3,8,7,6,1,2,4,5]=>[6,1,2,3,8,7,5,4]=>0000000=>0000000 [5,6,3,1,4,2,8,7]=>[4,3,6,8,5,7,1,2]=>0000000=>0000000 [3,8,7,4,5,1,6,2]=>[6,1,2,5,4,8,3,7]=>0000000=>0000000 [5,7,3,8,1,2,6,4]=>[4,2,6,1,8,7,3,5]=>0000000=>0000000 [8,6,3,1,2,5,7,4]=>[1,3,6,8,7,4,2,5]=>1000000=>0000001 [8,7,1,4,2,6,5,3]=>[1,2,8,5,7,3,4,6]=>1100000=>0000011 [5,3,2,7,4,6,8,1]=>[4,6,7,2,5,3,1,8]=>0000001=>1000000 [7,5,3,6,2,4,8,1]=>[2,4,6,3,7,5,1,8]=>0000001=>1000000 [8,5,3,6,2,7,1,4]=>[1,4,6,3,7,2,8,5]=>1000000=>0000001 [7,2,6,3,4,5,8,1]=>[2,7,3,6,5,4,1,8]=>0000001=>1000000 [6,2,7,3,4,5,8,1]=>[3,7,2,6,5,4,1,8]=>0000001=>1000000 [6,7,3,5,2,4,8,1]=>[3,2,6,4,7,5,1,8]=>0000001=>1000000 [3,7,6,2,4,5,8,1]=>[6,2,3,7,5,4,1,8]=>0000001=>1000000 [8,6,5,2,3,7,1,4]=>[1,3,4,7,6,2,8,5]=>1000000=>0000001 [5,7,3,1,2,8,4,6]=>[4,2,6,8,7,1,5,3]=>0000000=>0000000 [5,4,8,6,2,7,1,3]=>[4,5,1,3,7,2,8,6]=>0000000=>0000000 [7,8,5,2,3,6,1,4]=>[2,1,4,7,6,3,8,5]=>0100000=>0000010 [2,8,1,7,3,4,5,6]=>[7,1,8,2,6,5,4,3]=>0000000=>0000000 [4,1,7,5,8,2,3,6]=>[5,8,2,4,1,7,6,3]=>0000000=>0000000 [8,1,2,7,3,4,5,6]=>[1,8,7,2,6,5,4,3]=>1000000=>0000001 [6,3,7,1,2,8,4,5]=>[3,6,2,8,7,1,5,4]=>0000000=>0000000 [8,5,3,7,6,1,2,4]=>[1,4,6,2,3,8,7,5]=>1000000=>0000001 [6,1,8,3,7,2,4,5]=>[3,8,1,6,2,7,5,4]=>0000000=>0000000 [7,6,8,2,3,5,1,4]=>[2,3,1,7,6,4,8,5]=>0010000=>0000100 [3,7,8,2,4,6,1,5]=>[6,2,1,7,5,3,8,4]=>0000000=>0000000 [5,4,7,8,2,6,1,3]=>[4,5,2,1,7,3,8,6]=>0000000=>0000000 [3,6,2,8,7,1,4,5]=>[6,3,7,1,2,8,5,4]=>0000000=>0000000 [2,3,8,7,1,4,5,6]=>[7,6,1,2,8,5,4,3]=>0000000=>0000000 [2,1,8,7,3,4,5,6]=>[7,8,1,2,6,5,4,3]=>0000000=>0000000 [8,2,7,6,1,3,4,5]=>[1,7,2,3,8,6,5,4]=>1000000=>0000001 [1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000=>0000000 [1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>0000000=>0000000 [1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>0000000=>0000000 [5,4,8,7,6,1,2,3]=>[4,5,1,2,3,8,7,6]=>0000100=>0010000 [6,8,3,7,5,1,2,4]=>[3,1,6,2,4,8,7,5]=>0000000=>0000000 [7,8,6,2,5,1,3,4]=>[2,1,3,7,4,8,6,5]=>0110000=>0000110 [8,1,6,7,3,2,4,5]=>[1,8,3,2,6,7,5,4]=>1000000=>0000001 [7,4,1,3,2,6,5,8]=>[2,5,8,6,7,3,4,1]=>0000000=>0000000 [8,1,5,3,6,2,7,4]=>[1,8,4,6,3,7,2,5]=>1000000=>0000001 [7,5,1,3,6,2,8,4]=>[2,4,8,6,3,7,1,5]=>0000000=>0000000 [6,5,4,8,7,1,2,3]=>[3,4,5,1,2,8,7,6]=>0000100=>0010000 [6,5,4,1,7,8,2,3]=>[3,4,5,8,2,1,7,6]=>0000000=>0000000 [6,4,3,1,2,7,8,5]=>[3,5,6,8,7,2,1,4]=>0000000=>0000000 [7,5,1,3,8,2,4,6]=>[2,4,8,6,1,7,5,3]=>0000000=>0000000 [6,4,3,7,2,1,5,8]=>[3,5,6,2,7,8,4,1]=>0000000=>0000000 [7,5,8,4,1,6,2,3]=>[2,4,1,5,8,3,7,6]=>0000000=>0000000 [6,5,4,7,1,8,2,3]=>[3,4,5,2,8,1,7,6]=>0000000=>0000000 [5,4,3,2,7,8,1,6]=>[4,5,6,7,2,1,8,3]=>0000000=>0000000 [5,6,8,3,4,1,2,7]=>[4,3,1,6,5,8,7,2]=>0000000=>0000000 [4,6,2,7,5,3,1,8]=>[5,3,7,2,4,6,8,1]=>0000000=>0000000 [5,7,8,4,1,3,6,2]=>[4,2,1,5,8,6,3,7]=>0000000=>0000000 [5,6,8,2,4,1,7,3]=>[4,3,1,7,5,8,2,6]=>0000000=>0000000 [6,7,8,1,5,3,2,4]=>[3,2,1,8,4,6,7,5]=>0010000=>0000100 [6,7,8,1,3,5,2,4]=>[3,2,1,8,6,4,7,5]=>0010000=>0000100 [5,7,8,2,1,6,4,3]=>[4,2,1,7,8,3,5,6]=>0000000=>0000000 [6,7,8,1,3,5,4,2]=>[3,2,1,8,6,4,5,7]=>0010000=>0000100 [6,7,8,1,5,3,4,2]=>[3,2,1,8,4,6,5,7]=>0010000=>0000100 [4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>0000000=>0000000 [4,7,3,8,1,5,2,6]=>[5,2,6,1,8,4,7,3]=>0000000=>0000000 [5,7,8,3,1,2,4,6]=>[4,2,1,6,8,7,5,3]=>0000000=>0000000 [5,6,8,3,2,1,4,7]=>[4,3,1,6,7,8,5,2]=>0000000=>0000000 [3,2,7,8,1,5,4,6]=>[6,7,2,1,8,4,5,3]=>0000000=>0000000 [6,7,8,1,3,4,2,5]=>[3,2,1,8,6,5,7,4]=>0010000=>0000100 [6,7,8,1,4,2,3,5]=>[3,2,1,8,5,7,6,4]=>0010000=>0000100 [5,7,8,2,1,3,6,4]=>[4,2,1,7,8,6,3,5]=>0000000=>0000000 [3,2,7,8,1,4,6,5]=>[6,7,2,1,8,5,3,4]=>0000000=>0000000 [6,7,8,1,3,2,4,5]=>[3,2,1,8,6,7,5,4]=>0010000=>0000100 [6,7,8,1,2,4,3,5]=>[3,2,1,8,7,5,6,4]=>0010000=>0000100 [8,3,5,1,7,4,6,2]=>[1,6,4,8,2,5,3,7]=>1000000=>0000001 [8,3,4,1,7,5,6,2]=>[1,6,5,8,2,4,3,7]=>1000000=>0000001 [4,8,3,1,7,5,6,2]=>[5,1,6,8,2,4,3,7]=>0000000=>0000000 [4,6,2,1,7,5,8,3]=>[5,3,7,8,2,4,1,6]=>0000000=>0000000 [1,4,6,2,7,5,8,3]=>[8,5,3,7,2,4,1,6]=>0000000=>0000000 [1,7,5,2,6,8,4,3]=>[8,2,4,7,3,1,5,6]=>0000000=>0000000 [7,5,2,1,6,8,4,3]=>[2,4,7,8,3,1,5,6]=>0000000=>0000000 [6,8,4,3,1,7,5,2]=>[3,1,5,6,8,2,4,7]=>0000000=>0000000 [4,7,5,6,1,8,3,2]=>[5,2,4,3,8,1,6,7]=>0000000=>0000000 [6,7,5,1,8,4,3,2]=>[3,2,4,8,1,5,6,7]=>0000000=>0000000 [6,8,4,1,7,5,3,2]=>[3,1,5,8,2,4,6,7]=>0000000=>0000000 [6,7,5,3,1,8,4,2]=>[3,2,4,6,8,1,5,7]=>0000000=>0000000 [8,4,2,1,6,7,5,3]=>[1,5,7,8,3,2,4,6]=>1000000=>0000001 [1,8,4,2,6,7,5,3]=>[8,1,5,7,3,2,4,6]=>0000000=>0000000 [1,5,3,2,7,6,8,4]=>[8,4,6,7,2,3,1,5]=>0000000=>0000000 [2,5,3,1,7,6,8,4]=>[7,4,6,8,2,3,1,5]=>0000000=>0000000 [2,7,5,1,6,8,4,3]=>[7,2,4,8,3,1,5,6]=>0000000=>0000000 [4,7,1,6,5,8,2,3]=>[5,2,8,3,4,1,7,6]=>0000000=>0000000 [4,6,1,2,7,5,8,3]=>[5,3,8,7,2,4,1,6]=>0000000=>0000000 [8,4,1,2,6,7,5,3]=>[1,5,8,7,3,2,4,6]=>1000000=>0000001 [5,3,1,2,7,6,8,4]=>[4,6,8,7,2,3,1,5]=>0000000=>0000000 [4,3,1,2,7,6,8,5]=>[5,6,8,7,2,3,1,4]=>0000000=>0000000 [3,5,1,2,7,6,8,4]=>[6,4,8,7,2,3,1,5]=>0000000=>0000000 [6,7,1,5,8,2,3,4]=>[3,2,8,4,1,7,6,5]=>0000000=>0000000 [2,7,6,1,5,8,3,4]=>[7,2,3,8,4,1,6,5]=>0000000=>0000000 [2,3,5,1,7,6,8,4]=>[7,6,4,8,2,3,1,5]=>0000000=>0000000 [8,4,1,6,7,5,2,3]=>[1,5,8,3,2,4,7,6]=>1000000=>0000001 [5,2,3,1,7,6,8,4]=>[4,7,6,8,2,3,1,5]=>0000000=>0000000 [3,5,2,1,7,6,8,4]=>[6,4,7,8,2,3,1,5]=>0000000=>0000000 [1,7,6,2,5,8,3,4]=>[8,2,3,7,4,1,6,5]=>0000000=>0000000 [7,6,2,1,5,8,3,4]=>[2,3,7,8,4,1,6,5]=>0000000=>0000000 [8,2,6,4,7,1,5,3]=>[1,7,3,5,2,8,4,6]=>1000000=>0000001 [6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>0000000=>0000000 [7,6,2,5,8,3,1,4]=>[2,3,7,4,1,6,8,5]=>0000000=>0000000 [1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>0000000=>0000000 [1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>0000000=>0000000 [5,2,1,3,7,6,8,4]=>[4,7,8,6,2,3,1,5]=>0000000=>0000000 [8,4,2,6,7,5,1,3]=>[1,5,7,3,2,4,8,6]=>1000000=>0000001 [6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>0000000=>0000000 [8,2,6,5,7,1,4,3]=>[1,7,3,4,2,8,5,6]=>1000000=>0000001 [5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>0000000=>0000000 [1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000=>0000000 [2,4,1,3,7,6,8,5]=>[7,5,8,6,2,3,1,4]=>0000000=>0000000 [2,5,1,3,7,6,8,4]=>[7,4,8,6,2,3,1,5]=>0000000=>0000000 [2,8,3,5,7,6,1,4]=>[7,1,6,4,2,3,8,5]=>0000000=>0000000 [6,8,2,3,5,7,1,4]=>[3,1,7,6,4,2,8,5]=>0000000=>0000000 [6,7,1,3,5,8,2,4]=>[3,2,8,6,4,1,7,5]=>0000000=>0000000 [8,3,5,7,6,1,2,4]=>[1,6,4,2,3,8,7,5]=>1000000=>0000001 [5,1,2,3,7,6,8,4]=>[4,8,7,6,2,3,1,5]=>0000000=>0000000 [4,7,1,2,8,6,5,3]=>[5,2,8,7,1,3,4,6]=>0000000=>0000000 [4,6,8,1,2,7,5,3]=>[5,3,1,8,7,2,4,6]=>0000000=>0000000 [6,8,7,1,5,3,2,4]=>[3,1,2,8,4,6,7,5]=>0010000=>0000100 [6,8,7,3,5,1,2,4]=>[3,1,2,6,4,8,7,5]=>0010000=>0000100 [7,8,1,3,6,5,2,4]=>[2,1,8,6,3,4,7,5]=>0100000=>0000010 [1,7,3,4,8,6,5,2]=>[8,2,6,5,1,3,4,7]=>0000000=>0000000 [4,2,7,1,8,6,5,3]=>[5,7,2,8,1,3,4,6]=>0000000=>0000000 [7,8,2,3,6,5,1,4]=>[2,1,7,6,3,4,8,5]=>0100000=>0000010 [8,5,7,1,6,2,3,4]=>[1,4,2,8,3,7,6,5]=>1000000=>0000001 [8,5,7,1,2,6,3,4]=>[1,4,2,8,7,3,6,5]=>1000000=>0000001 [6,8,2,7,1,3,5,4]=>[3,1,7,2,8,6,4,5]=>0000000=>0000000 [6,2,4,8,7,1,5,3]=>[3,7,5,1,2,8,4,6]=>0000000=>0000000 [1,6,8,3,7,4,5,2]=>[8,3,1,6,2,5,4,7]=>0000000=>0000000 [1,6,8,3,4,7,5,2]=>[8,3,1,6,5,2,4,7]=>0000000=>0000000 [6,2,4,8,1,7,5,3]=>[3,7,5,1,8,2,4,6]=>0000000=>0000000 [6,8,7,2,3,5,1,4]=>[3,1,2,7,6,4,8,5]=>0010000=>0000100 [6,8,2,1,7,3,5,4]=>[3,1,7,8,2,6,4,5]=>0000000=>0000000 [8,5,7,2,1,6,3,4]=>[1,4,2,7,8,3,6,5]=>1000000=>0000001 [8,5,7,1,2,3,6,4]=>[1,4,2,8,7,6,3,5]=>1000000=>0000001 [8,5,7,2,3,1,6,4]=>[1,4,2,7,6,8,3,5]=>1000000=>0000001 [1,8,7,5,3,4,6,2]=>[8,1,2,4,6,5,3,7]=>0000000=>0000000 [1,8,7,3,5,4,6,2]=>[8,1,2,6,4,5,3,7]=>0000000=>0000000 [8,2,5,4,7,1,6,3]=>[1,7,4,5,2,8,3,6]=>1000000=>0000001 [8,7,6,1,2,4,3,5]=>[1,2,3,8,7,5,6,4]=>1110000=>0000111 [8,7,6,1,4,2,3,5]=>[1,2,3,8,5,7,6,4]=>1110000=>0000111 [8,7,6,4,1,3,2,5]=>[1,2,3,5,8,6,7,4]=>1110000=>0000111 [8,5,7,1,3,2,6,4]=>[1,4,2,8,6,7,3,5]=>1000000=>0000001 [5,8,4,7,1,2,6,3]=>[4,1,5,2,8,7,3,6]=>0000000=>0000000 [8,1,2,6,5,7,4,3]=>[1,8,7,3,4,2,5,6]=>1000000=>0000001 [8,2,5,6,7,4,1,3]=>[1,7,4,3,2,5,8,6]=>1000000=>0000001 [4,8,5,1,7,2,6,3]=>[5,1,4,8,2,7,3,6]=>0000000=>0000000 [8,5,3,7,1,2,6,4]=>[1,4,6,2,8,7,3,5]=>1000000=>0000001 [4,6,2,8,1,7,5,3]=>[5,3,7,1,8,2,4,6]=>0000000=>0000000 [1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>0000000=>0000000 [1,8,7,4,5,3,6,2]=>[8,1,2,5,4,6,3,7]=>0000000=>0000000 [4,8,5,7,2,1,6,3]=>[5,1,4,2,7,8,3,6]=>0000000=>0000000 [8,5,3,7,2,1,6,4]=>[1,4,6,2,7,8,3,5]=>1000000=>0000001 [8,7,6,3,1,4,2,5]=>[1,2,3,6,8,5,7,4]=>1110000=>0000111 [8,5,3,2,7,1,6,4]=>[1,4,6,7,2,8,3,5]=>1000000=>0000001 [1,8,7,4,3,5,6,2]=>[8,1,2,5,6,4,3,7]=>0000000=>0000000 [1,8,7,3,4,5,6,2]=>[8,1,2,6,5,4,3,7]=>0000000=>0000000 [8,2,4,5,7,1,6,3]=>[1,7,5,4,2,8,3,6]=>1000000=>0000001 [8,5,2,3,7,1,6,4]=>[1,4,7,6,2,8,3,5]=>1000000=>0000001 [8,3,1,5,2,7,6,4]=>[1,6,8,4,7,2,3,5]=>1000000=>0000001 [8,5,4,2,1,7,3,6]=>[1,4,5,7,8,2,6,3]=>1000000=>0000001 [8,5,4,2,1,7,6,3]=>[1,4,5,7,8,2,3,6]=>1000000=>0000001 [6,5,4,2,3,1,8,7]=>[3,4,5,7,6,8,1,2]=>0000000=>0000000 [6,3,2,5,1,4,8,7]=>[3,6,7,4,8,5,1,2]=>0000000=>0000000 [8,5,4,1,2,7,6,3]=>[1,4,5,8,7,2,3,6]=>1000000=>0000001 [8,7,4,1,6,3,2,5]=>[1,2,5,8,3,6,7,4]=>1100000=>0000011 [8,7,4,1,6,3,5,2]=>[1,2,5,8,3,6,4,7]=>1100000=>0000011 [8,7,4,1,6,5,3,2]=>[1,2,5,8,3,4,6,7]=>1100000=>0000011 [8,5,4,3,1,7,6,2]=>[1,4,5,6,8,2,3,7]=>1000000=>0000001 [8,3,2,5,1,7,6,4]=>[1,6,7,4,8,2,3,5]=>1000000=>0000001 [8,3,2,5,1,7,4,6]=>[1,6,7,4,8,2,5,3]=>1000000=>0000001 [8,5,4,3,1,7,2,6]=>[1,4,5,6,8,2,7,3]=>1000000=>0000001 [8,5,4,1,3,7,2,6]=>[1,4,5,8,6,2,7,3]=>1000000=>0000001 [8,7,4,1,6,5,2,3]=>[1,2,5,8,3,4,7,6]=>1100000=>0000011 [2,1,8,7,6,4,5,3]=>[7,8,1,2,3,5,4,6]=>0000000=>0000000 [8,3,2,7,6,4,5,1]=>[1,6,7,2,3,5,4,8]=>1000001=>1000001 [8,5,4,2,3,7,6,1]=>[1,4,5,7,6,2,3,8]=>1000001=>1000001 [8,7,4,2,6,5,3,1]=>[1,2,5,7,3,4,6,8]=>1100001=>1000011 [8,7,4,2,6,3,5,1]=>[1,2,5,7,3,6,4,8]=>1100001=>1000011 [8,7,4,2,6,3,1,5]=>[1,2,5,7,3,6,8,4]=>1100000=>0000011 [8,3,1,7,6,4,2,5]=>[1,6,8,2,3,5,7,4]=>1000000=>0000001 [8,3,1,7,6,4,5,2]=>[1,6,8,2,3,5,4,7]=>1000000=>0000001 [8,3,1,5,4,7,6,2]=>[1,6,8,4,5,2,3,7]=>1000000=>0000001 [8,3,1,7,6,5,2,4]=>[1,6,8,2,3,4,7,5]=>1000000=>0000001 [8,3,1,7,6,2,5,4]=>[1,6,8,2,3,7,4,5]=>1000000=>0000001 [8,5,4,2,3,7,1,6]=>[1,4,5,7,6,2,8,3]=>1000000=>0000001 [8,3,2,5,4,7,1,6]=>[1,6,7,4,5,2,8,3]=>1000000=>0000001 [2,1,8,5,4,7,3,6]=>[7,8,1,4,5,2,6,3]=>0000000=>0000000 [8,3,2,7,6,5,1,4]=>[1,6,7,2,3,4,8,5]=>1000000=>0000001 [8,7,6,5,3,1,4,2]=>[1,2,3,4,6,8,5,7]=>1111000=>0001111 [8,3,2,7,6,1,5,4]=>[1,6,7,2,3,8,4,5]=>1000000=>0000001 [8,7,6,5,1,2,4,3]=>[1,2,3,4,8,7,5,6]=>1111000=>0001111 [5,2,3,1,6,4,8,7]=>[4,7,6,8,3,5,1,2]=>0000000=>0000000 [7,4,5,2,3,1,8,6]=>[2,5,4,7,6,8,1,3]=>0000000=>0000000 [7,3,5,2,4,1,8,6]=>[2,6,4,7,5,8,1,3]=>0000000=>0000000 [6,3,5,2,4,1,8,7]=>[3,6,4,7,5,8,1,2]=>0000000=>0000000 [4,1,6,3,5,2,8,7]=>[5,8,3,6,4,7,1,2]=>0000000=>0000000 [6,3,4,1,5,2,8,7]=>[3,6,5,8,4,7,1,2]=>0000000=>0000000 [5,2,7,3,4,1,8,6]=>[4,7,2,6,5,8,1,3]=>0000000=>0000000 [6,2,8,5,7,3,4,1]=>[3,7,1,4,2,6,5,8]=>0000001=>1000000 [6,2,7,3,4,1,8,5]=>[3,7,2,6,5,8,1,4]=>0000000=>0000000 [7,3,4,1,5,2,8,6]=>[2,6,5,8,4,7,1,3]=>0000000=>0000000 [4,1,7,3,5,2,8,6]=>[5,8,2,6,4,7,1,3]=>0000000=>0000000 [2,1,7,4,5,3,8,6]=>[7,8,2,5,4,6,1,3]=>0000000=>0000000 [3,1,8,6,7,4,5,2]=>[6,8,1,3,2,5,4,7]=>0000000=>0000000 [4,1,8,6,7,3,5,2]=>[5,8,1,3,2,6,4,7]=>0000000=>0000000 [8,5,7,3,4,1,6,2]=>[1,4,2,6,5,8,3,7]=>1000000=>0000001 [8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>1000001=>1000001 [8,4,7,3,5,1,6,2]=>[1,5,2,6,4,8,3,7]=>1000000=>0000001 [5,1,8,4,7,3,6,2]=>[4,8,1,5,2,6,3,7]=>0000000=>0000000 [3,1,8,5,7,4,6,2]=>[6,8,1,4,2,5,3,7]=>0000000=>0000000 [2,1,8,5,7,4,6,3]=>[7,8,1,4,2,5,3,6]=>0000000=>0000000 [3,1,7,4,6,2,8,5]=>[6,8,2,5,3,7,1,4]=>0000000=>0000000 [4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>0000000=>0000000 [6,2,8,4,7,3,5,1]=>[3,7,1,5,2,6,4,8]=>0000001=>1000000 [7,3,6,2,5,1,8,4]=>[2,6,3,7,4,8,1,5]=>0000000=>0000000 [5,2,4,1,7,3,8,6]=>[4,7,5,8,2,6,1,3]=>0000000=>0000000 [6,2,4,1,7,3,8,5]=>[3,7,5,8,2,6,1,4]=>0000000=>0000000 [7,4,6,2,3,1,8,5]=>[2,5,3,7,6,8,1,4]=>0000000=>0000000 [6,2,3,1,7,4,8,5]=>[3,7,6,8,2,5,1,4]=>0000000=>0000000 [5,2,3,1,7,4,8,6]=>[4,7,6,8,2,5,1,3]=>0000000=>0000000 [4,2,3,1,7,5,8,6]=>[5,7,6,8,2,4,1,3]=>0000000=>0000000 [3,1,4,2,8,6,7,5]=>[6,8,5,7,1,3,2,4]=>0000000=>0000000 [6,2,3,1,8,5,7,4]=>[3,7,6,8,1,4,2,5]=>0000000=>0000000 [8,5,6,2,3,1,7,4]=>[1,4,3,7,6,8,2,5]=>1000000=>0000001 [7,3,8,5,6,2,4,1]=>[2,6,1,4,3,7,5,8]=>0000001=>1000000 [8,5,6,2,4,1,7,3]=>[1,4,3,7,5,8,2,6]=>1000000=>0000001 [5,2,4,1,8,6,7,3]=>[4,7,5,8,1,3,2,6]=>0000000=>0000000 [4,1,5,2,8,6,7,3]=>[5,8,4,7,1,3,2,6]=>0000000=>0000000 [3,1,6,2,8,5,7,4]=>[6,8,3,7,1,4,2,5]=>0000000=>0000000 [5,1,6,2,8,4,7,3]=>[4,8,3,7,1,5,2,6]=>0000000=>0000000 [8,4,6,2,5,1,7,3]=>[1,5,3,7,4,8,2,6]=>1000000=>0000001 [7,3,8,4,6,2,5,1]=>[2,6,1,5,3,7,4,8]=>0000001=>1000000 [6,2,7,3,8,4,5,1]=>[3,7,2,6,1,5,4,8]=>0000001=>1000000 [8,4,5,1,6,2,7,3]=>[1,5,4,8,3,7,2,6]=>1000000=>0000001 [4,1,8,5,6,2,7,3]=>[5,8,1,4,3,7,2,6]=>0000000=>0000000 [3,1,8,5,6,2,7,4]=>[6,8,1,4,3,7,2,5]=>0000000=>0000000 [2,1,8,5,6,3,7,4]=>[7,8,1,4,3,6,2,5]=>0000000=>0000000 [3,1,7,4,8,5,6,2]=>[6,8,2,5,1,4,3,7]=>0000000=>0000000 [7,3,6,2,8,4,5,1]=>[2,6,3,7,1,5,4,8]=>0000001=>1000000 [6,8,7,3,4,1,2,5]=>[3,1,2,6,5,8,7,4]=>0010000=>0000100 [5,4,8,7,2,6,3,1]=>[4,5,1,2,7,3,6,8]=>0000001=>1000000 [5,3,8,7,6,1,2,4]=>[4,6,1,2,3,8,7,5]=>0000000=>0000000 [8,3,4,6,5,1,2,7]=>[1,6,5,3,4,8,7,2]=>1000000=>0000001 [3,4,8,7,6,1,2,5]=>[6,5,1,2,3,8,7,4]=>0000000=>0000000 [3,5,8,7,6,1,2,4]=>[6,4,1,2,3,8,7,5]=>0000000=>0000000 [4,5,8,7,6,1,2,3]=>[5,4,1,2,3,8,7,6]=>0000100=>0010000 [4,5,8,7,1,6,3,2]=>[5,4,1,2,8,3,6,7]=>0000000=>0000000 [3,5,8,2,7,6,4,1]=>[6,4,1,7,2,3,5,8]=>0000001=>1000000 [3,5,8,1,7,6,4,2]=>[6,4,1,8,2,3,5,7]=>0000000=>0000000 [2,5,8,7,1,6,3,4]=>[7,4,1,2,8,3,6,5]=>0000000=>0000000 [2,4,8,7,1,6,3,5]=>[7,5,1,2,8,3,6,4]=>0000000=>0000000 [2,8,4,7,1,5,3,6]=>[7,1,5,2,8,4,6,3]=>0000000=>0000000 [8,2,4,6,1,5,3,7]=>[1,7,5,3,8,4,6,2]=>1000000=>0000001 [8,1,4,6,2,5,3,7]=>[1,8,5,3,7,4,6,2]=>1000000=>0000001 [1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>0000000=>0000000 [1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>0000000=>0000000 [1,5,8,2,7,6,4,3]=>[8,4,1,7,2,3,5,6]=>0000000=>0000000 [2,5,8,3,7,6,4,1]=>[7,4,1,6,2,3,5,8]=>0000001=>1000000 [1,4,2,8,7,6,5,3]=>[8,5,7,1,2,3,4,6]=>0000000=>0000000 [1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>0000000=>0000000 [1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000=>0000000 [8,2,3,1,6,5,4,7]=>[1,7,6,8,3,4,5,2]=>1000000=>0000001 [2,3,8,1,7,6,4,5]=>[7,6,1,8,2,3,5,4]=>0000000=>0000000 [5,2,8,7,1,6,3,4]=>[4,7,1,2,8,3,6,5]=>0000000=>0000000 [5,2,8,1,7,6,4,3]=>[4,7,1,8,2,3,5,6]=>0000000=>0000000 [5,3,8,2,7,6,4,1]=>[4,6,1,7,2,3,5,8]=>0000001=>1000000 [6,8,3,2,7,5,4,1]=>[3,1,6,7,2,4,5,8]=>0000001=>1000000 [6,8,3,1,7,5,4,2]=>[3,1,6,8,2,4,5,7]=>0000000=>0000000 [6,8,2,3,7,5,4,1]=>[3,1,7,6,2,4,5,8]=>0000001=>1000000 [5,2,8,3,7,6,4,1]=>[4,7,1,6,2,3,5,8]=>0000001=>1000000 [5,1,8,3,7,6,4,2]=>[4,8,1,6,2,3,5,7]=>0000000=>0000000 [5,1,8,7,2,6,3,4]=>[4,8,1,2,7,3,6,5]=>0000000=>0000000 [4,8,1,7,2,5,3,6]=>[5,1,8,2,7,4,6,3]=>0000000=>0000000 [8,4,1,6,2,5,3,7]=>[1,5,8,3,7,4,6,2]=>1000000=>0000001 [8,3,1,2,6,5,4,7]=>[1,6,8,7,3,4,5,2]=>1000000=>0000001 [3,1,2,8,7,6,5,4]=>[6,8,7,1,2,3,4,5]=>0000000=>0000000 [4,1,3,8,7,6,5,2]=>[5,8,6,1,2,3,4,7]=>0000000=>0000000 [3,1,4,8,7,6,5,2]=>[6,8,5,1,2,3,4,7]=>0000000=>0000000 [2,1,8,3,7,6,4,5]=>[7,8,1,6,2,3,5,4]=>0000000=>0000000 [2,8,1,3,7,5,4,6]=>[7,1,8,6,2,4,5,3]=>0000000=>0000000 [8,2,1,3,6,5,4,7]=>[1,7,8,6,3,4,5,2]=>1000000=>0000001 [1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000=>0000000 [1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000=>0000000 [1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>0000000=>0000000 [1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>0000000=>0000000 [1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>0000000=>0000000 [1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>0000000=>0000000 [3,1,6,5,8,2,4,7]=>[6,8,3,4,1,7,5,2]=>0000000=>0000000 [1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>0000000=>0000000 [1,5,2,6,4,8,3,7]=>[8,4,7,3,5,1,6,2]=>0000000=>0000000 [1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>0000000=>0000000 [1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000=>0000000 [4,1,2,6,3,8,7,5]=>[5,8,7,3,6,1,2,4]=>0000000=>0000000 [7,1,5,4,2,8,3,6]=>[2,8,4,5,7,1,6,3]=>0000000=>0000000 [1,4,7,5,2,8,3,6]=>[8,5,2,4,7,1,6,3]=>0000000=>0000000 [7,1,3,5,2,8,4,6]=>[2,8,6,4,7,1,5,3]=>0000000=>0000000 [1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>0000000=>0000000 [1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000=>0000000 [1,4,2,8,3,7,6,5]=>[8,5,7,1,6,2,3,4]=>0000000=>0000000 [1,2,8,6,5,3,7,4]=>[8,7,1,3,4,6,2,5]=>0000000=>0000000 [6,2,1,8,7,3,4,5]=>[3,7,8,1,2,6,5,4]=>0000000=>0000000 [7,3,1,6,2,8,4,5]=>[2,6,8,3,7,1,5,4]=>0000000=>0000000 [1,7,6,4,2,8,3,5]=>[8,2,3,5,7,1,6,4]=>0000000=>0000000 [1,7,5,2,6,3,8,4]=>[8,2,4,7,3,6,1,5]=>0000000=>0000000 [1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>0000000=>0000000 [1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000=>0000000 [1,2,6,5,3,8,7,4]=>[8,7,3,4,6,1,2,5]=>0000000=>0000000 [1,5,2,7,6,3,8,4]=>[8,4,7,2,3,6,1,5]=>0000000=>0000000 [1,6,5,2,7,3,8,4]=>[8,3,4,7,2,6,1,5]=>0000000=>0000000 [1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>0000000=>0000000 [4,3,7,1,8,2,5,6]=>[5,6,2,8,1,7,4,3]=>0000000=>0000000 [8,3,1,6,2,4,7,5]=>[1,6,8,3,7,5,2,4]=>1000000=>0000001 [7,1,8,3,2,4,6,5]=>[2,8,1,6,7,5,3,4]=>0000000=>0000000 [1,4,2,8,7,3,6,5]=>[8,5,7,1,2,6,3,4]=>0000000=>0000000 [1,7,4,2,8,3,6,5]=>[8,2,5,7,1,6,3,4]=>0000000=>0000000 [8,1,5,4,2,7,3,6]=>[1,8,4,5,7,2,6,3]=>1000000=>0000001 [1,4,8,5,2,7,3,6]=>[8,5,1,4,7,2,6,3]=>0000000=>0000000 [8,5,3,1,7,2,4,6]=>[1,4,6,8,2,7,5,3]=>1000000=>0000001 [8,6,2,1,7,3,4,5]=>[1,3,7,8,2,6,5,4]=>1000000=>0000001 [1,8,6,4,2,7,3,5]=>[8,1,3,5,7,2,6,4]=>0000000=>0000000 [1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>0000000=>0000000 [1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>0000000=>0000000 [1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000=>0000000 [1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>0000000=>0000000 [1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>0000000=>0000000 [1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>0000000=>0000000 [7,1,8,3,2,6,4,5]=>[2,8,1,6,7,3,5,4]=>0000000=>0000000 [7,2,1,8,6,3,4,5]=>[2,7,8,1,3,6,5,4]=>0000000=>0000000 [1,8,7,3,2,6,4,5]=>[8,1,2,6,7,3,5,4]=>0000000=>0000000 [1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>0000000=>0000000 [1,2,8,7,5,3,6,4]=>[8,7,1,2,4,6,3,5]=>0000000=>0000000 [5,1,8,7,6,2,4,3]=>[4,8,1,2,3,7,5,6]=>0000000=>0000000 [8,1,7,6,3,4,5,2]=>[1,8,2,3,6,5,4,7]=>1000000=>0000001 [5,7,8,6,2,4,1,3]=>[4,2,1,3,7,5,8,6]=>0001000=>0001000 [5,7,1,6,2,4,3,8]=>[4,2,8,3,7,5,6,1]=>0000000=>0000000 [6,4,1,5,2,7,3,8]=>[3,5,8,4,7,2,6,1]=>0000000=>0000000 [8,1,4,5,3,7,6,2]=>[1,8,5,4,6,2,3,7]=>1000000=>0000001 [6,1,4,5,3,8,7,2]=>[3,8,5,4,6,1,2,7]=>0000000=>0000000 [7,1,4,5,3,8,6,2]=>[2,8,5,4,6,1,3,7]=>0000000=>0000000 [7,1,4,5,3,6,8,2]=>[2,8,5,4,6,3,1,7]=>0000000=>0000000 [7,4,1,5,2,6,3,8]=>[2,5,8,4,7,3,6,1]=>0000000=>0000000 [6,3,5,7,2,1,4,8]=>[3,6,4,2,7,8,5,1]=>0000000=>0000000 [6,3,5,8,2,1,7,4]=>[3,6,4,1,7,8,2,5]=>0000000=>0000000 [6,3,5,7,2,1,8,4]=>[3,6,4,2,7,8,1,5]=>0000000=>0000000 [8,4,5,7,3,6,1,2]=>[1,5,4,2,6,3,8,7]=>1000010=>0100001 [6,4,5,8,3,7,2,1]=>[3,5,4,1,6,2,7,8]=>0000011=>1100000 [5,4,8,6,3,1,7,2]=>[4,5,1,3,6,8,2,7]=>0000000=>0000000 [5,4,1,8,2,3,7,6]=>[4,5,8,1,7,6,2,3]=>0000000=>0000000 [8,4,1,5,2,6,3,7]=>[1,5,8,4,7,3,6,2]=>1000000=>0000001 [6,3,5,8,2,1,4,7]=>[3,6,4,1,7,8,5,2]=>0000000=>0000000 [2,3,8,5,1,4,7,6]=>[7,6,1,4,8,5,2,3]=>0000000=>0000000 [2,3,8,6,1,5,7,4]=>[7,6,1,3,8,4,2,5]=>0000000=>0000000 [2,8,6,7,1,3,5,4]=>[7,1,3,2,8,6,4,5]=>0000000=>0000000 [8,3,5,7,2,1,6,4]=>[1,6,4,2,7,8,3,5]=>1000000=>0000001 [8,4,5,6,3,1,7,2]=>[1,5,4,3,6,8,2,7]=>1000000=>0000001 [7,3,5,6,2,8,1,4]=>[2,6,4,3,7,1,8,5]=>0000000=>0000000 [7,3,5,8,2,1,6,4]=>[2,6,4,1,7,8,3,5]=>0000000=>0000000 [7,3,5,6,2,1,4,8]=>[2,6,4,3,7,8,5,1]=>0000000=>0000000 [2,7,6,5,1,3,4,8]=>[7,2,3,4,8,6,5,1]=>0000000=>0000000 [2,7,6,8,1,3,5,4]=>[7,2,3,1,8,6,4,5]=>0000000=>0000000 [8,7,5,6,1,4,2,3]=>[1,2,4,3,8,5,7,6]=>1101000=>0001011 [2,7,1,3,6,5,8,4]=>[7,2,8,6,3,4,1,5]=>0000000=>0000000 [2,7,6,1,8,3,4,5]=>[7,2,3,8,1,6,5,4]=>0000000=>0000000 [2,7,6,1,4,3,5,8]=>[7,2,3,8,5,6,4,1]=>0000000=>0000000 [7,3,5,1,2,8,4,6]=>[2,6,4,8,7,1,5,3]=>0000000=>0000000 [2,3,8,6,4,1,7,5]=>[7,6,1,3,5,8,2,4]=>0000000=>0000000 [2,8,6,1,7,3,4,5]=>[7,1,3,8,2,6,5,4]=>0000000=>0000000 [2,3,8,1,6,4,7,5]=>[7,6,1,8,3,5,2,4]=>0000000=>0000000 [2,3,8,1,4,5,7,6]=>[7,6,1,8,5,4,2,3]=>0000000=>0000000 [5,2,6,1,4,8,7,3]=>[4,7,3,8,5,1,2,6]=>0000000=>0000000 [5,7,2,3,8,6,1,4]=>[4,2,7,6,1,3,8,5]=>0000000=>0000000 [5,6,2,3,1,8,7,4]=>[4,3,7,6,8,1,2,5]=>0000000=>0000000 [5,6,2,1,3,8,7,4]=>[4,3,7,8,6,1,2,5]=>0000000=>0000000 [5,1,6,4,2,8,7,3]=>[4,8,3,5,7,1,2,6]=>0000000=>0000000 [5,6,1,3,2,8,7,4]=>[4,3,8,6,7,1,2,5]=>0000000=>0000000 [5,6,3,1,2,8,7,4]=>[4,3,6,8,7,1,2,5]=>0000000=>0000000 [5,7,3,2,8,1,6,4]=>[4,2,6,7,1,8,3,5]=>0000000=>0000000 [6,7,3,8,2,1,5,4]=>[3,2,6,1,7,8,4,5]=>0000000=>0000000 [5,7,3,1,8,2,6,4]=>[4,2,6,8,1,7,3,5]=>0000000=>0000000 [5,1,7,4,8,2,6,3]=>[4,8,2,5,1,7,3,6]=>0000000=>0000000 [1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>0000000=>0000000 [5,1,7,4,8,6,2,3]=>[4,8,2,5,1,3,7,6]=>0000000=>0000000 [5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>0000000=>0000000 [6,7,8,3,1,4,2,5]=>[3,2,1,6,8,5,7,4]=>0010000=>0000100 [6,7,1,8,3,5,2,4]=>[3,2,8,1,6,4,7,5]=>0000000=>0000000 [6,1,7,8,4,5,2,3]=>[3,8,2,1,5,4,7,6]=>0000000=>0000000 [1,6,7,8,4,5,3,2]=>[8,3,2,1,5,4,6,7]=>0000000=>0000000 [1,6,7,8,4,3,5,2]=>[8,3,2,1,5,6,4,7]=>0000000=>0000000 [6,1,7,8,4,2,5,3]=>[3,8,2,1,5,7,4,6]=>0000000=>0000000 [6,7,2,8,1,3,5,4]=>[3,2,7,1,8,6,4,5]=>0000000=>0000000 [6,7,2,8,3,5,1,4]=>[3,2,7,1,6,4,8,5]=>0000000=>0000000 [6,2,7,8,4,1,5,3]=>[3,7,2,1,5,8,4,6]=>0000000=>0000000 [6,2,7,8,1,4,5,3]=>[3,7,2,1,8,5,4,6]=>0000000=>0000000 [4,2,1,7,8,5,6,3]=>[5,7,8,2,1,4,3,6]=>0000000=>0000000 [4,1,2,7,8,6,5,3]=>[5,8,7,2,1,3,4,6]=>0000000=>0000000 [6,2,7,8,1,5,4,3]=>[3,7,2,1,8,4,5,6]=>0000000=>0000000 [6,2,7,8,5,1,4,3]=>[3,7,2,1,4,8,5,6]=>0000000=>0000000 [1,6,7,8,3,5,4,2]=>[8,3,2,1,6,4,5,7]=>0000000=>0000000 [6,1,7,8,2,5,4,3]=>[3,8,2,1,7,4,5,6]=>0000000=>0000000 [6,7,8,2,4,1,3,5]=>[3,2,1,7,5,8,6,4]=>0010000=>0000100 [6,7,8,2,4,3,1,5]=>[3,2,1,7,5,6,8,4]=>0010000=>0000100 [6,7,1,8,5,2,3,4]=>[3,2,8,1,4,7,6,5]=>0000000=>0000000 [6,1,7,8,5,2,4,3]=>[3,8,2,1,4,7,5,6]=>0000000=>0000000 [1,6,7,8,5,3,4,2]=>[8,3,2,1,4,6,5,7]=>0000000=>0000000 [6,1,7,8,5,4,2,3]=>[3,8,2,1,4,5,7,6]=>0000000=>0000000 [6,7,1,8,5,3,2,4]=>[3,2,8,1,4,6,7,5]=>0000000=>0000000 [6,7,8,4,1,3,2,5]=>[3,2,1,5,8,6,7,4]=>0010000=>0000100 [3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>0000000=>0000000 [1,5,2,8,6,7,3,4]=>[8,4,7,1,3,2,6,5]=>0000000=>0000000 [2,6,1,8,5,7,3,4]=>[7,3,8,1,4,2,6,5]=>0000000=>0000000 [1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>0000000=>0000000 [3,7,2,6,1,8,4,5]=>[6,2,7,3,8,1,5,4]=>0000000=>0000000 [4,8,1,6,2,7,3,5]=>[5,1,8,3,7,2,6,4]=>0000000=>0000000 [5,8,1,6,2,7,3,4]=>[4,1,8,3,7,2,6,5]=>0000000=>0000000 [4,8,2,6,1,7,3,5]=>[5,1,7,3,8,2,6,4]=>0000000=>0000000 [2,7,3,6,1,8,4,5]=>[7,2,6,3,8,1,5,4]=>0000000=>0000000 [8,6,1,4,3,2,5,7]=>[1,3,8,5,6,7,4,2]=>1000000=>0000001 [3,7,5,1,8,2,4,6]=>[6,2,4,8,1,7,5,3]=>0000000=>0000000 [4,1,5,2,8,7,3,6]=>[5,8,4,7,1,2,6,3]=>0000000=>0000000 [8,1,2,4,6,5,3,7]=>[1,8,7,5,3,4,6,2]=>1000000=>0000001 [8,2,6,5,1,3,4,7]=>[1,7,3,4,8,6,5,2]=>1000000=>0000001 [8,3,1,6,2,5,4,7]=>[1,6,8,3,7,4,5,2]=>1000000=>0000001 [8,1,2,6,4,5,3,7]=>[1,8,7,3,5,4,6,2]=>1000000=>0000001 [8,1,2,5,6,4,3,7]=>[1,8,7,4,3,5,6,2]=>1000000=>0000001 [1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>0000000=>0000000 [1,4,6,8,2,7,3,5]=>[8,5,3,1,7,2,6,4]=>0000000=>0000000 [1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>0000000=>0000000 [5,1,4,7,2,8,3,6]=>[4,8,5,2,7,1,6,3]=>0000000=>0000000 [3,7,5,1,2,8,4,6]=>[6,2,4,8,7,1,5,3]=>0000000=>0000000 [4,1,5,8,2,7,3,6]=>[5,8,4,1,7,2,6,3]=>0000000=>0000000 [1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>0000000=>0000000 [1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>0000000=>0000000 [3,1,2,6,4,8,7,5]=>[6,8,7,3,5,1,2,4]=>0000000=>0000000 [2,1,7,6,3,4,8,5]=>[7,8,2,3,6,5,1,4]=>0000000=>0000000 [3,1,2,7,4,6,8,5]=>[6,8,7,2,5,3,1,4]=>0000000=>0000000 [1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000=>0000000 [5,1,4,2,7,8,3,6]=>[4,8,5,7,2,1,6,3]=>0000000=>0000000 [1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>0000000=>0000000 [1,4,2,6,8,7,3,5]=>[8,5,7,3,1,2,6,4]=>0000000=>0000000 [5,3,7,1,8,2,4,6]=>[4,6,2,8,1,7,5,3]=>0000000=>0000000 [1,7,4,3,2,5,8,6]=>[8,2,5,6,7,4,1,3]=>0000000=>0000000 [4,8,7,2,1,3,5,6]=>[5,1,2,7,8,6,4,3]=>0000000=>0000000 [1,8,7,3,4,2,5,6]=>[8,1,2,6,5,7,4,3]=>0000000=>0000000 [3,1,7,8,2,6,4,5]=>[6,8,2,1,7,3,5,4]=>0000000=>0000000 [1,4,2,7,8,3,6,5]=>[8,5,7,2,1,6,3,4]=>0000000=>0000000 [2,1,8,6,3,4,7,5]=>[7,8,1,3,6,5,2,4]=>0000000=>0000000 [1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>0000000=>0000000 [1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>0000000=>0000000 [1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000=>0000000 [3,1,7,2,8,6,4,5]=>[6,8,2,7,1,3,5,4]=>0000000=>0000000 [1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>0000000=>0000000 [5,7,8,4,2,6,1,3]=>[4,2,1,5,7,3,8,6]=>0000000=>0000000 [6,7,8,4,2,5,1,3]=>[3,2,1,5,7,4,8,6]=>0010000=>0000100 [8,6,3,7,2,1,5,4]=>[1,3,6,2,7,8,4,5]=>1000000=>0000001 [6,7,8,3,2,1,5,4]=>[3,2,1,6,7,8,4,5]=>0010000=>0000100 [2,7,8,4,3,5,6,1]=>[7,2,1,5,6,4,3,8]=>0000001=>1000000 [3,7,8,4,2,5,1,6]=>[6,2,1,5,7,4,8,3]=>0000000=>0000000 [5,6,3,8,2,1,4,7]=>[4,3,6,1,7,8,5,2]=>0000000=>0000000 [2,6,4,7,3,5,8,1]=>[7,3,5,2,6,4,1,8]=>0000001=>1000000 [6,4,3,2,1,7,5,8]=>[3,5,6,7,8,2,4,1]=>0000000=>0000000 [8,4,3,2,1,7,5,6]=>[1,5,6,7,8,2,4,3]=>1000000=>0000001 [8,4,3,2,1,5,7,6]=>[1,5,6,7,8,4,2,3]=>1000000=>0000001 [7,4,3,2,1,5,8,6]=>[2,5,6,7,8,4,1,3]=>0000000=>0000000 [6,4,3,2,1,5,8,7]=>[3,5,6,7,8,4,1,2]=>0000000=>0000000 [3,2,6,4,8,5,1,7]=>[6,7,3,5,1,4,8,2]=>0000000=>0000000 [4,2,1,5,7,3,6,8]=>[5,7,8,4,2,6,3,1]=>0000000=>0000000 [4,5,2,3,7,1,6,8]=>[5,4,7,6,2,8,3,1]=>0000000=>0000000 [4,2,5,3,8,1,6,7]=>[5,7,4,6,1,8,3,2]=>0000000=>0000000 [4,2,5,8,3,1,6,7]=>[5,7,4,1,6,8,3,2]=>0000000=>0000000 [4,1,5,3,8,2,6,7]=>[5,8,4,6,1,7,3,2]=>0000000=>0000000 [4,3,2,7,5,1,6,8]=>[5,6,7,2,4,8,3,1]=>0000000=>0000000 [4,6,7,1,3,2,5,8]=>[5,3,2,8,6,7,4,1]=>0000000=>0000000 [4,5,1,7,3,2,6,8]=>[5,4,8,2,6,7,3,1]=>0000000=>0000000 [3,5,1,4,2,7,6,8]=>[6,4,8,5,7,2,3,1]=>0000000=>0000000 [2,5,1,4,3,7,8,6]=>[7,4,8,5,6,2,1,3]=>0000000=>0000000 [5,2,1,4,3,7,8,6]=>[4,7,8,5,6,2,1,3]=>0000000=>0000000 [5,3,1,4,2,7,6,8]=>[4,6,8,5,7,2,3,1]=>0000000=>0000000 [4,3,1,7,5,2,6,8]=>[5,6,8,2,4,7,3,1]=>0000000=>0000000 [5,3,6,4,1,2,7,8]=>[4,6,3,5,8,7,2,1]=>0000000=>0000000 [4,3,6,1,7,2,5,8]=>[5,6,3,8,2,7,4,1]=>0000000=>0000000 [6,2,4,1,3,7,8,5]=>[3,7,5,8,6,2,1,4]=>0000000=>0000000 [3,6,4,1,2,7,5,8]=>[6,3,5,8,7,2,4,1]=>0000000=>0000000 [4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>0000000=>0000000 [4,5,2,7,3,1,6,8]=>[5,4,7,2,6,8,3,1]=>0000000=>0000000 [4,6,7,2,3,1,5,8]=>[5,3,2,7,6,8,4,1]=>0000000=>0000000 [4,6,2,1,7,3,5,8]=>[5,3,7,8,2,6,4,1]=>0000000=>0000000 [3,2,6,1,4,7,5,8]=>[6,7,3,8,5,2,4,1]=>0000000=>0000000 [7,2,1,4,6,3,8,5]=>[2,7,8,5,3,6,1,4]=>0000000=>0000000 [7,3,1,4,6,8,2,5]=>[2,6,8,5,3,1,7,4]=>0000000=>0000000 [3,6,2,1,5,7,4,8]=>[6,3,7,8,4,2,5,1]=>0000000=>0000000 [7,4,1,5,6,2,3,8]=>[2,5,8,4,3,7,6,1]=>0000000=>0000000 [7,3,1,5,2,6,4,8]=>[2,6,8,4,7,3,5,1]=>0000000=>0000000 [7,2,1,5,3,6,8,4]=>[2,7,8,4,6,3,1,5]=>0000000=>0000000 [6,2,5,1,3,7,8,4]=>[3,7,4,8,6,2,1,5]=>0000000=>0000000 [6,3,5,1,2,7,4,8]=>[3,6,4,8,7,2,5,1]=>0000000=>0000000 [6,4,5,1,7,2,3,8]=>[3,5,4,8,2,7,6,1]=>0000000=>0000000 [4,6,5,1,7,2,3,8]=>[5,3,4,8,2,7,6,1]=>0000000=>0000000 [3,6,5,1,2,7,4,8]=>[6,3,4,8,7,2,5,1]=>0000000=>0000000 [2,4,1,5,3,8,7,6]=>[7,5,8,4,6,1,2,3]=>0000000=>0000000 [3,4,5,1,2,8,7,6]=>[6,5,4,8,7,1,2,3]=>0000000=>0000000 [1,8,4,5,3,2,7,6]=>[8,1,5,4,6,7,2,3]=>0000000=>0000000 [2,4,8,5,3,1,7,6]=>[7,5,1,4,6,8,2,3]=>0000000=>0000000 [3,4,5,2,8,1,7,6]=>[6,5,4,7,1,8,2,3]=>0000000=>0000000 [3,4,6,2,1,7,8,5]=>[6,5,3,7,8,2,1,4]=>0000000=>0000000 [3,4,6,2,1,7,5,8]=>[6,5,3,7,8,2,4,1]=>0000000=>0000000 [3,5,6,2,7,1,8,4]=>[6,4,3,7,2,8,1,5]=>0000000=>0000000 [3,4,6,2,8,7,1,5]=>[6,5,3,7,1,2,8,4]=>0000000=>0000000 [3,4,6,8,2,7,1,5]=>[6,5,3,1,7,2,8,4]=>0000000=>0000000 [2,4,8,6,3,7,1,5]=>[7,5,1,3,6,2,8,4]=>0000000=>0000000 [1,8,4,6,3,7,2,5]=>[8,1,5,3,6,2,7,4]=>0000000=>0000000 [1,8,4,6,3,7,5,2]=>[8,1,5,3,6,2,4,7]=>0000000=>0000000 [3,4,6,8,2,7,5,1]=>[6,5,3,1,7,2,4,8]=>0000001=>1000000 [3,4,6,2,8,7,5,1]=>[6,5,3,7,1,2,4,8]=>0000001=>1000000 [3,5,6,2,7,8,4,1]=>[6,4,3,7,2,1,5,8]=>0000001=>1000000 [3,5,6,2,7,4,1,8]=>[6,4,3,7,2,5,8,1]=>0000000=>0000000 [4,5,6,7,2,8,3,1]=>[5,4,3,2,7,1,6,8]=>0000001=>1000000 [2,5,8,6,7,3,4,1]=>[7,4,1,3,2,6,5,8]=>0000001=>1000000 [1,8,5,6,7,3,2,4]=>[8,1,4,3,2,6,7,5]=>0000000=>0000000 [4,5,6,7,2,1,8,3]=>[5,4,3,2,7,8,1,6]=>0000000=>0000000 [3,4,6,1,8,7,2,5]=>[6,5,3,8,1,2,7,4]=>0000000=>0000000 [2,4,1,6,8,7,3,5]=>[7,5,8,3,1,2,6,4]=>0000000=>0000000 [2,5,1,6,7,8,4,3]=>[7,4,8,3,2,1,5,6]=>0000000=>0000000 [2,5,1,6,7,4,3,8]=>[7,4,8,3,2,5,6,1]=>0000000=>0000000 [3,5,6,1,7,4,2,8]=>[6,4,3,8,2,5,7,1]=>0000000=>0000000 [3,5,6,1,7,4,8,2]=>[6,4,3,8,2,5,1,7]=>0000000=>0000000 [3,4,6,1,8,7,5,2]=>[6,5,3,8,1,2,4,7]=>0000000=>0000000 [3,4,6,8,1,7,5,2]=>[6,5,3,1,8,2,4,7]=>0000000=>0000000 [2,4,8,6,1,7,5,3]=>[7,5,1,3,8,2,4,6]=>0000000=>0000000 [1,8,4,6,2,7,5,3]=>[8,1,5,3,7,2,4,6]=>0000000=>0000000 [1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>0000000=>0000000 [2,5,8,6,7,1,4,3]=>[7,4,1,3,2,8,5,6]=>0000000=>0000000 [4,5,6,7,1,3,8,2]=>[5,4,3,2,8,6,1,7]=>0000000=>0000000 [3,5,6,8,7,4,1,2]=>[6,4,3,1,2,5,8,7]=>0000010=>0100000 [2,5,8,6,7,4,1,3]=>[7,4,1,3,2,5,8,6]=>0000000=>0000000 [1,8,5,6,7,4,2,3]=>[8,1,4,3,2,5,7,6]=>0000000=>0000000 [1,8,5,6,7,4,3,2]=>[8,1,4,3,2,5,6,7]=>0000000=>0000000 [2,5,8,6,7,4,3,1]=>[7,4,1,3,2,5,6,8]=>0000001=>1000000 [8,2,4,3,7,1,6,5]=>[1,7,5,6,2,8,3,4]=>1000000=>0000001 [5,8,2,4,3,7,1,6]=>[4,1,7,5,6,2,8,3]=>0000000=>0000000 [4,2,5,6,1,8,3,7]=>[5,7,4,3,8,1,6,2]=>0000000=>0000000 [4,2,5,6,1,7,3,8]=>[5,7,4,3,8,2,6,1]=>0000000=>0000000 [6,1,5,7,3,2,4,8]=>[3,8,4,2,6,7,5,1]=>0000000=>0000000 [6,1,5,8,3,2,4,7]=>[3,8,4,1,6,7,5,2]=>0000000=>0000000 [3,8,2,4,7,1,5,6]=>[6,1,7,5,2,8,4,3]=>0000000=>0000000 [3,6,8,2,4,7,1,5]=>[6,3,1,7,5,2,8,4]=>0000000=>0000000 [7,3,2,4,6,1,5,8]=>[2,6,7,5,3,8,4,1]=>0000000=>0000000 [3,2,5,1,8,4,6,7]=>[6,7,4,8,1,5,3,2]=>0000000=>0000000 [7,8,3,2,4,6,1,5]=>[2,1,6,7,5,3,8,4]=>0100000=>0000010 [6,1,5,7,8,3,2,4]=>[3,8,4,2,1,6,7,5]=>0000000=>0000000 [4,2,5,6,1,7,8,3]=>[5,7,4,3,8,2,1,6]=>0000000=>0000000 [5,7,6,1,8,3,4,2]=>[4,2,3,8,1,6,5,7]=>0000000=>0000000 [5,8,6,1,7,3,4,2]=>[4,1,3,8,2,6,5,7]=>0000000=>0000000 [6,1,5,8,7,3,2,4]=>[3,8,4,1,2,6,7,5]=>0000000=>0000000 [8,7,3,2,4,6,1,5]=>[1,2,6,7,5,3,8,4]=>1100000=>0000011 [3,2,5,1,8,7,4,6]=>[6,7,4,8,1,2,5,3]=>0000000=>0000000 [3,2,5,1,6,4,7,8]=>[6,7,4,8,3,5,2,1]=>0000000=>0000000 [3,2,4,1,8,7,5,6]=>[6,7,5,8,1,2,4,3]=>0000000=>0000000 [3,2,5,1,6,8,7,4]=>[6,7,4,8,3,1,2,5]=>0000000=>0000000 [3,8,6,5,1,7,4,2]=>[6,1,3,4,8,2,5,7]=>0000000=>0000000 [3,7,6,5,1,8,4,2]=>[6,2,3,4,8,1,5,7]=>0000000=>0000000 [6,5,1,7,8,4,2,3]=>[3,4,8,2,1,5,7,6]=>0000000=>0000000 [3,2,5,1,6,7,8,4]=>[6,7,4,8,3,2,1,5]=>0000000=>0000000 [3,2,4,1,7,5,6,8]=>[6,7,5,8,2,4,3,1]=>0000000=>0000000 [3,2,4,1,6,8,5,7]=>[6,7,5,8,3,1,4,2]=>0000000=>0000000 [8,3,2,4,7,6,1,5]=>[1,6,7,5,2,3,8,4]=>1000000=>0000001 [3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>0000000=>0000000 [3,2,5,1,6,7,4,8]=>[6,7,4,8,3,2,5,1]=>0000000=>0000000 [6,5,1,7,4,2,3,8]=>[3,4,8,2,5,7,6,1]=>0000000=>0000000 [6,5,1,8,4,2,3,7]=>[3,4,8,1,5,7,6,2]=>0000000=>0000000 [8,4,2,3,7,5,1,6]=>[1,5,7,6,2,4,8,3]=>1000000=>0000001 [5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>0000000=>0000000 [5,2,6,1,8,4,7,3]=>[4,7,3,8,1,5,2,6]=>0000000=>0000000 [7,4,2,3,8,5,1,6]=>[2,5,7,6,1,4,8,3]=>0000000=>0000000 [8,5,1,6,4,2,3,7]=>[1,4,8,3,5,7,6,2]=>1000000=>0000001 [3,2,5,1,7,6,4,8]=>[6,7,4,8,2,3,5,1]=>0000000=>0000000 [3,2,5,1,8,6,4,7]=>[6,7,4,8,1,3,5,2]=>0000000=>0000000 [8,6,1,5,7,3,2,4]=>[1,3,8,4,2,6,7,5]=>1000000=>0000001 [8,5,6,1,7,3,4,2]=>[1,4,3,8,2,6,5,7]=>1000000=>0000001 [3,6,8,5,1,7,4,2]=>[6,3,1,4,8,2,5,7]=>0000000=>0000000 [8,5,1,6,7,4,2,3]=>[1,4,8,3,2,5,7,6]=>1000000=>0000001 [3,2,5,1,8,6,7,4]=>[6,7,4,8,1,3,2,5]=>0000000=>0000000 [3,2,4,1,5,8,6,7]=>[6,7,5,8,4,1,3,2]=>0000000=>0000000 [3,2,5,1,7,8,6,4]=>[6,7,4,8,2,1,3,5]=>0000000=>0000000 [8,7,5,1,6,4,2,3]=>[1,2,4,8,3,5,7,6]=>1100000=>0000011 [3,2,5,1,8,7,6,4]=>[6,7,4,8,1,2,3,5]=>0000000=>0000000 [4,6,3,7,1,8,5,2]=>[5,3,6,2,8,1,4,7]=>0000000=>0000000 [4,6,3,7,5,1,8,2]=>[5,3,6,2,4,8,1,7]=>0000000=>0000000 [4,2,6,1,7,5,3,8]=>[5,7,3,8,2,4,6,1]=>0000000=>0000000 [2,5,7,4,1,6,3,8]=>[7,4,2,5,8,3,6,1]=>0000000=>0000000 [2,5,7,4,1,6,8,3]=>[7,4,2,5,8,3,1,6]=>0000000=>0000000 [5,4,7,8,3,1,6,2]=>[4,5,2,1,6,8,3,7]=>0000000=>0000000 [4,3,7,5,1,8,6,2]=>[5,6,2,4,8,1,3,7]=>0000000=>0000000 [6,4,3,8,5,1,7,2]=>[3,5,6,1,4,8,2,7]=>0000000=>0000000 [5,8,4,3,6,1,7,2]=>[4,1,5,6,3,8,2,7]=>0000000=>0000000 [5,4,8,3,6,1,7,2]=>[4,5,1,6,3,8,2,7]=>0000000=>0000000 [2,5,4,6,1,7,3,8]=>[7,4,5,3,8,2,6,1]=>0000000=>0000000 [4,6,2,1,8,5,7,3]=>[5,3,7,8,1,4,2,6]=>0000000=>0000000 [2,4,1,7,5,8,6,3]=>[7,5,8,2,4,1,3,6]=>0000000=>0000000 [2,4,1,7,5,3,8,6]=>[7,5,8,2,4,6,1,3]=>0000000=>0000000 [2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>0000000=>0000000 [5,4,8,2,1,6,3,7]=>[4,5,1,7,8,3,6,2]=>0000000=>0000000 [2,5,8,4,1,6,3,7]=>[7,4,1,5,8,3,6,2]=>0000000=>0000000 [3,2,5,6,1,8,4,7]=>[6,7,4,3,8,1,5,2]=>0000000=>0000000 [4,8,3,2,6,1,5,7]=>[5,1,6,7,3,8,4,2]=>0000000=>0000000 [3,5,2,8,1,6,4,7]=>[6,4,7,1,8,3,5,2]=>0000000=>0000000 [3,2,1,6,8,5,4,7]=>[6,7,8,3,1,4,5,2]=>0000000=>0000000 [3,2,7,1,5,4,8,6]=>[6,7,2,8,4,5,1,3]=>0000000=>0000000 [3,2,7,1,5,8,6,4]=>[6,7,2,8,4,1,3,5]=>0000000=>0000000 [3,8,2,5,1,6,7,4]=>[6,1,7,4,8,3,2,5]=>0000000=>0000000 [4,3,8,2,6,7,1,5]=>[5,6,1,7,3,2,8,4]=>0000000=>0000000 [4,3,2,6,7,8,1,5]=>[5,6,7,3,2,1,8,4]=>0000000=>0000000 [4,3,2,6,7,1,5,8]=>[5,6,7,3,2,8,4,1]=>0000000=>0000000 [4,3,7,8,2,6,1,5]=>[5,6,2,1,7,3,8,4]=>0000000=>0000000 [2,5,7,4,8,1,6,3]=>[7,4,2,5,1,8,3,6]=>0000000=>0000000 [3,2,5,7,1,6,8,4]=>[6,7,4,2,8,3,1,5]=>0000000=>0000000 [3,2,5,7,1,6,4,8]=>[6,7,4,2,8,3,5,1]=>0000000=>0000000 [6,3,2,7,1,5,4,8]=>[3,6,7,2,8,4,5,1]=>0000000=>0000000 [6,3,2,7,1,5,8,4]=>[3,6,7,2,8,4,1,5]=>0000000=>0000000 [6,3,2,7,8,1,5,4]=>[3,6,7,2,1,8,4,5]=>0000000=>0000000 [6,5,2,1,7,8,4,3]=>[3,4,7,8,2,1,5,6]=>0000000=>0000000 [6,2,1,8,5,3,7,4]=>[3,7,8,1,4,6,2,5]=>0000000=>0000000 [6,3,2,7,1,4,8,5]=>[3,6,7,2,8,5,1,4]=>0000000=>0000000 [6,3,2,1,4,7,8,5]=>[3,6,7,8,5,2,1,4]=>0000000=>0000000 [6,3,2,1,4,7,5,8]=>[3,6,7,8,5,2,4,1]=>0000000=>0000000 [3,5,2,1,7,8,4,6]=>[6,4,7,8,2,1,5,3]=>0000000=>0000000 [4,6,2,1,8,3,7,5]=>[5,3,7,8,1,6,2,4]=>0000000=>0000000 [3,2,7,1,4,8,6,5]=>[6,7,2,8,5,1,3,4]=>0000000=>0000000 [3,5,8,2,1,7,4,6]=>[6,4,1,7,8,2,5,3]=>0000000=>0000000 [4,8,3,7,2,1,5,6]=>[5,1,6,2,7,8,4,3]=>0000000=>0000000 [4,3,7,2,8,1,5,6]=>[5,6,2,7,1,8,4,3]=>0000000=>0000000 [4,8,3,2,7,1,5,6]=>[5,1,6,7,2,8,4,3]=>0000000=>0000000 [6,3,2,8,1,4,7,5]=>[3,6,7,1,8,5,2,4]=>0000000=>0000000 [3,2,1,4,7,5,8,6]=>[6,7,8,5,2,4,1,3]=>0000000=>0000000 [5,3,2,1,8,4,6,7]=>[4,6,7,8,1,5,3,2]=>0000000=>0000000 [4,8,3,2,1,5,6,7]=>[5,1,6,7,8,4,3,2]=>0000000=>0000000 [4,3,8,2,1,5,6,7]=>[5,6,1,7,8,4,3,2]=>0000000=>0000000 [6,2,3,1,5,4,8,7]=>[3,7,6,8,4,5,1,2]=>0000000=>0000000 [8,4,5,2,3,1,7,6]=>[1,5,4,7,6,8,2,3]=>1000000=>0000001 [8,2,5,3,4,1,7,6]=>[1,7,4,6,5,8,2,3]=>1000000=>0000001 [6,2,5,3,4,1,8,7]=>[3,7,4,6,5,8,1,2]=>0000000=>0000000 [6,4,5,1,3,2,8,7]=>[3,5,4,8,6,7,1,2]=>0000000=>0000000 [6,1,5,3,4,2,8,7]=>[3,8,4,6,5,7,1,2]=>0000000=>0000000 [8,3,7,2,4,1,6,5]=>[1,6,2,7,5,8,3,4]=>1000000=>0000001 [8,3,5,1,4,2,7,6]=>[1,6,4,8,5,7,2,3]=>1000000=>0000001 [8,4,5,1,3,2,7,6]=>[1,5,4,8,6,7,2,3]=>1000000=>0000001 [2,1,8,4,5,3,7,6]=>[7,8,1,5,4,6,2,3]=>0000000=>0000000 [8,1,7,3,4,2,6,5]=>[1,8,2,6,5,7,3,4]=>1000000=>0000001 [8,2,7,1,4,3,6,5]=>[1,7,2,8,5,6,3,4]=>1000000=>0000001 [8,2,7,3,4,1,6,5]=>[1,7,2,6,5,8,3,4]=>1000000=>0000001 [8,4,7,2,3,1,6,5]=>[1,5,2,7,6,8,3,4]=>1000000=>0000001 [8,2,3,1,5,4,7,6]=>[1,7,6,8,4,5,2,3]=>1000000=>0000001 [4,2,3,1,8,5,7,6]=>[5,7,6,8,1,4,2,3]=>0000000=>0000000 [8,2,3,1,7,5,6,4]=>[1,7,6,8,2,4,3,5]=>1000000=>0000001 [8,6,7,1,3,2,5,4]=>[1,3,2,8,6,7,4,5]=>1010000=>0000101 [8,1,3,2,7,5,6,4]=>[1,8,6,7,2,4,3,5]=>1000000=>0000001 [2,1,8,5,7,3,6,4]=>[7,8,1,4,2,6,3,5]=>0000000=>0000000 [4,5,8,6,3,2,7,1]=>[5,4,1,3,6,7,2,8]=>0000001=>1000000 [1,5,8,7,3,6,2,4]=>[8,4,1,2,6,3,7,5]=>0000000=>0000000 [1,7,2,8,4,6,5,3]=>[8,2,7,1,5,3,4,6]=>0000000=>0000000 [6,7,2,8,4,1,5,3]=>[3,2,7,1,5,8,4,6]=>0000000=>0000000 [3,6,2,8,4,5,7,1]=>[6,3,7,1,5,4,2,8]=>0000001=>1000000 [2,6,1,8,4,5,7,3]=>[7,3,8,1,5,4,2,6]=>0000000=>0000000 [2,8,4,6,1,5,7,3]=>[7,1,5,3,8,4,2,6]=>0000000=>0000000 [6,3,1,8,4,5,7,2]=>[3,6,8,1,5,4,2,7]=>0000000=>0000000 [2,3,6,8,4,5,7,1]=>[7,6,3,1,5,4,2,8]=>0000001=>1000000 [6,3,7,8,4,1,5,2]=>[3,6,2,1,5,8,4,7]=>0000000=>0000000 [1,3,7,8,4,6,5,2]=>[8,6,2,1,5,3,4,7]=>0000000=>0000000 [3,6,7,8,4,2,5,1]=>[6,3,2,1,5,7,4,8]=>0000001=>1000000 [7,6,1,8,4,2,5,3]=>[2,3,8,1,5,7,4,6]=>0000000=>0000000 [2,8,3,7,1,6,5,4]=>[7,1,6,2,8,3,4,5]=>0000000=>0000000 [5,2,8,7,3,6,1,4]=>[4,7,1,2,6,3,8,5]=>0000000=>0000000 [7,2,1,8,4,6,5,3]=>[2,7,8,1,5,3,4,6]=>0000000=>0000000 [3,2,7,8,4,6,5,1]=>[6,7,2,1,5,3,4,8]=>0000001=>1000000 [5,2,7,8,1,4,6,3]=>[4,7,2,1,8,5,3,6]=>0000000=>0000000 [1,2,7,8,5,4,6,3]=>[8,7,2,1,4,5,3,6]=>0000000=>0000000 [7,2,5,8,3,4,6,1]=>[2,7,4,1,6,5,3,8]=>0000001=>1000000 [6,2,8,5,4,3,1,7]=>[3,7,1,4,5,6,8,2]=>0000000=>0000000 [2,8,3,5,4,1,6,7]=>[7,1,6,4,5,8,3,2]=>0000000=>0000000 [2,8,4,5,3,1,6,7]=>[7,1,5,4,6,8,3,2]=>0000000=>0000000 [7,3,5,8,2,4,6,1]=>[2,6,4,1,7,5,3,8]=>0000001=>1000000 [4,3,1,2,8,5,6,7]=>[5,6,8,7,1,4,3,2]=>0000000=>0000000 [2,7,6,8,4,3,5,1]=>[7,2,3,1,5,6,4,8]=>0000001=>1000000 [1,7,5,8,3,4,6,2]=>[8,2,4,1,6,5,3,7]=>0000000=>0000000 [4,6,8,5,1,3,2,7]=>[5,3,1,4,8,6,7,2]=>0000000=>0000000 [2,4,8,3,6,5,1,7]=>[7,5,1,6,3,4,8,2]=>0000000=>0000000 [4,1,8,3,5,6,2,7]=>[5,8,1,6,4,3,7,2]=>0000000=>0000000 [5,6,8,4,1,3,2,7]=>[4,3,1,5,8,6,7,2]=>0000000=>0000000 [4,6,8,1,5,3,2,7]=>[5,3,1,8,4,6,7,2]=>0000000=>0000000 [1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>0000000=>0000000 [1,7,3,8,5,4,6,2]=>[8,2,6,1,4,5,3,7]=>0000000=>0000000 [3,7,1,8,5,4,6,2]=>[6,2,8,1,4,5,3,7]=>0000000=>0000000 [2,7,3,8,4,6,5,1]=>[7,2,6,1,5,3,4,8]=>0000001=>1000000 [2,8,7,4,1,6,5,3]=>[7,1,2,5,8,3,4,6]=>0000000=>0000000 [2,8,5,4,3,1,6,7]=>[7,1,4,5,6,8,3,2]=>0000000=>0000000 [1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000=>0000000 [7,3,2,8,5,4,6,1]=>[2,6,7,1,4,5,3,8]=>0000001=>1000000 [6,4,8,2,5,3,1,7]=>[3,5,1,7,4,6,8,2]=>0000000=>0000000 [2,8,4,3,5,1,6,7]=>[7,1,5,6,4,8,3,2]=>0000000=>0000000 [6,2,8,4,5,3,1,7]=>[3,7,1,5,4,6,8,2]=>0000000=>0000000 [7,2,3,8,5,4,6,1]=>[2,7,6,1,4,5,3,8]=>0000001=>1000000 [4,2,3,1,8,5,6,7]=>[5,7,6,8,1,4,3,2]=>0000000=>0000000 [5,1,3,2,4,8,6,7]=>[4,8,6,7,5,1,3,2]=>0000000=>0000000 [2,8,1,5,3,4,7,6]=>[7,1,8,4,6,5,2,3]=>0000000=>0000000 [1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000=>0000000 [3,5,1,4,8,2,6,7]=>[6,4,8,5,1,7,3,2]=>0000000=>0000000 [1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000=>0000000 [1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000=>0000000 [1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>0000000=>0000000 [1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>0000000=>0000000 [5,1,2,7,4,8,3,6]=>[4,8,7,2,5,1,6,3]=>0000000=>0000000 [8,3,5,1,4,7,2,6]=>[1,6,4,8,5,2,7,3]=>1000000=>0000001 [1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>0000000=>0000000 [1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000=>0000000 [2,8,1,4,3,7,6,5]=>[7,1,8,5,6,2,3,4]=>0000000=>0000000 [7,6,1,4,2,8,3,5]=>[2,3,8,5,7,1,6,4]=>0000000=>0000000 [7,1,6,2,8,4,3,5]=>[2,8,3,7,1,5,6,4]=>0000000=>0000000 [1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000=>0000000 [6,1,2,8,4,3,7,5]=>[3,8,7,1,5,6,2,4]=>0000000=>0000000 [6,4,1,2,8,3,7,5]=>[3,5,8,7,1,6,2,4]=>0000000=>0000000 [7,6,1,3,2,4,8,5]=>[2,3,8,6,7,5,1,4]=>0000000=>0000000 [6,7,1,3,2,4,8,5]=>[3,2,8,6,7,5,1,4]=>0000000=>0000000 [1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000=>0000000 [5,8,1,3,7,2,4,6]=>[4,1,8,6,2,7,5,3]=>0000000=>0000000 [1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000=>0000000 [8,6,1,3,2,4,7,5]=>[1,3,8,6,7,5,2,4]=>1000000=>0000001 [4,2,8,1,7,3,6,5]=>[5,7,1,8,2,6,3,4]=>0000000=>0000000 [7,1,2,8,4,3,6,5]=>[2,8,7,1,5,6,3,4]=>0000000=>0000000 [1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000=>0000000 [1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000=>0000000 [2,8,1,7,5,3,4,6]=>[7,1,8,2,4,6,5,3]=>0000000=>0000000 [8,3,7,1,5,2,4,6]=>[1,6,2,8,4,7,5,3]=>1000000=>0000001 [8,6,1,4,2,7,3,5]=>[1,3,8,5,7,2,6,4]=>1000000=>0000001 [7,1,2,8,6,4,3,5]=>[2,8,7,1,3,5,6,4]=>0000000=>0000000 [3,7,4,8,1,6,2,5]=>[6,2,5,1,8,3,7,4]=>0000000=>0000000 [3,4,8,7,1,6,2,5]=>[6,5,1,2,8,3,7,4]=>0000000=>0000000 [4,2,8,1,7,6,3,5]=>[5,7,1,8,2,3,6,4]=>0000000=>0000000 [2,8,1,7,6,4,3,5]=>[7,1,8,2,3,5,6,4]=>0000000=>0000000 [7,8,3,4,1,5,2,6]=>[2,1,6,5,8,4,7,3]=>0100000=>0000010 [4,7,3,5,1,8,2,6]=>[5,2,6,4,8,1,7,3]=>0000000=>0000000 [4,6,2,5,1,8,3,7]=>[5,3,7,4,8,1,6,2]=>0000000=>0000000 [4,6,2,7,3,8,1,5]=>[5,3,7,2,6,1,8,4]=>0000000=>0000000 [5,6,2,8,3,7,1,4]=>[4,3,7,1,6,2,8,5]=>0000000=>0000000 [4,6,2,8,3,7,1,5]=>[5,3,7,1,6,2,8,4]=>0000000=>0000000 [6,5,3,2,1,4,8,7]=>[3,4,6,7,8,5,1,2]=>0000000=>0000000 [8,7,3,5,2,4,1,6]=>[1,2,6,4,7,5,8,3]=>1100000=>0000011 [6,8,2,4,5,7,3,1]=>[3,1,7,5,4,2,6,8]=>0000001=>1000000 [3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>0000000=>0000000 [8,3,7,4,5,2,1,6]=>[1,6,2,5,4,7,8,3]=>1000000=>0000001 [6,3,8,4,5,7,2,1]=>[3,6,1,5,4,2,7,8]=>0000011=>1100000 [8,1,7,4,3,6,2,5]=>[1,8,2,5,6,3,7,4]=>1000000=>0000001 [8,7,3,5,1,4,2,6]=>[1,2,6,4,8,5,7,3]=>1100000=>0000011 [2,1,6,8,5,7,4,3]=>[7,8,3,1,4,2,5,6]=>0000000=>0000000 [6,8,3,5,1,7,4,2]=>[3,1,6,4,8,2,5,7]=>0000000=>0000000 [2,5,8,4,7,6,3,1]=>[7,4,1,5,2,3,6,8]=>0000001=>1000000 [4,3,8,1,5,6,7,2]=>[5,6,1,8,4,3,2,7]=>0000000=>0000000 [4,8,3,6,1,2,7,5]=>[5,1,6,3,8,7,2,4]=>0000000=>0000000 [3,8,7,4,1,6,2,5]=>[6,1,2,5,8,3,7,4]=>0000000=>0000000 [3,8,1,2,5,6,7,4]=>[6,1,8,7,4,3,2,5]=>0000000=>0000000 [2,8,7,4,5,1,3,6]=>[7,1,2,5,4,8,6,3]=>0000000=>0000000 [8,7,2,4,1,6,3,5]=>[1,2,7,5,8,3,6,4]=>1100000=>0000011 [5,8,3,6,2,4,7,1]=>[4,1,6,3,7,5,2,8]=>0000001=>1000000 [8,6,3,2,1,4,7,5]=>[1,3,6,7,8,5,2,4]=>1000000=>0000001 [8,7,3,5,2,1,4,6]=>[1,2,6,4,7,8,5,3]=>1100000=>0000011 [5,8,3,6,2,1,7,4]=>[4,1,6,3,7,8,2,5]=>0000000=>0000000 [6,1,8,4,5,7,2,3]=>[3,8,1,5,4,2,7,6]=>0000000=>0000000 [6,8,3,5,1,7,2,4]=>[3,1,6,4,8,2,7,5]=>0000000=>0000000 [5,8,3,6,1,2,7,4]=>[4,1,6,3,8,7,2,5]=>0000000=>0000000 [5,8,1,4,7,6,2,3]=>[4,1,8,5,2,3,7,6]=>0000000=>0000000 [4,5,3,8,6,1,7,2]=>[5,4,6,1,3,8,2,7]=>0000000=>0000000 [4,5,7,6,2,3,8,1]=>[5,4,2,3,7,6,1,8]=>0000001=>1000000 [3,5,7,2,6,4,8,1]=>[6,4,2,7,3,5,1,8]=>0000001=>1000000 [2,5,7,3,6,4,8,1]=>[7,4,2,6,3,5,1,8]=>0000001=>1000000 [8,4,3,7,6,1,5,2]=>[1,5,6,2,3,8,4,7]=>1000000=>0000001 [6,7,2,3,5,4,8,1]=>[3,2,7,6,4,5,1,8]=>0000001=>1000000 [5,2,7,3,6,4,8,1]=>[4,7,2,6,3,5,1,8]=>0000001=>1000000 [8,3,4,7,6,1,5,2]=>[1,6,5,2,3,8,4,7]=>1000000=>0000001 [8,2,4,7,1,6,5,3]=>[1,7,5,2,8,3,4,6]=>1000000=>0000001 [3,1,4,7,6,8,5,2]=>[6,8,5,2,3,1,4,7]=>0000000=>0000000 [5,1,7,3,6,8,4,2]=>[4,8,2,6,3,1,5,7]=>0000000=>0000000 [6,7,1,3,5,8,4,2]=>[3,2,8,6,4,1,5,7]=>0000000=>0000000 [4,8,3,7,6,1,5,2]=>[5,1,6,2,3,8,4,7]=>0000000=>0000000 [2,8,4,7,1,6,5,3]=>[7,1,5,2,8,3,4,6]=>0000000=>0000000 [8,1,4,7,2,6,5,3]=>[1,8,5,2,7,3,4,6]=>1000000=>0000001 [8,1,3,2,7,6,5,4]=>[1,8,6,7,2,3,4,5]=>1000000=>0000001 [2,8,3,1,7,6,5,4]=>[7,1,6,8,2,3,4,5]=>0000000=>0000000 [6,7,1,2,8,5,4,3]=>[3,2,8,7,1,4,5,6]=>0000000=>0000000 [8,2,3,1,7,6,5,4]=>[1,7,6,8,2,3,4,5]=>1000000=>0000001 [1,4,2,7,8,6,5,3]=>[8,5,7,2,1,3,4,6]=>0000000=>0000000 [8,4,2,7,1,6,5,3]=>[1,5,7,2,8,3,4,6]=>1000000=>0000001 [8,5,7,2,1,6,4,3]=>[1,4,2,7,8,3,5,6]=>1000000=>0000001 [1,5,7,2,8,6,4,3]=>[8,4,2,7,1,3,5,6]=>0000000=>0000000 [3,5,7,1,6,8,4,2]=>[6,4,2,8,3,1,5,7]=>0000000=>0000000 [6,7,4,5,8,1,3,2]=>[3,2,5,4,1,8,6,7]=>0000100=>0010000 [2,5,7,8,1,6,4,3]=>[7,4,2,1,8,3,5,6]=>0000000=>0000000 [8,4,1,7,2,6,5,3]=>[1,5,8,2,7,3,4,6]=>1000000=>0000001 [6,7,2,8,1,5,4,3]=>[3,2,7,1,8,4,5,6]=>0000000=>0000000 [5,2,7,8,1,6,4,3]=>[4,7,2,1,8,3,5,6]=>0000000=>0000000 [4,2,8,7,1,6,5,3]=>[5,7,1,2,8,3,4,6]=>0000000=>0000000 [1,3,8,2,7,6,5,4]=>[8,6,1,7,2,3,4,5]=>0000000=>0000000 [8,3,1,2,7,6,5,4]=>[1,6,8,7,2,3,4,5]=>1000000=>0000001 [8,2,1,3,7,6,5,4]=>[1,7,8,6,2,3,4,5]=>1000000=>0000001 [2,1,8,3,7,6,5,4]=>[7,8,1,6,2,3,4,5]=>0000000=>0000000 [5,1,7,8,2,6,4,3]=>[4,8,2,1,7,3,5,6]=>0000000=>0000000 [6,7,1,8,2,5,4,3]=>[3,2,8,1,7,4,5,6]=>0000000=>0000000 [4,8,1,7,2,6,5,3]=>[5,1,8,2,7,3,4,6]=>0000000=>0000000 [3,8,1,2,7,6,5,4]=>[6,1,8,7,2,3,4,5]=>0000000=>0000000 [1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>0000000=>0000000 [8,1,4,5,7,6,2,3]=>[1,8,5,4,2,3,7,6]=>1000000=>0000001 [6,4,5,1,8,7,2,3]=>[3,5,4,8,1,2,7,6]=>0000000=>0000000 [2,4,6,1,3,8,7,5]=>[7,5,3,8,6,1,2,4]=>0000000=>0000000 [7,3,1,5,8,2,6,4]=>[2,6,8,4,1,7,3,5]=>0000000=>0000000 [8,1,3,5,7,2,6,4]=>[1,8,6,4,2,7,3,5]=>1000000=>0000001 [8,1,2,5,7,3,6,4]=>[1,8,7,4,2,6,3,5]=>1000000=>0000001 [6,2,5,1,8,3,7,4]=>[3,7,4,8,1,6,2,5]=>0000000=>0000000 [8,1,3,4,2,7,6,5]=>[1,8,6,5,7,2,3,4]=>1000000=>0000001 [3,7,1,2,4,8,6,5]=>[6,2,8,7,5,1,3,4]=>0000000=>0000000 [8,1,4,2,3,7,6,5]=>[1,8,5,7,6,2,3,4]=>1000000=>0000001 [3,5,2,4,1,8,7,6]=>[6,4,7,5,8,1,2,3]=>0000000=>0000000 [8,1,3,2,4,7,6,5]=>[1,8,6,7,5,2,3,4]=>1000000=>0000001 [2,4,3,6,5,8,1,7]=>[7,5,6,3,4,1,8,2]=>0000000=>0000000 [2,4,6,1,5,3,8,7]=>[7,5,3,8,4,6,1,2]=>0000000=>0000000 [4,2,6,5,8,1,7,3]=>[5,7,3,4,1,8,2,6]=>0000000=>0000000 [2,4,1,6,8,5,7,3]=>[7,5,8,3,1,4,2,6]=>0000000=>0000000 [2,4,6,1,8,5,3,7]=>[7,5,3,8,1,4,6,2]=>0000000=>0000000 [2,4,6,8,1,5,3,7]=>[7,5,3,1,8,4,6,2]=>0000000=>0000000 [2,4,3,6,8,1,5,7]=>[7,5,6,3,1,8,4,2]=>0000000=>0000000 [2,4,3,1,6,8,5,7]=>[7,5,6,8,3,1,4,2]=>0000000=>0000000 [2,4,1,3,6,8,7,5]=>[7,5,8,6,3,1,2,4]=>0000000=>0000000 [4,6,5,2,8,7,1,3]=>[5,3,4,7,1,2,8,6]=>0000000=>0000000 [2,4,6,8,1,3,7,5]=>[7,5,3,1,8,6,2,4]=>0000000=>0000000 [4,6,2,8,5,7,1,3]=>[5,3,7,1,4,2,8,6]=>0000000=>0000000 [6,2,4,8,7,1,3,5]=>[3,7,5,1,2,8,6,4]=>0000000=>0000000 [2,6,4,8,1,7,5,3]=>[7,3,5,1,8,2,4,6]=>0000000=>0000000 [2,6,4,8,1,7,3,5]=>[7,3,5,1,8,2,6,4]=>0000000=>0000000 [1,3,7,4,5,8,2,6]=>[8,6,2,5,4,1,7,3]=>0000000=>0000000 [1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000=>0000000 [8,1,6,3,7,2,4,5]=>[1,8,3,6,2,7,5,4]=>1000000=>0000001 [1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>0000000=>0000000 [6,1,7,3,4,8,2,5]=>[3,8,2,6,5,1,7,4]=>0000000=>0000000 [2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>0000000=>0000000 [5,1,4,7,3,8,2,6]=>[4,8,5,2,6,1,7,3]=>0000000=>0000000 [4,3,1,7,5,8,2,6]=>[5,6,8,2,4,1,7,3]=>0000000=>0000000 [2,8,6,3,7,1,4,5]=>[7,1,3,6,2,8,5,4]=>0000000=>0000000 [6,8,1,3,7,2,4,5]=>[3,1,8,6,2,7,5,4]=>0000000=>0000000 [5,8,2,1,7,3,4,6]=>[4,1,7,8,2,6,5,3]=>0000000=>0000000 [5,7,2,1,8,3,4,6]=>[4,2,7,8,1,6,5,3]=>0000000=>0000000 [6,7,1,3,8,2,4,5]=>[3,2,8,6,1,7,5,4]=>0000000=>0000000 [8,5,1,3,7,2,4,6]=>[1,4,8,6,2,7,5,3]=>1000000=>0000001 [1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000=>0000000 [2,6,4,8,7,1,3,5]=>[7,3,5,1,2,8,6,4]=>0000000=>0000000 [1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>0000000=>0000000 [4,3,2,8,7,1,5,6]=>[5,6,7,1,2,8,4,3]=>0000000=>0000000 [5,2,4,8,7,1,3,6]=>[4,7,5,1,2,8,6,3]=>0000000=>0000000 [6,2,8,3,7,1,4,5]=>[3,7,1,6,2,8,5,4]=>0000000=>0000000 [5,1,4,8,7,2,3,6]=>[4,8,5,1,2,7,6,3]=>0000000=>0000000 [3,7,2,1,5,4,8,6]=>[6,2,7,8,4,5,1,3]=>0000000=>0000000 [3,8,2,1,5,4,7,6]=>[6,1,7,8,4,5,2,3]=>0000000=>0000000 [8,3,2,1,6,4,5,7]=>[1,6,7,8,3,5,4,2]=>1000000=>0000001 [8,4,2,5,1,6,3,7]=>[1,5,7,4,8,3,6,2]=>1000000=>0000001 [8,3,2,1,4,6,5,7]=>[1,6,7,8,5,3,4,2]=>1000000=>0000001 [3,8,2,1,4,5,7,6]=>[6,1,7,8,5,4,2,3]=>0000000=>0000000 [3,2,7,1,4,6,8,5]=>[6,7,2,8,5,3,1,4]=>0000000=>0000000 [3,2,8,1,4,6,7,5]=>[6,7,1,8,5,3,2,4]=>0000000=>0000000 [3,8,2,1,4,7,5,6]=>[6,1,7,8,5,2,4,3]=>0000000=>0000000 [3,8,2,1,5,7,4,6]=>[6,1,7,8,4,2,5,3]=>0000000=>0000000 [4,8,2,5,1,7,3,6]=>[5,1,7,4,8,2,6,3]=>0000000=>0000000 [4,7,2,5,1,8,3,6]=>[5,2,7,4,8,1,6,3]=>0000000=>0000000 [3,7,2,1,5,8,4,6]=>[6,2,7,8,4,1,5,3]=>0000000=>0000000 [3,7,2,1,4,8,5,6]=>[6,2,7,8,5,1,4,3]=>0000000=>0000000 [3,2,1,7,5,8,6,4]=>[6,7,8,2,4,1,3,5]=>0000000=>0000000 [4,2,7,6,1,8,3,5]=>[5,7,2,3,8,1,6,4]=>0000000=>0000000 [4,3,7,6,8,1,2,5]=>[5,6,2,3,1,8,7,4]=>0000000=>0000000 [4,3,8,6,7,1,2,5]=>[5,6,1,3,2,8,7,4]=>0000000=>0000000 [3,8,2,1,7,4,5,6]=>[6,1,7,8,2,5,4,3]=>0000000=>0000000 [3,2,8,1,6,4,7,5]=>[6,7,1,8,3,5,2,4]=>0000000=>0000000 [3,2,7,1,6,4,8,5]=>[6,7,2,8,3,5,1,4]=>0000000=>0000000 [4,2,7,6,1,3,8,5]=>[5,7,2,3,8,6,1,4]=>0000000=>0000000 [4,2,8,6,1,3,7,5]=>[5,7,1,3,8,6,2,4]=>0000000=>0000000 [5,7,8,3,4,1,2,6]=>[4,2,1,6,5,8,7,3]=>0000000=>0000000 [4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>0000000=>0000000 [4,2,6,7,1,3,8,5]=>[5,7,3,2,8,6,1,4]=>0000000=>0000000 [3,2,6,1,8,4,7,5]=>[6,7,3,8,1,5,2,4]=>0000000=>0000000 [3,7,2,1,8,5,4,6]=>[6,2,7,8,1,4,5,3]=>0000000=>0000000 [4,7,3,8,5,1,2,6]=>[5,2,6,1,4,8,7,3]=>0000000=>0000000 [4,3,7,8,6,1,2,5]=>[5,6,2,1,3,8,7,4]=>0000000=>0000000 [3,2,7,1,8,6,4,5]=>[6,7,2,8,1,3,5,4]=>0000000=>0000000 [3,2,1,6,8,5,7,4]=>[6,7,8,3,1,4,2,5]=>0000000=>0000000 [3,2,6,1,8,7,4,5]=>[6,7,3,8,1,2,5,4]=>0000000=>0000000 [4,2,6,8,1,7,3,5]=>[5,7,3,1,8,2,6,4]=>0000000=>0000000 [4,3,6,8,7,1,2,5]=>[5,6,3,1,2,8,7,4]=>0000000=>0000000 [4,2,6,7,1,8,3,5]=>[5,7,3,2,8,1,6,4]=>0000000=>0000000 [3,2,6,1,7,8,4,5]=>[6,7,3,8,2,1,5,4]=>0000000=>0000000 [1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>0000000=>0000000 [6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>0000000=>0000000 [4,3,6,1,8,2,7,5]=>[5,6,3,8,1,7,2,4]=>0000000=>0000000 [6,1,5,7,4,3,2,8]=>[3,8,4,2,5,6,7,1]=>0000000=>0000000 [7,1,8,6,4,3,2,5]=>[2,8,1,3,5,6,7,4]=>0000000=>0000000 [4,3,6,1,5,7,2,8]=>[5,6,3,8,4,2,7,1]=>0000000=>0000000 [1,3,6,4,8,7,2,5]=>[8,6,3,5,1,2,7,4]=>0000000=>0000000 [5,1,8,7,4,3,2,6]=>[4,8,1,2,5,6,7,3]=>0000000=>0000000 [6,5,1,8,4,3,2,7]=>[3,4,8,1,5,6,7,2]=>0000000=>0000000 [6,5,7,1,4,3,2,8]=>[3,4,2,8,5,6,7,1]=>0000000=>0000000 [1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000=>0000000 [6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>0000000=>0000000 [4,2,8,5,1,3,7,6]=>[5,7,1,4,8,6,2,3]=>0000000=>0000000 [4,3,6,8,1,7,2,5]=>[5,6,3,1,8,2,7,4]=>0000000=>0000000 [5,3,6,4,1,7,2,8]=>[4,6,3,5,8,2,7,1]=>0000000=>0000000 [1,6,7,4,8,3,5,2]=>[8,3,2,5,1,6,4,7]=>0000000=>0000000 [1,4,6,3,7,5,8,2]=>[8,5,3,6,2,4,1,7]=>0000000=>0000000 [4,6,7,2,5,8,1,3]=>[5,3,2,7,4,1,8,6]=>0000000=>0000000 [2,4,6,1,7,5,3,8]=>[7,5,3,8,2,4,6,1]=>0000000=>0000000 [1,7,5,4,3,8,6,2]=>[8,2,4,5,6,1,3,7]=>0000000=>0000000 [1,5,8,4,3,6,7,2]=>[8,4,1,5,6,3,2,7]=>0000000=>0000000 [5,4,6,2,7,8,1,3]=>[4,5,3,7,2,1,8,6]=>0000000=>0000000 [2,5,4,1,6,7,3,8]=>[7,4,5,8,3,2,6,1]=>0000000=>0000000 [5,6,3,2,7,1,4,8]=>[4,3,6,7,2,8,5,1]=>0000000=>0000000 [5,6,3,2,7,1,8,4]=>[4,3,6,7,2,8,1,5]=>0000000=>0000000 [8,5,6,3,2,7,1,4]=>[1,4,3,6,7,2,8,5]=>1000000=>0000001 [5,4,6,2,8,1,7,3]=>[4,5,3,7,1,8,2,6]=>0000000=>0000000 [2,4,1,7,8,5,3,6]=>[7,5,8,2,1,4,6,3]=>0000000=>0000000 [5,6,3,2,1,8,4,7]=>[4,3,6,7,8,1,5,2]=>0000000=>0000000 [3,5,2,1,6,4,7,8]=>[6,4,7,8,3,5,2,1]=>0000000=>0000000 [6,8,4,3,2,1,5,7]=>[3,1,5,6,7,8,4,2]=>0000000=>0000000 [5,3,8,2,1,6,4,7]=>[4,6,1,7,8,3,5,2]=>0000000=>0000000 [7,3,2,8,5,1,6,4]=>[2,6,7,1,4,8,3,5]=>0000000=>0000000 [8,4,6,3,2,1,7,5]=>[1,5,3,6,7,8,2,4]=>1000000=>0000001 [5,4,7,2,1,8,6,3]=>[4,5,2,7,8,1,3,6]=>0000000=>0000000 [5,7,3,2,1,6,8,4]=>[4,2,6,7,8,3,1,5]=>0000000=>0000000 [6,3,7,2,5,1,8,4]=>[3,6,2,7,4,8,1,5]=>0000000=>0000000 [6,7,8,3,5,2,1,4]=>[3,2,1,6,4,7,8,5]=>0010000=>0000100 [6,2,5,7,8,4,1,3]=>[3,7,4,2,1,5,8,6]=>0000000=>0000000 [2,1,5,7,8,6,3,4]=>[7,8,4,2,1,3,6,5]=>0000000=>0000000 [3,6,7,2,8,1,4,5]=>[6,3,2,7,1,8,5,4]=>0000000=>0000000 [3,2,6,1,7,4,5,8]=>[6,7,3,8,2,5,4,1]=>0000000=>0000000 [2,5,8,4,1,3,7,6]=>[7,4,1,5,8,6,2,3]=>0000000=>0000000 [2,4,1,7,8,3,6,5]=>[7,5,8,2,1,6,3,4]=>0000000=>0000000 [3,6,8,2,1,7,4,5]=>[6,3,1,7,8,2,5,4]=>0000000=>0000000 [5,3,8,2,1,4,7,6]=>[4,6,1,7,8,5,2,3]=>0000000=>0000000 [4,8,7,3,2,1,5,6]=>[5,1,2,6,7,8,4,3]=>0000000=>0000000 [8,4,7,3,2,1,5,6]=>[1,5,2,6,7,8,4,3]=>1000000=>0000001 [8,3,5,2,1,4,7,6]=>[1,6,4,7,8,5,2,3]=>1000000=>0000001 [2,7,6,5,1,8,3,4]=>[7,2,3,4,8,1,6,5]=>0000000=>0000000 [2,7,6,5,1,8,4,3]=>[7,2,3,4,8,1,5,6]=>0000000=>0000000 [2,3,6,5,1,4,8,7]=>[7,6,3,4,8,5,1,2]=>0000000=>0000000 [2,3,6,4,1,5,8,7]=>[7,6,3,5,8,4,1,2]=>0000000=>0000000 [2,7,6,1,4,8,5,3]=>[7,2,3,8,5,1,4,6]=>0000000=>0000000 [7,3,5,1,8,4,2,6]=>[2,6,4,8,1,5,7,3]=>0000000=>0000000 [2,7,6,1,5,8,4,3]=>[7,2,3,8,4,1,5,6]=>0000000=>0000000 [2,7,6,4,1,8,5,3]=>[7,2,3,5,8,1,4,6]=>0000000=>0000000 [2,7,6,4,1,8,3,5]=>[7,2,3,5,8,1,6,4]=>0000000=>0000000 [7,3,5,1,8,6,2,4]=>[2,6,4,8,1,3,7,5]=>0000000=>0000000 [2,3,4,8,7,6,1,5]=>[7,6,5,1,2,3,8,4]=>0000000=>0000000 [2,3,4,8,5,7,1,6]=>[7,6,5,1,4,2,8,3]=>0000000=>0000000 [7,3,5,4,8,1,2,6]=>[2,6,4,5,1,8,7,3]=>0000000=>0000000 [6,4,3,5,8,7,2,1]=>[3,5,6,4,1,2,7,8]=>0000011=>1100000 [2,1,4,5,8,7,3,6]=>[7,8,5,4,1,2,6,3]=>0000000=>0000000 [6,4,3,5,8,7,1,2]=>[3,5,6,4,1,2,8,7]=>0000010=>0100000 [2,3,4,8,7,5,1,6]=>[7,6,5,1,2,4,8,3]=>0000000=>0000000 [2,7,6,5,4,8,1,3]=>[7,2,3,4,5,1,8,6]=>0000000=>0000000 [7,3,5,6,8,1,2,4]=>[2,6,4,3,1,8,7,5]=>0000000=>0000000 [6,4,1,5,8,7,2,3]=>[3,5,8,4,1,2,7,6]=>0000000=>0000000 [6,4,1,5,8,7,3,2]=>[3,5,8,4,1,2,6,7]=>0000000=>0000000 [6,4,1,5,8,3,7,2]=>[3,5,8,4,1,6,2,7]=>0000000=>0000000 [5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>0000000=>0000000 [6,4,1,5,8,3,2,7]=>[3,5,8,4,1,6,7,2]=>0000000=>0000000 [6,3,5,7,8,2,1,4]=>[3,6,4,2,1,7,8,5]=>0000000=>0000000 [5,7,3,6,1,8,4,2]=>[4,2,6,3,8,1,5,7]=>0000000=>0000000 [7,3,5,4,8,6,2,1]=>[2,6,4,5,1,3,7,8]=>0000011=>1100000 [2,3,4,8,5,6,1,7]=>[7,6,5,1,4,3,8,2]=>0000000=>0000000 [2,3,4,8,7,1,6,5]=>[7,6,5,1,2,8,3,4]=>0000000=>0000000 [2,3,4,8,5,1,7,6]=>[7,6,5,1,4,8,2,3]=>0000000=>0000000 [7,4,3,5,8,2,1,6]=>[2,5,6,4,1,7,8,3]=>0000000=>0000000 [7,4,3,5,8,2,6,1]=>[2,5,6,4,1,7,3,8]=>0000001=>1000000 [6,3,5,4,8,2,1,7]=>[3,6,4,5,1,7,8,2]=>0000000=>0000000 [2,3,4,8,5,1,6,7]=>[7,6,5,1,4,8,3,2]=>0000000=>0000000 [6,1,4,2,8,5,7,3]=>[3,8,5,7,1,4,2,6]=>0000000=>0000000 [4,8,6,5,3,2,7,1]=>[5,1,3,4,6,7,2,8]=>0000001=>1000000 [8,6,5,1,2,4,7,3]=>[1,3,4,8,7,5,2,6]=>1000000=>0000001 [1,7,5,8,2,6,4,3]=>[8,2,4,1,7,3,5,6]=>0000000=>0000000 [1,3,8,5,7,6,2,4]=>[8,6,1,4,2,3,7,5]=>0000000=>0000000 [6,3,8,5,7,1,2,4]=>[3,6,1,4,2,8,7,5]=>0000000=>0000000 [6,8,5,2,1,4,7,3]=>[3,1,4,7,8,5,2,6]=>0000000=>0000000 [3,8,2,5,6,1,7,4]=>[6,1,7,4,3,8,2,5]=>0000000=>0000000 [8,1,2,5,6,3,7,4]=>[1,8,7,4,3,6,2,5]=>1000000=>0000001 [8,6,1,5,7,2,3,4]=>[1,3,8,4,2,7,6,5]=>1000000=>0000001 [3,8,6,5,7,1,2,4]=>[6,1,3,4,2,8,7,5]=>0000000=>0000000 [5,1,7,6,8,4,2,3]=>[4,8,2,3,1,5,7,6]=>0000000=>0000000 [5,1,3,7,8,6,2,4]=>[4,8,6,2,1,3,7,5]=>0000000=>0000000 [7,2,5,8,1,6,4,3]=>[2,7,4,1,8,3,5,6]=>0000000=>0000000 [3,2,8,5,7,6,1,4]=>[6,7,1,4,2,3,8,5]=>0000000=>0000000 [8,2,1,5,7,6,3,4]=>[1,7,8,4,2,3,6,5]=>1000000=>0000001 [5,2,8,6,1,7,3,4]=>[4,7,1,3,8,2,6,5]=>0000000=>0000000 [1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>0000000=>0000000 [8,2,5,6,3,7,1,4]=>[1,7,4,3,6,2,8,5]=>1000000=>0000001 [7,2,6,5,4,1,8,3]=>[2,7,3,4,5,8,1,6]=>0000000=>0000000 [6,1,3,5,4,7,8,2]=>[3,8,6,4,5,2,1,7]=>0000000=>0000000 [6,1,5,3,4,7,8,2]=>[3,8,4,6,5,2,1,7]=>0000000=>0000000 [7,5,6,2,4,1,8,3]=>[2,4,3,7,5,8,1,6]=>0000000=>0000000 [8,5,2,6,3,7,1,4]=>[1,4,7,3,6,2,8,5]=>1000000=>0000001 [8,1,6,5,7,3,2,4]=>[1,8,3,4,2,6,7,5]=>1000000=>0000001 [3,5,8,6,2,7,1,4]=>[6,4,1,3,7,2,8,5]=>0000000=>0000000 [1,8,5,6,3,7,2,4]=>[8,1,4,3,6,2,7,5]=>0000000=>0000000 [1,7,6,5,4,2,8,3]=>[8,2,3,4,5,7,1,6]=>0000000=>0000000 [5,7,6,1,4,2,8,3]=>[4,2,3,8,5,7,1,6]=>0000000=>0000000 [7,1,4,2,6,5,8,3]=>[2,8,5,7,3,4,1,6]=>0000000=>0000000 [2,7,4,1,5,6,8,3]=>[7,2,5,8,4,3,1,6]=>0000000=>0000000 [5,7,6,4,1,2,8,3]=>[4,2,3,5,8,7,1,6]=>0000000=>0000000 [4,7,6,1,5,2,8,3]=>[5,2,3,8,4,7,1,6]=>0000000=>0000000 [1,7,6,4,5,2,8,3]=>[8,2,3,5,4,7,1,6]=>0000000=>0000000 [3,8,1,6,5,7,2,4]=>[6,1,8,3,4,2,7,5]=>0000000=>0000000 [8,1,3,5,7,6,2,4]=>[1,8,6,4,2,3,7,5]=>1000000=>0000001 [7,8,5,4,1,6,2,3]=>[2,1,4,5,8,3,7,6]=>0100000=>0000010 [6,1,5,4,3,7,8,2]=>[3,8,4,5,6,2,1,7]=>0000000=>0000000 [7,5,6,4,2,1,8,3]=>[2,4,3,5,7,8,1,6]=>0000000=>0000000 [8,3,2,6,5,7,1,4]=>[1,6,7,3,4,2,8,5]=>1000000=>0000001 [7,4,6,2,5,1,8,3]=>[2,5,3,7,4,8,1,6]=>0000000=>0000000 [6,1,4,3,5,7,8,2]=>[3,8,5,6,4,2,1,7]=>0000000=>0000000 [6,1,3,4,5,7,8,2]=>[3,8,6,5,4,2,1,7]=>0000000=>0000000 [7,2,6,4,5,1,8,3]=>[2,7,3,5,4,8,1,6]=>0000000=>0000000 [8,2,3,6,5,7,1,4]=>[1,7,6,3,4,2,8,5]=>1000000=>0000001 [2,1,4,3,6,5,8,7,11,12,10,9]=>[11,12,9,10,7,8,5,6,2,1,3,4]=>00000000000=>00000000000 [2,1,4,3,6,5,9,10,8,7,12,11]=>[11,12,9,10,7,8,4,3,5,6,1,2]=>00000000000=>00000000000 [2,1,4,3,6,5,9,11,8,12,10,7]=>[11,12,9,10,7,8,4,2,5,1,3,6]=>00000000000=>00000000000 [2,1,4,3,6,5,10,11,12,9,8,7]=>[11,12,9,10,7,8,3,2,1,4,5,6]=>00000000000=>00000000000 [2,1,4,3,7,8,6,5,10,9,12,11]=>[11,12,9,10,6,5,7,8,3,4,1,2]=>00000000000=>00000000000 [2,1,4,3,7,8,6,5,11,12,10,9]=>[11,12,9,10,6,5,7,8,2,1,3,4]=>00000000000=>00000000000 [2,1,4,3,7,9,6,10,8,5,12,11]=>[11,12,9,10,6,4,7,3,5,8,1,2]=>00000000000=>00000000000 [2,1,4,3,7,9,6,11,8,12,10,5]=>[11,12,9,10,6,4,7,2,5,1,3,8]=>00000000000=>00000000000 [2,1,4,3,7,10,6,11,12,9,8,5]=>[11,12,9,10,6,3,7,2,1,4,5,8]=>00000000000=>00000000000 [2,1,4,3,8,9,10,7,6,5,12,11]=>[11,12,9,10,5,4,3,6,7,8,1,2]=>00000000000=>00000000000 [2,1,4,3,8,9,11,7,6,12,10,5]=>[11,12,9,10,5,4,2,6,7,1,3,8]=>00000000000=>00000000000 [2,1,4,3,8,10,11,7,12,9,6,5]=>[11,12,9,10,5,3,2,6,1,4,7,8]=>00000000000=>00000000000 [2,1,4,3,9,10,11,12,8,7,6,5]=>[11,12,9,10,4,3,2,1,5,6,7,8]=>00000000000=>00000000000 [2,1,5,6,4,3,8,7,10,9,12,11]=>[11,12,8,7,9,10,5,6,3,4,1,2]=>00000000000=>00000000000 [2,1,5,6,4,3,8,7,11,12,10,9]=>[11,12,8,7,9,10,5,6,2,1,3,4]=>00000000000=>00000000000 [2,1,5,6,4,3,9,10,8,7,12,11]=>[11,12,8,7,9,10,4,3,5,6,1,2]=>00000000000=>00000000000 [2,1,5,6,4,3,9,11,8,12,10,7]=>[11,12,8,7,9,10,4,2,5,1,3,6]=>00000000000=>00000000000 [2,1,5,6,4,3,10,11,12,9,8,7]=>[11,12,8,7,9,10,3,2,1,4,5,6]=>00000000000=>00000000000 [2,1,5,7,4,8,6,3,10,9,12,11]=>[11,12,8,6,9,5,7,10,3,4,1,2]=>00000000000=>00000000000 [2,1,5,7,4,8,6,3,11,12,10,9]=>[11,12,8,6,9,5,7,10,2,1,3,4]=>00000000000=>00000000000 [2,1,5,7,4,9,6,10,8,3,12,11]=>[11,12,8,6,9,4,7,3,5,10,1,2]=>00000000000=>00000000000 [2,1,5,7,4,9,6,11,8,12,10,3]=>[11,12,8,6,9,4,7,2,5,1,3,10]=>00000000000=>00000000000 [2,1,5,7,4,10,6,11,12,9,8,3]=>[11,12,8,6,9,3,7,2,1,4,5,10]=>00000000000=>00000000000 [2,1,5,8,4,9,10,7,6,3,12,11]=>[11,12,8,5,9,4,3,6,7,10,1,2]=>00000000000=>00000000000 [2,1,5,8,4,9,11,7,6,12,10,3]=>[11,12,8,5,9,4,2,6,7,1,3,10]=>00000000000=>00000000000 [2,1,5,8,4,10,11,7,12,9,6,3]=>[11,12,8,5,9,3,2,6,1,4,7,10]=>00000000000=>00000000000 [2,1,5,9,4,10,11,12,8,7,6,3]=>[11,12,8,4,9,3,2,1,5,6,7,10]=>00000000000=>00000000000 [2,1,6,7,8,5,4,3,10,9,12,11]=>[11,12,7,6,5,8,9,10,3,4,1,2]=>00000000000=>00000000000 [2,1,6,7,8,5,4,3,11,12,10,9]=>[11,12,7,6,5,8,9,10,2,1,3,4]=>00000000000=>00000000000 [2,1,6,7,9,5,4,10,8,3,12,11]=>[11,12,7,6,4,8,9,3,5,10,1,2]=>00000000000=>00000000000 [2,1,6,7,9,5,4,11,8,12,10,3]=>[11,12,7,6,4,8,9,2,5,1,3,10]=>00000000000=>00000000000 [2,1,6,7,10,5,4,11,12,9,8,3]=>[11,12,7,6,3,8,9,2,1,4,5,10]=>00000000000=>00000000000 [2,1,6,8,9,5,10,7,4,3,12,11]=>[11,12,7,5,4,8,3,6,9,10,1,2]=>00000000000=>00000000000 [2,1,6,8,9,5,11,7,4,12,10,3]=>[11,12,7,5,4,8,2,6,9,1,3,10]=>00000000000=>00000000000 [2,1,6,8,10,5,11,7,12,9,4,3]=>[11,12,7,5,3,8,2,6,1,4,9,10]=>00000000000=>00000000000 [2,1,6,9,10,5,11,12,8,7,4,3]=>[11,12,7,4,3,8,2,1,5,6,9,10]=>00000000000=>00000000000 [2,1,7,8,9,10,6,5,4,3,12,11]=>[11,12,6,5,4,3,7,8,9,10,1,2]=>00000000000=>00000000000 [2,1,7,8,9,11,6,5,4,12,10,3]=>[11,12,6,5,4,2,7,8,9,1,3,10]=>00000000000=>00000000000 [2,1,7,8,10,11,6,5,12,9,4,3]=>[11,12,6,5,3,2,7,8,1,4,9,10]=>00000000000=>00000000000 [2,1,7,9,10,11,6,12,8,5,4,3]=>[11,12,6,4,3,2,7,1,5,8,9,10]=>00000000000=>00000000000 [2,1,8,9,10,11,12,7,6,5,4,3]=>[11,12,5,4,3,2,1,6,7,8,9,10]=>00000000000=>00000000000 [3,4,2,1,6,5,8,7,10,9,12,11]=>[10,9,11,12,7,8,5,6,3,4,1,2]=>00000000000=>00000000000 [3,4,2,1,6,5,8,7,11,12,10,9]=>[10,9,11,12,7,8,5,6,2,1,3,4]=>00000000000=>00000000000 [3,4,2,1,6,5,9,10,8,7,12,11]=>[10,9,11,12,7,8,4,3,5,6,1,2]=>00000000000=>00000000000 [3,4,2,1,6,5,9,11,8,12,10,7]=>[10,9,11,12,7,8,4,2,5,1,3,6]=>00000000000=>00000000000 [3,4,2,1,6,5,10,11,12,9,8,7]=>[10,9,11,12,7,8,3,2,1,4,5,6]=>00000000000=>00000000000 [3,4,2,1,7,8,6,5,10,9,12,11]=>[10,9,11,12,6,5,7,8,3,4,1,2]=>00000000000=>00000000000 [3,4,2,1,7,8,6,5,11,12,10,9]=>[10,9,11,12,6,5,7,8,2,1,3,4]=>00000000000=>00000000000 [3,4,2,1,7,9,6,10,8,5,12,11]=>[10,9,11,12,6,4,7,3,5,8,1,2]=>00000000000=>00000000000 [3,4,2,1,7,9,6,11,8,12,10,5]=>[10,9,11,12,6,4,7,2,5,1,3,8]=>00000000000=>00000000000 [3,4,2,1,7,10,6,11,12,9,8,5]=>[10,9,11,12,6,3,7,2,1,4,5,8]=>00000000000=>00000000000 [3,4,2,1,8,9,10,7,6,5,12,11]=>[10,9,11,12,5,4,3,6,7,8,1,2]=>00000000000=>00000000000 [3,4,2,1,8,9,11,7,6,12,10,5]=>[10,9,11,12,5,4,2,6,7,1,3,8]=>00000000000=>00000000000 [3,4,2,1,8,10,11,7,12,9,6,5]=>[10,9,11,12,5,3,2,6,1,4,7,8]=>00000000000=>00000000000 [3,4,2,1,9,10,11,12,8,7,6,5]=>[10,9,11,12,4,3,2,1,5,6,7,8]=>00000000000=>00000000000 [3,5,2,6,4,1,8,7,10,9,12,11]=>[10,8,11,7,9,12,5,6,3,4,1,2]=>00000000000=>00000000000 [3,5,2,6,4,1,8,7,11,12,10,9]=>[10,8,11,7,9,12,5,6,2,1,3,4]=>00000000000=>00000000000 [3,5,2,6,4,1,9,10,8,7,12,11]=>[10,8,11,7,9,12,4,3,5,6,1,2]=>00000000000=>00000000000 [3,5,2,6,4,1,9,11,8,12,10,7]=>[10,8,11,7,9,12,4,2,5,1,3,6]=>00000000000=>00000000000 [3,5,2,6,4,1,10,11,12,9,8,7]=>[10,8,11,7,9,12,3,2,1,4,5,6]=>00000000000=>00000000000 [3,5,2,7,4,8,6,1,10,9,12,11]=>[10,8,11,6,9,5,7,12,3,4,1,2]=>00000000000=>00000000000 [3,5,2,7,4,8,6,1,11,12,10,9]=>[10,8,11,6,9,5,7,12,2,1,3,4]=>00000000000=>00000000000 [3,5,2,7,4,9,6,10,8,1,12,11]=>[10,8,11,6,9,4,7,3,5,12,1,2]=>00000000000=>00000000000 [3,5,2,7,4,9,6,11,8,12,10,1]=>[10,8,11,6,9,4,7,2,5,1,3,12]=>00000000001=>10000000000 [3,5,2,7,4,10,6,11,12,9,8,1]=>[10,8,11,6,9,3,7,2,1,4,5,12]=>00000000001=>10000000000 [3,5,2,8,4,9,10,7,6,1,12,11]=>[10,8,11,5,9,4,3,6,7,12,1,2]=>00000000000=>00000000000 [3,5,2,8,4,9,11,7,6,12,10,1]=>[10,8,11,5,9,4,2,6,7,1,3,12]=>00000000001=>10000000000 [3,5,2,8,4,10,11,7,12,9,6,1]=>[10,8,11,5,9,3,2,6,1,4,7,12]=>00000000001=>10000000000 [3,5,2,9,4,10,11,12,8,7,6,1]=>[10,8,11,4,9,3,2,1,5,6,7,12]=>00000000001=>10000000000 [3,6,2,7,8,5,4,1,10,9,12,11]=>[10,7,11,6,5,8,9,12,3,4,1,2]=>00000000000=>00000000000 [3,6,2,7,8,5,4,1,11,12,10,9]=>[10,7,11,6,5,8,9,12,2,1,3,4]=>00000000000=>00000000000 [3,6,2,7,9,5,4,10,8,1,12,11]=>[10,7,11,6,4,8,9,3,5,12,1,2]=>00000000000=>00000000000 [3,6,2,7,9,5,4,11,8,12,10,1]=>[10,7,11,6,4,8,9,2,5,1,3,12]=>00000000001=>10000000000 [3,6,2,7,10,5,4,11,12,9,8,1]=>[10,7,11,6,3,8,9,2,1,4,5,12]=>00000000001=>10000000000 [3,6,2,8,9,5,10,7,4,1,12,11]=>[10,7,11,5,4,8,3,6,9,12,1,2]=>00000000000=>00000000000 [3,6,2,8,9,5,11,7,4,12,10,1]=>[10,7,11,5,4,8,2,6,9,1,3,12]=>00000000001=>10000000000 [3,6,2,8,10,5,11,7,12,9,4,1]=>[10,7,11,5,3,8,2,6,1,4,9,12]=>00000000001=>10000000000 [3,6,2,9,10,5,11,12,8,7,4,1]=>[10,7,11,4,3,8,2,1,5,6,9,12]=>00000000001=>10000000000 [3,7,2,8,9,10,6,5,4,1,12,11]=>[10,6,11,5,4,3,7,8,9,12,1,2]=>00000000000=>00000000000 [3,7,2,8,9,11,6,5,4,12,10,1]=>[10,6,11,5,4,2,7,8,9,1,3,12]=>00000000001=>10000000000 [3,7,2,8,10,11,6,5,12,9,4,1]=>[10,6,11,5,3,2,7,8,1,4,9,12]=>00000000001=>10000000000 [3,7,2,9,10,11,6,12,8,5,4,1]=>[10,6,11,4,3,2,7,1,5,8,9,12]=>00000000001=>10000000000 [3,8,2,9,10,11,12,7,6,5,4,1]=>[10,5,11,4,3,2,1,6,7,8,9,12]=>00000000001=>10000000000 [4,5,6,3,2,1,8,7,10,9,12,11]=>[9,8,7,10,11,12,5,6,3,4,1,2]=>00000000000=>00000000000 [4,5,6,3,2,1,8,7,11,12,10,9]=>[9,8,7,10,11,12,5,6,2,1,3,4]=>00000000000=>00000000000 [4,5,6,3,2,1,9,10,8,7,12,11]=>[9,8,7,10,11,12,4,3,5,6,1,2]=>00000000000=>00000000000 [4,5,6,3,2,1,9,11,8,12,10,7]=>[9,8,7,10,11,12,4,2,5,1,3,6]=>00000000000=>00000000000 [4,5,6,3,2,1,10,11,12,9,8,7]=>[9,8,7,10,11,12,3,2,1,4,5,6]=>00000000000=>00000000000 [4,5,7,3,2,8,6,1,10,9,12,11]=>[9,8,6,10,11,5,7,12,3,4,1,2]=>00000000000=>00000000000 [4,5,7,3,2,8,6,1,11,12,10,9]=>[9,8,6,10,11,5,7,12,2,1,3,4]=>00000000000=>00000000000 [4,5,7,3,2,9,6,10,8,1,12,11]=>[9,8,6,10,11,4,7,3,5,12,1,2]=>00000000000=>00000000000 [4,5,7,3,2,9,6,11,8,12,10,1]=>[9,8,6,10,11,4,7,2,5,1,3,12]=>00000000001=>10000000000 [4,5,7,3,2,10,6,11,12,9,8,1]=>[9,8,6,10,11,3,7,2,1,4,5,12]=>00000000001=>10000000000 [4,5,8,3,2,9,10,7,6,1,12,11]=>[9,8,5,10,11,4,3,6,7,12,1,2]=>00000000000=>00000000000 [4,5,8,3,2,9,11,7,6,12,10,1]=>[9,8,5,10,11,4,2,6,7,1,3,12]=>00000000001=>10000000000 [4,5,8,3,2,10,11,7,12,9,6,1]=>[9,8,5,10,11,3,2,6,1,4,7,12]=>00000000001=>10000000000 [4,5,9,3,2,10,11,12,8,7,6,1]=>[9,8,4,10,11,3,2,1,5,6,7,12]=>00000000001=>10000000000 [4,6,7,3,8,5,2,1,10,9,12,11]=>[9,7,6,10,5,8,11,12,3,4,1,2]=>00000000000=>00000000000 [4,6,7,3,8,5,2,1,11,12,10,9]=>[9,7,6,10,5,8,11,12,2,1,3,4]=>00000000000=>00000000000 [4,6,7,3,9,5,2,10,8,1,12,11]=>[9,7,6,10,4,8,11,3,5,12,1,2]=>00000000000=>00000000000 [4,6,7,3,9,5,2,11,8,12,10,1]=>[9,7,6,10,4,8,11,2,5,1,3,12]=>00000000001=>10000000000 [4,6,7,3,10,5,2,11,12,9,8,1]=>[9,7,6,10,3,8,11,2,1,4,5,12]=>00000000001=>10000000000 [4,6,8,3,9,5,10,7,2,1,12,11]=>[9,7,5,10,4,8,3,6,11,12,1,2]=>00000000000=>00000000000 [4,6,8,3,9,5,11,7,2,12,10,1]=>[9,7,5,10,4,8,2,6,11,1,3,12]=>00000000001=>10000000000 [4,6,8,3,10,5,11,7,12,9,2,1]=>[9,7,5,10,3,8,2,6,1,4,11,12]=>00000000011=>11000000000 [4,6,9,3,10,5,11,12,8,7,2,1]=>[9,7,4,10,3,8,2,1,5,6,11,12]=>00000000011=>11000000000 [4,7,8,3,9,10,6,5,2,1,12,11]=>[9,6,5,10,4,3,7,8,11,12,1,2]=>00000000000=>00000000000 [4,7,8,3,9,11,6,5,2,12,10,1]=>[9,6,5,10,4,2,7,8,11,1,3,12]=>00000000001=>10000000000 [4,7,8,3,10,11,6,5,12,9,2,1]=>[9,6,5,10,3,2,7,8,1,4,11,12]=>00000000011=>11000000000 [4,7,9,3,10,11,6,12,8,5,2,1]=>[9,6,4,10,3,2,7,1,5,8,11,12]=>00000000011=>11000000000 [4,8,9,3,10,11,12,7,6,5,2,1]=>[9,5,4,10,3,2,1,6,7,8,11,12]=>00000000011=>11000000000 [5,6,7,8,4,3,2,1,10,9,12,11]=>[8,7,6,5,9,10,11,12,3,4,1,2]=>00000000000=>00000000000 [5,6,7,8,4,3,2,1,11,12,10,9]=>[8,7,6,5,9,10,11,12,2,1,3,4]=>00000000000=>00000000000 [5,6,7,9,4,3,2,10,8,1,12,11]=>[8,7,6,4,9,10,11,3,5,12,1,2]=>00000000000=>00000000000 [5,6,7,9,4,3,2,11,8,12,10,1]=>[8,7,6,4,9,10,11,2,5,1,3,12]=>00000000001=>10000000000 [5,6,7,10,4,3,2,11,12,9,8,1]=>[8,7,6,3,9,10,11,2,1,4,5,12]=>00000000001=>10000000000 [5,6,8,9,4,3,10,7,2,1,12,11]=>[8,7,5,4,9,10,3,6,11,12,1,2]=>00000000000=>00000000000 [5,6,8,9,4,3,11,7,2,12,10,1]=>[8,7,5,4,9,10,2,6,11,1,3,12]=>00000000001=>10000000000 [5,6,8,10,4,3,11,7,12,9,2,1]=>[8,7,5,3,9,10,2,6,1,4,11,12]=>00000000011=>11000000000 [5,6,9,10,4,3,11,12,8,7,2,1]=>[8,7,4,3,9,10,2,1,5,6,11,12]=>00000000011=>11000000000 [5,7,8,9,4,10,6,3,2,1,12,11]=>[8,6,5,4,9,3,7,10,11,12,1,2]=>00000000000=>00000000000 [5,7,8,9,4,11,6,3,2,12,10,1]=>[8,6,5,4,9,2,7,10,11,1,3,12]=>00000000001=>10000000000 [5,7,8,10,4,11,6,3,12,9,2,1]=>[8,6,5,3,9,2,7,10,1,4,11,12]=>00000000011=>11000000000 [6,7,8,9,10,5,4,3,2,1,12,11]=>[7,6,5,4,3,8,9,10,11,12,1,2]=>00000000000=>00000000000 [6,7,8,9,11,5,4,3,2,12,10,1]=>[7,6,5,4,2,8,9,10,11,1,3,12]=>00000000001=>10000000000 [6,7,8,10,11,5,4,3,12,9,2,1]=>[7,6,5,3,2,8,9,10,1,4,11,12]=>00000000011=>11000000000 [7,8,9,10,11,12,6,5,4,3,2,1]=>[6,5,4,3,2,1,7,8,9,10,11,12]=>00000111111=>11111100000 [4,8,7,3,1,6,5,2]=>[5,1,2,6,8,3,4,7]=>0000000=>0000000 [4,8,7,3,2,6,5,1]=>[5,1,2,6,7,3,4,8]=>0000001=>1000000 [4,8,7,3,6,1,5,2]=>[5,1,2,6,3,8,4,7]=>0000000=>0000000 [5,8,7,6,4,2,1,3]=>[4,1,2,3,5,7,8,6]=>0001100=>0011000 [7,3,4,2,1,6,5,8]=>[2,6,5,7,8,3,4,1]=>0000000=>0000000 [7,3,5,2,6,1,4,8]=>[2,6,4,7,3,8,5,1]=>0000000=>0000000 [7,3,5,2,6,4,1,8]=>[2,6,4,7,3,5,8,1]=>0000000=>0000000 [7,2,1,5,6,4,3,8]=>[2,7,8,4,3,5,6,1]=>0000000=>0000000 [7,3,5,1,6,4,2,8]=>[2,6,4,8,3,5,7,1]=>0000000=>0000000 [7,4,5,6,1,3,2,8]=>[2,5,4,3,8,6,7,1]=>0000000=>0000000 [1,4,5,7,3,2,8,6]=>[8,5,4,2,6,7,1,3]=>0000000=>0000000 [6,4,5,7,3,1,8,2]=>[3,5,4,2,6,8,1,7]=>0000000=>0000000 [6,3,5,1,7,4,8,2]=>[3,6,4,8,2,5,1,7]=>0000000=>0000000 [6,2,1,5,7,4,8,3]=>[3,7,8,4,2,5,1,6]=>0000000=>0000000 [3,2,1,5,7,4,8,6]=>[6,7,8,4,2,5,1,3]=>0000000=>0000000 [2,4,6,7,3,8,1,5]=>[7,5,3,2,6,1,8,4]=>0000000=>0000000 [1,4,6,7,3,8,5,2]=>[8,5,3,2,6,1,4,7]=>0000000=>0000000 [2,5,6,7,8,3,1,4]=>[7,4,3,2,1,6,8,5]=>0000000=>0000000 [3,2,1,6,7,8,4,5]=>[6,7,8,3,2,1,5,4]=>0000000=>0000000 [5,2,1,6,7,8,4,3]=>[4,7,8,3,2,1,5,6]=>0000000=>0000000 [5,3,6,1,7,8,4,2]=>[4,6,3,8,2,1,5,7]=>0000000=>0000000 [5,4,6,7,1,8,3,2]=>[4,5,3,2,8,1,6,7]=>0000000=>0000000 [6,4,5,7,2,1,8,3]=>[3,5,4,2,7,8,1,6]=>0000000=>0000000 [5,4,6,7,2,8,3,1]=>[4,5,3,2,7,1,6,8]=>0000001=>1000000 [5,3,6,2,7,8,4,1]=>[4,6,3,7,2,1,5,8]=>0000001=>1000000 [5,3,6,2,7,8,1,4]=>[4,6,3,7,2,1,8,5]=>0000000=>0000000 [6,3,5,2,7,1,8,4]=>[3,6,4,7,2,8,1,5]=>0000000=>0000000 [5,3,4,1,2,7,8,6]=>[4,6,5,8,7,2,1,3]=>0000000=>0000000 [4,3,6,2,7,8,1,5]=>[5,6,3,7,2,1,8,4]=>0000000=>0000000 [4,3,6,2,7,8,5,1]=>[5,6,3,7,2,1,4,8]=>0000001=>1000000 [1,3,6,2,7,8,5,4]=>[8,6,3,7,2,1,4,5]=>0000000=>0000000 [1,4,6,7,2,8,5,3]=>[8,5,3,2,7,1,4,6]=>0000000=>0000000 [3,4,6,7,2,8,5,1]=>[6,5,3,2,7,1,4,8]=>0000001=>1000000 [3,4,5,7,2,1,8,6]=>[6,5,4,2,7,8,1,3]=>0000000=>0000000 [4,2,1,5,7,3,8,6]=>[5,7,8,4,2,6,1,3]=>0000000=>0000000 [4,2,1,6,7,8,3,5]=>[5,7,8,3,2,1,6,4]=>0000000=>0000000 [4,3,6,1,7,8,2,5]=>[5,6,3,8,2,1,7,4]=>0000000=>0000000 [1,5,6,7,8,2,4,3]=>[8,4,3,2,1,7,5,6]=>0000000=>0000000 [1,5,6,7,8,4,2,3]=>[8,4,3,2,1,5,7,6]=>0000000=>0000000 [4,3,6,1,7,8,5,2]=>[5,6,3,8,2,1,4,7]=>0000000=>0000000 [4,2,1,6,7,8,5,3]=>[5,7,8,3,2,1,4,6]=>0000000=>0000000 [2,4,6,7,1,8,5,3]=>[7,5,3,2,8,1,4,6]=>0000000=>0000000 [2,5,6,7,8,1,4,3]=>[7,4,3,2,1,8,5,6]=>0000000=>0000000 [1,4,3,7,6,8,2,5]=>[8,5,6,2,3,1,7,4]=>0000000=>0000000 [6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]=>0000000=>0000000 [3,7,8,4,5,2,6,1]=>[6,2,1,5,4,7,3,8]=>0000001=>1000000 [7,8,1,4,5,3,6,2]=>[2,1,8,5,4,6,3,7]=>0100000=>0000010 [5,8,1,4,7,6,3,2]=>[4,1,8,5,2,3,6,7]=>0000000=>0000000 [7,5,1,8,6,2,4,3]=>[2,4,8,1,3,7,5,6]=>0000000=>0000000 [7,4,1,8,2,6,3,5]=>[2,5,8,1,7,3,6,4]=>0000000=>0000000 [7,1,8,4,2,6,3,5]=>[2,8,1,5,7,3,6,4]=>0000000=>0000000 [7,3,1,8,4,2,6,5]=>[2,6,8,1,5,7,3,4]=>0000000=>0000000 [6,1,2,8,3,5,4,7]=>[3,8,7,1,6,4,5,2]=>0000000=>0000000 [6,2,4,1,8,7,3,5]=>[3,7,5,8,1,2,6,4]=>0000000=>0000000 [3,1,6,4,2,8,5,7]=>[6,8,3,5,7,1,4,2]=>0000000=>0000000 [2,6,3,8,7,1,5,4]=>[7,3,6,1,2,8,4,5]=>0000000=>0000000 [1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000=>0000000 [1,2,4,8,3,7,6,5]=>[8,7,5,1,6,2,3,4]=>0000000=>0000000 [2,4,8,3,7,6,1,5]=>[7,5,1,6,2,3,8,4]=>0000000=>0000000 [3,1,5,4,8,2,7,6]=>[6,8,4,5,1,7,2,3]=>0000000=>0000000 [4,8,1,2,3,7,6,5]=>[5,1,8,7,6,2,3,4]=>0000000=>0000000 [5,3,8,1,2,4,7,6]=>[4,6,1,8,7,5,2,3]=>0000000=>0000000 [5,1,3,8,2,4,7,6]=>[4,8,6,1,7,5,2,3]=>0000000=>0000000 [1,5,4,8,2,7,6,3]=>[8,4,5,1,7,2,3,6]=>0000000=>0000000 [5,4,8,1,2,7,6,3]=>[4,5,1,8,7,2,3,6]=>0000000=>0000000 [6,5,1,2,8,7,4,3]=>[3,4,8,7,1,2,5,6]=>0000000=>0000000 [4,1,2,5,8,7,6,3]=>[5,8,7,4,1,2,3,6]=>0000000=>0000000 [1,4,2,5,8,7,6,3]=>[8,5,7,4,1,2,3,6]=>0000000=>0000000 [4,2,6,1,8,7,3,5]=>[5,7,3,8,1,2,6,4]=>0000000=>0000000 [3,5,2,8,7,1,4,6]=>[6,4,7,1,2,8,5,3]=>0000000=>0000000 [3,4,8,7,2,6,1,5]=>[6,5,1,2,7,3,8,4]=>0000000=>0000000 [3,4,8,1,7,2,6,5]=>[6,5,1,8,2,7,3,4]=>0000000=>0000000 [3,4,8,1,2,7,6,5]=>[6,5,1,8,7,2,3,4]=>0000000=>0000000 [3,4,8,2,7,1,6,5]=>[6,5,1,7,2,8,3,4]=>0000000=>0000000 [3,4,8,2,7,6,1,5]=>[6,5,1,7,2,3,8,4]=>0000000=>0000000 [4,3,1,2,5,8,7,6]=>[5,6,8,7,4,1,2,3]=>0000000=>0000000 [3,1,4,2,5,8,7,6]=>[6,8,5,7,4,1,2,3]=>0000000=>0000000 [2,3,7,5,4,1,8,6]=>[7,6,2,4,5,8,1,3]=>0000000=>0000000 [7,8,3,5,4,1,6,2]=>[2,1,6,4,5,8,3,7]=>0100000=>0000010 [5,3,6,2,4,7,1,8]=>[4,6,3,7,5,2,8,1]=>0000000=>0000000 [5,1,6,2,4,7,8,3]=>[4,8,3,7,5,2,1,6]=>0000000=>0000000 [4,7,1,6,2,3,8,5]=>[5,2,8,3,7,6,1,4]=>0000000=>0000000 [1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>0000000=>0000000 [3,2,8,5,4,6,1,7]=>[6,7,1,4,5,3,8,2]=>0000000=>0000000 [3,7,6,5,2,1,8,4]=>[6,2,3,4,7,8,1,5]=>0000000=>0000000 [2,7,6,5,8,1,3,4]=>[7,2,3,4,1,8,6,5]=>0000000=>0000000 [3,7,5,8,2,4,1,6]=>[6,2,4,1,7,5,8,3]=>0000000=>0000000 [5,1,7,8,4,3,2,6]=>[4,8,2,1,5,6,7,3]=>0000000=>0000000 [5,1,2,6,4,3,8,7]=>[4,8,7,3,5,6,1,2]=>0000000=>0000000 [5,1,2,4,6,3,8,7]=>[4,8,7,5,3,6,1,2]=>0000000=>0000000 [4,1,5,7,8,3,2,6]=>[5,8,4,2,1,6,7,3]=>0000000=>0000000 [4,7,1,8,3,6,2,5]=>[5,2,8,1,6,3,7,4]=>0000000=>0000000 [4,1,7,8,5,2,3,6]=>[5,8,2,1,4,7,6,3]=>0000000=>0000000 [5,1,7,4,8,2,3,6]=>[4,8,2,5,1,7,6,3]=>0000000=>0000000 [5,1,8,4,7,2,3,6]=>[4,8,1,5,2,7,6,3]=>0000000=>0000000 [4,1,8,7,5,2,3,6]=>[5,8,1,2,4,7,6,3]=>0000000=>0000000 [4,7,1,6,3,2,8,5]=>[5,2,8,3,6,7,1,4]=>0000000=>0000000 [7,1,2,3,8,6,5,4]=>[2,8,7,6,1,3,4,5]=>0000000=>0000000 [6,8,1,4,3,7,2,5]=>[3,1,8,5,6,2,7,4]=>0000000=>0000000 [8,7,3,2,4,1,6,5]=>[1,2,6,7,5,8,3,4]=>1100000=>0000011 [6,7,1,4,3,8,2,5]=>[3,2,8,5,6,1,7,4]=>0000000=>0000000 [8,1,2,3,5,7,6,4]=>[1,8,7,6,4,2,3,5]=>1000000=>0000001 [7,1,2,3,6,8,5,4]=>[2,8,7,6,3,1,4,5]=>0000000=>0000000 [7,1,8,5,4,3,2,6]=>[2,8,1,4,5,6,7,3]=>0000000=>0000000 [7,8,2,6,3,4,1,5]=>[2,1,7,3,6,5,8,4]=>0100000=>0000010 [6,7,2,8,3,4,1,5]=>[3,2,7,1,6,5,8,4]=>0000000=>0000000 [3,8,7,1,4,2,6,5]=>[6,1,2,8,5,7,3,4]=>0000000=>0000000 [3,7,8,1,4,2,6,5]=>[6,2,1,8,5,7,3,4]=>0000000=>0000000 [3,6,8,1,4,2,7,5]=>[6,3,1,8,5,7,2,4]=>0000000=>0000000 [3,5,7,8,2,4,1,6]=>[6,4,2,1,7,5,8,3]=>0000000=>0000000 [3,6,7,1,4,2,8,5]=>[6,3,2,8,5,7,1,4]=>0000000=>0000000 [8,6,2,7,3,1,4,5]=>[1,3,7,2,6,8,5,4]=>1000000=>0000001 [8,1,7,5,4,3,2,6]=>[1,8,2,4,5,6,7,3]=>1000000=>0000001 [8,1,7,4,5,3,2,6]=>[1,8,2,5,4,6,7,3]=>1000000=>0000001 [5,8,3,7,1,4,2,6]=>[4,1,6,2,8,5,7,3]=>0000000=>0000000 [2,1,7,3,4,6,8,5]=>[7,8,2,6,5,3,1,4]=>0000000=>0000000 [6,7,3,2,4,1,8,5]=>[3,2,6,7,5,8,1,4]=>0000000=>0000000 [8,7,2,4,3,6,1,5]=>[1,2,7,5,6,3,8,4]=>1100000=>0000011 [7,1,2,3,5,6,8,4]=>[2,8,7,6,4,3,1,5]=>0000000=>0000000 [6,1,2,3,8,7,4,5]=>[3,8,7,6,1,2,5,4]=>0000000=>0000000 [5,1,2,3,7,8,6,4]=>[4,8,7,6,2,1,3,5]=>0000000=>0000000 [8,6,2,4,3,1,7,5]=>[1,3,7,5,6,8,2,4]=>1000000=>0000001 [7,6,3,2,4,8,1,5]=>[2,3,6,7,5,1,8,4]=>0000000=>0000000 [8,6,3,2,4,7,1,5]=>[1,3,6,7,5,2,8,4]=>1000000=>0000001 [7,6,2,4,3,1,8,5]=>[2,3,7,5,6,8,1,4]=>0000000=>0000000 [1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>0000000=>0000000 [1,2,6,8,4,5,7,3]=>[8,7,3,1,5,4,2,6]=>0000000=>0000000 [6,8,1,4,7,2,3,5]=>[3,1,8,5,2,7,6,4]=>0000000=>0000000 [5,1,8,4,7,2,6,3]=>[4,8,1,5,2,7,3,6]=>0000000=>0000000 [5,8,7,4,6,1,2,3]=>[4,1,2,5,3,8,7,6]=>0000100=>0010000 [3,5,1,8,7,4,6,2]=>[6,4,8,1,2,5,3,7]=>0000000=>0000000 [3,4,8,7,6,5,1,2]=>[6,5,1,2,3,4,8,7]=>0000010=>0100000 [3,2,5,8,7,4,6,1]=>[6,7,4,1,2,5,3,8]=>0000001=>1000000 [1,2,7,5,8,6,4,3]=>[8,7,2,4,1,3,5,6]=>0000000=>0000000 [6,8,1,3,7,5,2,4]=>[3,1,8,6,2,4,7,5]=>0000000=>0000000 [1,3,7,8,2,6,5,4]=>[8,6,2,1,7,3,4,5]=>0000000=>0000000 [2,7,8,1,3,6,5,4]=>[7,2,1,8,6,3,4,5]=>0000000=>0000000 [8,1,2,6,7,3,5,4]=>[1,8,7,3,2,6,4,5]=>1000000=>0000001 [8,1,2,6,7,5,3,4]=>[1,8,7,3,2,4,6,5]=>1000000=>0000001 [8,2,5,7,1,3,6,4]=>[1,7,4,2,8,6,3,5]=>1000000=>0000001 [2,6,8,3,7,1,5,4]=>[7,3,1,6,2,8,4,5]=>0000000=>0000000 [2,8,6,4,7,1,5,3]=>[7,1,3,5,2,8,4,6]=>0000000=>0000000 [6,8,3,4,1,7,5,2]=>[3,1,6,5,8,2,4,7]=>0000000=>0000000 [6,8,3,7,4,1,5,2]=>[3,1,6,2,5,8,4,7]=>0000000=>0000000 [8,2,5,7,1,6,3,4]=>[1,7,4,2,8,3,6,5]=>1000000=>0000001 [8,4,7,2,3,6,1,5]=>[1,5,2,7,6,3,8,4]=>1000000=>0000001 [8,5,7,4,2,6,1,3]=>[1,4,2,5,7,3,8,6]=>1000000=>0000001 [8,5,2,4,7,1,6,3]=>[1,4,7,5,2,8,3,6]=>1000000=>0000001 [8,2,4,7,3,6,1,5]=>[1,7,5,2,6,3,8,4]=>1000000=>0000001 [8,2,7,1,4,6,3,5]=>[1,7,2,8,5,3,6,4]=>1000000=>0000001 [8,7,1,2,4,6,3,5]=>[1,2,8,7,5,3,6,4]=>1100000=>0000011 [8,7,1,4,6,2,3,5]=>[1,2,8,5,3,7,6,4]=>1100000=>0000011 [8,4,7,1,3,6,2,5]=>[1,5,2,8,6,3,7,4]=>1000000=>0000001 [8,3,5,7,1,2,6,4]=>[1,6,4,2,8,7,3,5]=>1000000=>0000001 [5,8,7,1,3,6,2,4]=>[4,1,2,8,6,3,7,5]=>0000000=>0000000 [8,5,4,7,1,6,2,3]=>[1,4,5,2,8,3,7,6]=>1000000=>0000001 [8,5,1,4,7,2,6,3]=>[1,4,8,5,2,7,3,6]=>1000000=>0000001 [8,5,6,3,1,7,4,2]=>[1,4,3,6,8,2,5,7]=>1000000=>0000001 [1,8,4,5,7,2,6,3]=>[8,1,5,4,2,7,3,6]=>0000000=>0000000 [5,8,7,3,6,1,2,4]=>[4,1,2,6,3,8,7,5]=>0000000=>0000000 [8,3,5,7,1,6,2,4]=>[1,6,4,2,8,3,7,5]=>1000000=>0000001 [1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>0000000=>0000000 [6,3,8,2,7,5,1,4]=>[3,6,1,7,2,4,8,5]=>0000000=>0000000 [8,6,4,7,3,1,5,2]=>[1,3,5,2,6,8,4,7]=>1000000=>0000001 [8,4,5,7,3,1,6,2]=>[1,5,4,2,6,8,3,7]=>1000000=>0000001 [8,3,4,7,2,6,1,5]=>[1,6,5,2,7,3,8,4]=>1000000=>0000001 [8,7,1,3,4,6,2,5]=>[1,2,8,6,5,3,7,4]=>1100000=>0000011 [8,3,7,2,4,6,1,5]=>[1,6,2,7,5,3,8,4]=>1000000=>0000001 [2,8,4,5,7,1,6,3]=>[7,1,5,4,2,8,3,6]=>0000000=>0000000 [8,7,3,4,5,1,6,2]=>[1,2,6,5,4,8,3,7]=>1100000=>0000011 [8,7,4,5,2,6,1,3]=>[1,2,5,4,7,3,8,6]=>1100000=>0000011 [8,7,2,3,4,6,1,5]=>[1,2,7,6,5,3,8,4]=>1100000=>0000011 [8,6,3,1,7,2,4,5]=>[1,3,6,8,2,7,5,4]=>1000000=>0000001 [5,1,4,2,7,3,6,8]=>[4,8,5,7,2,6,3,1]=>0000000=>0000000 [5,8,1,7,3,4,6,2]=>[4,1,8,2,6,5,3,7]=>0000000=>0000000 [8,1,5,7,2,4,6,3]=>[1,8,4,2,7,5,3,6]=>1000000=>0000001 [6,1,2,8,7,5,3,4]=>[3,8,7,1,2,4,6,5]=>0000000=>0000000 [6,1,2,4,8,7,5,3]=>[3,8,7,5,1,2,4,6]=>0000000=>0000000 [7,1,5,3,2,8,6,4]=>[2,8,4,6,7,1,3,5]=>0000000=>0000000 [8,1,7,5,3,2,6,4]=>[1,8,2,4,6,7,3,5]=>1000000=>0000001 [1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000=>0000000 [8,1,2,6,7,4,5,3]=>[1,8,7,3,2,5,4,6]=>1000000=>0000001 [7,1,2,8,3,6,5,4]=>[2,8,7,1,6,3,4,5]=>0000000=>0000000 [8,1,2,7,4,6,5,3]=>[1,8,7,2,5,3,4,6]=>1000000=>0000001 [3,6,2,5,4,1,8,7]=>[6,3,7,4,5,8,1,2]=>0000000=>0000000 [3,5,2,8,4,7,6,1]=>[6,4,7,1,5,2,3,8]=>0000001=>1000000 [5,4,7,3,2,8,6,1]=>[4,5,2,6,7,1,3,8]=>0000001=>1000000 [5,4,8,3,2,7,6,1]=>[4,5,1,6,7,2,3,8]=>0000001=>1000000 [5,3,2,6,4,1,8,7]=>[4,6,7,3,5,8,1,2]=>0000000=>0000000 [4,5,8,3,2,7,6,1]=>[5,4,1,6,7,2,3,8]=>0000001=>1000000 [4,7,6,3,8,5,2,1]=>[5,2,3,6,1,4,7,8]=>0000011=>1100000 [4,8,6,3,7,5,2,1]=>[5,1,3,6,2,4,7,8]=>0000011=>1100000 [5,3,2,8,4,7,6,1]=>[4,6,7,1,5,2,3,8]=>0000001=>1000000 [2,1,5,8,4,7,6,3]=>[7,8,4,1,5,2,3,6]=>0000000=>0000000 [5,3,2,7,4,8,6,1]=>[4,6,7,2,5,1,3,8]=>0000001=>1000000 [5,7,4,3,2,8,6,1]=>[4,2,5,6,7,1,3,8]=>0000001=>1000000 [4,7,5,3,2,8,6,1]=>[5,2,4,6,7,1,3,8]=>0000001=>1000000 [4,7,8,3,6,5,2,1]=>[5,2,1,6,3,4,7,8]=>0000011=>1100000 [4,6,8,3,7,5,2,1]=>[5,3,1,6,2,4,7,8]=>0000011=>1100000 [7,6,4,3,8,5,2,1]=>[2,3,5,6,1,4,7,8]=>0000011=>1100000 [8,3,2,6,7,5,4,1]=>[1,6,7,3,2,4,5,8]=>1000001=>1000001 [8,6,4,3,7,5,2,1]=>[1,3,5,6,2,4,7,8]=>1000011=>1100001 [8,4,5,3,2,7,6,1]=>[1,5,4,6,7,2,3,8]=>1000001=>1000001 [8,4,6,3,7,5,2,1]=>[1,5,3,6,2,4,7,8]=>1000011=>1100001 [7,4,6,3,8,5,2,1]=>[2,5,3,6,1,4,7,8]=>0000011=>1100000 [3,7,2,6,8,5,4,1]=>[6,2,7,3,1,4,5,8]=>0000001=>1000000 [3,8,2,6,7,5,4,1]=>[6,1,7,3,2,4,5,8]=>0000001=>1000000 [3,7,2,8,6,5,4,1]=>[6,2,7,1,3,4,5,8]=>0000001=>1000000 [3,6,2,8,7,5,4,1]=>[6,3,7,1,2,4,5,8]=>0000001=>1000000 [7,4,5,3,2,8,6,1]=>[2,5,4,6,7,1,3,8]=>0000001=>1000000 [2,1,7,5,4,8,6,3]=>[7,8,2,4,5,1,3,6]=>0000000=>0000000 [7,3,2,8,6,5,4,1]=>[2,6,7,1,3,4,5,8]=>0000001=>1000000 [7,8,4,3,6,5,2,1]=>[2,1,5,6,3,4,7,8]=>0100011=>1100010 [6,3,2,8,7,5,4,1]=>[3,6,7,1,2,4,5,8]=>0000001=>1000000 [6,3,2,7,8,5,4,1]=>[3,6,7,2,1,4,5,8]=>0000001=>1000000 [1,5,6,2,4,7,8,3]=>[8,4,3,7,5,2,1,6]=>0000000=>0000000 [1,5,8,2,4,6,7,3]=>[8,4,1,7,5,3,2,6]=>0000000=>0000000 [1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>0000000=>0000000 [1,6,8,4,2,3,7,5]=>[8,3,1,5,7,6,2,4]=>0000000=>0000000 [1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>0000000=>0000000 [3,7,5,6,1,4,8,2]=>[6,2,4,3,8,5,1,7]=>0000000=>0000000 [4,7,1,6,3,5,8,2]=>[5,2,8,3,6,4,1,7]=>0000000=>0000000 [1,8,6,4,2,7,5,3]=>[8,1,3,5,7,2,4,6]=>0000000=>0000000 [8,7,1,3,6,2,5,4]=>[1,2,8,6,3,7,4,5]=>1100000=>0000011 [6,1,4,3,8,2,5,7]=>[3,8,5,6,1,7,4,2]=>0000000=>0000000 [4,1,7,3,8,2,5,6]=>[5,8,2,6,1,7,4,3]=>0000000=>0000000 [8,2,3,7,5,6,1,4]=>[1,7,6,2,4,3,8,5]=>1000000=>0000001 [1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>0000000=>0000000 [3,7,5,8,6,2,1,4]=>[6,2,4,1,3,7,8,5]=>0000000=>0000000 [6,8,7,5,3,2,1,4]=>[3,1,2,4,6,7,8,5]=>0011000=>0001100 [3,7,4,6,5,8,1,2]=>[6,2,5,3,4,1,8,7]=>0000010=>0100000 [1,8,2,6,5,7,3,4]=>[8,1,7,3,4,2,6,5]=>0000000=>0000000 [1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000=>0000000 [1,7,6,8,4,5,2,3]=>[8,2,3,1,5,4,7,6]=>0000000=>0000000 [1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>0000000=>0000000 [7,8,1,3,2,6,4,5]=>[2,1,8,6,7,3,5,4]=>0100000=>0000010 [7,8,1,4,2,6,3,5]=>[2,1,8,5,7,3,6,4]=>0100000=>0000010 [6,4,8,5,2,7,1,3]=>[3,5,1,4,7,2,8,6]=>0000000=>0000000 [5,4,6,8,2,1,7,3]=>[4,5,3,1,7,8,2,6]=>0000000=>0000000 [2,8,6,7,4,3,5,1]=>[7,1,3,2,5,6,4,8]=>0000001=>1000000 [3,8,7,1,4,6,5,2]=>[6,1,2,8,5,3,4,7]=>0000000=>0000000 [4,3,7,6,8,2,5,1]=>[5,6,2,3,1,7,4,8]=>0000001=>1000000 [8,4,7,1,2,5,6,3]=>[1,5,2,8,7,4,3,6]=>1000000=>0000001 [4,2,7,1,8,5,6,3]=>[5,7,2,8,1,4,3,6]=>0000000=>0000000 [2,8,3,7,1,5,6,4]=>[7,1,6,2,8,4,3,5]=>0000000=>0000000 [5,8,4,3,7,6,1,2]=>[4,1,5,6,2,3,8,7]=>0000010=>0100000 [8,7,4,3,1,6,2,5]=>[1,2,5,6,8,3,7,4]=>1100000=>0000011 [2,8,6,1,7,4,5,3]=>[7,1,3,8,2,5,4,6]=>0000000=>0000000 [4,7,6,8,2,1,5,3]=>[5,2,3,1,7,8,4,6]=>0000000=>0000000 [8,5,4,3,1,6,7,2]=>[1,4,5,6,8,3,2,7]=>1000000=>0000001 [1,5,8,6,3,4,7,2]=>[8,4,1,3,6,5,2,7]=>0000000=>0000000 [2,5,8,6,3,4,7,1]=>[7,4,1,3,6,5,2,8]=>0000001=>1000000 [1,8,5,2,3,6,7,4]=>[8,1,4,7,6,3,2,5]=>0000000=>0000000 [4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>0000000=>0000000 [5,8,3,6,7,4,1,2]=>[4,1,6,3,2,5,8,7]=>0000010=>0100000 [2,4,1,8,6,3,7,5]=>[7,5,8,1,3,6,2,4]=>0000000=>0000000 [4,5,8,7,3,6,1,2]=>[5,4,1,2,6,3,8,7]=>0000010=>0100000 [8,6,5,4,1,2,7,3]=>[1,3,4,5,8,7,2,6]=>1000000=>0000001 [7,2,1,5,8,6,3,4]=>[2,7,8,4,1,3,6,5]=>0000000=>0000000 [6,3,4,8,5,1,7,2]=>[3,6,5,1,4,8,2,7]=>0000000=>0000000 [6,5,4,1,8,2,7,3]=>[3,4,5,8,1,7,2,6]=>0000000=>0000000 [6,5,3,7,1,4,2,8]=>[3,4,6,2,8,5,7,1]=>0000000=>0000000 [7,5,1,4,8,3,2,6]=>[2,4,8,5,1,6,7,3]=>0000000=>0000000 [7,5,1,4,8,3,6,2]=>[2,4,8,5,1,6,3,7]=>0000000=>0000000 [6,5,3,8,1,4,7,2]=>[3,4,6,1,8,5,2,7]=>0000000=>0000000 [6,5,3,1,2,7,8,4]=>[3,4,6,8,7,2,1,5]=>0000000=>0000000 [6,4,3,1,5,7,8,2]=>[3,5,6,8,4,2,1,7]=>0000000=>0000000 [7,1,5,8,4,6,2,3]=>[2,8,4,1,5,3,7,6]=>0000000=>0000000 [8,6,7,1,4,2,5,3]=>[1,3,2,8,5,7,4,6]=>1010000=>0000101 [8,6,3,7,5,1,2,4]=>[1,3,6,2,4,8,7,5]=>1000000=>0000001 [8,6,1,7,3,2,5,4]=>[1,3,8,2,6,7,4,5]=>1000000=>0000001 [7,6,1,3,8,5,2,4]=>[2,3,8,6,1,4,7,5]=>0000000=>0000000 [7,6,2,8,3,5,1,4]=>[2,3,7,1,6,4,8,5]=>0000000=>0000000 [8,7,1,5,2,6,3,4]=>[1,2,8,4,7,3,6,5]=>1100000=>0000011 [8,7,1,5,2,3,6,4]=>[1,2,8,4,7,6,3,5]=>1100000=>0000011 [8,5,2,3,1,7,6,4]=>[1,4,7,6,8,2,3,5]=>1000000=>0000001 [8,6,2,7,3,1,5,4]=>[1,3,7,2,6,8,4,5]=>1000000=>0000001 [8,6,7,2,4,1,5,3]=>[1,3,2,7,5,8,4,6]=>1010000=>0000101 [8,7,2,5,1,6,3,4]=>[1,2,7,4,8,3,6,5]=>1100000=>0000011 [8,7,2,1,4,6,3,5]=>[1,2,7,8,5,3,6,4]=>1100000=>0000011 [8,4,2,1,7,6,3,5]=>[1,5,7,8,2,3,6,4]=>1000000=>0000001 [8,5,2,7,1,6,3,4]=>[1,4,7,2,8,3,6,5]=>1000000=>0000001 [8,5,7,2,1,4,3,6]=>[1,4,2,7,8,5,6,3]=>1000000=>0000001 [5,8,7,3,1,4,2,6]=>[4,1,2,6,8,5,7,3]=>0000000=>0000000 [8,5,7,2,1,4,6,3]=>[1,4,2,7,8,5,3,6]=>1000000=>0000001 [8,5,2,7,1,3,6,4]=>[1,4,7,2,8,6,3,5]=>1000000=>0000001 [8,7,4,1,2,3,6,5]=>[1,2,5,8,7,6,3,4]=>1100000=>0000011 [8,7,4,1,2,6,3,5]=>[1,2,5,8,7,3,6,4]=>1100000=>0000011 [8,4,3,1,7,2,6,5]=>[1,5,6,8,2,7,3,4]=>1000000=>0000001 [8,6,1,3,7,2,5,4]=>[1,3,8,6,2,7,4,5]=>1000000=>0000001 [8,5,7,4,1,6,2,3]=>[1,4,2,5,8,3,7,6]=>1000000=>0000001 [8,5,7,4,1,2,6,3]=>[1,4,2,5,8,7,3,6]=>1000000=>0000001 [8,1,5,4,2,7,6,3]=>[1,8,4,5,7,2,3,6]=>1000000=>0000001 [8,1,6,4,7,2,5,3]=>[1,8,3,5,2,7,4,6]=>1000000=>0000001 [6,1,5,8,4,2,7,3]=>[3,8,4,1,5,7,2,6]=>0000000=>0000000 [5,8,3,6,4,1,2,7]=>[4,1,6,3,5,8,7,2]=>0000000=>0000000 [8,4,7,5,1,6,2,3]=>[1,5,2,4,8,3,7,6]=>1000000=>0000001 [8,4,7,5,1,2,6,3]=>[1,5,2,4,8,7,3,6]=>1000000=>0000001 [8,4,7,5,1,2,3,6]=>[1,5,2,4,8,7,6,3]=>1000000=>0000001 [8,3,2,6,5,1,4,7]=>[1,6,7,3,4,8,5,2]=>1000000=>0000001 [4,8,6,3,5,1,2,7]=>[5,1,3,6,4,8,7,2]=>0000000=>0000000 [4,8,7,3,1,5,2,6]=>[5,1,2,6,8,4,7,3]=>0000000=>0000000 [8,4,7,2,1,5,3,6]=>[1,5,2,7,8,4,6,3]=>1000000=>0000001 [8,3,2,7,1,5,4,6]=>[1,6,7,2,8,4,5,3]=>1000000=>0000001 [8,3,2,1,7,6,4,5]=>[1,6,7,8,2,3,5,4]=>1000000=>0000001 [8,7,3,1,6,2,4,5]=>[1,2,6,8,3,7,5,4]=>1100000=>0000011 [8,7,3,1,2,4,6,5]=>[1,2,6,8,7,5,3,4]=>1100000=>0000011 [8,3,2,1,7,4,6,5]=>[1,6,7,8,2,5,3,4]=>1000000=>0000001 [8,4,7,2,1,5,6,3]=>[1,5,2,7,8,4,3,6]=>1000000=>0000001 [8,7,2,1,3,6,4,5]=>[1,2,7,8,6,3,5,4]=>1100000=>0000011 [8,7,2,1,3,4,6,5]=>[1,2,7,8,6,5,3,4]=>1100000=>0000011 [1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000=>0000000 [1,6,7,8,2,3,5,4]=>[8,3,2,1,7,6,4,5]=>0000000=>0000000 [1,7,8,2,5,3,6,4]=>[8,2,1,7,4,6,3,5]=>0000000=>0000000 [1,5,2,7,8,3,6,4]=>[8,4,7,2,1,6,3,5]=>0000000=>0000000 [1,7,8,2,4,3,6,5]=>[8,2,1,7,5,6,3,4]=>0000000=>0000000 [6,7,3,1,5,2,8,4]=>[3,2,6,8,4,7,1,5]=>0000000=>0000000 [6,7,4,5,1,2,8,3]=>[3,2,5,4,8,7,1,6]=>0000000=>0000000 [7,4,6,5,1,2,3,8]=>[2,5,3,4,8,7,6,1]=>0000000=>0000000 [6,7,5,4,1,2,8,3]=>[3,2,4,5,8,7,1,6]=>0000000=>0000000 [5,6,7,4,1,8,2,3]=>[4,3,2,5,8,1,7,6]=>0000000=>0000000 [6,2,1,7,5,3,8,4]=>[3,7,8,2,4,6,1,5]=>0000000=>0000000 [6,4,8,5,1,2,7,3]=>[3,5,1,4,8,7,2,6]=>0000000=>0000000 [5,6,8,4,1,7,2,3]=>[4,3,1,5,8,2,7,6]=>0000000=>0000000 [4,6,8,5,7,1,2,3]=>[5,3,1,4,2,8,7,6]=>0000100=>0010000 [4,5,8,6,7,1,2,3]=>[5,4,1,3,2,8,7,6]=>0000100=>0010000 [4,5,7,6,8,1,2,3]=>[5,4,2,3,1,8,7,6]=>0000100=>0010000 [4,6,7,5,8,1,2,3]=>[5,3,2,4,1,8,7,6]=>0000100=>0010000 [4,6,5,7,8,1,2,3]=>[5,3,4,2,1,8,7,6]=>0000100=>0010000 [5,7,4,6,1,8,2,3]=>[4,2,5,3,8,1,7,6]=>0000000=>0000000 [5,7,3,1,6,8,2,4]=>[4,2,6,8,3,1,7,5]=>0000000=>0000000 [5,7,4,8,1,6,2,3]=>[4,2,5,1,8,3,7,6]=>0000000=>0000000 [5,2,1,6,8,7,3,4]=>[4,7,8,3,1,2,6,5]=>0000000=>0000000 [4,5,6,8,7,1,2,3]=>[5,4,3,1,2,8,7,6]=>0000100=>0010000 [4,6,7,8,5,1,2,3]=>[5,3,2,1,4,8,7,6]=>0000100=>0010000 [5,2,1,7,8,6,3,4]=>[4,7,8,2,1,3,6,5]=>0000000=>0000000 [4,6,8,7,5,1,2,3]=>[5,3,1,2,4,8,7,6]=>0000100=>0010000 [2,5,3,1,6,4,8,7]=>[7,4,6,8,3,5,1,2]=>0000000=>0000000 [4,2,7,6,3,5,1,8]=>[5,7,2,3,6,4,8,1]=>0000000=>0000000 [2,3,1,8,6,5,4,7]=>[7,6,8,1,3,4,5,2]=>0000000=>0000000 [3,6,8,2,1,4,5,7]=>[6,3,1,7,8,5,4,2]=>0000000=>0000000 [1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>0000000=>0000000 [1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>0000000=>0000000 [1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000=>0000000 [1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000=>0000000 [3,8,5,7,1,2,6,4]=>[6,1,4,2,8,7,3,5]=>0000000=>0000000 [3,4,8,6,1,5,7,2]=>[6,5,1,3,8,4,2,7]=>0000000=>0000000 [3,8,5,7,1,6,4,2]=>[6,1,4,2,8,3,5,7]=>0000000=>0000000 [3,8,5,7,2,1,6,4]=>[6,1,4,2,7,8,3,5]=>0000000=>0000000 [3,4,8,6,2,1,5,7]=>[6,5,1,3,7,8,4,2]=>0000000=>0000000 [4,3,1,7,5,2,8,6]=>[5,6,8,2,4,7,1,3]=>0000000=>0000000 [4,8,6,7,1,3,2,5]=>[5,1,3,2,8,6,7,4]=>0000000=>0000000 [4,2,6,7,5,3,8,1]=>[5,7,3,2,4,6,1,8]=>0000001=>1000000 [4,8,6,7,3,1,2,5]=>[5,1,3,2,6,8,7,4]=>0000000=>0000000 [4,8,6,7,3,1,5,2]=>[5,1,3,2,6,8,4,7]=>0000000=>0000000 [4,1,6,7,5,3,8,2]=>[5,8,3,2,4,6,1,7]=>0000000=>0000000 [4,8,6,7,3,2,1,5]=>[5,1,3,2,6,7,8,4]=>0000000=>0000000 [5,8,6,7,4,2,1,3]=>[4,1,3,2,5,7,8,6]=>0001100=>0011000 [6,1,5,2,8,4,7,3]=>[3,8,4,7,1,5,2,6]=>0000000=>0000000 [4,6,1,8,5,7,2,3]=>[5,3,8,1,4,2,7,6]=>0000000=>0000000 [4,7,1,2,8,5,6,3]=>[5,2,8,7,1,4,3,6]=>0000000=>0000000 [1,4,7,2,8,5,6,3]=>[8,5,2,7,1,4,3,6]=>0000000=>0000000 [1,7,3,5,8,6,2,4]=>[8,2,6,4,1,3,7,5]=>0000000=>0000000 [7,3,5,8,6,1,2,4]=>[2,6,4,1,3,8,7,5]=>0000000=>0000000 [6,8,1,5,7,2,3,4]=>[3,1,8,4,2,7,6,5]=>0000000=>0000000 [7,1,2,5,8,6,3,4]=>[2,8,7,4,1,3,6,5]=>0000000=>0000000 [1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>0000000=>0000000 [1,7,6,8,2,3,5,4]=>[8,2,3,1,7,6,4,5]=>0000000=>0000000 [7,6,8,1,2,3,5,4]=>[2,3,1,8,7,6,4,5]=>0010000=>0000100 [2,7,1,5,8,6,3,4]=>[7,2,8,4,1,3,6,5]=>0000000=>0000000 [2,4,7,1,8,5,6,3]=>[7,5,2,8,1,4,3,6]=>0000000=>0000000 [4,7,5,8,3,1,6,2]=>[5,2,4,1,6,8,3,7]=>0000000=>0000000 [4,7,2,1,8,5,6,3]=>[5,2,7,8,1,4,3,6]=>0000000=>0000000 [7,3,5,8,6,2,1,4]=>[2,6,4,1,3,7,8,5]=>0000000=>0000000 [7,6,8,2,1,3,5,4]=>[2,3,1,7,8,6,4,5]=>0010000=>0000100 [1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>0000000=>0000000 [3,7,6,8,2,1,5,4]=>[6,2,3,1,7,8,4,5]=>0000000=>0000000 [6,7,4,1,8,5,3,2]=>[3,2,5,8,1,4,6,7]=>0000000=>0000000 [6,7,4,3,1,8,5,2]=>[3,2,5,6,8,1,4,7]=>0000000=>0000000 [2,7,4,1,6,8,5,3]=>[7,2,5,8,3,1,4,6]=>0000000=>0000000 [3,1,7,6,8,2,5,4]=>[6,8,2,3,1,7,4,5]=>0000000=>0000000 [1,3,7,6,8,2,5,4]=>[8,6,2,3,1,7,4,5]=>0000000=>0000000 [1,7,4,2,6,8,5,3]=>[8,2,5,7,3,1,4,6]=>0000000=>0000000 [7,1,4,2,8,5,6,3]=>[2,8,5,7,1,4,3,6]=>0000000=>0000000 [7,1,8,2,5,4,6,3]=>[2,8,1,7,4,5,3,6]=>0000000=>0000000 [7,1,6,8,5,4,2,3]=>[2,8,3,1,4,5,7,6]=>0000000=>0000000 [7,1,2,6,8,5,4,3]=>[2,8,7,3,1,4,5,6]=>0000000=>0000000 [1,7,2,6,8,5,4,3]=>[8,2,7,3,1,4,5,6]=>0000000=>0000000 [1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>0000000=>0000000 [7,6,8,3,1,2,5,4]=>[2,3,1,6,8,7,4,5]=>0010000=>0000100 [7,1,5,8,6,3,2,4]=>[2,8,4,1,3,6,7,5]=>0000000=>0000000 [3,6,7,1,8,5,4,2]=>[6,3,2,8,1,4,5,7]=>0000000=>0000000 [7,2,6,8,5,4,1,3]=>[2,7,3,1,4,5,8,6]=>0000000=>0000000 [7,6,8,2,3,1,5,4]=>[2,3,1,7,6,8,4,5]=>0010000=>0000100 [2,7,6,8,3,1,5,4]=>[7,2,3,1,6,8,4,5]=>0000000=>0000000 [2,7,1,6,8,5,4,3]=>[7,2,8,3,1,4,5,6]=>0000000=>0000000 [6,7,3,1,8,5,4,2]=>[3,2,6,8,1,4,5,7]=>0000000=>0000000 [6,7,1,8,5,4,3,2]=>[3,2,8,1,4,5,6,7]=>0000000=>0000000 [7,2,1,6,8,5,4,3]=>[2,7,8,3,1,4,5,6]=>0000000=>0000000 [7,8,4,2,1,6,5,3]=>[2,1,5,7,8,3,4,6]=>0100000=>0000010 [6,2,3,4,8,7,1,5]=>[3,7,6,5,1,2,8,4]=>0000000=>0000000 [6,2,3,4,7,8,1,5]=>[3,7,6,5,2,1,8,4]=>0000000=>0000000 [7,8,3,6,4,2,1,5]=>[2,1,6,3,5,7,8,4]=>0100000=>0000010 [4,5,6,8,3,2,1,7]=>[5,4,3,1,6,7,8,2]=>0000000=>0000000 [4,6,8,5,3,2,1,7]=>[5,3,1,4,6,7,8,2]=>0000000=>0000000 [5,6,1,4,2,3,7,8]=>[4,3,8,5,7,6,2,1]=>0000000=>0000000 [5,6,1,4,2,3,8,7]=>[4,3,8,5,7,6,1,2]=>0000000=>0000000 [4,5,8,6,3,2,1,7]=>[5,4,1,3,6,7,8,2]=>0000000=>0000000 [4,8,6,5,3,2,1,7]=>[5,1,3,4,6,7,8,2]=>0000000=>0000000 [5,4,7,8,3,2,1,6]=>[4,5,2,1,6,7,8,3]=>0000000=>0000000 [4,7,8,5,3,2,1,6]=>[5,2,1,4,6,7,8,3]=>0000000=>0000000 [5,7,1,3,4,2,6,8]=>[4,2,8,6,5,7,3,1]=>0000000=>0000000 [4,7,8,6,3,2,1,5]=>[5,2,1,3,6,7,8,4]=>0000000=>0000000 [6,8,1,2,4,3,5,7]=>[3,1,8,7,5,6,4,2]=>0000000=>0000000 [4,8,7,6,3,1,2,5]=>[5,1,2,3,6,8,7,4]=>0000000=>0000000 [5,8,4,7,3,1,2,6]=>[4,1,5,2,6,8,7,3]=>0000000=>0000000 [1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>0000000=>0000000 [3,4,8,7,2,5,1,6]=>[6,5,1,2,7,4,8,3]=>0000000=>0000000 [1,4,7,8,5,3,2,6]=>[8,5,2,1,4,6,7,3]=>0000000=>0000000 [7,3,4,8,5,1,6,2]=>[2,6,5,1,4,8,3,7]=>0000000=>0000000 [6,7,2,8,3,5,4,1]=>[3,2,7,1,6,4,5,8]=>0000001=>1000000 [3,5,7,8,6,1,2,4]=>[6,4,2,1,3,8,7,5]=>0000000=>0000000 [3,1,5,6,8,2,7,4]=>[6,8,4,3,1,7,2,5]=>0000000=>0000000 [5,1,6,3,8,4,7,2]=>[4,8,3,6,1,5,2,7]=>0000000=>0000000 [2,5,1,6,8,3,7,4]=>[7,4,8,3,1,6,2,5]=>0000000=>0000000 [5,1,2,6,8,3,7,4]=>[4,8,7,3,1,6,2,5]=>0000000=>0000000 [1,5,2,7,8,6,3,4]=>[8,4,7,2,1,3,6,5]=>0000000=>0000000 [6,1,7,5,2,8,3,4]=>[3,8,2,4,7,1,6,5]=>0000000=>0000000 [2,6,7,5,1,8,3,4]=>[7,3,2,4,8,1,6,5]=>0000000=>0000000 [5,7,2,8,6,1,3,4]=>[4,2,7,1,3,8,6,5]=>0000000=>0000000 [3,5,7,8,6,2,1,4]=>[6,4,2,1,3,7,8,5]=>0000000=>0000000 [3,2,5,7,8,6,1,4]=>[6,7,4,2,1,3,8,5]=>0000000=>0000000 [6,2,7,5,1,8,3,4]=>[3,7,2,4,8,1,6,5]=>0000000=>0000000 [1,2,6,7,5,8,3,4]=>[8,7,3,2,4,1,6,5]=>0000000=>0000000 [6,2,7,5,4,1,8,3]=>[3,7,2,4,5,8,1,6]=>0000000=>0000000 [6,7,5,2,4,1,8,3]=>[3,2,4,7,5,8,1,6]=>0000000=>0000000 [6,7,2,5,3,8,1,4]=>[3,2,7,4,6,1,8,5]=>0000000=>0000000 [5,1,7,8,6,3,2,4]=>[4,8,2,1,3,6,7,5]=>0000000=>0000000 [1,6,7,5,3,8,2,4]=>[8,3,2,4,6,1,7,5]=>0000000=>0000000 [1,6,7,5,4,2,8,3]=>[8,3,2,4,5,7,1,6]=>0000000=>0000000 [5,7,8,6,4,1,2,3]=>[4,2,1,3,5,8,7,6]=>0001100=>0011000 [6,7,4,1,5,2,8,3]=>[3,2,5,8,4,7,1,6]=>0000000=>0000000 [1,6,7,4,5,2,8,3]=>[8,3,2,5,4,7,1,6]=>0000000=>0000000 [6,3,1,7,5,8,2,4]=>[3,6,8,2,4,1,7,5]=>0000000=>0000000 [2,5,3,7,8,6,1,4]=>[7,4,6,2,1,3,8,5]=>0000000=>0000000 [6,3,2,7,5,8,1,4]=>[3,6,7,2,4,1,8,5]=>0000000=>0000000 [6,7,4,2,5,1,8,3]=>[3,2,5,7,4,8,1,6]=>0000000=>0000000 [6,2,7,4,5,1,8,3]=>[3,7,2,5,4,8,1,6]=>0000000=>0000000 [6,2,3,7,5,8,1,4]=>[3,7,6,2,4,1,8,5]=>0000000=>0000000 [7,5,1,6,3,8,2,4]=>[2,4,8,3,6,1,7,5]=>0000000=>0000000 [7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]=>0000000=>0000000 [2,6,7,4,1,8,3,5]=>[7,3,2,5,8,1,6,4]=>0000000=>0000000 [2,1,6,7,3,8,5,4]=>[7,8,3,2,6,1,4,5]=>0000000=>0000000 [3,7,5,4,8,1,2,6]=>[6,2,4,5,1,8,7,3]=>0000000=>0000000 [4,6,1,5,8,7,3,2]=>[5,3,8,4,1,2,6,7]=>0000000=>0000000 [4,6,1,5,8,2,7,3]=>[5,3,8,4,1,7,2,6]=>0000000=>0000000 [7,5,1,6,2,8,3,4]=>[2,4,8,3,7,1,6,5]=>0000000=>0000000 [4,6,1,5,8,2,3,7]=>[5,3,8,4,1,7,6,2]=>0000000=>0000000 [4,7,1,5,8,3,6,2]=>[5,2,8,4,1,6,3,7]=>0000000=>0000000 [7,5,3,2,8,4,1,6]=>[2,4,6,7,1,5,8,3]=>0000000=>0000000 [5,3,6,8,1,4,2,7]=>[4,6,3,1,8,5,7,2]=>0000000=>0000000 [4,5,3,7,2,8,6,1]=>[5,4,6,2,7,1,3,8]=>0000001=>1000000 [5,3,7,1,4,8,6,2]=>[4,6,2,8,5,1,3,7]=>0000000=>0000000 [1,6,3,7,4,8,5,2]=>[8,3,6,2,5,1,4,7]=>0000000=>0000000 [2,5,6,3,7,8,4,1]=>[7,4,3,6,2,1,5,8]=>0000001=>1000000 [6,3,7,2,8,4,1,5]=>[3,6,2,7,1,5,8,4]=>0000000=>0000000 [7,5,3,2,1,8,4,6]=>[2,4,6,7,8,1,5,3]=>0000000=>0000000 [4,6,2,7,8,5,3,1]=>[5,3,7,2,1,4,6,8]=>0000001=>1000000 [6,7,2,1,3,8,5,4]=>[3,2,7,8,6,1,4,5]=>0000000=>0000000 [5,1,6,7,8,2,4,3]=>[4,8,3,2,1,7,5,6]=>0000000=>0000000 [6,3,1,7,8,5,4,2]=>[3,6,8,2,1,4,5,7]=>0000000=>0000000 [5,3,2,1,8,4,7,6]=>[4,6,7,8,1,5,2,3]=>0000000=>0000000 [5,8,7,4,6,2,1,3]=>[4,1,2,5,3,7,8,6]=>0000100=>0010000 [4,8,3,1,2,7,6,5]=>[5,1,6,8,7,2,3,4]=>0000000=>0000000 [5,8,2,7,4,1,6,3]=>[4,1,7,2,5,8,3,6]=>0000000=>0000000 [5,1,4,2,8,7,6,3]=>[4,8,5,7,1,2,3,6]=>0000000=>0000000 [6,3,2,1,8,5,7,4]=>[3,6,7,8,1,4,2,5]=>0000000=>0000000 [5,2,4,7,1,8,6,3]=>[4,7,5,2,8,1,3,6]=>0000000=>0000000 [1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>0000000=>0000000 [5,4,2,1,6,8,7,3]=>[4,5,7,8,3,1,2,6]=>0000000=>0000000 [6,8,4,3,2,7,1,5]=>[3,1,5,6,7,2,8,4]=>0000000=>0000000 [5,1,3,2,8,6,7,4]=>[4,8,6,7,1,3,2,5]=>0000000=>0000000 [5,3,2,1,8,6,7,4]=>[4,6,7,8,1,3,2,5]=>0000000=>0000000 [2,8,1,5,4,7,6,3]=>[7,1,8,4,5,2,3,6]=>0000000=>0000000 [5,8,2,6,1,3,7,4]=>[4,1,7,3,8,6,2,5]=>0000000=>0000000 [6,3,5,8,7,2,1,4]=>[3,6,4,1,2,7,8,5]=>0000000=>0000000 [5,1,3,6,4,8,7,2]=>[4,8,6,3,5,1,2,7]=>0000000=>0000000 [1,3,2,7,5,8,6,4]=>[8,6,7,2,4,1,3,5]=>0000000=>0000000 [1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000=>0000000 [1,4,2,7,8,5,6,3]=>[8,5,7,2,1,4,3,6]=>0000000=>0000000 [5,1,2,6,8,4,7,3]=>[4,8,7,3,1,5,2,6]=>0000000=>0000000 [3,1,2,6,5,8,4,7]=>[6,8,7,3,4,1,5,2]=>0000000=>0000000 [4,1,2,6,8,5,3,7]=>[5,8,7,3,1,4,6,2]=>0000000=>0000000 [1,5,2,4,8,7,6,3]=>[8,4,7,5,1,2,3,6]=>0000000=>0000000 [1,2,7,4,8,6,5,3]=>[8,7,2,5,1,3,4,6]=>0000000=>0000000 [1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>0000000=>0000000 [1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>0000000=>0000000 [1,2,6,4,8,7,3,5]=>[8,7,3,5,1,2,6,4]=>0000000=>0000000 [1,2,6,8,5,7,3,4]=>[8,7,3,1,4,2,6,5]=>0000000=>0000000 [1,5,6,8,2,7,3,4]=>[8,4,3,1,7,2,6,5]=>0000000=>0000000 [1,3,8,2,6,7,4,5]=>[8,6,1,7,3,2,5,4]=>0000000=>0000000 [1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>0000000=>0000000 [1,6,7,8,2,5,3,4]=>[8,3,2,1,7,4,6,5]=>0000000=>0000000 [1,2,6,8,3,7,5,4]=>[8,7,3,1,6,2,4,5]=>0000000=>0000000 [1,5,7,8,2,3,6,4]=>[8,4,2,1,7,6,3,5]=>0000000=>0000000 [1,4,7,2,8,3,6,5]=>[8,5,2,7,1,6,3,4]=>0000000=>0000000 [1,6,7,3,4,8,5,2]=>[8,3,2,6,5,1,4,7]=>0000000=>0000000 [1,5,3,7,4,8,6,2]=>[8,4,6,2,5,1,3,7]=>0000000=>0000000 [1,3,6,4,2,8,7,5]=>[8,6,3,5,7,1,2,4]=>0000000=>0000000 [1,3,7,4,2,8,6,5]=>[8,6,2,5,7,1,3,4]=>0000000=>0000000 [1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000=>0000000 [1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>0000000=>0000000 [1,8,4,5,7,2,3,6]=>[8,1,5,4,2,7,6,3]=>0000000=>0000000 [1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>0000000=>0000000 [2,8,3,5,1,4,7,6]=>[7,1,6,4,8,5,2,3]=>0000000=>0000000 [2,3,8,6,1,4,7,5]=>[7,6,1,3,8,5,2,4]=>0000000=>0000000 [1,4,8,6,7,2,3,5]=>[8,5,1,3,2,7,6,4]=>0000000=>0000000 [1,5,6,8,7,2,3,4]=>[8,4,3,1,2,7,6,5]=>0000000=>0000000 [1,2,7,8,5,3,6,4]=>[8,7,2,1,4,6,3,5]=>0000000=>0000000 [1,2,5,8,7,3,6,4]=>[8,7,4,1,2,6,3,5]=>0000000=>0000000 [1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>0000000=>0000000 [1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>0000000=>0000000 [1,3,7,6,2,8,4,5]=>[8,6,2,3,7,1,5,4]=>0000000=>0000000 [1,2,8,4,7,6,3,5]=>[8,7,1,5,2,3,6,4]=>0000000=>0000000 [1,2,5,8,7,6,3,4]=>[8,7,4,1,2,3,6,5]=>0000000=>0000000 [1,2,6,8,7,5,3,4]=>[8,7,3,1,2,4,6,5]=>0000000=>0000000 [1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000=>0000000 [5,2,6,7,3,4,8,1]=>[4,7,3,2,6,5,1,8]=>0000001=>1000000 [5,6,2,1,7,8,3,4]=>[4,3,7,8,2,1,6,5]=>0000000=>0000000 [5,6,2,1,4,8,7,3]=>[4,3,7,8,5,1,2,6]=>0000000=>0000000 [2,6,1,4,5,8,7,3]=>[7,3,8,5,4,1,2,6]=>0000000=>0000000 [5,4,2,7,6,3,8,1]=>[4,5,7,2,3,6,1,8]=>0000001=>1000000 [2,3,7,6,4,5,8,1]=>[7,6,2,3,5,4,1,8]=>0000001=>1000000 [2,6,1,7,5,8,3,4]=>[7,3,8,2,4,1,6,5]=>0000000=>0000000 [5,1,2,7,8,4,3,6]=>[4,8,7,2,1,5,6,3]=>0000000=>0000000 [2,6,1,7,4,8,3,5]=>[7,3,8,2,5,1,6,4]=>0000000=>0000000 [3,6,4,1,7,8,2,5]=>[6,3,5,8,2,1,7,4]=>0000000=>0000000 [5,4,6,1,7,8,2,3]=>[4,5,3,8,2,1,7,6]=>0000000=>0000000 [5,4,6,1,3,8,7,2]=>[4,5,3,8,6,1,2,7]=>0000000=>0000000 [3,6,4,1,5,8,7,2]=>[6,3,5,8,4,1,2,7]=>0000000=>0000000 [2,6,1,5,4,8,7,3]=>[7,3,8,4,5,1,2,6]=>0000000=>0000000 [2,6,1,4,7,8,5,3]=>[7,3,8,5,2,1,4,6]=>0000000=>0000000 [5,1,2,4,8,7,6,3]=>[4,8,7,5,1,2,3,6]=>0000000=>0000000 [2,1,5,3,8,6,4,7]=>[7,8,4,6,1,3,5,2]=>0000000=>0000000 [5,1,2,4,8,6,3,7]=>[4,8,7,5,1,3,6,2]=>0000000=>0000000 [5,6,3,1,4,8,2,7]=>[4,3,6,8,5,1,7,2]=>0000000=>0000000 [2,5,4,3,1,8,6,7]=>[7,4,5,6,8,1,3,2]=>0000000=>0000000 [5,4,6,3,1,8,7,2]=>[4,5,3,6,8,1,2,7]=>0000000=>0000000 [2,1,3,7,8,6,4,5]=>[7,8,6,2,1,3,5,4]=>0000000=>0000000 [5,1,4,2,8,6,7,3]=>[4,8,5,7,1,3,2,6]=>0000000=>0000000 [1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000=>0000000 [1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000=>0000000 [1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000=>0000000 [2,1,3,6,8,7,4,5]=>[7,8,6,3,1,2,5,4]=>0000000=>0000000 [3,1,6,2,8,7,5,4]=>[6,8,3,7,1,2,4,5]=>0000000=>0000000 [6,8,1,3,2,5,4,7]=>[3,1,8,6,7,4,5,2]=>0000000=>0000000 [5,8,1,4,3,7,2,6]=>[4,1,8,5,6,2,7,3]=>0000000=>0000000 [2,5,4,7,6,8,1,3]=>[7,4,5,2,3,1,8,6]=>0000000=>0000000 [2,6,1,4,3,7,5,8]=>[7,3,8,5,6,2,4,1]=>0000000=>0000000 [2,6,1,5,3,7,4,8]=>[7,3,8,4,6,2,5,1]=>0000000=>0000000 [6,8,3,7,1,4,2,5]=>[3,1,6,2,8,5,7,4]=>0000000=>0000000 [3,7,4,8,2,6,1,5]=>[6,2,5,1,7,3,8,4]=>0000000=>0000000 [3,7,2,6,5,8,1,4]=>[6,2,7,3,4,1,8,5]=>0000000=>0000000 [6,8,3,7,5,2,4,1]=>[3,1,6,2,4,7,5,8]=>0000001=>1000000 [6,8,3,7,4,5,2,1]=>[3,1,6,2,5,4,7,8]=>0000011=>1100000 [5,7,8,3,6,2,1,4]=>[4,2,1,6,3,7,8,5]=>0000000=>0000000 [6,3,4,8,7,2,5,1]=>[3,6,5,1,2,7,4,8]=>0000001=>1000000 [6,3,8,4,7,2,1,5]=>[3,6,1,5,2,7,8,4]=>0000000=>0000000 [6,3,4,7,5,8,2,1]=>[3,6,5,2,4,1,7,8]=>0000011=>1100000 [5,7,3,6,8,2,1,4]=>[4,2,6,3,1,7,8,5]=>0000000=>0000000 [4,6,7,8,3,5,2,1]=>[5,3,2,1,6,4,7,8]=>0000011=>1100000 [4,7,3,5,6,8,2,1]=>[5,2,6,4,3,1,7,8]=>0000011=>1100000 [5,3,4,7,8,2,1,6]=>[4,6,5,2,1,7,8,3]=>0000000=>0000000 [5,3,4,8,2,6,1,7]=>[4,6,5,1,7,3,8,2]=>0000000=>0000000 [4,8,3,6,2,5,7,1]=>[5,1,6,3,7,4,2,8]=>0000001=>1000000 [4,8,3,5,7,2,6,1]=>[5,1,6,4,2,7,3,8]=>0000001=>1000000 [4,8,3,5,6,7,2,1]=>[5,1,6,4,3,2,7,8]=>0000011=>1100000 [4,7,8,3,5,6,2,1]=>[5,2,1,6,4,3,7,8]=>0000011=>1100000 [4,7,8,3,6,2,5,1]=>[5,2,1,6,3,7,4,8]=>0000001=>1000000 [4,8,3,6,7,2,5,1]=>[5,1,6,3,2,7,4,8]=>0000001=>1000000 [4,8,3,7,2,5,6,1]=>[5,1,6,2,7,4,3,8]=>0000001=>1000000 [5,8,3,7,2,6,4,1]=>[4,1,6,2,7,3,5,8]=>0000001=>1000000 [6,4,3,7,8,5,2,1]=>[3,5,6,2,1,4,7,8]=>0000011=>1100000 [6,4,5,3,7,1,8,2]=>[3,5,4,6,2,8,1,7]=>0000000=>0000000 [5,6,3,7,1,8,2,4]=>[4,3,6,2,8,1,7,5]=>0000000=>0000000 [5,6,3,4,8,2,1,7]=>[4,3,6,5,1,7,8,2]=>0000000=>0000000 [6,4,2,5,1,7,3,8]=>[3,5,7,4,8,2,6,1]=>0000000=>0000000 [5,3,4,7,2,6,1,8]=>[4,6,5,2,7,3,8,1]=>0000000=>0000000 [4,7,3,6,2,5,8,1]=>[5,2,6,3,7,4,1,8]=>0000001=>1000000 [4,7,3,6,8,2,5,1]=>[5,2,6,3,1,7,4,8]=>0000001=>1000000 [4,6,7,3,5,8,2,1]=>[5,3,2,6,4,1,7,8]=>0000011=>1100000 [4,5,7,8,3,6,2,1]=>[5,4,2,1,6,3,7,8]=>0000011=>1100000 [4,5,8,3,7,2,6,1]=>[5,4,1,6,2,7,3,8]=>0000001=>1000000 [5,3,4,6,8,2,1,7]=>[4,6,5,3,1,7,8,2]=>0000000=>0000000 [4,6,3,5,7,8,2,1]=>[5,3,6,4,2,1,7,8]=>0000011=>1100000 [4,5,7,3,6,8,2,1]=>[5,4,2,6,3,1,7,8]=>0000011=>1100000 [7,1,5,8,4,2,3,6]=>[2,8,4,1,5,7,6,3]=>0000000=>0000000 [8,1,5,7,4,2,3,6]=>[1,8,4,2,5,7,6,3]=>1000000=>0000001 [7,1,4,5,8,2,3,6]=>[2,8,5,4,1,7,6,3]=>0000000=>0000000 [7,4,1,6,2,8,3,5]=>[2,5,8,3,7,1,6,4]=>0000000=>0000000 [8,4,1,7,2,6,3,5]=>[1,5,8,2,7,3,6,4]=>1000000=>0000001 [8,1,4,7,5,2,3,6]=>[1,8,5,2,4,7,6,3]=>1000000=>0000001 [8,1,5,4,7,2,3,6]=>[1,8,4,5,2,7,6,3]=>1000000=>0000001 [2,1,7,5,8,3,4,6]=>[7,8,2,4,1,6,5,3]=>0000000=>0000000 [7,1,5,4,8,2,3,6]=>[2,8,4,5,1,7,6,3]=>0000000=>0000000 [7,1,4,8,5,2,3,6]=>[2,8,5,1,4,7,6,3]=>0000000=>0000000 [7,8,3,1,2,4,6,5]=>[2,1,6,8,7,5,3,4]=>0100000=>0000010 [8,7,1,6,4,2,3,5]=>[1,2,8,3,5,7,6,4]=>1100000=>0000011 [8,6,1,7,4,2,3,5]=>[1,3,8,2,5,7,6,4]=>1000000=>0000001 [7,6,1,8,4,2,3,5]=>[2,3,8,1,5,7,6,4]=>0000000=>0000000 [7,3,8,1,2,4,6,5]=>[2,6,1,8,7,5,3,4]=>0000000=>0000000 [8,3,7,1,2,4,6,5]=>[1,6,2,8,7,5,3,4]=>1000000=>0000001 [8,3,6,1,2,4,7,5]=>[1,6,3,8,7,5,2,4]=>1000000=>0000001 [8,3,7,5,1,2,4,6]=>[1,6,2,4,8,7,5,3]=>1000000=>0000001 [7,3,6,1,2,4,8,5]=>[2,6,3,8,7,5,1,4]=>0000000=>0000000 [6,7,1,8,4,2,3,5]=>[3,2,8,1,5,7,6,4]=>0000000=>0000000 [6,8,1,7,4,2,3,5]=>[3,1,8,2,5,7,6,4]=>0000000=>0000000 [7,1,8,4,5,2,3,6]=>[2,8,1,5,4,7,6,3]=>0000000=>0000000 [7,6,3,1,2,4,8,5]=>[2,3,6,8,7,5,1,4]=>0000000=>0000000 [6,1,2,3,8,7,5,4]=>[3,8,7,6,1,2,4,5]=>0000000=>0000000 [6,8,3,1,2,7,4,5]=>[3,1,6,8,7,2,5,4]=>0000000=>0000000 [6,7,3,1,2,8,4,5]=>[3,2,6,8,7,1,5,4]=>0000000=>0000000 [6,7,1,4,2,3,8,5]=>[3,2,8,5,7,6,1,4]=>0000000=>0000000 [6,1,2,5,4,8,3,7]=>[3,8,7,4,5,1,6,2]=>0000000=>0000000 [2,4,8,5,1,3,6,7]=>[7,5,1,4,8,6,3,2]=>0000000=>0000000 [1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000=>0000000 [2,3,5,1,8,4,7,6]=>[7,6,4,8,1,5,2,3]=>0000000=>0000000 [2,3,7,5,1,8,4,6]=>[7,6,2,4,8,1,5,3]=>0000000=>0000000 [1,4,6,8,3,5,2,7]=>[8,5,3,1,6,4,7,2]=>0000000=>0000000 [3,5,4,6,8,1,2,7]=>[6,4,5,3,1,8,7,2]=>0000000=>0000000 [3,1,5,7,6,8,4,2]=>[6,8,4,2,3,1,5,7]=>0000000=>0000000 [4,6,2,7,5,8,3,1]=>[5,3,7,2,4,1,6,8]=>0000001=>1000000 [3,5,7,4,8,2,6,1]=>[6,4,2,5,1,7,3,8]=>0000001=>1000000 [1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>0000000=>0000000 [1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>0000000=>0000000 [1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>0000000=>0000000 [5,3,6,2,7,1,4,8]=>[4,6,3,7,2,8,5,1]=>0000000=>0000000 [7,6,2,4,5,8,1,3]=>[2,3,7,5,4,1,8,6]=>0000000=>0000000 [5,3,1,2,8,4,7,6]=>[4,6,8,7,1,5,2,3]=>0000000=>0000000 [5,2,1,8,3,4,6,7]=>[4,7,8,1,6,5,3,2]=>0000000=>0000000 [8,1,6,2,3,4,5,7]=>[1,8,3,7,6,5,4,2]=>1000000=>0000001 [3,2,8,7,1,4,6,5]=>[6,7,1,2,8,5,3,4]=>0000000=>0000000 [3,8,1,7,2,4,5,6]=>[6,1,8,2,7,5,4,3]=>0000000=>0000000 [6,8,2,3,5,1,4,7]=>[3,1,7,6,4,8,5,2]=>0000000=>0000000 [2,8,7,3,4,5,6,1]=>[7,1,2,6,5,4,3,8]=>0000001=>1000000 [7,8,3,6,2,4,5,1]=>[2,1,6,3,7,5,4,8]=>0100001=>1000010 [1,5,8,7,2,3,6,4]=>[8,4,1,2,7,6,3,5]=>0000000=>0000000 [1,7,3,6,5,2,8,4]=>[8,2,6,3,4,7,1,5]=>0000000=>0000000 [8,6,2,5,4,1,7,3]=>[1,3,7,4,5,8,2,6]=>1000000=>0000001 [3,2,6,4,7,5,1,8]=>[6,7,3,5,2,4,8,1]=>0000000=>0000000 [6,2,3,7,5,4,1,8]=>[3,7,6,2,4,5,8,1]=>0000000=>0000000 [1,3,4,7,6,2,8,5]=>[8,6,5,2,3,7,1,4]=>0000000=>0000000 [2,8,3,6,1,7,5,4]=>[7,1,6,3,8,2,4,5]=>0000000=>0000000 [8,7,2,5,1,6,4,3]=>[1,2,7,4,8,3,5,6]=>1100000=>0000011 [3,8,2,6,5,1,7,4]=>[6,1,7,3,4,8,2,5]=>0000000=>0000000 [7,8,2,5,4,1,6,3]=>[2,1,7,4,5,8,3,6]=>0100000=>0000010 [4,8,5,2,6,1,7,3]=>[5,1,4,7,3,8,2,6]=>0000000=>0000000 [4,5,1,3,7,2,8,6]=>[5,4,8,6,2,7,1,3]=>0000000=>0000000 [6,1,3,7,5,2,8,4]=>[3,8,6,2,4,7,1,5]=>0000000=>0000000 [7,1,3,6,2,8,5,4]=>[2,8,6,3,7,1,4,5]=>0000000=>0000000 [8,1,3,6,2,7,5,4]=>[1,8,6,3,7,2,4,5]=>1000000=>0000001 [1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>0000000=>0000000 [7,1,8,2,6,5,4,3]=>[2,8,1,7,3,4,5,6]=>0000000=>0000000 [4,1,7,8,2,6,5,3]=>[5,8,2,1,7,3,4,6]=>0000000=>0000000 [3,4,8,6,5,1,7,2]=>[6,5,1,3,4,8,2,7]=>0000000=>0000000 [8,3,7,5,1,6,4,2]=>[1,6,2,4,8,3,5,7]=>1000000=>0000001 [1,4,8,6,2,7,5,3]=>[8,5,1,3,7,2,4,6]=>0000000=>0000000 [8,4,6,7,1,5,3,2]=>[1,5,3,2,8,4,6,7]=>1000000=>0000001 [3,4,6,5,1,2,8,7]=>[6,5,3,4,8,7,1,2]=>0000000=>0000000 [7,3,5,1,2,8,6,4]=>[2,6,4,8,7,1,3,5]=>0000000=>0000000 [1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>0000000=>0000000 [1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>0000000=>0000000 [7,2,1,6,3,8,5,4]=>[2,7,8,3,6,1,4,5]=>0000000=>0000000 [4,5,2,1,7,3,8,6]=>[5,4,7,8,2,6,1,3]=>0000000=>0000000 [5,6,7,1,2,8,4,3]=>[4,3,2,8,7,1,5,6]=>0000000=>0000000 [3,7,1,6,2,8,5,4]=>[6,2,8,3,7,1,4,5]=>0000000=>0000000 [7,6,1,2,8,5,4,3]=>[2,3,8,7,1,4,5,6]=>0000000=>0000000 [2,7,1,3,8,6,5,4]=>[7,2,8,6,1,3,4,5]=>0000000=>0000000 [1,7,2,3,8,6,5,4]=>[8,2,7,6,1,3,4,5]=>0000000=>0000000 [8,7,1,2,6,5,4,3]=>[1,2,8,7,3,4,5,6]=>1100000=>0000011 [7,8,1,2,6,5,4,3]=>[2,1,8,7,3,4,5,6]=>0100000=>0000010 [3,8,1,6,2,7,5,4]=>[6,1,8,3,7,2,4,5]=>0000000=>0000000 [4,8,5,1,2,7,6,3]=>[5,1,4,8,7,2,3,6]=>0000000=>0000000 [12,11,10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,12,11,10,9,8,7]=>11111100000=>00000111111 [1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>0000000=>0000000 [1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>0000000=>0000000 [7,4,8,1,5,2,3,6]=>[2,5,1,8,4,7,6,3]=>0000000=>0000000 [1,8,5,4,3,7,2,6]=>[8,1,4,5,6,2,7,3]=>0000000=>0000000 [7,4,8,2,1,3,5,6]=>[2,5,1,7,8,6,4,3]=>0000000=>0000000 [7,5,4,8,2,3,6,1]=>[2,4,5,1,7,6,3,8]=>0000001=>1000000 [6,4,8,2,1,3,7,5]=>[3,5,1,7,8,6,2,4]=>0000000=>0000000 [6,5,4,3,7,1,8,2]=>[3,4,5,6,2,8,1,7]=>0000000=>0000000 [6,5,1,7,3,8,2,4]=>[3,4,8,2,6,1,7,5]=>0000000=>0000000 [7,2,8,6,3,1,4,5]=>[2,7,1,3,6,8,5,4]=>0000000=>0000000 [2,1,7,8,3,6,4,5]=>[7,8,2,1,6,3,5,4]=>0000000=>0000000 [5,4,2,1,6,7,8,3]=>[4,5,7,8,3,2,1,6]=>0000000=>0000000 [5,4,3,1,6,7,8,2]=>[4,5,6,8,3,2,1,7]=>0000000=>0000000 [7,8,1,3,2,4,5,6]=>[2,1,8,6,7,5,4,3]=>0100000=>0000010 [7,8,4,1,5,2,3,6]=>[2,1,5,8,4,7,6,3]=>0100000=>0000010 [1,5,4,6,7,2,3,8]=>[8,4,5,3,2,7,6,1]=>0000000=>0000000 [1,6,7,3,2,4,5,8]=>[8,3,2,6,7,5,4,1]=>0000000=>0000000 [1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000=>0000000 [6,1,7,4,5,2,3,8]=>[3,8,2,5,4,7,6,1]=>0000000=>0000000 [1,3,6,7,5,2,8,4]=>[8,6,3,2,4,7,1,5]=>0000000=>0000000 [5,6,1,4,7,3,8,2]=>[4,3,8,5,2,6,1,7]=>0000000=>0000000 [4,3,2,5,6,8,1,7]=>[5,6,7,4,3,1,8,2]=>0000000=>0000000 [1,4,5,2,6,8,7,3]=>[8,5,4,7,3,1,2,6]=>0000000=>0000000 [4,3,2,6,7,1,8,5]=>[5,6,7,3,2,8,1,4]=>0000000=>0000000 [7,1,5,4,6,8,3,2]=>[2,8,4,5,3,1,6,7]=>0000000=>0000000 [5,7,4,6,1,8,3,2]=>[4,2,5,3,8,1,6,7]=>0000000=>0000000 [6,3,4,5,8,1,2,7]=>[3,6,5,4,1,8,7,2]=>0000000=>0000000 [6,2,1,7,3,5,4,8]=>[3,7,8,2,6,4,5,1]=>0000000=>0000000 [2,1,8,6,3,5,4,7]=>[7,8,1,3,6,4,5,2]=>0000000=>0000000 [2,7,3,1,5,4,6,8]=>[7,2,6,8,4,5,3,1]=>0000000=>0000000 [2,6,3,1,4,8,5,7]=>[7,3,6,8,5,1,4,2]=>0000000=>0000000 [4,2,1,8,3,6,7,5]=>[5,7,8,1,6,3,2,4]=>0000000=>0000000 [6,2,1,7,3,5,8,4]=>[3,7,8,2,6,4,1,5]=>0000000=>0000000 [2,7,3,1,4,8,5,6]=>[7,2,6,8,5,1,4,3]=>0000000=>0000000 [3,2,1,5,7,8,4,6]=>[6,7,8,4,2,1,5,3]=>0000000=>0000000 [2,4,7,5,1,6,8,3]=>[7,5,2,4,8,3,1,6]=>0000000=>0000000 [4,3,6,8,5,1,7,2]=>[5,6,3,1,4,8,2,7]=>0000000=>0000000 [2,1,6,8,3,7,4,5]=>[7,8,3,1,6,2,5,4]=>0000000=>0000000 [3,2,1,5,6,8,4,7]=>[6,7,8,4,3,1,5,2]=>0000000=>0000000 [2,1,7,3,6,4,5,8]=>[7,8,2,6,3,5,4,1]=>0000000=>0000000 [2,1,6,3,5,8,4,7]=>[7,8,3,6,4,1,5,2]=>0000000=>0000000 [2,6,1,8,3,5,4,7]=>[7,3,8,1,6,4,5,2]=>0000000=>0000000 [2,7,3,1,5,6,4,8]=>[7,2,6,8,4,3,5,1]=>0000000=>0000000 [2,4,7,5,1,6,3,8]=>[7,5,2,4,8,3,6,1]=>0000000=>0000000 [8,2,4,1,7,5,3,6]=>[1,7,5,8,2,4,6,3]=>1000000=>0000001 [2,4,7,1,8,5,3,6]=>[7,5,2,8,1,4,6,3]=>0000000=>0000000 [2,4,8,5,1,6,3,7]=>[7,5,1,4,8,3,6,2]=>0000000=>0000000 [6,2,1,7,3,4,8,5]=>[3,7,8,2,6,5,1,4]=>0000000=>0000000 [6,2,1,7,8,3,5,4]=>[3,7,8,2,1,6,4,5]=>0000000=>0000000 [2,7,1,8,3,5,6,4]=>[7,2,8,1,6,4,3,5]=>0000000=>0000000 [3,2,1,6,7,4,5,8]=>[6,7,8,3,2,5,4,1]=>0000000=>0000000 [3,2,1,7,4,5,6,8]=>[6,7,8,2,5,4,3,1]=>0000000=>0000000 [2,1,8,3,7,4,5,6]=>[7,8,1,6,2,5,4,3]=>0000000=>0000000 [2,4,8,5,1,6,7,3]=>[7,5,1,4,8,3,2,6]=>0000000=>0000000 [4,3,8,5,6,1,7,2]=>[5,6,1,4,3,8,2,7]=>0000000=>0000000 [3,2,1,8,4,5,6,7]=>[6,7,8,1,5,4,3,2]=>0000000=>0000000 [1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000=>0000000 [6,1,5,8,2,4,7,3]=>[3,8,4,1,7,5,2,6]=>0000000=>0000000 [8,7,1,2,5,4,6,3]=>[1,2,8,7,4,5,3,6]=>1100000=>0000011 [1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>0000000=>0000000 [3,7,4,8,6,5,1,2]=>[6,2,5,1,3,4,8,7]=>0000010=>0100000 [3,6,7,8,1,4,2,5]=>[6,3,2,1,8,5,7,4]=>0000000=>0000000 [6,4,7,3,8,1,2,5]=>[3,5,2,6,1,8,7,4]=>0000000=>0000000 [6,4,5,2,3,8,1,7]=>[3,5,4,7,6,1,8,2]=>0000000=>0000000 [4,5,7,8,3,1,2,6]=>[5,4,2,1,6,8,7,3]=>0000000=>0000000 [5,4,6,2,8,3,1,7]=>[4,5,3,7,1,6,8,2]=>0000000=>0000000 [4,6,7,8,1,3,2,5]=>[5,3,2,1,8,6,7,4]=>0000000=>0000000 [4,6,7,8,1,5,2,3]=>[5,3,2,1,8,4,7,6]=>0000000=>0000000 [4,3,2,7,8,1,6,5]=>[5,6,7,2,1,8,3,4]=>0000000=>0000000 [2,6,7,8,1,5,4,3]=>[7,3,2,1,8,4,5,6]=>0000000=>0000000 [4,5,8,3,7,6,1,2]=>[5,4,1,6,2,3,8,7]=>0000010=>0100000 [7,2,3,4,8,1,5,6]=>[2,7,6,5,1,8,4,3]=>0000000=>0000000 [7,6,3,8,4,5,1,2]=>[2,3,6,1,5,4,8,7]=>0000010=>0100000 [2,6,4,8,1,5,7,3]=>[7,3,5,1,8,4,2,6]=>0000000=>0000000 [7,6,5,1,2,3,8,4]=>[2,3,4,8,7,6,1,5]=>0000000=>0000000 [7,8,5,4,1,2,6,3]=>[2,1,4,5,8,7,3,6]=>0100000=>0000010 [3,5,6,4,1,2,8,7]=>[6,4,3,5,8,7,1,2]=>0000000=>0000000 [7,6,5,1,2,8,3,4]=>[2,3,4,8,7,1,6,5]=>0000000=>0000000 [7,6,5,1,8,2,3,4]=>[2,3,4,8,1,7,6,5]=>0000000=>0000000 [3,6,4,5,1,7,2,8]=>[6,3,5,4,8,2,7,1]=>0000000=>0000000 [7,6,5,1,8,4,2,3]=>[2,3,4,8,1,5,7,6]=>0000000=>0000000 [4,2,7,5,6,3,1,8]=>[5,7,2,4,3,6,8,1]=>0000000=>0000000 [1,6,8,5,2,7,4,3]=>[8,3,1,4,7,2,5,6]=>0000000=>0000000 [3,2,7,8,6,1,5,4]=>[6,7,2,1,3,8,4,5]=>0000000=>0000000 [1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>0000000=>0000000 [8,6,3,5,1,7,2,4]=>[1,3,6,4,8,2,7,5]=>1000000=>0000001 [5,2,3,1,6,7,8,4]=>[4,7,6,8,3,2,1,5]=>0000000=>0000000 [5,7,4,6,1,3,8,2]=>[4,2,5,3,8,6,1,7]=>0000000=>0000000 [8,6,4,1,3,5,2,7]=>[1,3,5,8,6,4,7,2]=>1000000=>0000001 [6,7,4,1,5,3,8,2]=>[3,2,5,8,4,6,1,7]=>0000000=>0000000 [7,5,4,1,2,6,8,3]=>[2,4,5,8,7,3,1,6]=>0000000=>0000000 [1,8,2,5,3,7,6,4]=>[8,1,7,4,6,2,3,5]=>0000000=>0000000 [5,2,1,4,6,7,8,3]=>[4,7,8,5,3,2,1,6]=>0000000=>0000000 [5,4,1,3,6,7,8,2]=>[4,5,8,6,3,2,1,7]=>0000000=>0000000 [5,1,3,4,6,7,8,2]=>[4,8,6,5,3,2,1,7]=>0000000=>0000000 [8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>1000001=>1000001 [8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>1000001=>1000001 [5,4,8,6,2,3,7,1]=>[4,5,1,3,7,6,2,8]=>0000001=>1000000 [2,7,6,1,3,5,4,8]=>[7,2,3,8,6,4,5,1]=>0000000=>0000000 [2,8,6,1,3,5,4,7]=>[7,1,3,8,6,4,5,2]=>0000000=>0000000 [5,7,4,1,8,6,3,2]=>[4,2,5,8,1,3,6,7]=>0000000=>0000000 [5,6,4,2,8,3,7,1]=>[4,3,5,7,1,6,2,8]=>0000001=>1000000 [5,6,4,2,7,3,1,8]=>[4,3,5,7,2,6,8,1]=>0000000=>0000000 [5,8,1,4,6,3,7,2]=>[4,1,8,5,3,6,2,7]=>0000000=>0000000 [3,6,7,4,5,8,2,1]=>[6,3,2,5,4,1,7,8]=>0000011=>1100000 [5,4,6,1,7,8,3,2]=>[4,5,3,8,2,1,6,7]=>0000000=>0000000 [5,6,4,1,8,7,3,2]=>[4,3,5,8,1,2,6,7]=>0000000=>0000000 [3,5,8,4,6,7,2,1]=>[6,4,1,5,3,2,7,8]=>0000011=>1100000 [3,6,8,4,5,7,2,1]=>[6,3,1,5,4,2,7,8]=>0000011=>1100000 [3,7,8,4,5,6,2,1]=>[6,2,1,5,4,3,7,8]=>0000011=>1100000 [3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>0000000=>0000000 [3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>0000000=>0000000 [3,7,1,5,4,6,8,2]=>[6,2,8,4,5,3,1,7]=>0000000=>0000000 [6,7,1,4,5,3,8,2]=>[3,2,8,5,4,6,1,7]=>0000000=>0000000 [5,7,1,4,6,3,8,2]=>[4,2,8,5,3,6,1,7]=>0000000=>0000000 [5,4,7,2,8,3,1,6]=>[4,5,2,7,1,6,8,3]=>0000000=>0000000 [5,4,7,2,8,3,6,1]=>[4,5,2,7,1,6,3,8]=>0000001=>1000000 [5,6,4,2,8,3,1,7]=>[4,3,5,7,1,6,8,2]=>0000000=>0000000 [5,8,1,4,6,3,2,7]=>[4,1,8,5,3,6,7,2]=>0000000=>0000000 [3,8,1,5,4,6,2,7]=>[6,1,8,4,5,3,7,2]=>0000000=>0000000 [3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>0000000=>0000000 [3,6,1,5,4,8,2,7]=>[6,3,8,4,5,1,7,2]=>0000000=>0000000 [6,8,3,1,4,2,5,7]=>[3,1,6,8,5,7,4,2]=>0000000=>0000000 [7,3,8,1,4,2,5,6]=>[2,6,1,8,5,7,4,3]=>0000000=>0000000 [3,6,1,5,4,7,8,2]=>[6,3,8,4,5,2,1,7]=>0000000=>0000000 [3,4,1,2,7,6,5,8]=>[6,5,8,7,2,3,4,1]=>0000000=>0000000 [3,4,1,2,6,8,7,5]=>[6,5,8,7,3,1,2,4]=>0000000=>0000000 [7,8,1,4,5,3,2,6]=>[2,1,8,5,4,6,7,3]=>0100000=>0000010 [3,8,1,5,4,7,2,6]=>[6,1,8,4,5,2,7,3]=>0000000=>0000000 [3,6,1,5,4,8,7,2]=>[6,3,8,4,5,1,2,7]=>0000000=>0000000 [3,6,1,5,4,7,2,8]=>[6,3,8,4,5,2,7,1]=>0000000=>0000000 [6,7,3,1,4,2,5,8]=>[3,2,6,8,5,7,4,1]=>0000000=>0000000 [6,8,3,1,4,2,7,5]=>[3,1,6,8,5,7,2,4]=>0000000=>0000000 [7,8,3,1,4,6,2,5]=>[2,1,6,8,5,3,7,4]=>0100000=>0000010 [7,8,4,2,6,5,1,3]=>[2,1,5,7,3,4,8,6]=>0100000=>0000010 [6,5,8,7,3,4,2,1]=>[3,4,1,2,6,5,7,8]=>0001011=>1101000 [7,8,3,1,4,6,5,2]=>[2,1,6,8,5,3,4,7]=>0100000=>0000010 [6,7,3,1,4,5,2,8]=>[3,2,6,8,5,4,7,1]=>0000000=>0000000 [3,7,1,5,4,2,6,8]=>[6,2,8,4,5,7,3,1]=>0000000=>0000000 [3,8,1,5,4,2,7,6]=>[6,1,8,4,5,7,2,3]=>0000000=>0000000 [5,8,1,4,7,3,6,2]=>[4,1,8,5,2,6,3,7]=>0000000=>0000000 [6,3,7,1,4,8,5,2]=>[3,6,2,8,5,1,4,7]=>0000000=>0000000 [3,7,1,5,4,8,6,2]=>[6,2,8,4,5,1,3,7]=>0000000=>0000000 [3,7,1,5,4,2,8,6]=>[6,2,8,4,5,7,1,3]=>0000000=>0000000 [6,7,3,1,4,5,8,2]=>[3,2,6,8,5,4,1,7]=>0000000=>0000000 [7,3,8,1,4,5,2,6]=>[2,6,1,8,5,4,7,3]=>0000000=>0000000 [6,8,3,1,4,5,2,7]=>[3,1,6,8,5,4,7,2]=>0000000=>0000000 [3,8,1,5,4,2,6,7]=>[6,1,8,4,5,7,3,2]=>0000000=>0000000 [2,3,5,4,1,8,6,7]=>[7,6,4,5,8,1,3,2]=>0000000=>0000000 [2,5,6,1,4,7,8,3]=>[7,4,3,8,5,2,1,6]=>0000000=>0000000 [2,5,6,1,4,7,3,8]=>[7,4,3,8,5,2,6,1]=>0000000=>0000000 [6,3,5,4,7,1,8,2]=>[3,6,4,5,2,8,1,7]=>0000000=>0000000 [3,7,1,6,8,5,2,4]=>[6,2,8,3,1,4,7,5]=>0000000=>0000000 [7,3,5,4,6,8,2,1]=>[2,6,4,5,3,1,7,8]=>0000011=>1100000 [7,3,5,8,4,6,2,1]=>[2,6,4,1,5,3,7,8]=>0000011=>1100000 [1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>0000000=>0000000 [7,4,8,5,3,2,6,1]=>[2,5,1,4,6,7,3,8]=>0000001=>1000000 [3,2,8,6,1,5,4,7]=>[6,7,1,3,8,4,5,2]=>0000000=>0000000 [5,1,8,6,2,3,4,7]=>[4,8,1,3,7,6,5,2]=>0000000=>0000000 [2,5,4,1,8,6,3,7]=>[7,4,5,8,1,3,6,2]=>0000000=>0000000 [7,3,8,5,4,1,2,6]=>[2,6,1,4,5,8,7,3]=>0000000=>0000000 [1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>0000000=>0000000 [7,4,8,1,3,6,2,5]=>[2,5,1,8,6,3,7,4]=>0000000=>0000000 [8,6,1,4,7,3,2,5]=>[1,3,8,5,2,6,7,4]=>1000000=>0000001 [6,8,3,1,7,2,4,5]=>[3,1,6,8,2,7,5,4]=>0000000=>0000000 [8,3,1,4,7,2,6,5]=>[1,6,8,5,2,7,3,4]=>1000000=>0000001 [8,3,2,1,5,7,4,6]=>[1,6,7,8,4,2,5,3]=>1000000=>0000001 [8,3,6,4,7,1,2,5]=>[1,6,3,5,2,8,7,4]=>1000000=>0000001 [7,6,4,8,1,5,2,3]=>[2,3,5,1,8,4,7,6]=>0000000=>0000000 [8,7,4,6,1,5,2,3]=>[1,2,5,3,8,4,7,6]=>1100000=>0000011 [4,8,7,6,1,5,2,3]=>[5,1,2,3,8,4,7,6]=>0000000=>0000000 [5,8,7,6,1,4,2,3]=>[4,1,2,3,8,5,7,6]=>0001000=>0001000 [6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>0000000=>0000000 [8,4,7,6,1,5,2,3]=>[1,5,2,3,8,4,7,6]=>1000000=>0000001 [8,4,6,7,1,5,2,3]=>[1,5,3,2,8,4,7,6]=>1000000=>0000001 [2,4,3,7,1,6,5,8]=>[7,5,6,2,8,3,4,1]=>0000000=>0000000 [8,6,7,5,1,4,2,3]=>[1,3,2,4,8,5,7,6]=>1011000=>0001101 [6,8,7,5,1,4,2,3]=>[3,1,2,4,8,5,7,6]=>0011000=>0001100 [5,6,8,7,1,4,2,3]=>[4,3,1,2,8,5,7,6]=>0001000=>0001000 [4,6,8,7,1,5,2,3]=>[5,3,1,2,8,4,7,6]=>0000000=>0000000 [6,7,8,5,1,4,2,3]=>[3,2,1,4,8,5,7,6]=>0011000=>0001100 [7,8,6,5,1,4,2,3]=>[2,1,3,4,8,5,7,6]=>0111000=>0001110 [4,1,8,5,2,3,6,7]=>[5,8,1,4,7,6,3,2]=>0000000=>0000000 [6,8,3,1,5,4,2,7]=>[3,1,6,8,4,5,7,2]=>0000000=>0000000 [4,7,2,1,8,5,3,6]=>[5,2,7,8,1,4,6,3]=>0000000=>0000000 [6,2,4,1,8,5,3,7]=>[3,7,5,8,1,4,6,2]=>0000000=>0000000 [5,3,1,4,8,6,7,2]=>[4,6,8,5,1,3,2,7]=>0000000=>0000000 [7,5,1,6,3,4,8,2]=>[2,4,8,3,6,5,1,7]=>0000000=>0000000 [8,2,6,1,4,5,3,7]=>[1,7,3,8,5,4,6,2]=>1000000=>0000001 [4,2,1,5,6,3,8,7]=>[5,7,8,4,3,6,1,2]=>0000000=>0000000 [7,1,4,5,6,8,3,2]=>[2,8,5,4,3,1,6,7]=>0000000=>0000000 [7,8,6,5,1,4,3,2]=>[2,1,3,4,8,5,6,7]=>0111000=>0001110 [8,7,4,5,2,1,6,3]=>[1,2,5,4,7,8,3,6]=>1100000=>0000011 [5,8,4,3,6,1,2,7]=>[4,1,5,6,3,8,7,2]=>0000000=>0000000 [1,5,8,4,6,7,3,2]=>[8,4,1,5,3,2,6,7]=>0000000=>0000000 [4,3,8,2,1,7,5,6]=>[5,6,1,7,8,2,4,3]=>0000000=>0000000 [3,8,2,5,6,7,1,4]=>[6,1,7,4,3,2,8,5]=>0000000=>0000000 [7,8,4,3,6,2,1,5]=>[2,1,5,6,3,7,8,4]=>0100000=>0000010 [4,3,1,8,5,7,6,2]=>[5,6,8,1,4,2,3,7]=>0000000=>0000000 [7,5,4,8,6,2,1,3]=>[2,4,5,1,3,7,8,6]=>0000100=>0010000 [7,5,4,1,6,2,3,8]=>[2,4,5,8,3,7,6,1]=>0000000=>0000000 [8,3,5,2,1,7,4,6]=>[1,6,4,7,8,2,5,3]=>1000000=>0000001 [7,3,5,4,1,8,6,2]=>[2,6,4,5,8,1,3,7]=>0000000=>0000000 [5,2,7,1,3,4,8,6]=>[4,7,2,8,6,5,1,3]=>0000000=>0000000 [2,6,5,7,3,1,8,4]=>[7,3,4,2,6,8,1,5]=>0000000=>0000000 [6,3,2,4,7,5,1,8]=>[3,6,7,5,2,4,8,1]=>0000000=>0000000 [4,2,1,6,3,7,8,5]=>[5,7,8,3,6,2,1,4]=>0000000=>0000000 [7,4,3,5,8,6,1,2]=>[2,5,6,4,1,3,8,7]=>0000010=>0100000 [7,4,3,5,8,6,2,1]=>[2,5,6,4,1,3,7,8]=>0000011=>1100000 [5,8,1,7,4,3,2,6]=>[4,1,8,2,5,6,7,3]=>0000000=>0000000 [4,8,6,2,7,3,5,1]=>[5,1,3,7,2,6,4,8]=>0000001=>1000000 [7,3,4,2,6,8,1,5]=>[2,6,5,7,3,1,8,4]=>0000000=>0000000 [3,6,7,5,2,4,8,1]=>[6,3,2,4,7,5,1,8]=>0000001=>1000000 [5,8,1,7,4,2,6,3]=>[4,1,8,2,5,7,3,6]=>0000000=>0000000 [4,2,1,8,3,7,6,5]=>[5,7,8,1,6,2,3,4]=>0000000=>0000000 [4,7,5,2,1,3,6,8]=>[5,2,4,7,8,6,3,1]=>0000000=>0000000 [2,5,3,8,4,7,6,1]=>[7,4,6,1,5,2,3,8]=>0000001=>1000000 [2,8,5,7,3,6,4,1]=>[7,1,4,2,6,3,5,8]=>0000001=>1000000 [3,1,8,5,2,7,6,4]=>[6,8,1,4,7,2,3,5]=>0000000=>0000000 [8,3,5,7,1,6,4,2]=>[1,6,4,2,8,3,5,7]=>1000000=>0000001 [8,3,6,1,4,5,7,2]=>[1,6,3,8,5,4,2,7]=>1000000=>0000001 [2,8,6,3,4,5,7,1]=>[7,1,3,6,5,4,2,8]=>0000001=>1000000 [2,6,8,3,4,5,7,1]=>[7,3,1,6,5,4,2,8]=>0000001=>1000000 [2,7,8,5,3,6,4,1]=>[7,2,1,4,6,3,5,8]=>0000001=>1000000 [2,7,6,3,4,8,5,1]=>[7,2,3,6,5,1,4,8]=>0000001=>1000000 [8,3,7,6,1,4,5,2]=>[1,6,2,3,8,5,4,7]=>1000000=>0000001 [4,8,1,7,2,3,6,5]=>[5,1,8,2,7,6,3,4]=>0000000=>0000000 [4,1,7,2,3,6,5,8]=>[5,8,2,7,6,3,4,1]=>0000000=>0000000 [3,7,1,8,2,6,4,5]=>[6,2,8,1,7,3,5,4]=>0000000=>0000000 [3,1,7,8,2,5,6,4]=>[6,8,2,1,7,4,3,5]=>0000000=>0000000 [7,3,6,1,4,8,5,2]=>[2,6,3,8,5,1,4,7]=>0000000=>0000000 [7,8,3,6,1,4,5,2]=>[2,1,6,3,8,5,4,7]=>0100000=>0000010 [7,4,8,1,2,3,6,5]=>[2,5,1,8,7,6,3,4]=>0000000=>0000000 [8,7,4,6,1,2,5,3]=>[1,2,5,3,8,7,4,6]=>1100000=>0000011 [7,4,6,1,2,8,3,5]=>[2,5,3,8,7,1,6,4]=>0000000=>0000000 [5,7,1,2,3,6,4,8]=>[4,2,8,7,6,3,5,1]=>0000000=>0000000 [3,6,8,1,2,7,4,5]=>[6,3,1,8,7,2,5,4]=>0000000=>0000000 [4,8,6,1,2,3,7,5]=>[5,1,3,8,7,6,2,4]=>0000000=>0000000 [8,4,6,1,2,3,7,5]=>[1,5,3,8,7,6,2,4]=>1000000=>0000001 [4,8,1,5,2,7,3,6]=>[5,1,8,4,7,2,6,3]=>0000000=>0000000 [4,1,2,5,3,8,7,6]=>[5,8,7,4,6,1,2,3]=>0000000=>0000000 [3,1,4,8,7,5,2,6]=>[6,8,5,1,2,4,7,3]=>0000000=>0000000 [4,3,6,8,7,5,1,2]=>[5,6,3,1,2,4,8,7]=>0000010=>0100000 [5,4,1,8,2,7,6,3]=>[4,5,8,1,7,2,3,6]=>0000000=>0000000 [5,4,1,8,2,7,3,6]=>[4,5,8,1,7,2,6,3]=>0000000=>0000000 [8,6,7,4,1,2,5,3]=>[1,3,2,5,8,7,4,6]=>1010000=>0000101 [6,4,8,1,2,5,3,7]=>[3,5,1,8,7,4,6,2]=>0000000=>0000000 [6,7,3,1,4,8,5,2]=>[3,2,6,8,5,1,4,7]=>0000000=>0000000 [5,6,3,8,7,1,4,2]=>[4,3,6,1,2,8,5,7]=>0000000=>0000000 [6,7,4,1,2,8,3,5]=>[3,2,5,8,7,1,6,4]=>0000000=>0000000 [6,5,1,2,3,7,8,4]=>[3,4,8,7,6,2,1,5]=>0000000=>0000000 [6,5,1,2,3,4,8,7]=>[3,4,8,7,6,5,1,2]=>0000000=>0000000 [8,6,5,1,2,3,7,4]=>[1,3,4,8,7,6,2,5]=>1000000=>0000001 [6,7,4,1,2,5,3,8]=>[3,2,5,8,7,4,6,1]=>0000000=>0000000 [1,3,8,2,6,5,7,4]=>[8,6,1,7,3,4,2,5]=>0000000=>0000000 [6,7,5,2,1,8,4,3]=>[3,2,4,7,8,1,5,6]=>0000000=>0000000 [5,6,8,3,1,7,2,4]=>[4,3,1,6,8,2,7,5]=>0000000=>0000000 [4,2,5,7,3,8,6,1]=>[5,7,4,2,6,1,3,8]=>0000001=>1000000 [6,4,3,1,7,8,2,5]=>[3,5,6,8,2,1,7,4]=>0000000=>0000000 [4,5,3,1,7,8,2,6]=>[5,4,6,8,2,1,7,3]=>0000000=>0000000 [7,1,3,5,4,8,2,6]=>[2,8,6,4,5,1,7,3]=>0000000=>0000000 [7,5,2,8,1,4,3,6]=>[2,4,7,1,8,5,6,3]=>0000000=>0000000 [1,4,5,7,3,8,6,2]=>[8,5,4,2,6,1,3,7]=>0000000=>0000000 [4,6,3,7,8,5,2,1]=>[5,3,6,2,1,4,7,8]=>0000011=>1100000 [4,6,1,7,3,8,5,2]=>[5,3,8,2,6,1,4,7]=>0000000=>0000000 [6,7,2,4,8,1,5,3]=>[3,2,7,5,1,8,4,6]=>0000000=>0000000 [3,5,7,2,1,8,6,4]=>[6,4,2,7,8,1,3,5]=>0000000=>0000000 [6,3,7,8,2,5,4,1]=>[3,6,2,1,7,4,5,8]=>0000001=>1000000 [6,2,4,7,1,8,5,3]=>[3,7,5,2,8,1,4,6]=>0000000=>0000000 [1,6,4,7,8,2,5,3]=>[8,3,5,2,1,7,4,6]=>0000000=>0000000 [2,5,6,1,7,8,4,3]=>[7,4,3,8,2,1,5,6]=>0000000=>0000000 [6,7,2,1,8,5,3,4]=>[3,2,7,8,1,4,6,5]=>0000000=>0000000 [6,4,5,2,3,8,7,1]=>[3,5,4,7,6,1,2,8]=>0000001=>1000000 [6,4,2,5,3,8,7,1]=>[3,5,7,4,6,1,2,8]=>0000001=>1000000 [6,4,2,5,8,7,3,1]=>[3,5,7,4,1,2,6,8]=>0000001=>1000000 [6,8,2,7,4,5,3,1]=>[3,1,7,2,5,4,6,8]=>0000001=>1000000 [8,6,2,4,7,5,3,1]=>[1,3,7,5,2,4,6,8]=>1000001=>1000001 [2,6,4,5,8,7,3,1]=>[7,3,5,4,1,2,6,8]=>0000001=>1000000 [8,2,4,6,7,5,3,1]=>[1,7,5,3,2,4,6,8]=>1000001=>1000001 [8,2,6,4,7,5,3,1]=>[1,7,3,5,2,4,6,8]=>1000001=>1000001 [4,6,8,2,7,5,3,1]=>[5,3,1,7,2,4,6,8]=>0000001=>1000000 [2,1,6,8,4,7,5,3]=>[7,8,3,1,5,2,4,6]=>0000000=>0000000 [3,2,6,8,4,7,1,5]=>[6,7,3,1,5,2,8,4]=>0000000=>0000000 [4,2,6,8,3,1,7,5]=>[5,7,3,1,6,8,2,4]=>0000000=>0000000 [4,2,5,3,8,1,7,6]=>[5,7,4,6,1,8,2,3]=>0000000=>0000000 [3,6,5,8,7,1,2,4]=>[6,3,4,1,2,8,7,5]=>0000000=>0000000 [3,4,5,2,8,7,1,6]=>[6,5,4,7,1,2,8,3]=>0000000=>0000000 [3,4,6,2,8,5,7,1]=>[6,5,3,7,1,4,2,8]=>0000001=>1000000 [3,4,6,1,8,5,2,7]=>[6,5,3,8,1,4,7,2]=>0000000=>0000000 [4,1,6,7,5,8,2,3]=>[5,8,3,2,4,1,7,6]=>0000000=>0000000 [5,8,7,6,1,2,4,3]=>[4,1,2,3,8,7,5,6]=>0001000=>0001000 [4,2,7,3,6,1,8,5]=>[5,7,2,6,3,8,1,4]=>0000000=>0000000 [2,8,6,5,3,7,1,4]=>[7,1,3,4,6,2,8,5]=>0000000=>0000000 [3,2,6,1,4,5,8,7]=>[6,7,3,8,5,4,1,2]=>0000000=>0000000 [5,8,7,6,1,3,4,2]=>[4,1,2,3,8,6,5,7]=>0001000=>0001000 [2,8,7,5,4,3,1,6]=>[7,1,2,4,5,6,8,3]=>0000000=>0000000 [4,1,7,5,6,3,2,8]=>[5,8,2,4,3,6,7,1]=>0000000=>0000000 [5,8,7,6,1,3,2,4]=>[4,1,2,3,8,6,7,5]=>0001000=>0001000 [8,1,7,2,4,5,3,6]=>[1,8,2,7,5,4,6,3]=>1000000=>0000001 [7,2,1,5,4,3,6,8]=>[2,7,8,4,5,6,3,1]=>0000000=>0000000 [8,1,3,5,4,2,6,7]=>[1,8,6,4,5,7,3,2]=>1000000=>0000001 [8,1,5,3,4,2,6,7]=>[1,8,4,6,5,7,3,2]=>1000000=>0000001 [8,1,5,6,2,3,7,4]=>[1,8,4,3,7,6,2,5]=>1000000=>0000001 [8,1,4,5,3,2,6,7]=>[1,8,5,4,6,7,3,2]=>1000000=>0000001 [8,1,4,3,5,2,6,7]=>[1,8,5,6,4,7,3,2]=>1000000=>0000001 [7,2,1,4,5,3,6,8]=>[2,7,8,5,4,6,3,1]=>0000000=>0000000 [6,3,2,1,5,4,7,8]=>[3,6,7,8,4,5,2,1]=>0000000=>0000000 [7,3,1,4,5,2,6,8]=>[2,6,8,5,4,7,3,1]=>0000000=>0000000 [7,3,1,5,4,2,6,8]=>[2,6,8,4,5,7,3,1]=>0000000=>0000000 [7,3,1,6,2,5,4,8]=>[2,6,8,3,7,4,5,1]=>0000000=>0000000 [3,7,1,4,5,2,6,8]=>[6,2,8,5,4,7,3,1]=>0000000=>0000000 [6,3,4,1,5,2,7,8]=>[3,6,5,8,4,7,2,1]=>0000000=>0000000 [6,2,4,1,5,3,7,8]=>[3,7,5,8,4,6,2,1]=>0000000=>0000000 [2,6,4,1,5,3,7,8]=>[7,3,5,8,4,6,2,1]=>0000000=>0000000 [6,5,2,1,3,7,4,8]=>[3,4,7,8,6,2,5,1]=>0000000=>0000000 [7,6,1,2,4,5,3,8]=>[2,3,8,7,5,4,6,1]=>0000000=>0000000 [6,7,1,2,8,3,5,4]=>[3,2,8,7,1,6,4,5]=>0000000=>0000000 [2,4,6,1,5,3,7,8]=>[7,5,3,8,4,6,2,1]=>0000000=>0000000 [4,7,1,3,5,2,6,8]=>[5,2,8,6,4,7,3,1]=>0000000=>0000000 [4,7,1,5,3,2,6,8]=>[5,2,8,4,6,7,3,1]=>0000000=>0000000 [5,6,3,1,2,7,4,8]=>[4,3,6,8,7,2,5,1]=>0000000=>0000000 [4,2,5,3,1,6,7,8]=>[5,7,4,6,8,3,2,1]=>0000000=>0000000 [8,6,7,5,3,1,4,2]=>[1,3,2,4,6,8,5,7]=>1011000=>0001101 [5,8,7,3,2,6,4,1]=>[4,1,2,6,7,3,5,8]=>0000001=>1000000 [5,8,1,7,2,6,4,3]=>[4,1,8,2,7,3,5,6]=>0000000=>0000000 [8,1,5,7,2,6,4,3]=>[1,8,4,2,7,3,5,6]=>1000000=>0000001 [5,8,7,2,1,6,3,4]=>[4,1,2,7,8,3,6,5]=>0000000=>0000000 [7,1,2,8,5,6,3,4]=>[2,8,7,1,4,3,6,5]=>0000000=>0000000 [8,7,2,1,5,6,3,4]=>[1,2,7,8,4,3,6,5]=>1100000=>0000011 [8,5,1,6,3,4,7,2]=>[1,4,8,3,6,5,2,7]=>1000000=>0000001 [8,7,1,3,5,6,2,4]=>[1,2,8,6,4,3,7,5]=>1100000=>0000011 [5,8,2,4,3,6,7,1]=>[4,1,7,5,6,3,2,8]=>0000001=>1000000 [8,6,5,1,4,3,7,2]=>[1,3,4,8,5,6,2,7]=>1000000=>0000001 [2,7,8,4,1,6,3,5]=>[7,2,1,5,8,3,6,4]=>0000000=>0000000 [4,1,7,6,3,8,2,5]=>[5,8,2,3,6,1,7,4]=>0000000=>0000000 [4,8,2,5,7,6,3,1]=>[5,1,7,4,2,3,6,8]=>0000001=>1000000 [4,6,1,5,2,3,8,7]=>[5,3,8,4,7,6,1,2]=>0000000=>0000000 [2,6,7,5,1,8,4,3]=>[7,3,2,4,8,1,5,6]=>0000000=>0000000 [4,8,5,1,6,7,2,3]=>[5,1,4,8,3,2,7,6]=>0000000=>0000000 [8,1,6,3,5,2,7,4]=>[1,8,3,6,4,7,2,5]=>1000000=>0000001 [6,3,8,1,4,2,5,7]=>[3,6,1,8,5,7,4,2]=>0000000=>0000000 [2,5,8,4,6,7,3,1]=>[7,4,1,5,3,2,6,8]=>0000001=>1000000 [2,4,8,1,6,7,3,5]=>[7,5,1,8,3,2,6,4]=>0000000=>0000000 [1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000=>0000000 [1,8,5,6,2,4,3,7]=>[8,1,4,3,7,5,6,2]=>0000000=>0000000 [5,4,8,2,3,6,1,7]=>[4,5,1,7,6,3,8,2]=>0000000=>0000000 [5,8,7,4,1,2,3,6]=>[4,1,2,5,8,7,6,3]=>0000000=>0000000 [3,8,7,5,1,2,4,6]=>[6,1,2,4,8,7,5,3]=>0000000=>0000000 [3,7,6,1,2,4,5,8]=>[6,2,3,8,7,5,4,1]=>0000000=>0000000 [8,5,7,4,1,2,3,6]=>[1,4,2,5,8,7,6,3]=>1000000=>0000001 [7,6,2,3,8,1,4,5]=>[2,3,7,6,1,8,5,4]=>0000000=>0000000 [7,4,8,5,1,6,2,3]=>[2,5,1,4,8,3,7,6]=>0000000=>0000000 [1,7,2,8,6,3,4,5]=>[8,2,7,1,3,6,5,4]=>0000000=>0000000 [1,4,8,7,2,3,5,6]=>[8,5,1,2,7,6,4,3]=>0000000=>0000000 [1,5,8,7,2,3,4,6]=>[8,4,1,2,7,6,5,3]=>0000000=>0000000 [4,1,8,7,2,3,5,6]=>[5,8,1,2,7,6,4,3]=>0000000=>0000000 [5,1,8,7,2,3,4,6]=>[4,8,1,2,7,6,5,3]=>0000000=>0000000 [7,1,5,8,3,4,2,6]=>[2,8,4,1,6,5,7,3]=>0000000=>0000000 [6,4,2,7,5,8,3,1]=>[3,5,7,2,4,1,6,8]=>0000001=>1000000 [6,4,2,7,5,3,8,1]=>[3,5,7,2,4,6,1,8]=>0000001=>1000000 [2,4,1,7,5,3,6,8]=>[7,5,8,2,4,6,3,1]=>0000000=>0000000 [6,4,2,3,8,5,1,7]=>[3,5,7,6,1,4,8,2]=>0000000=>0000000 [3,4,7,2,6,5,1,8]=>[6,5,2,7,3,4,8,1]=>0000000=>0000000 [5,3,6,2,4,7,8,1]=>[4,6,3,7,5,2,1,8]=>0000001=>1000000 [5,3,6,1,4,8,7,2]=>[4,6,3,8,5,1,2,7]=>0000000=>0000000 [5,3,7,2,4,6,8,1]=>[4,6,2,7,5,3,1,8]=>0000001=>1000000 [4,2,1,5,8,6,3,7]=>[5,7,8,4,1,3,6,2]=>0000000=>0000000 [4,2,1,5,8,6,7,3]=>[5,7,8,4,1,3,2,6]=>0000000=>0000000 [4,3,1,7,5,8,6,2]=>[5,6,8,2,4,1,3,7]=>0000000=>0000000 [6,7,3,1,4,8,2,5]=>[3,2,6,8,5,1,7,4]=>0000000=>0000000 [5,3,7,1,4,8,2,6]=>[4,6,2,8,5,1,7,3]=>0000000=>0000000 [4,3,1,5,7,8,2,6]=>[5,6,8,4,2,1,7,3]=>0000000=>0000000 [3,2,1,8,5,4,6,7]=>[6,7,8,1,4,5,3,2]=>0000000=>0000000 [3,2,1,8,5,7,4,6]=>[6,7,8,1,4,2,5,3]=>0000000=>0000000 [6,7,2,1,8,4,5,3]=>[3,2,7,8,1,5,4,6]=>0000000=>0000000 [3,2,1,8,5,6,4,7]=>[6,7,8,1,4,3,5,2]=>0000000=>0000000 [4,3,1,6,7,8,5,2]=>[5,6,8,3,2,1,4,7]=>0000000=>0000000 [4,2,1,6,8,5,3,7]=>[5,7,8,3,1,4,6,2]=>0000000=>0000000 [5,2,6,1,8,7,3,4]=>[4,7,3,8,1,2,6,5]=>0000000=>0000000 [5,2,6,1,8,3,4,7]=>[4,7,3,8,1,6,5,2]=>0000000=>0000000 [4,2,1,6,8,3,7,5]=>[5,7,8,3,1,6,2,4]=>0000000=>0000000 [4,3,1,6,7,8,2,5]=>[5,6,8,3,2,1,7,4]=>0000000=>0000000 [4,2,1,7,8,6,3,5]=>[5,7,8,2,1,3,6,4]=>0000000=>0000000 [3,2,1,8,6,4,7,5]=>[6,7,8,1,3,5,2,4]=>0000000=>0000000 [3,2,1,8,6,4,5,7]=>[6,7,8,1,3,5,4,2]=>0000000=>0000000 [3,2,1,8,4,6,5,7]=>[6,7,8,1,5,3,4,2]=>0000000=>0000000 [3,2,1,8,4,6,7,5]=>[6,7,8,1,5,3,2,4]=>0000000=>0000000 [4,2,1,7,8,3,6,5]=>[5,7,8,2,1,6,3,4]=>0000000=>0000000 [5,2,7,1,8,3,6,4]=>[4,7,2,8,1,6,3,5]=>0000000=>0000000 [6,7,2,1,8,3,5,4]=>[3,2,7,8,1,6,4,5]=>0000000=>0000000 [5,2,7,1,8,3,4,6]=>[4,7,2,8,1,6,5,3]=>0000000=>0000000 [4,2,1,7,8,3,5,6]=>[5,7,8,2,1,6,4,3]=>0000000=>0000000 [3,2,1,8,4,5,7,6]=>[6,7,8,1,5,4,2,3]=>0000000=>0000000 [7,4,8,6,2,5,3,1]=>[2,5,1,3,7,4,6,8]=>0000001=>1000000 [7,3,8,6,2,4,5,1]=>[2,6,1,3,7,5,4,8]=>0000001=>1000000 [7,4,3,1,8,2,5,6]=>[2,5,6,8,1,7,4,3]=>0000000=>0000000 [7,4,2,8,5,6,1,3]=>[2,5,7,1,4,3,8,6]=>0000000=>0000000 [7,3,8,5,2,4,6,1]=>[2,6,1,4,7,5,3,8]=>0000001=>1000000 [6,3,8,2,4,5,1,7]=>[3,6,1,7,5,4,8,2]=>0000000=>0000000 [6,3,8,2,5,7,4,1]=>[3,6,1,7,4,2,5,8]=>0000001=>1000000 [5,6,7,3,8,2,4,1]=>[4,3,2,6,1,7,5,8]=>0000001=>1000000 [5,3,8,2,4,6,7,1]=>[4,6,1,7,5,3,2,8]=>0000001=>1000000 [6,3,8,2,4,7,5,1]=>[3,6,1,7,5,2,4,8]=>0000001=>1000000 [6,5,3,1,4,2,7,8]=>[3,4,6,8,5,7,2,1]=>0000000=>0000000 [5,7,4,2,6,1,3,8]=>[4,2,5,7,3,8,6,1]=>0000000=>0000000 [5,6,4,2,3,8,1,7]=>[4,3,5,7,6,1,8,2]=>0000000=>0000000 [5,6,3,7,8,2,4,1]=>[4,3,6,2,1,7,5,8]=>0000001=>1000000 [5,6,3,8,2,4,7,1]=>[4,3,6,1,7,5,2,8]=>0000001=>1000000 [6,3,7,2,4,5,1,8]=>[3,6,2,7,5,4,8,1]=>0000000=>0000000 [6,3,7,2,5,8,4,1]=>[3,6,2,7,4,1,5,8]=>0000001=>1000000 [5,3,6,8,2,4,7,1]=>[4,6,3,1,7,5,2,8]=>0000001=>1000000 [5,3,6,7,8,2,4,1]=>[4,6,3,2,1,7,5,8]=>0000001=>1000000 [5,6,3,4,2,1,8,7]=>[4,3,6,5,7,8,1,2]=>0000000=>0000000 [4,3,8,5,7,6,2,1]=>[5,6,1,4,2,3,7,8]=>0000011=>1100000 [7,6,2,4,1,8,5,3]=>[2,3,7,5,8,1,4,6]=>0000000=>0000000 [8,5,4,1,7,6,2,3]=>[1,4,5,8,2,3,7,6]=>1000000=>0000001 [2,1,6,4,3,7,8,5]=>[7,8,3,5,6,2,1,4]=>0000000=>0000000 [5,7,6,2,3,8,4,1]=>[4,2,3,7,6,1,5,8]=>0000001=>1000000 [2,6,1,7,5,8,4,3]=>[7,3,8,2,4,1,5,6]=>0000000=>0000000 [8,5,7,6,2,1,4,3]=>[1,4,2,3,7,8,5,6]=>1001000=>0001001 [4,8,5,7,6,2,1,3]=>[5,1,4,2,3,7,8,6]=>0000100=>0010000 [7,5,6,1,8,4,2,3]=>[2,4,3,8,1,5,7,6]=>0000000=>0000000 [7,6,8,1,3,4,5,2]=>[2,3,1,8,6,5,4,7]=>0010000=>0000100 [8,4,2,7,1,5,6,3]=>[1,5,7,2,8,4,3,6]=>1000000=>0000001 [7,4,2,1,3,6,8,5]=>[2,5,7,8,6,3,1,4]=>0000000=>0000000 [6,7,1,2,4,5,8,3]=>[3,2,8,7,5,4,1,6]=>0000000=>0000000 [4,1,3,2,5,7,8,6]=>[5,8,6,7,4,2,1,3]=>0000000=>0000000 [4,8,1,5,2,3,6,7]=>[5,1,8,4,7,6,3,2]=>0000000=>0000000 [7,4,1,5,2,3,6,8]=>[2,5,8,4,7,6,3,1]=>0000000=>0000000 [5,6,1,8,4,3,2,7]=>[4,3,8,1,5,6,7,2]=>0000000=>0000000 [6,1,2,5,8,3,7,4]=>[3,8,7,4,1,6,2,5]=>0000000=>0000000 [6,5,1,7,4,3,2,8]=>[3,4,8,2,5,6,7,1]=>0000000=>0000000 [1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>0000000=>0000000 [1,4,6,3,8,2,7,5]=>[8,5,3,6,1,7,2,4]=>0000000=>0000000 [1,4,7,3,8,2,6,5]=>[8,5,2,6,1,7,3,4]=>0000000=>0000000 [3,2,6,7,8,1,5,4]=>[6,7,3,2,1,8,4,5]=>0000000=>0000000 [3,5,2,7,8,4,1,6]=>[6,4,7,2,1,5,8,3]=>0000000=>0000000 [2,5,7,4,3,8,6,1]=>[7,4,2,5,6,1,3,8]=>0000001=>1000000 [4,6,3,7,2,8,5,1]=>[5,3,6,2,7,1,4,8]=>0000001=>1000000 [1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>0000000=>0000000 [5,3,7,8,2,4,1,6]=>[4,6,2,1,7,5,8,3]=>0000000=>0000000 [3,2,4,8,1,5,6,7]=>[6,7,5,1,8,4,3,2]=>0000000=>0000000 [5,3,8,7,2,4,1,6]=>[4,6,1,2,7,5,8,3]=>0000000=>0000000 [3,2,8,4,1,7,6,5]=>[6,7,1,5,8,2,3,4]=>0000000=>0000000 [6,8,7,5,2,3,1,4]=>[3,1,2,4,7,6,8,5]=>0011000=>0001100 [2,6,5,8,3,1,7,4]=>[7,3,4,1,6,8,2,5]=>0000000=>0000000 [4,6,1,5,8,3,7,2]=>[5,3,8,4,1,6,2,7]=>0000000=>0000000 [4,1,6,5,8,3,7,2]=>[5,8,3,4,1,6,2,7]=>0000000=>0000000 [4,1,6,5,8,7,3,2]=>[5,8,3,4,1,2,6,7]=>0000000=>0000000 [6,4,3,8,7,1,5,2]=>[3,5,6,1,2,8,4,7]=>0000000=>0000000 [2,6,8,5,3,7,1,4]=>[7,3,1,4,6,2,8,5]=>0000000=>0000000 [4,3,6,1,8,5,7,2]=>[5,6,3,8,1,4,2,7]=>0000000=>0000000 [4,6,3,8,1,7,5,2]=>[5,3,6,1,8,2,4,7]=>0000000=>0000000 [4,1,6,3,8,7,5,2]=>[5,8,3,6,1,2,4,7]=>0000000=>0000000 [1,4,6,3,8,7,5,2]=>[8,5,3,6,1,2,4,7]=>0000000=>0000000 [4,6,8,1,3,7,5,2]=>[5,3,1,8,6,2,4,7]=>0000000=>0000000 [6,2,8,5,7,1,3,4]=>[3,7,1,4,2,8,6,5]=>0000000=>0000000 [6,1,4,8,7,5,3,2]=>[3,8,5,1,2,4,6,7]=>0000000=>0000000 [3,5,2,1,6,8,4,7]=>[6,4,7,8,3,1,5,2]=>0000000=>0000000 [1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000=>0000000 [1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>0000000=>0000000 [8,4,1,7,3,5,2,6]=>[1,5,8,2,6,4,7,3]=>1000000=>0000001 [8,4,2,5,3,1,6,7]=>[1,5,7,4,6,8,3,2]=>1000000=>0000001 [5,1,7,2,8,4,3,6]=>[4,8,2,7,1,5,6,3]=>0000000=>0000000 [6,3,2,1,8,4,5,7]=>[3,6,7,8,1,5,4,2]=>0000000=>0000000 [6,8,1,3,4,7,2,5]=>[3,1,8,6,5,2,7,4]=>0000000=>0000000 [8,6,2,3,4,1,7,5]=>[1,3,7,6,5,8,2,4]=>1000000=>0000001 [5,3,7,2,6,1,8,4]=>[4,6,2,7,3,8,1,5]=>0000000=>0000000 [7,8,4,1,2,6,5,3]=>[2,1,5,8,7,3,4,6]=>0100000=>0000010 [7,8,2,6,5,1,3,4]=>[2,1,7,3,4,8,6,5]=>0100000=>0000010 [6,1,2,8,5,7,3,4]=>[3,8,7,1,4,2,6,5]=>0000000=>0000000 [6,1,3,8,5,2,7,4]=>[3,8,6,1,4,7,2,5]=>0000000=>0000000 [2,8,7,6,4,3,1,5]=>[7,1,2,3,5,6,8,4]=>0000000=>0000000 [4,8,7,6,2,1,3,5]=>[5,1,2,3,7,8,6,4]=>0000000=>0000000 [4,8,7,6,1,3,2,5]=>[5,1,2,3,8,6,7,4]=>0000000=>0000000 [7,8,3,6,5,1,2,4]=>[2,1,6,3,4,8,7,5]=>0100000=>0000010 [3,8,7,6,4,2,1,5]=>[6,1,2,3,5,7,8,4]=>0000000=>0000000 [8,3,4,2,6,1,7,5]=>[1,6,5,7,3,8,2,4]=>1000000=>0000001 [4,7,1,2,8,5,3,6]=>[5,2,8,7,1,4,6,3]=>0000000=>0000000 [2,1,6,3,7,5,4,8]=>[7,8,3,6,2,4,5,1]=>0000000=>0000000 [8,7,4,2,1,5,3,6]=>[1,2,5,7,8,4,6,3]=>1100000=>0000011 [7,4,3,1,5,6,8,2]=>[2,5,6,8,4,3,1,7]=>0000000=>0000000 [6,7,3,2,5,1,4,8]=>[3,2,6,7,4,8,5,1]=>0000000=>0000000 [6,8,3,2,5,1,4,7]=>[3,1,6,7,4,8,5,2]=>0000000=>0000000 [8,5,6,1,3,2,4,7]=>[1,4,3,8,6,7,5,2]=>1000000=>0000001 [8,6,1,5,3,2,4,7]=>[1,3,8,4,6,7,5,2]=>1000000=>0000001 [8,6,3,1,5,2,4,7]=>[1,3,6,8,4,7,5,2]=>1000000=>0000001 [8,4,6,1,5,2,3,7]=>[1,5,3,8,4,7,6,2]=>1000000=>0000001 [8,1,7,4,3,2,6,5]=>[1,8,2,5,6,7,3,4]=>1000000=>0000001 [8,1,5,7,3,2,6,4]=>[1,8,4,2,6,7,3,5]=>1000000=>0000001 [5,8,1,6,7,2,3,4]=>[4,1,8,3,2,7,6,5]=>0000000=>0000000 [8,4,5,1,7,2,3,6]=>[1,5,4,8,2,7,6,3]=>1000000=>0000001 [7,3,1,8,5,6,2,4]=>[2,6,8,1,4,3,7,5]=>0000000=>0000000 [8,2,3,6,7,1,5,4]=>[1,7,6,3,2,8,4,5]=>1000000=>0000001 [8,7,5,2,3,1,6,4]=>[1,2,4,7,6,8,3,5]=>1100000=>0000011 [6,8,5,2,3,4,7,1]=>[3,1,4,7,6,5,2,8]=>0000001=>1000000 [3,5,7,2,8,6,1,4]=>[6,4,2,7,1,3,8,5]=>0000000=>0000000 [2,6,4,8,7,5,1,3]=>[7,3,5,1,2,4,8,6]=>0000000=>0000000 [6,2,4,8,7,5,1,3]=>[3,7,5,1,2,4,8,6]=>0000000=>0000000 [2,3,5,7,6,1,8,4]=>[7,6,4,2,3,8,1,5]=>0000000=>0000000 [2,5,1,4,7,3,8,6]=>[7,4,8,5,2,6,1,3]=>0000000=>0000000 [7,3,4,1,8,6,5,2]=>[2,6,5,8,1,3,4,7]=>0000000=>0000000 [4,5,2,6,1,8,7,3]=>[5,4,7,3,8,1,2,6]=>0000000=>0000000 [1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>0000000=>0000000 [3,6,2,5,1,4,8,7]=>[6,3,7,4,8,5,1,2]=>0000000=>0000000 [5,2,8,4,1,3,7,6]=>[4,7,1,5,8,6,2,3]=>0000000=>0000000 [7,5,1,2,8,6,4,3]=>[2,4,8,7,1,3,5,6]=>0000000=>0000000 [1,6,2,3,8,7,5,4]=>[8,3,7,6,1,2,4,5]=>0000000=>0000000 [1,5,2,3,8,7,6,4]=>[8,4,7,6,1,2,3,5]=>0000000=>0000000 [6,4,1,2,8,7,5,3]=>[3,5,8,7,1,2,4,6]=>0000000=>0000000 [4,1,2,8,3,7,6,5]=>[5,8,7,1,6,2,3,4]=>0000000=>0000000 [2,1,7,8,4,6,3,5]=>[7,8,2,1,5,3,6,4]=>0000000=>0000000 [3,5,8,7,2,6,4,1]=>[6,4,1,2,7,3,5,8]=>0000001=>1000000 [5,8,2,7,1,6,4,3]=>[4,1,7,2,8,3,5,6]=>0000000=>0000000 [2,1,6,4,5,8,3,7]=>[7,8,3,5,4,1,6,2]=>0000000=>0000000 [8,6,3,7,5,2,1,4]=>[1,3,6,2,4,7,8,5]=>1000000=>0000001 [4,6,3,8,5,2,1,7]=>[5,3,6,1,4,7,8,2]=>0000000=>0000000 [4,6,3,7,5,2,8,1]=>[5,3,6,2,4,7,1,8]=>0000001=>1000000 [3,5,7,8,2,6,1,4]=>[6,4,2,1,7,3,8,5]=>0000000=>0000000 [5,6,2,4,1,3,8,7]=>[4,3,7,5,8,6,1,2]=>0000000=>0000000 [7,6,3,8,5,2,4,1]=>[2,3,6,1,4,7,5,8]=>0000001=>1000000 [8,2,3,4,6,1,5,7]=>[1,7,6,5,3,8,4,2]=>1000000=>0000001 [7,2,3,4,6,1,8,5]=>[2,7,6,5,3,8,1,4]=>0000000=>0000000 [8,2,3,4,7,5,1,6]=>[1,7,6,5,2,4,8,3]=>1000000=>0000001 [7,8,3,6,5,1,4,2]=>[2,1,6,3,4,8,5,7]=>0100000=>0000010 [4,2,3,6,1,5,8,7]=>[5,7,6,3,8,4,1,2]=>0000000=>0000000 [4,8,3,7,5,1,6,2]=>[5,1,6,2,4,8,3,7]=>0000000=>0000000 [8,2,3,4,7,1,6,5]=>[1,7,6,5,2,8,3,4]=>1000000=>0000001 [3,8,6,4,5,1,2,7]=>[6,1,3,5,4,8,7,2]=>0000000=>0000000 [4,7,3,6,5,8,2,1]=>[5,2,6,3,4,1,7,8]=>0000011=>1100000 [4,8,3,7,5,2,1,6]=>[5,1,6,2,4,7,8,3]=>0000000=>0000000 [8,7,3,6,5,1,2,4]=>[1,2,6,3,4,8,7,5]=>1100000=>0000011 [8,2,7,5,1,6,3,4]=>[1,7,2,4,8,3,6,5]=>1000000=>0000001 [5,8,1,7,3,6,4,2]=>[4,1,8,2,6,3,5,7]=>0000000=>0000000 [5,2,7,8,4,6,3,1]=>[4,7,2,1,5,3,6,8]=>0000001=>1000000 [5,2,8,3,7,6,1,4]=>[4,7,1,6,2,3,8,5]=>0000000=>0000000 [8,2,7,3,1,6,4,5]=>[1,7,2,6,8,3,5,4]=>1000000=>0000001 [6,8,3,2,5,7,1,4]=>[3,1,6,7,4,2,8,5]=>0000000=>0000000 [6,7,3,8,5,4,2,1]=>[3,2,6,1,4,5,7,8]=>0000011=>1100000 [6,2,3,4,7,5,8,1]=>[3,7,6,5,2,4,1,8]=>0000001=>1000000 [8,2,3,4,1,7,5,6]=>[1,7,6,5,8,2,4,3]=>1000000=>0000001 [6,2,3,4,1,8,5,7]=>[3,7,6,5,8,1,4,2]=>0000000=>0000000 [6,2,3,4,8,7,5,1]=>[3,7,6,5,1,2,4,8]=>0000001=>1000000 [6,8,3,1,5,7,4,2]=>[3,1,6,8,4,2,5,7]=>0000000=>0000000 [8,6,7,4,1,5,3,2]=>[1,3,2,5,8,4,6,7]=>1010000=>0000101 [4,8,6,7,5,1,3,2]=>[5,1,3,2,4,8,6,7]=>0000100=>0010000 [7,1,8,4,6,5,2,3]=>[2,8,1,5,3,4,7,6]=>0000000=>0000000 [8,7,1,5,4,6,2,3]=>[1,2,8,4,5,3,7,6]=>1100000=>0000011 [8,5,7,1,4,6,3,2]=>[1,4,2,8,5,3,6,7]=>1000000=>0000001 [6,4,8,5,1,7,3,2]=>[3,5,1,4,8,2,6,7]=>0000000=>0000000 [8,7,5,1,4,6,2,3]=>[1,2,4,8,5,3,7,6]=>1100000=>0000011 [8,7,2,5,1,4,6,3]=>[1,2,7,4,8,5,3,6]=>1100000=>0000011 [4,8,7,2,5,1,6,3]=>[5,1,2,7,4,8,3,6]=>0000000=>0000000 [8,7,1,4,2,5,6,3]=>[1,2,8,5,7,4,3,6]=>1100000=>0000011 [8,7,5,1,2,4,6,3]=>[1,2,4,8,7,5,3,6]=>1100000=>0000011 [7,1,8,5,6,2,3,4]=>[2,8,1,4,3,7,6,5]=>0000000=>0000000 [3,5,8,7,1,2,6,4]=>[6,4,1,2,8,7,3,5]=>0000000=>0000000 [2,3,8,5,7,1,6,4]=>[7,6,1,4,2,8,3,5]=>0000000=>0000000 [3,8,7,1,5,6,2,4]=>[6,1,2,8,4,3,7,5]=>0000000=>0000000 [3,5,8,7,1,6,2,4]=>[6,4,1,2,8,3,7,5]=>0000000=>0000000 [2,3,8,6,7,5,1,4]=>[7,6,1,3,2,4,8,5]=>0000000=>0000000 [3,2,8,6,7,5,1,4]=>[6,7,1,3,2,4,8,5]=>0000000=>0000000 [4,1,8,6,2,7,5,3]=>[5,8,1,3,7,2,4,6]=>0000000=>0000000 [8,7,4,1,2,6,5,3]=>[1,2,5,8,7,3,4,6]=>1100000=>0000011 [1,3,8,6,7,5,2,4]=>[8,6,1,3,2,4,7,5]=>0000000=>0000000 [5,7,1,8,2,6,3,4]=>[4,2,8,1,7,3,6,5]=>0000000=>0000000 [2,8,7,1,5,6,3,4]=>[7,1,2,8,4,3,6,5]=>0000000=>0000000 [8,7,1,5,2,4,6,3]=>[1,2,8,4,7,5,3,6]=>1100000=>0000011 [7,1,8,2,4,6,5,3]=>[2,8,1,7,5,3,4,6]=>0000000=>0000000 [1,6,2,8,4,7,5,3]=>[8,3,7,1,5,2,4,6]=>0000000=>0000000 [1,3,8,5,7,2,6,4]=>[8,6,1,4,2,7,3,5]=>0000000=>0000000 [1,8,3,7,2,5,6,4]=>[8,1,6,2,7,4,3,5]=>0000000=>0000000 [2,8,7,1,3,5,6,4]=>[7,1,2,8,6,4,3,5]=>0000000=>0000000 [5,7,1,8,2,3,6,4]=>[4,2,8,1,7,6,3,5]=>0000000=>0000000 [7,1,8,2,3,5,6,4]=>[2,8,1,7,6,4,3,5]=>0000000=>0000000 [8,6,3,7,4,1,5,2]=>[1,3,6,2,5,8,4,7]=>1000000=>0000001 [4,2,8,6,7,5,1,3]=>[5,7,1,3,2,4,8,6]=>0000000=>0000000 [8,4,2,7,5,6,1,3]=>[1,5,7,2,4,3,8,6]=>1000000=>0000001 [4,8,3,6,1,7,5,2]=>[5,1,6,3,8,2,4,7]=>0000000=>0000000 [8,3,4,7,5,1,6,2]=>[1,6,5,2,4,8,3,7]=>1000000=>0000001 [8,3,7,4,5,1,6,2]=>[1,6,2,5,4,8,3,7]=>1000000=>0000001 [8,7,4,2,5,6,1,3]=>[1,2,5,7,4,3,8,6]=>1100000=>0000011 [8,7,5,1,6,2,3,4]=>[1,2,4,8,3,7,6,5]=>1100000=>0000011 [8,7,2,4,1,5,6,3]=>[1,2,7,5,8,4,3,6]=>1100000=>0000011 [4,8,6,1,7,2,5,3]=>[5,1,3,8,2,7,4,6]=>0000000=>0000000 [4,2,8,6,7,1,5,3]=>[5,7,1,3,2,8,4,6]=>0000000=>0000000 [8,7,4,1,2,5,6,3]=>[1,2,5,8,7,4,3,6]=>1100000=>0000011 [8,2,7,1,6,3,4,5]=>[1,7,2,8,3,6,5,4]=>1000000=>0000001 [8,2,7,1,3,6,4,5]=>[1,7,2,8,6,3,5,4]=>1000000=>0000001 [2,8,3,6,7,1,5,4]=>[7,1,6,3,2,8,4,5]=>0000000=>0000000 [8,7,2,1,3,5,6,4]=>[1,2,7,8,6,4,3,5]=>1100000=>0000011 [1,8,7,2,3,6,4,5]=>[8,1,2,7,6,3,5,4]=>0000000=>0000000 [1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>0000000=>0000000 [8,2,7,3,6,1,4,5]=>[1,7,2,6,3,8,5,4]=>1000000=>0000001 [1,8,7,3,6,2,4,5]=>[8,1,2,6,3,7,5,4]=>0000000=>0000000 [1,8,2,7,6,3,4,5]=>[8,1,7,2,3,6,5,4]=>0000000=>0000000 [8,2,7,4,1,5,6,3]=>[1,7,2,5,8,4,3,6]=>1000000=>0000001 [8,2,1,7,5,6,3,4]=>[1,7,8,2,4,3,6,5]=>1000000=>0000001 [8,7,3,1,5,6,2,4]=>[1,2,6,8,4,3,7,5]=>1100000=>0000011 [2,8,7,3,5,6,1,4]=>[7,1,2,6,4,3,8,5]=>0000000=>0000000 [8,3,1,6,7,5,2,4]=>[1,6,8,3,2,4,7,5]=>1000000=>0000001 [8,5,2,1,6,7,4,3]=>[1,4,7,8,3,2,5,6]=>1000000=>0000001 [1,5,2,8,6,7,4,3]=>[8,4,7,1,3,2,5,6]=>0000000=>0000000 [1,2,8,6,7,5,3,4]=>[8,7,1,3,2,4,6,5]=>0000000=>0000000 [1,8,3,6,7,5,2,4]=>[8,1,6,3,2,4,7,5]=>0000000=>0000000 [8,2,3,6,7,5,1,4]=>[1,7,6,3,2,4,8,5]=>1000000=>0000001 [8,3,7,2,5,6,1,4]=>[1,6,2,7,4,3,8,5]=>1000000=>0000001 [8,1,3,7,5,6,2,4]=>[1,8,6,2,4,3,7,5]=>1000000=>0000001 [8,4,1,2,7,5,6,3]=>[1,5,8,7,2,4,3,6]=>1000000=>0000001 [8,1,4,2,6,7,5,3]=>[1,8,5,7,3,2,4,6]=>1000000=>0000001 [1,2,8,6,7,3,5,4]=>[8,7,1,3,2,6,4,5]=>0000000=>0000000 [8,1,2,7,3,6,4,5]=>[1,8,7,2,6,3,5,4]=>1000000=>0000001 [8,1,7,3,6,2,4,5]=>[1,8,2,6,3,7,5,4]=>1000000=>0000001 [8,1,7,2,6,3,4,5]=>[1,8,2,7,3,6,5,4]=>1000000=>0000001 [8,1,7,2,3,6,4,5]=>[1,8,2,7,6,3,5,4]=>1000000=>0000001 [8,1,3,7,2,5,6,4]=>[1,8,6,2,7,4,3,5]=>1000000=>0000001 [1,8,3,6,7,2,5,4]=>[8,1,6,3,2,7,4,5]=>0000000=>0000000 [1,7,8,2,3,6,5,4]=>[8,2,1,7,6,3,4,5]=>0000000=>0000000 [8,3,7,1,2,5,6,4]=>[1,6,2,8,7,4,3,5]=>1000000=>0000001 [7,4,2,5,6,1,3,8]=>[2,5,7,4,3,8,6,1]=>0000000=>0000000 [7,3,5,6,4,2,1,8]=>[2,6,4,3,5,7,8,1]=>0000000=>0000000 [7,4,3,1,5,6,2,8]=>[2,5,6,8,4,3,7,1]=>0000000=>0000000 [7,4,5,2,6,1,3,8]=>[2,5,4,7,3,8,6,1]=>0000000=>0000000 [5,3,7,2,8,6,4,1]=>[4,6,2,7,1,3,5,8]=>0000001=>1000000 [5,3,8,2,6,7,4,1]=>[4,6,1,7,3,2,5,8]=>0000001=>1000000 [6,4,3,1,8,2,7,5]=>[3,5,6,8,1,7,2,4]=>0000000=>0000000 [5,3,7,8,2,6,4,1]=>[4,6,2,1,7,3,5,8]=>0000001=>1000000 [4,7,8,5,6,3,2,1]=>[5,2,1,4,3,6,7,8]=>0000111=>1110000 [5,3,7,6,8,2,4,1]=>[4,6,2,3,1,7,5,8]=>0000001=>1000000 [5,7,8,4,6,2,1,3]=>[4,2,1,5,3,7,8,6]=>0000100=>0010000 [5,8,6,4,7,2,1,3]=>[4,1,3,5,2,7,8,6]=>0000100=>0010000 [5,3,8,6,2,7,4,1]=>[4,6,1,3,7,2,5,8]=>0000001=>1000000 [4,7,5,8,6,3,2,1]=>[5,2,4,1,3,6,7,8]=>0000111=>1110000 [6,3,8,7,2,4,1,5]=>[3,6,1,2,7,5,8,4]=>0000000=>0000000 [5,3,8,7,2,6,4,1]=>[4,6,1,2,7,3,5,8]=>0000001=>1000000 [5,3,8,6,7,2,4,1]=>[4,6,1,3,2,7,5,8]=>0000001=>1000000 [5,3,7,8,6,2,4,1]=>[4,6,2,1,3,7,5,8]=>0000001=>1000000 [5,7,6,4,8,2,1,3]=>[4,2,3,5,1,7,8,6]=>0000100=>0010000 [5,8,4,6,7,2,1,3]=>[4,1,5,3,2,7,8,6]=>0000100=>0010000 [6,4,2,8,1,7,3,5]=>[3,5,7,1,8,2,6,4]=>0000000=>0000000 [6,5,2,4,3,7,8,1]=>[3,4,7,5,6,2,1,8]=>0000001=>1000000 [5,4,6,2,8,7,1,3]=>[4,5,3,7,1,2,8,6]=>0000000=>0000000 [5,6,3,8,7,2,4,1]=>[4,3,6,1,2,7,5,8]=>0000001=>1000000 [6,7,4,3,1,8,2,5]=>[3,2,5,6,8,1,7,4]=>0000000=>0000000 [5,7,4,3,6,8,1,2]=>[4,2,5,6,3,1,8,7]=>0000010=>0100000 [5,7,3,8,6,2,4,1]=>[4,2,6,1,3,7,5,8]=>0000001=>1000000 [4,5,8,6,7,3,2,1]=>[5,4,1,3,2,6,7,8]=>0000111=>1110000 [4,6,8,5,7,3,2,1]=>[5,3,1,4,2,6,7,8]=>0000111=>1110000 [5,6,8,3,7,2,4,1]=>[4,3,1,6,2,7,5,8]=>0000001=>1000000 [5,4,6,8,2,7,1,3]=>[4,5,3,1,7,2,8,6]=>0000000=>0000000 [6,7,1,3,2,5,4,8]=>[3,2,8,6,7,4,5,1]=>0000000=>0000000 [7,8,2,3,1,5,4,6]=>[2,1,7,6,8,4,5,3]=>0100000=>0000010 [7,8,2,4,3,5,1,6]=>[2,1,7,5,6,4,8,3]=>0100000=>0000010 [7,8,2,4,1,5,3,6]=>[2,1,7,5,8,4,6,3]=>0100000=>0000010 [2,5,1,6,4,7,3,8]=>[7,4,8,3,5,2,6,1]=>0000000=>0000000 [4,5,3,6,1,7,2,8]=>[5,4,6,3,8,2,7,1]=>0000000=>0000000 [6,7,5,8,1,3,2,4]=>[3,2,4,1,8,6,7,5]=>0001000=>0001000 [4,6,1,3,2,7,5,8]=>[5,3,8,6,7,2,4,1]=>0000000=>0000000 [3,5,4,6,1,7,2,8]=>[6,4,5,3,8,2,7,1]=>0000000=>0000000 [3,5,1,6,4,7,2,8]=>[6,4,8,3,5,2,7,1]=>0000000=>0000000 [1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>0000000=>0000000 [3,4,2,6,1,7,5,8]=>[6,5,7,3,8,2,4,1]=>0000000=>0000000 [4,6,2,3,1,7,5,8]=>[5,3,7,6,8,2,4,1]=>0000000=>0000000 [4,6,2,7,3,5,8,1]=>[5,3,7,2,6,4,1,8]=>0000001=>1000000 [3,6,2,7,5,4,8,1]=>[6,3,7,2,4,5,1,8]=>0000001=>1000000 [1,5,7,2,8,3,6,4]=>[8,4,2,7,1,6,3,5]=>0000000=>0000000 [5,2,6,7,1,8,4,3]=>[4,7,3,2,8,1,5,6]=>0000000=>0000000 [6,2,4,7,5,8,3,1]=>[3,7,5,2,4,1,6,8]=>0000001=>1000000 [3,4,6,8,5,7,2,1]=>[6,5,3,1,4,2,7,8]=>0000011=>1100000 [4,5,6,2,8,7,3,1]=>[5,4,3,7,1,2,6,8]=>0000001=>1000000 [4,5,6,1,8,7,3,2]=>[5,4,3,8,1,2,6,7]=>0000000=>0000000 [4,5,6,3,1,8,7,2]=>[5,4,3,6,8,1,2,7]=>0000000=>0000000 [4,3,6,2,1,7,5,8]=>[5,6,3,7,8,2,4,1]=>0000000=>0000000 [4,6,3,2,1,7,5,8]=>[5,3,6,7,8,2,4,1]=>0000000=>0000000 [4,6,3,1,7,5,2,8]=>[5,3,6,8,2,4,7,1]=>0000000=>0000000 [4,5,3,7,6,1,8,2]=>[5,4,6,2,3,8,1,7]=>0000000=>0000000 [4,5,1,7,3,8,6,2]=>[5,4,8,2,6,1,3,7]=>0000000=>0000000 [2,5,7,1,4,3,8,6]=>[7,4,2,8,5,6,1,3]=>0000000=>0000000 [4,3,5,7,6,1,8,2]=>[5,6,4,2,3,8,1,7]=>0000000=>0000000 [4,3,6,1,7,5,2,8]=>[5,6,3,8,2,4,7,1]=>0000000=>0000000 [4,3,2,6,1,7,5,8]=>[5,6,7,3,8,2,4,1]=>0000000=>0000000 [5,3,2,1,6,4,7,8]=>[4,6,7,8,3,5,2,1]=>0000000=>0000000 [5,3,1,6,2,7,4,8]=>[4,6,8,3,7,2,5,1]=>0000000=>0000000 [5,1,6,3,2,7,4,8]=>[4,8,3,6,7,2,5,1]=>0000000=>0000000 [2,6,1,4,7,5,3,8]=>[7,3,8,5,2,4,6,1]=>0000000=>0000000 [3,6,1,7,4,2,5,8]=>[6,3,8,2,5,7,4,1]=>0000000=>0000000 [4,6,1,7,5,3,2,8]=>[5,3,8,2,4,6,7,1]=>0000000=>0000000 [5,1,6,3,7,4,2,8]=>[4,8,3,6,2,5,7,1]=>0000000=>0000000 [5,3,6,4,2,1,7,8]=>[4,6,3,5,7,8,2,1]=>0000000=>0000000 [5,3,2,6,4,1,7,8]=>[4,6,7,3,5,8,2,1]=>0000000=>0000000 [5,2,1,6,3,7,4,8]=>[4,7,8,3,6,2,5,1]=>0000000=>0000000 [5,2,6,3,1,7,4,8]=>[4,7,3,6,8,2,5,1]=>0000000=>0000000 [4,2,6,3,1,7,8,5]=>[5,7,3,6,8,2,1,4]=>0000000=>0000000 [3,6,2,7,4,1,5,8]=>[6,3,7,2,5,8,4,1]=>0000000=>0000000 [3,5,7,2,8,6,4,1]=>[6,4,2,7,1,3,5,8]=>0000001=>1000000 [2,6,1,3,7,5,4,8]=>[7,3,8,6,2,4,5,1]=>0000000=>0000000 [3,6,1,7,5,2,4,8]=>[6,3,8,2,4,7,5,1]=>0000000=>0000000 [5,1,6,2,7,4,3,8]=>[4,8,3,7,2,5,6,1]=>0000000=>0000000 [5,2,6,4,3,1,7,8]=>[4,7,3,5,6,8,2,1]=>0000000=>0000000 [5,2,1,6,4,3,7,8]=>[4,7,8,3,5,6,2,1]=>0000000=>0000000 [5,4,2,1,6,3,7,8]=>[4,5,7,8,3,6,2,1]=>0000000=>0000000 [5,4,1,6,2,7,3,8]=>[4,5,8,3,7,2,6,1]=>0000000=>0000000 [5,1,6,4,2,7,3,8]=>[4,8,3,5,7,2,6,1]=>0000000=>0000000 [3,6,1,7,5,4,8,2]=>[6,3,8,2,4,5,1,7]=>0000000=>0000000 [2,6,1,5,4,3,7,8]=>[7,3,8,4,5,6,2,1]=>0000000=>0000000 [3,1,6,2,5,4,7,8]=>[6,8,3,7,4,5,2,1]=>0000000=>0000000 [4,1,6,3,2,7,8,5]=>[5,8,3,6,7,2,1,4]=>0000000=>0000000 [5,1,6,4,3,2,7,8]=>[4,8,3,5,6,7,2,1]=>0000000=>0000000 [5,4,1,6,3,2,7,8]=>[4,5,8,3,6,7,2,1]=>0000000=>0000000 [5,4,3,1,6,2,7,8]=>[4,5,6,8,3,7,2,1]=>0000000=>0000000 [4,5,1,8,7,6,2,3]=>[5,4,8,1,2,3,7,6]=>0000000=>0000000 [1,5,2,8,7,6,3,4]=>[8,4,7,1,2,3,6,5]=>0000000=>0000000 [5,1,2,8,7,6,3,4]=>[4,8,7,1,2,3,6,5]=>0000000=>0000000 [4,5,7,8,2,6,3,1]=>[5,4,2,1,7,3,6,8]=>0000001=>1000000 [6,1,8,4,7,3,5,2]=>[3,8,1,5,2,6,4,7]=>0000000=>0000000 [6,8,3,5,7,1,4,2]=>[3,1,6,4,2,8,5,7]=>0000000=>0000000 [6,7,4,2,8,5,3,1]=>[3,2,5,7,1,4,6,8]=>0000001=>1000000 [5,7,8,3,2,6,4,1]=>[4,2,1,6,7,3,5,8]=>0000001=>1000000 [5,6,8,3,2,7,4,1]=>[4,3,1,6,7,2,5,8]=>0000001=>1000000 [5,8,4,7,2,3,6,1]=>[4,1,5,2,7,6,3,8]=>0000001=>1000000 [6,3,4,7,8,5,2,1]=>[3,6,5,2,1,4,7,8]=>0000011=>1100000 [1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>0000000=>0000000 [1,2,5,8,3,6,4,7]=>[8,7,4,1,6,3,5,2]=>0000000=>0000000 [1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000=>0000000 [1,6,7,2,3,5,4,8]=>[8,3,2,7,6,4,5,1]=>0000000=>0000000 [1,4,5,7,6,2,3,8]=>[8,5,4,2,3,7,6,1]=>0000000=>0000000 [1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>0000000=>0000000 [1,2,5,7,3,6,8,4]=>[8,7,4,2,6,3,1,5]=>0000000=>0000000 [2,7,4,8,3,5,1,6]=>[7,2,5,1,6,4,8,3]=>0000000=>0000000 [2,7,4,8,3,5,6,1]=>[7,2,5,1,6,4,3,8]=>0000001=>1000000 [7,2,8,4,3,5,1,6]=>[2,7,1,5,6,4,8,3]=>0000000=>0000000 [8,4,2,1,5,3,6,7]=>[1,5,7,8,4,6,3,2]=>1000000=>0000001 [8,4,1,5,3,2,6,7]=>[1,5,8,4,6,7,3,2]=>1000000=>0000001 [6,7,3,8,4,2,5,1]=>[3,2,6,1,5,7,4,8]=>0000001=>1000000 [6,7,3,8,4,2,1,5]=>[3,2,6,1,5,7,8,4]=>0000000=>0000000 [7,1,8,4,3,5,2,6]=>[2,8,1,5,6,4,7,3]=>0000000=>0000000 [1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000=>0000000 [7,1,4,8,3,5,2,6]=>[2,8,5,1,6,4,7,3]=>0000000=>0000000 [7,1,8,4,3,5,6,2]=>[2,8,1,5,6,4,3,7]=>0000000=>0000000 [6,7,3,1,8,4,5,2]=>[3,2,6,8,1,5,4,7]=>0000000=>0000000 [6,7,1,4,8,3,5,2]=>[3,2,8,5,1,6,4,7]=>0000000=>0000000 [6,7,4,1,3,8,2,5]=>[3,2,5,8,6,1,7,4]=>0000000=>0000000 [1,6,7,8,4,3,2,5]=>[8,3,2,1,5,6,7,4]=>0000000=>0000000 [7,2,1,8,4,5,3,6]=>[2,7,8,1,5,4,6,3]=>0000000=>0000000 [6,2,7,1,8,4,3,5]=>[3,7,2,8,1,5,6,4]=>0000000=>0000000 [6,2,7,8,4,3,1,5]=>[3,7,2,1,5,6,8,4]=>0000000=>0000000 [6,2,7,8,4,3,5,1]=>[3,7,2,1,5,6,4,8]=>0000001=>1000000 [2,6,7,4,8,3,5,1]=>[7,3,2,5,1,6,4,8]=>0000001=>1000000 [2,6,7,4,8,3,1,5]=>[7,3,2,5,1,6,8,4]=>0000000=>0000000 [7,8,1,3,6,2,4,5]=>[2,1,8,6,3,7,5,4]=>0100000=>0000010 [1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000=>0000000 [2,6,7,1,8,5,3,4]=>[7,3,2,8,1,4,6,5]=>0000000=>0000000 [2,6,7,8,5,3,4,1]=>[7,3,2,1,4,6,5,8]=>0000001=>1000000 [6,2,7,8,4,5,3,1]=>[3,7,2,1,5,4,6,8]=>0000001=>1000000 [1,7,2,8,4,5,6,3]=>[8,2,7,1,5,4,3,6]=>0000000=>0000000 [6,3,7,8,1,5,2,4]=>[3,6,2,1,8,4,7,5]=>0000000=>0000000 [6,7,1,2,8,5,3,4]=>[3,2,8,7,1,4,6,5]=>0000000=>0000000 [1,6,7,8,4,2,5,3]=>[8,3,2,1,5,7,4,6]=>0000000=>0000000 [4,6,1,7,3,2,5,8]=>[5,3,8,2,6,7,4,1]=>0000000=>0000000 [4,6,1,8,3,2,5,7]=>[5,3,8,1,6,7,4,2]=>0000000=>0000000 [1,6,5,7,8,3,4,2]=>[8,3,4,2,1,6,5,7]=>0000000=>0000000 [4,1,8,7,6,2,3,5]=>[5,8,1,2,3,7,6,4]=>0000000=>0000000 [4,8,1,6,3,2,5,7]=>[5,1,8,3,6,7,4,2]=>0000000=>0000000 [6,8,1,5,3,7,2,4]=>[3,1,8,4,6,2,7,5]=>0000000=>0000000 [1,5,8,3,4,7,6,2]=>[8,4,1,6,5,2,3,7]=>0000000=>0000000 [3,1,2,6,7,5,8,4]=>[6,8,7,3,2,4,1,5]=>0000000=>0000000 [8,1,7,4,6,3,2,5]=>[1,8,2,5,3,6,7,4]=>1000000=>0000001 [8,1,7,6,5,3,2,4]=>[1,8,2,3,4,6,7,5]=>1000000=>0000001 [8,7,2,5,3,6,1,4]=>[1,2,7,4,6,3,8,5]=>1100000=>0000011 [7,1,2,3,5,4,8,6]=>[2,8,7,6,4,5,1,3]=>0000000=>0000000 [1,5,6,3,4,7,8,2]=>[8,4,3,6,5,2,1,7]=>0000000=>0000000 [6,7,3,5,1,4,8,2]=>[3,2,6,4,8,5,1,7]=>0000000=>0000000 [5,7,8,4,2,6,3,1]=>[4,2,1,5,7,3,6,8]=>0000001=>1000000 [5,4,7,6,2,8,3,1]=>[4,5,2,3,7,1,6,8]=>0000001=>1000000 [5,7,4,1,6,8,3,2]=>[4,2,5,8,3,1,6,7]=>0000000=>0000000 [6,8,4,5,7,1,3,2]=>[3,1,5,4,2,8,6,7]=>0000100=>0010000 [5,8,4,6,1,7,3,2]=>[4,1,5,3,8,2,6,7]=>0000000=>0000000 [5,6,1,4,7,8,3,2]=>[4,3,8,5,2,1,6,7]=>0000000=>0000000 [5,6,7,2,4,8,3,1]=>[4,3,2,7,5,1,6,8]=>0000001=>1000000 [5,3,6,7,4,8,2,1]=>[4,6,3,2,5,1,7,8]=>0000011=>1100000 [5,3,2,8,6,7,4,1]=>[4,6,7,1,3,2,5,8]=>0000001=>1000000 [5,4,8,2,6,7,3,1]=>[4,5,1,7,3,2,6,8]=>0000001=>1000000 [5,4,8,6,2,7,3,1]=>[4,5,1,3,7,2,6,8]=>0000001=>1000000 [6,4,8,5,7,2,3,1]=>[3,5,1,4,2,7,6,8]=>0000101=>1010000 [4,6,8,5,7,2,3,1]=>[5,3,1,4,2,7,6,8]=>0000101=>1010000 [5,6,3,8,4,7,2,1]=>[4,3,6,1,5,2,7,8]=>0000011=>1100000 [4,6,3,5,8,7,2,1]=>[5,3,6,4,1,2,7,8]=>0000011=>1100000 [4,6,3,2,8,7,5,1]=>[5,3,6,7,1,2,4,8]=>0000001=>1000000 [5,6,3,8,2,7,4,1]=>[4,3,6,1,7,2,5,8]=>0000001=>1000000 [3,6,5,8,7,2,4,1]=>[6,3,4,1,2,7,5,8]=>0000001=>1000000 [5,3,6,8,2,7,4,1]=>[4,6,3,1,7,2,5,8]=>0000001=>1000000 [4,3,7,2,8,6,5,1]=>[5,6,2,7,1,3,4,8]=>0000001=>1000000 [5,4,7,2,6,8,3,1]=>[4,5,2,7,3,1,6,8]=>0000001=>1000000 [5,3,2,7,6,8,4,1]=>[4,6,7,2,3,1,5,8]=>0000001=>1000000 [6,7,3,8,5,2,4,1]=>[3,2,6,1,4,7,5,8]=>0000001=>1000000 [6,3,2,7,5,4,8,1]=>[3,6,7,2,4,5,1,8]=>0000001=>1000000 [6,4,7,2,5,3,8,1]=>[3,5,2,7,4,6,1,8]=>0000001=>1000000 [6,2,7,5,1,4,8,3]=>[3,7,2,4,8,5,1,6]=>0000000=>0000000 [2,7,8,5,3,6,1,4]=>[7,2,1,4,6,3,8,5]=>0000000=>0000000 [3,5,7,8,4,6,2,1]=>[6,4,2,1,5,3,7,8]=>0000011=>1100000 [5,7,8,2,4,6,3,1]=>[4,2,1,7,5,3,6,8]=>0000001=>1000000 [2,6,8,4,7,3,5,1]=>[7,3,1,5,2,6,4,8]=>0000001=>1000000 [3,7,4,8,6,2,1,5]=>[6,2,5,1,3,7,8,4]=>0000000=>0000000 [3,6,4,8,7,2,5,1]=>[6,3,5,1,2,7,4,8]=>0000001=>1000000 [3,5,4,8,2,7,6,1]=>[6,4,5,1,7,2,3,8]=>0000001=>1000000 [4,5,7,3,8,6,2,1]=>[5,4,2,6,1,3,7,8]=>0000011=>1100000 [5,4,8,1,7,6,3,2]=>[4,5,1,8,2,3,6,7]=>0000000=>0000000 [1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>0000000=>0000000 [7,2,8,4,5,1,3,6]=>[2,7,1,5,4,8,6,3]=>0000000=>0000000 [1,3,7,5,6,2,4,8]=>[8,6,2,4,3,7,5,1]=>0000000=>0000000 [1,6,7,4,3,5,2,8]=>[8,3,2,5,6,4,7,1]=>0000000=>0000000 [1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>0000000=>0000000 [2,6,8,4,3,5,7,1]=>[7,3,1,5,6,4,2,8]=>0000001=>1000000 [7,2,8,4,1,5,6,3]=>[2,7,1,5,8,4,3,6]=>0000000=>0000000 [7,5,8,1,2,6,3,4]=>[2,4,1,8,7,3,6,5]=>0000000=>0000000 [1,5,2,6,4,7,8,3]=>[8,4,7,3,5,2,1,6]=>0000000=>0000000 [1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>0000000=>0000000 [6,2,5,7,1,4,8,3]=>[3,7,4,2,8,5,1,6]=>0000000=>0000000 [6,5,4,3,8,1,7,2]=>[3,4,5,6,1,8,2,7]=>0000000=>0000000 [2,6,5,8,3,4,1,7]=>[7,3,4,1,6,5,8,2]=>0000000=>0000000 [2,6,5,7,3,4,1,8]=>[7,3,4,2,6,5,8,1]=>0000000=>0000000 [6,2,5,7,4,1,3,8]=>[3,7,4,2,5,8,6,1]=>0000000=>0000000 [6,2,5,8,4,1,3,7]=>[3,7,4,1,5,8,6,2]=>0000000=>0000000 [2,7,8,4,6,1,3,5]=>[7,2,1,5,3,8,6,4]=>0000000=>0000000 [6,1,2,8,5,4,7,3]=>[3,8,7,1,4,5,2,6]=>0000000=>0000000 [6,2,5,7,8,1,3,4]=>[3,7,4,2,1,8,6,5]=>0000000=>0000000 [1,5,4,2,6,7,3,8]=>[8,4,5,7,3,2,6,1]=>0000000=>0000000 [2,6,5,7,3,8,1,4]=>[7,3,4,2,6,1,8,5]=>0000000=>0000000 [1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000=>0000000 [1,3,2,7,8,5,6,4]=>[8,6,7,2,1,4,3,5]=>0000000=>0000000 [1,6,2,4,8,7,3,5]=>[8,3,7,5,1,2,6,4]=>0000000=>0000000 [6,5,2,1,8,7,3,4]=>[3,4,7,8,1,2,6,5]=>0000000=>0000000 [2,6,5,3,7,8,4,1]=>[7,3,4,6,2,1,5,8]=>0000001=>1000000 [6,5,2,3,8,7,1,4]=>[3,4,7,6,1,2,8,5]=>0000000=>0000000 [5,1,4,2,3,7,8,6]=>[4,8,5,7,6,2,1,3]=>0000000=>0000000 [1,5,4,2,6,3,8,7]=>[8,4,5,7,3,6,1,2]=>0000000=>0000000 [5,1,6,3,8,2,7,4]=>[4,8,3,6,1,7,2,5]=>0000000=>0000000 [6,5,8,7,4,3,1,2]=>[3,4,1,2,5,6,8,7]=>0001110=>0111000 [6,4,2,7,8,5,1,3]=>[3,5,7,2,1,4,8,6]=>0000000=>0000000 [6,1,4,8,7,5,2,3]=>[3,8,5,1,2,4,7,6]=>0000000=>0000000 [1,6,4,8,7,5,2,3]=>[8,3,5,1,2,4,7,6]=>0000000=>0000000 [1,8,6,2,4,7,3,5]=>[8,1,3,7,5,2,6,4]=>0000000=>0000000 [8,1,6,2,4,7,3,5]=>[1,8,3,7,5,2,6,4]=>1000000=>0000001 [6,4,1,7,8,5,2,3]=>[3,5,8,2,1,4,7,6]=>0000000=>0000000 [7,6,1,2,4,8,3,5]=>[2,3,8,7,5,1,6,4]=>0000000=>0000000 [1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>0000000=>0000000 [1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>0000000=>0000000 [7,1,2,5,4,8,3,6]=>[2,8,7,4,5,1,6,3]=>0000000=>0000000 [2,7,1,5,4,8,3,6]=>[7,2,8,4,5,1,6,3]=>0000000=>0000000 [2,8,6,1,4,7,3,5]=>[7,1,3,8,5,2,6,4]=>0000000=>0000000 [7,2,1,5,4,8,3,6]=>[2,7,8,4,5,1,6,3]=>0000000=>0000000 [1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>0000000=>0000000 [3,2,7,5,4,8,1,6]=>[6,7,2,4,5,1,8,3]=>0000000=>0000000 [2,5,8,4,7,3,1,6]=>[7,4,1,5,2,6,8,3]=>0000000=>0000000 [2,3,7,5,4,8,1,6]=>[7,6,2,4,5,1,8,3]=>0000000=>0000000 [6,8,3,2,4,7,1,5]=>[3,1,6,7,5,2,8,4]=>0000000=>0000000 [3,7,2,5,4,8,1,6]=>[6,2,7,4,5,1,8,3]=>0000000=>0000000 [3,1,7,5,4,8,2,6]=>[6,8,2,4,5,1,7,3]=>0000000=>0000000 [1,3,7,5,4,8,2,6]=>[8,6,2,4,5,1,7,3]=>0000000=>0000000 [1,5,8,4,7,3,2,6]=>[8,4,1,5,2,6,7,3]=>0000000=>0000000 [5,1,8,4,7,3,2,6]=>[4,8,1,5,2,6,7,3]=>0000000=>0000000 [5,8,2,4,7,3,1,6]=>[4,1,7,5,2,6,8,3]=>0000000=>0000000 [6,8,4,3,7,5,1,2]=>[3,1,5,6,2,4,8,7]=>0000010=>0100000 [8,5,2,4,7,3,1,6]=>[1,4,7,5,2,6,8,3]=>1000000=>0000001 [8,1,5,4,7,3,2,6]=>[1,8,4,5,2,6,7,3]=>1000000=>0000001 [1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>0000000=>0000000 [1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>0000000=>0000000 [8,6,3,1,4,7,2,5]=>[1,3,6,8,5,2,7,4]=>1000000=>0000001 [8,6,4,1,7,2,5,3]=>[1,3,5,8,2,7,4,6]=>1000000=>0000001 [5,3,7,4,6,8,2,1]=>[4,6,2,5,3,1,7,8]=>0000011=>1100000 [4,1,3,2,7,8,5,6]=>[5,8,6,7,2,1,4,3]=>0000000=>0000000 [1,4,3,2,7,8,5,6]=>[8,5,6,7,2,1,4,3]=>0000000=>0000000 [2,4,3,1,7,8,5,6]=>[7,5,6,8,2,1,4,3]=>0000000=>0000000 [2,7,3,5,4,8,1,6]=>[7,2,6,4,5,1,8,3]=>0000000=>0000000 [2,8,5,4,7,3,1,6]=>[7,1,4,5,2,6,8,3]=>0000000=>0000000 [5,7,3,4,6,8,2,1]=>[4,2,6,5,3,1,7,8]=>0000011=>1100000 [8,2,5,4,7,3,1,6]=>[1,7,4,5,2,6,8,3]=>1000000=>0000001 [7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>0000000=>0000000 [3,2,1,4,7,8,5,6]=>[6,7,8,5,2,1,4,3]=>0000000=>0000000 [8,1,7,6,4,3,5,2]=>[1,8,2,3,5,6,4,7]=>1000000=>0000001 [8,6,4,5,2,7,1,3]=>[1,3,5,4,7,2,8,6]=>1000000=>0000001 [7,1,8,6,4,3,5,2]=>[2,8,1,3,5,6,4,7]=>0000000=>0000000 [7,4,2,5,1,6,3,8]=>[2,5,7,4,8,3,6,1]=>0000000=>0000000 [7,3,6,5,2,1,4,8]=>[2,6,3,4,7,8,5,1]=>0000000=>0000000 [8,3,6,5,2,1,7,4]=>[1,6,3,4,7,8,2,5]=>1000000=>0000001 [7,3,6,5,2,1,8,4]=>[2,6,3,4,7,8,1,5]=>0000000=>0000000 [5,4,2,8,1,3,7,6]=>[4,5,7,1,8,6,2,3]=>0000000=>0000000 [5,8,2,6,4,1,3,7]=>[4,1,7,3,5,8,6,2]=>0000000=>0000000 [6,4,2,5,1,8,3,7]=>[3,5,7,4,8,1,6,2]=>0000000=>0000000 [6,3,5,2,1,4,7,8]=>[3,6,4,7,8,5,2,1]=>0000000=>0000000 [2,3,5,8,1,4,7,6]=>[7,6,4,1,8,5,2,3]=>0000000=>0000000 [2,3,6,8,1,5,7,4]=>[7,6,3,1,8,4,2,5]=>0000000=>0000000 [6,3,8,5,2,7,1,4]=>[3,6,1,4,7,2,8,5]=>0000000=>0000000 [6,3,7,5,2,1,4,8]=>[3,6,2,4,7,8,5,1]=>0000000=>0000000 [2,5,7,6,3,1,4,8]=>[7,4,2,3,6,8,5,1]=>0000000=>0000000 [2,8,7,6,3,1,5,4]=>[7,1,2,3,6,8,4,5]=>0000000=>0000000 [2,5,8,7,6,3,1,4]=>[7,4,1,2,3,6,8,5]=>0000000=>0000000 [2,4,8,1,6,5,7,3]=>[7,5,1,8,3,4,2,6]=>0000000=>0000000 [2,8,7,3,6,1,4,5]=>[7,1,2,6,3,8,5,4]=>0000000=>0000000 [8,4,2,5,1,3,7,6]=>[1,5,7,4,8,6,2,3]=>1000000=>0000001 [2,3,6,8,1,4,7,5]=>[7,6,3,1,8,5,2,4]=>0000000=>0000000 [2,7,8,6,3,1,4,5]=>[7,2,1,3,6,8,5,4]=>0000000=>0000000 [2,8,6,3,1,4,5,7]=>[7,1,3,6,8,5,4,2]=>0000000=>0000000 [8,3,5,2,1,4,6,7]=>[1,6,4,7,8,5,3,2]=>1000000=>0000001 [2,5,8,1,7,3,6,4]=>[7,4,1,8,2,6,3,5]=>0000000=>0000000 [2,8,1,5,7,3,6,4]=>[7,1,8,4,2,6,3,5]=>0000000=>0000000 [2,6,8,1,5,7,3,4]=>[7,3,1,8,4,2,6,5]=>0000000=>0000000 [2,7,1,5,8,3,4,6]=>[7,2,8,4,1,6,5,3]=>0000000=>0000000 [2,7,1,6,3,8,4,5]=>[7,2,8,3,6,1,5,4]=>0000000=>0000000 [4,7,6,1,8,5,2,3]=>[5,2,3,8,1,4,7,6]=>0000000=>0000000 [3,7,5,8,1,2,6,4]=>[6,2,4,1,8,7,3,5]=>0000000=>0000000 [7,3,6,1,2,8,4,5]=>[2,6,3,8,7,1,5,4]=>0000000=>0000000 [7,4,8,1,6,5,2,3]=>[2,5,1,8,3,4,7,6]=>0000000=>0000000 [7,4,6,1,8,2,5,3]=>[2,5,3,8,1,7,4,6]=>0000000=>0000000 [6,8,4,5,1,7,2,3]=>[3,1,5,4,8,2,7,6]=>0000000=>0000000 [4,6,8,5,1,7,2,3]=>[5,3,1,4,8,2,7,6]=>0000000=>0000000 [5,1,7,6,2,3,8,4]=>[4,8,2,3,7,6,1,5]=>0000000=>0000000 [5,1,7,6,2,8,3,4]=>[4,8,2,3,7,1,6,5]=>0000000=>0000000 [5,1,8,7,6,2,3,4]=>[4,8,1,2,3,7,6,5]=>0000000=>0000000 [8,5,1,7,6,2,3,4]=>[1,4,8,2,3,7,6,5]=>1000000=>0000001 [8,5,1,6,2,7,3,4]=>[1,4,8,3,7,2,6,5]=>1000000=>0000001 [3,6,1,8,4,7,5,2]=>[6,3,8,1,5,2,4,7]=>0000000=>0000000 [4,6,1,8,7,5,2,3]=>[5,3,8,1,2,4,7,6]=>0000000=>0000000 [8,4,6,1,7,5,2,3]=>[1,5,3,8,2,4,7,6]=>1000000=>0000001 [4,8,5,1,7,2,3,6]=>[5,1,4,8,2,7,6,3]=>0000000=>0000000 [3,4,8,7,1,2,5,6]=>[6,5,1,2,8,7,4,3]=>0000000=>0000000 [5,8,4,1,7,2,3,6]=>[4,1,5,8,2,7,6,3]=>0000000=>0000000 [8,6,4,7,1,2,5,3]=>[1,3,5,2,8,7,4,6]=>1000000=>0000001 [6,4,8,7,1,2,5,3]=>[3,5,1,2,8,7,4,6]=>0000000=>0000000 [5,6,8,3,7,1,4,2]=>[4,3,1,6,2,8,5,7]=>0000000=>0000000 [6,4,7,1,2,8,5,3]=>[3,5,2,8,7,1,4,6]=>0000000=>0000000 [6,5,1,8,2,7,3,4]=>[3,4,8,1,7,2,6,5]=>0000000=>0000000 [8,6,5,1,2,7,3,4]=>[1,3,4,8,7,2,6,5]=>1000000=>0000001 [8,6,5,1,7,2,3,4]=>[1,3,4,8,2,7,6,5]=>1000000=>0000001 [6,5,1,8,7,2,3,4]=>[3,4,8,1,2,7,6,5]=>0000000=>0000000 [6,5,1,7,2,8,3,4]=>[3,4,8,2,7,1,6,5]=>0000000=>0000000 [6,5,1,7,2,3,8,4]=>[3,4,8,2,7,6,1,5]=>0000000=>0000000 [5,7,4,1,8,2,3,6]=>[4,2,5,8,1,7,6,3]=>0000000=>0000000 [5,6,8,7,4,1,2,3]=>[4,3,1,2,5,8,7,6]=>0001100=>0011000 [6,8,5,7,4,1,2,3]=>[3,1,4,2,5,8,7,6]=>0001100=>0011000 [6,8,4,2,1,5,3,7]=>[3,1,5,7,8,4,6,2]=>0000000=>0000000 [6,8,4,2,1,5,7,3]=>[3,1,5,7,8,4,2,6]=>0000000=>0000000 [6,4,3,1,7,5,8,2]=>[3,5,6,8,2,4,1,7]=>0000000=>0000000 [4,2,1,8,5,7,3,6]=>[5,7,8,1,4,2,6,3]=>0000000=>0000000 [5,3,2,7,6,1,4,8]=>[4,6,7,2,3,8,5,1]=>0000000=>0000000 [4,3,8,7,2,1,5,6]=>[5,6,1,2,7,8,4,3]=>0000000=>0000000 [4,3,1,6,2,7,5,8]=>[5,6,8,3,7,2,4,1]=>0000000=>0000000 [6,5,3,1,7,8,4,2]=>[3,4,6,8,2,1,5,7]=>0000000=>0000000 [6,4,2,1,7,8,3,5]=>[3,5,7,8,2,1,6,4]=>0000000=>0000000 [6,4,2,1,7,8,5,3]=>[3,5,7,8,2,1,4,6]=>0000000=>0000000 [4,3,2,6,1,7,8,5]=>[5,6,7,3,8,2,1,4]=>0000000=>0000000 [5,3,2,1,6,7,8,4]=>[4,6,7,8,3,2,1,5]=>0000000=>0000000 [8,6,1,4,5,7,2,3]=>[1,3,8,5,4,2,7,6]=>1000000=>0000001 [5,2,8,3,7,4,6,1]=>[4,7,1,6,2,5,3,8]=>0000001=>1000000 [6,2,8,5,4,7,3,1]=>[3,7,1,4,5,2,6,8]=>0000001=>1000000 [6,5,3,8,4,7,2,1]=>[3,4,6,1,5,2,7,8]=>0000011=>1100000 [6,4,3,8,1,2,7,5]=>[3,5,6,1,8,7,2,4]=>0000000=>0000000 [8,7,6,1,3,5,2,4]=>[1,2,3,8,6,4,7,5]=>1110000=>0000111 [7,5,2,1,3,8,4,6]=>[2,4,7,8,6,1,5,3]=>0000000=>0000000 [8,4,7,6,3,1,5,2]=>[1,5,2,3,6,8,4,7]=>1000000=>0000001 [4,7,2,5,6,3,8,1]=>[5,2,7,4,3,6,1,8]=>0000001=>1000000 [8,6,2,5,7,1,4,3]=>[1,3,7,4,2,8,5,6]=>1000000=>0000001 [2,8,6,5,7,1,4,3]=>[7,1,3,4,2,8,5,6]=>0000000=>0000000 [5,1,3,2,7,8,4,6]=>[4,8,6,7,2,1,5,3]=>0000000=>0000000 [4,6,7,8,3,1,5,2]=>[5,3,2,1,6,8,4,7]=>0000000=>0000000 [6,3,8,4,2,1,7,5]=>[3,6,1,5,7,8,2,4]=>0000000=>0000000 [5,1,8,3,4,6,7,2]=>[4,8,1,6,5,3,2,7]=>0000000=>0000000 [4,8,7,2,1,6,3,5]=>[5,1,2,7,8,3,6,4]=>0000000=>0000000 [2,5,1,8,4,7,3,6]=>[7,4,8,1,5,2,6,3]=>0000000=>0000000 [2,5,4,8,1,3,7,6]=>[7,4,5,1,8,6,2,3]=>0000000=>0000000 [1,7,3,5,8,2,6,4]=>[8,2,6,4,1,7,3,5]=>0000000=>0000000 [1,8,4,2,6,7,3,5]=>[8,1,5,7,3,2,6,4]=>0000000=>0000000 [2,6,1,7,3,5,8,4]=>[7,3,8,2,6,4,1,5]=>0000000=>0000000 [7,3,1,2,4,6,8,5]=>[2,6,8,7,5,3,1,4]=>0000000=>0000000 [1,8,3,4,7,2,5,6]=>[8,1,6,5,2,7,4,3]=>0000000=>0000000 [5,1,7,8,4,2,6,3]=>[4,8,2,1,5,7,3,6]=>0000000=>0000000 [5,1,8,7,4,2,6,3]=>[4,8,1,2,5,7,3,6]=>0000000=>0000000 [4,7,2,8,3,6,5,1]=>[5,2,7,1,6,3,4,8]=>0000001=>1000000 [4,1,7,8,5,3,6,2]=>[5,8,2,1,4,6,3,7]=>0000000=>0000000 [5,1,7,4,8,3,6,2]=>[4,8,2,5,1,6,3,7]=>0000000=>0000000 [4,1,8,7,5,3,6,2]=>[5,8,1,2,4,6,3,7]=>0000000=>0000000 [4,8,2,7,3,6,5,1]=>[5,1,7,2,6,3,4,8]=>0000001=>1000000 [4,7,2,6,3,5,8,1]=>[5,2,7,3,6,4,1,8]=>0000001=>1000000 [6,8,2,4,3,7,5,1]=>[3,1,7,5,6,2,4,8]=>0000001=>1000000 [6,7,2,4,3,8,5,1]=>[3,2,7,5,6,1,4,8]=>0000001=>1000000 [3,8,7,2,4,1,5,6]=>[6,1,2,7,5,8,4,3]=>0000000=>0000000 [3,7,8,2,4,1,5,6]=>[6,2,1,7,5,8,4,3]=>0000000=>0000000 [3,6,8,2,4,5,7,1]=>[6,3,1,7,5,4,2,8]=>0000001=>1000000 [3,6,7,2,4,5,8,1]=>[6,3,2,7,5,4,1,8]=>0000001=>1000000 [1,7,5,3,8,2,4,6]=>[8,2,4,6,1,7,5,3]=>0000000=>0000000 [2,6,4,7,8,3,5,1]=>[7,3,5,2,1,6,4,8]=>0000001=>1000000 [4,3,6,7,1,8,2,5]=>[5,6,3,2,8,1,7,4]=>0000000=>0000000 [1,3,6,4,7,2,8,5]=>[8,6,3,5,2,7,1,4]=>0000000=>0000000 [6,3,2,1,7,8,5,4]=>[3,6,7,8,2,1,4,5]=>0000000=>0000000 [3,8,4,7,1,2,5,6]=>[6,1,5,2,8,7,4,3]=>0000000=>0000000 [4,8,6,1,5,3,2,7]=>[5,1,3,8,4,6,7,2]=>0000000=>0000000 [5,8,6,4,1,3,2,7]=>[4,1,3,5,8,6,7,2]=>0000000=>0000000 [2,3,8,7,1,6,4,5]=>[7,6,1,2,8,3,5,4]=>0000000=>0000000 [4,3,7,8,1,6,2,5]=>[5,6,2,1,8,3,7,4]=>0000000=>0000000 [4,8,1,2,7,3,5,6]=>[5,1,8,7,2,6,4,3]=>0000000=>0000000 [5,7,1,8,4,6,2,3]=>[4,2,8,1,5,3,7,6]=>0000000=>0000000 [3,7,6,8,5,1,2,4]=>[6,2,3,1,4,8,7,5]=>0000000=>0000000 [2,6,7,8,5,1,3,4]=>[7,3,2,1,4,8,6,5]=>0000000=>0000000 [6,8,3,4,1,2,7,5]=>[3,1,6,5,8,7,2,4]=>0000000=>0000000 [7,5,3,2,8,6,1,4]=>[2,4,6,7,1,3,8,5]=>0000000=>0000000 [8,3,5,4,1,6,7,2]=>[1,6,4,5,8,3,2,7]=>1000000=>0000001 [5,1,6,4,3,2,8,7]=>[4,8,3,5,6,7,1,2]=>0000000=>0000000 [8,3,7,1,4,6,5,2]=>[1,6,2,8,5,3,4,7]=>1000000=>0000001 [1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>0000000=>0000000 [7,4,3,6,2,1,5,8]=>[2,5,6,3,7,8,4,1]=>0000000=>0000000 [2,8,3,1,4,5,6,7]=>[7,1,6,8,5,4,3,2]=>0000000=>0000000 [7,8,4,1,3,6,2,5]=>[2,1,5,8,6,3,7,4]=>0100000=>0000010 [5,3,6,1,8,2,4,7]=>[4,6,3,8,1,7,5,2]=>0000000=>0000000 [5,6,7,2,1,8,3,4]=>[4,3,2,7,8,1,6,5]=>0000000=>0000000 [5,6,1,7,8,2,4,3]=>[4,3,8,2,1,7,5,6]=>0000000=>0000000 [5,6,1,7,8,4,2,3]=>[4,3,8,2,1,5,7,6]=>0000000=>0000000 [4,8,6,1,7,5,3,2]=>[5,1,3,8,2,4,6,7]=>0000000=>0000000 [5,6,7,1,8,3,2,4]=>[4,3,2,8,1,6,7,5]=>0000000=>0000000 [7,8,1,3,5,6,2,4]=>[2,1,8,6,4,3,7,5]=>0100000=>0000010 [1,5,7,8,3,4,6,2]=>[8,4,2,1,6,5,3,7]=>0000000=>0000000 [3,1,7,5,8,2,6,4]=>[6,8,2,4,1,7,3,5]=>0000000=>0000000 [3,5,7,8,1,4,6,2]=>[6,4,2,1,8,5,3,7]=>0000000=>0000000 [1,5,3,7,8,4,2,6]=>[8,4,6,2,1,5,7,3]=>0000000=>0000000 [3,6,2,1,4,5,8,7]=>[6,3,7,8,5,4,1,2]=>0000000=>0000000 [6,4,2,5,1,3,8,7]=>[3,5,7,4,8,6,1,2]=>0000000=>0000000 [5,2,8,1,7,3,4,6]=>[4,7,1,8,2,6,5,3]=>0000000=>0000000 [4,2,3,8,1,5,6,7]=>[5,7,6,1,8,4,3,2]=>0000000=>0000000 [2,1,5,8,4,3,6,7]=>[7,8,4,1,5,6,3,2]=>0000000=>0000000 [5,8,4,1,6,2,3,7]=>[4,1,5,8,3,7,6,2]=>0000000=>0000000 [4,8,5,1,6,2,3,7]=>[5,1,4,8,3,7,6,2]=>0000000=>0000000 [2,1,5,4,8,3,6,7]=>[7,8,4,5,1,6,3,2]=>0000000=>0000000 [2,4,3,8,1,5,6,7]=>[7,5,6,1,8,4,3,2]=>0000000=>0000000 [3,8,4,2,1,5,6,7]=>[6,1,5,7,8,4,3,2]=>0000000=>0000000 [2,3,8,4,1,5,6,7]=>[7,6,1,5,8,4,3,2]=>0000000=>0000000 [3,4,2,8,1,5,6,7]=>[6,5,7,1,8,4,3,2]=>0000000=>0000000 [2,1,4,8,5,3,6,7]=>[7,8,5,1,4,6,3,2]=>0000000=>0000000 [3,2,8,4,1,5,6,7]=>[6,7,1,5,8,4,3,2]=>0000000=>0000000 [2,8,4,3,1,5,6,7]=>[7,1,5,6,8,4,3,2]=>0000000=>0000000 [3,8,4,2,6,7,5,1]=>[6,1,5,7,3,2,4,8]=>0000001=>1000000 [3,8,4,1,6,7,5,2]=>[6,1,5,8,3,2,4,7]=>0000000=>0000000 [2,6,7,5,3,8,4,1]=>[7,3,2,4,6,1,5,8]=>0000001=>1000000 [6,1,3,4,8,2,5,7]=>[3,8,6,5,1,7,4,2]=>0000000=>0000000 [6,2,3,4,8,1,5,7]=>[3,7,6,5,1,8,4,2]=>0000000=>0000000 [6,7,5,8,3,1,4,2]=>[3,2,4,1,6,8,5,7]=>0001000=>0001000 [2,6,7,5,1,3,8,4]=>[7,3,2,4,8,6,1,5]=>0000000=>0000000 [6,3,1,4,8,2,5,7]=>[3,6,8,5,1,7,4,2]=>0000000=>0000000 [6,7,4,8,1,3,2,5]=>[3,2,5,1,8,6,7,4]=>0000000=>0000000 [6,7,4,8,2,1,3,5]=>[3,2,5,1,7,8,6,4]=>0000000=>0000000 [7,8,3,2,6,1,4,5]=>[2,1,6,7,3,8,5,4]=>0100000=>0000010 [3,4,8,2,6,1,7,5]=>[6,5,1,7,3,8,2,4]=>0000000=>0000000 [6,2,4,8,1,5,3,7]=>[3,7,5,1,8,4,6,2]=>0000000=>0000000 [4,2,1,8,6,5,3,7]=>[5,7,8,1,3,4,6,2]=>0000000=>0000000 [1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000=>0000000 [6,5,4,3,2,1,7,8,9,10,11,12]=>[7,8,9,10,11,12,6,5,4,3,2,1]=>00000000000=>00000000000 [5,3,7,1,6,4,2,8]=>[4,6,2,8,3,5,7,1]=>0000000=>0000000 [5,3,6,4,2,7,1,8]=>[4,6,3,5,7,2,8,1]=>0000000=>0000000 [5,3,6,1,8,7,4,2]=>[4,6,3,8,1,2,5,7]=>0000000=>0000000 [2,4,5,1,3,8,7,6]=>[7,5,4,8,6,1,2,3]=>0000000=>0000000 [8,7,4,2,5,3,1,6]=>[1,2,5,7,4,6,8,3]=>1100000=>0000011 [4,1,8,6,3,2,7,5]=>[5,8,1,3,6,7,2,4]=>0000000=>0000000 [7,4,8,5,2,6,3,1]=>[2,5,1,4,7,3,6,8]=>0000001=>1000000 [7,4,8,5,2,1,6,3]=>[2,5,1,4,7,8,3,6]=>0000000=>0000000 [3,5,6,2,1,4,8,7]=>[6,4,3,7,8,5,1,2]=>0000000=>0000000 [4,1,7,5,8,3,2,6]=>[5,8,2,4,1,6,7,3]=>0000000=>0000000 [6,2,8,4,1,7,3,5]=>[3,7,1,5,8,2,6,4]=>0000000=>0000000 [7,3,4,8,1,6,2,5]=>[2,6,5,1,8,3,7,4]=>0000000=>0000000 [6,3,4,8,1,7,2,5]=>[3,6,5,1,8,2,7,4]=>0000000=>0000000 [5,3,4,8,1,2,7,6]=>[4,6,5,1,8,7,2,3]=>0000000=>0000000 [4,3,5,8,1,2,7,6]=>[5,6,4,1,8,7,2,3]=>0000000=>0000000 [1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>0000000=>0000000 [3,5,4,8,1,2,7,6]=>[6,4,5,1,8,7,2,3]=>0000000=>0000000 [4,5,3,8,1,2,7,6]=>[5,4,6,1,8,7,2,3]=>0000000=>0000000 [6,4,3,8,1,7,2,5]=>[3,5,6,1,8,2,7,4]=>0000000=>0000000 [7,4,3,8,1,6,2,5]=>[2,5,6,1,8,3,7,4]=>0000000=>0000000 [6,5,3,8,7,1,2,4]=>[3,4,6,1,2,8,7,5]=>0000000=>0000000 [5,6,3,8,7,1,2,4]=>[4,3,6,1,2,8,7,5]=>0000000=>0000000 [4,6,3,8,1,7,2,5]=>[5,3,6,1,8,2,7,4]=>0000000=>0000000 [2,6,8,4,1,7,3,5]=>[7,3,1,5,8,2,6,4]=>0000000=>0000000 [1,8,7,4,2,6,3,5]=>[8,1,2,5,7,3,6,4]=>0000000=>0000000 [5,7,3,8,6,1,2,4]=>[4,2,6,1,3,8,7,5]=>0000000=>0000000 [3,7,5,8,6,1,2,4]=>[6,2,4,1,3,8,7,5]=>0000000=>0000000 [2,7,8,5,6,1,3,4]=>[7,2,1,4,3,8,6,5]=>0000000=>0000000 [1,8,7,5,6,2,3,4]=>[8,1,2,4,3,7,6,5]=>0000000=>0000000 [2,6,8,5,7,1,3,4]=>[7,3,1,4,2,8,6,5]=>0000000=>0000000 [5,3,6,8,7,1,2,4]=>[4,6,3,1,2,8,7,5]=>0000000=>0000000 [7,2,8,5,6,1,3,4]=>[2,7,1,4,3,8,6,5]=>0000000=>0000000 [5,2,8,6,7,1,3,4]=>[4,7,1,3,2,8,6,5]=>0000000=>0000000 [1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>0000000=>0000000 [5,2,8,7,6,1,3,4]=>[4,7,1,2,3,8,6,5]=>0000000=>0000000 [6,2,8,7,5,1,3,4]=>[3,7,1,2,4,8,6,5]=>0000000=>0000000 [3,4,7,8,1,6,2,5]=>[6,5,2,1,8,3,7,4]=>0000000=>0000000 [1,8,5,7,6,2,3,4]=>[8,1,4,2,3,7,6,5]=>0000000=>0000000 [2,5,8,7,6,1,3,4]=>[7,4,1,2,3,8,6,5]=>0000000=>0000000 [7,4,6,5,8,1,2,3]=>[2,5,3,4,1,8,7,6]=>0000100=>0010000 [2,6,8,7,5,1,3,4]=>[7,3,1,2,4,8,6,5]=>0000000=>0000000 [1,8,6,7,5,2,3,4]=>[8,1,3,2,4,7,6,5]=>0000000=>0000000 [2,7,8,6,5,1,3,4]=>[7,2,1,3,4,8,6,5]=>0000000=>0000000 [5,7,6,4,8,1,2,3]=>[4,2,3,5,1,8,7,6]=>0000100=>0010000 [3,7,1,5,2,8,6,4]=>[6,2,8,4,7,1,3,5]=>0000000=>0000000 [8,1,6,2,7,5,3,4]=>[1,8,3,7,2,4,6,5]=>1000000=>0000001 [7,1,6,2,8,5,3,4]=>[2,8,3,7,1,4,6,5]=>0000000=>0000000 [8,2,3,5,1,7,6,4]=>[1,7,6,4,8,2,3,5]=>1000000=>0000001 [7,6,3,1,4,8,2,5]=>[2,3,6,8,5,1,7,4]=>0000000=>0000000 [8,2,7,5,1,6,4,3]=>[1,7,2,4,8,3,5,6]=>1000000=>0000001 [4,7,2,1,6,3,8,5]=>[5,2,7,8,3,6,1,4]=>0000000=>0000000 [3,6,7,1,5,2,8,4]=>[6,3,2,8,4,7,1,5]=>0000000=>0000000 [7,4,2,1,5,8,3,6]=>[2,5,7,8,4,1,6,3]=>0000000=>0000000 [6,4,2,7,3,8,1,5]=>[3,5,7,2,6,1,8,4]=>0000000=>0000000 [6,1,8,4,5,2,7,3]=>[3,8,1,5,4,7,2,6]=>0000000=>0000000 [3,5,2,7,1,6,8,4]=>[6,4,7,2,8,3,1,5]=>0000000=>0000000 [5,2,6,1,4,7,8,3]=>[4,7,3,8,5,2,1,6]=>0000000=>0000000 [5,3,6,1,4,2,7,8]=>[4,6,3,8,5,7,2,1]=>0000000=>0000000 [6,4,1,2,5,3,7,8]=>[3,5,8,7,4,6,2,1]=>0000000=>0000000 [3,7,6,5,1,2,8,4]=>[6,2,3,4,8,7,1,5]=>0000000=>0000000 [4,2,6,8,3,1,5,7]=>[5,7,3,1,6,8,4,2]=>0000000=>0000000 [4,2,3,8,6,1,5,7]=>[5,7,6,1,3,8,4,2]=>0000000=>0000000 [3,2,7,1,4,5,8,6]=>[6,7,2,8,5,4,1,3]=>0000000=>0000000 [6,2,8,3,7,5,1,4]=>[3,7,1,6,2,4,8,5]=>0000000=>0000000 [4,2,8,3,7,5,6,1]=>[5,7,1,6,2,4,3,8]=>0000001=>1000000 [7,3,4,8,6,5,1,2]=>[2,6,5,1,3,4,8,7]=>0000010=>0100000 [5,3,4,8,7,2,6,1]=>[4,6,5,1,2,7,3,8]=>0000001=>1000000 [4,6,3,8,5,7,2,1]=>[5,3,6,1,4,2,7,8]=>0000011=>1100000 [7,5,3,8,6,2,4,1]=>[2,4,6,1,3,7,5,8]=>0000001=>1000000 [2,6,8,3,7,4,5,1]=>[7,3,1,6,2,5,4,8]=>0000001=>1000000 [2,5,8,3,7,4,6,1]=>[7,4,1,6,2,5,3,8]=>0000001=>1000000 [7,4,3,8,6,2,5,1]=>[2,5,6,1,3,7,4,8]=>0000001=>1000000 [3,5,4,8,7,2,6,1]=>[6,4,5,1,2,7,3,8]=>0000001=>1000000 [4,5,3,8,6,7,2,1]=>[5,4,6,1,3,2,7,8]=>0000011=>1100000 [3,6,7,8,4,5,2,1]=>[6,3,2,1,5,4,7,8]=>0000011=>1100000 [1,8,5,6,4,7,3,2]=>[8,1,4,3,5,2,6,7]=>0000000=>0000000 [2,5,8,6,4,7,3,1]=>[7,4,1,3,5,2,6,8]=>0000001=>1000000 [6,3,7,8,4,5,2,1]=>[3,6,2,1,5,4,7,8]=>0000011=>1100000 [4,3,7,8,5,6,2,1]=>[5,6,2,1,4,3,7,8]=>0000011=>1100000 [4,2,8,6,5,7,3,1]=>[5,7,1,3,4,2,6,8]=>0000001=>1000000 [3,2,8,6,7,4,5,1]=>[6,7,1,3,2,5,4,8]=>0000001=>1000000 [2,3,8,7,5,4,6,1]=>[7,6,1,2,4,5,3,8]=>0000001=>1000000 [1,8,2,7,4,5,6,3]=>[8,1,7,2,5,4,3,6]=>0000000=>0000000 [7,2,8,6,3,4,5,1]=>[2,7,1,3,6,5,4,8]=>0000001=>1000000 [6,2,8,4,5,7,3,1]=>[3,7,1,5,4,2,6,8]=>0000001=>1000000 [5,2,8,4,6,7,3,1]=>[4,7,1,5,3,2,6,8]=>0000001=>1000000 [4,3,6,8,5,7,2,1]=>[5,6,3,1,4,2,7,8]=>0000011=>1100000 [3,4,6,8,7,2,5,1]=>[6,5,3,1,2,7,4,8]=>0000001=>1000000 [7,3,5,8,6,2,4,1]=>[2,6,4,1,3,7,5,8]=>0000001=>1000000 [1,8,3,5,7,4,6,2]=>[8,1,6,4,2,5,3,7]=>0000000=>0000000 [2,7,8,4,5,6,3,1]=>[7,2,1,5,4,3,6,8]=>0000001=>1000000 [3,7,5,8,4,6,2,1]=>[6,2,4,1,5,3,7,8]=>0000011=>1100000 [5,7,4,6,8,3,2,1]=>[4,2,5,3,1,6,7,8]=>0000111=>1110000 [3,6,5,8,4,7,2,1]=>[6,3,4,1,5,2,7,8]=>0000011=>1100000 [2,6,8,4,5,7,3,1]=>[7,3,1,5,4,2,6,8]=>0000001=>1000000 [6,4,2,3,7,1,5,8]=>[3,5,7,6,2,8,4,1]=>0000000=>0000000 [4,7,5,2,8,1,3,6]=>[5,2,4,7,1,8,6,3]=>0000000=>0000000 [8,5,7,1,2,4,6,3]=>[1,4,2,8,7,5,3,6]=>1000000=>0000001 [4,6,3,7,1,2,5,8]=>[5,3,6,2,8,7,4,1]=>0000000=>0000000 [5,3,8,1,6,2,4,7]=>[4,6,1,8,3,7,5,2]=>0000000=>0000000 [6,1,7,5,2,3,4,8]=>[3,8,2,4,7,6,5,1]=>0000000=>0000000 [3,8,7,1,2,4,6,5]=>[6,1,2,8,7,5,3,4]=>0000000=>0000000 [5,8,7,1,2,4,6,3]=>[4,1,2,8,7,5,3,6]=>0000000=>0000000 [5,8,6,4,1,2,3,7]=>[4,1,3,5,8,7,6,2]=>0000000=>0000000 [8,6,1,4,2,3,7,5]=>[1,3,8,5,7,6,2,4]=>1000000=>0000001 [5,8,2,6,4,3,1,7]=>[4,1,7,3,5,6,8,2]=>0000000=>0000000 [8,7,2,4,5,1,6,3]=>[1,2,7,5,4,8,3,6]=>1100000=>0000011 [5,6,3,1,8,4,7,2]=>[4,3,6,8,1,5,2,7]=>0000000=>0000000 [5,3,7,4,8,6,2,1]=>[4,6,2,5,1,3,7,8]=>0000011=>1100000 [8,5,1,7,2,6,4,3]=>[1,4,8,2,7,3,5,6]=>1000000=>0000001 [8,7,1,4,5,2,6,3]=>[1,2,8,5,4,7,3,6]=>1100000=>0000011 [7,6,3,1,5,2,8,4]=>[2,3,6,8,4,7,1,5]=>0000000=>0000000 [7,5,1,8,2,6,3,4]=>[2,4,8,1,7,3,6,5]=>0000000=>0000000 [8,7,3,1,5,4,2,6]=>[1,2,6,8,4,5,7,3]=>1100000=>0000011 [3,5,7,4,6,1,2,8]=>[6,4,2,5,3,8,7,1]=>0000000=>0000000 [3,7,5,4,1,8,6,2]=>[6,2,4,5,8,1,3,7]=>0000000=>0000000 [3,5,7,1,4,6,8,2]=>[6,4,2,8,5,3,1,7]=>0000000=>0000000 [5,7,6,3,1,8,4,2]=>[4,2,3,6,8,1,5,7]=>0000000=>0000000 [3,5,2,7,1,4,8,6]=>[6,4,7,2,8,5,1,3]=>0000000=>0000000 [3,2,7,5,1,8,4,6]=>[6,7,2,4,8,1,5,3]=>0000000=>0000000 [3,7,2,5,1,8,4,6]=>[6,2,7,4,8,1,5,3]=>0000000=>0000000 [5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>0000000=>0000000 [5,8,7,2,4,1,6,3]=>[4,1,2,7,5,8,3,6]=>0000000=>0000000 [3,8,6,4,1,7,5,2]=>[6,1,3,5,8,2,4,7]=>0000000=>0000000 [4,3,5,6,8,1,7,2]=>[5,6,4,3,1,8,2,7]=>0000000=>0000000 [3,7,6,4,1,8,5,2]=>[6,2,3,5,8,1,4,7]=>0000000=>0000000 [3,7,4,1,8,6,5,2]=>[6,2,5,8,1,3,4,7]=>0000000=>0000000 [3,8,4,1,7,6,5,2]=>[6,1,5,8,2,3,4,7]=>0000000=>0000000 [3,2,7,6,1,5,4,8]=>[6,7,2,3,8,4,5,1]=>0000000=>0000000 [5,7,8,2,4,1,6,3]=>[4,2,1,7,5,8,3,6]=>0000000=>0000000 [4,2,5,8,1,6,7,3]=>[5,7,4,1,8,3,2,6]=>0000000=>0000000 [5,8,2,4,1,6,3,7]=>[4,1,7,5,8,3,6,2]=>0000000=>0000000 [8,4,2,6,5,1,3,7]=>[1,5,7,3,4,8,6,2]=>1000000=>0000001 [3,2,6,8,1,5,4,7]=>[6,7,3,1,8,4,5,2]=>0000000=>0000000 [8,3,2,5,6,1,4,7]=>[1,6,7,4,3,8,5,2]=>1000000=>0000001 [3,2,8,6,7,1,5,4]=>[6,7,1,3,2,8,4,5]=>0000000=>0000000 [3,2,6,8,7,1,5,4]=>[6,7,3,1,2,8,4,5]=>0000000=>0000000 [3,2,6,7,1,5,4,8]=>[6,7,3,2,8,4,5,1]=>0000000=>0000000 [8,7,3,2,5,6,1,4]=>[1,2,6,7,4,3,8,5]=>1100000=>0000011 [7,2,8,1,5,3,6,4]=>[2,7,1,8,4,6,3,5]=>0000000=>0000000 [8,4,2,7,5,1,3,6]=>[1,5,7,2,4,8,6,3]=>1000000=>0000001 [7,4,2,8,5,1,3,6]=>[2,5,7,1,4,8,6,3]=>0000000=>0000000 [7,2,4,1,8,3,6,5]=>[2,7,5,8,1,6,3,4]=>0000000=>0000000 [7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>0000000=>0000000 [8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>1000001=>1000001 [8,5,6,3,7,4,2,1]=>[1,4,3,6,2,5,7,8]=>1000011=>1100001 [8,5,6,2,7,4,3,1]=>[1,4,3,7,2,5,6,8]=>1000001=>1000001 [8,7,6,3,4,1,5,2]=>[1,2,3,6,5,8,4,7]=>1110000=>0000111 [1,6,4,3,8,5,2,7]=>[8,3,5,6,1,4,7,2]=>0000000=>0000000 [7,6,5,8,3,1,4,2]=>[2,3,4,1,6,8,5,7]=>0001000=>0001000 [7,1,5,6,3,8,4,2]=>[2,8,4,3,6,1,5,7]=>0000000=>0000000 [7,2,3,5,4,8,6,1]=>[2,7,6,4,5,1,3,8]=>0000001=>1000000 [3,5,6,1,4,7,8,2]=>[6,4,3,8,5,2,1,7]=>0000000=>0000000 [3,4,6,8,7,2,1,5]=>[6,5,3,1,2,7,8,4]=>0000000=>0000000 [3,5,6,8,2,1,7,4]=>[6,4,3,1,7,8,2,5]=>0000000=>0000000 [4,2,1,5,3,7,8,6]=>[5,7,8,4,6,2,1,3]=>0000000=>0000000 [4,2,5,6,3,1,8,7]=>[5,7,4,3,6,8,1,2]=>0000000=>0000000 [3,5,6,8,1,7,2,4]=>[6,4,3,1,8,2,7,5]=>0000000=>0000000 [4,1,5,6,3,2,8,7]=>[5,8,4,3,6,7,1,2]=>0000000=>0000000 [4,5,3,1,7,2,8,6]=>[5,4,6,8,2,7,1,3]=>0000000=>0000000 [4,1,3,5,2,7,8,6]=>[5,8,6,4,7,2,1,3]=>0000000=>0000000 [2,5,4,7,3,8,6,1]=>[7,4,5,2,6,1,3,8]=>0000001=>1000000 [3,5,7,1,8,4,2,6]=>[6,4,2,8,1,5,7,3]=>0000000=>0000000 [4,1,5,3,2,7,8,6]=>[5,8,4,6,7,2,1,3]=>0000000=>0000000 [4,5,3,7,1,2,8,6]=>[5,4,6,2,8,7,1,3]=>0000000=>0000000 [4,3,6,1,2,7,5,8]=>[5,6,3,8,7,2,4,1]=>0000000=>0000000 [5,1,3,2,4,6,7,8]=>[4,8,6,7,5,3,2,1]=>0000000=>0000000 [3,6,1,7,4,5,2,8]=>[6,3,8,2,5,4,7,1]=>0000000=>0000000 [5,3,1,4,2,6,7,8]=>[4,6,8,5,7,3,2,1]=>0000000=>0000000 [4,5,2,3,7,1,8,6]=>[5,4,7,6,2,8,1,3]=>0000000=>0000000 [4,2,6,1,3,7,5,8]=>[5,7,3,8,6,2,4,1]=>0000000=>0000000 [4,6,2,1,3,7,5,8]=>[5,3,7,8,6,2,4,1]=>0000000=>0000000 [3,6,2,1,7,4,8,5]=>[6,3,7,8,2,5,1,4]=>0000000=>0000000 [3,1,4,7,6,5,2,8]=>[6,8,5,2,3,4,7,1]=>0000000=>0000000 [3,6,2,7,1,5,8,4]=>[6,3,7,2,8,4,1,5]=>0000000=>0000000 [4,6,2,7,1,3,5,8]=>[5,3,7,2,8,6,4,1]=>0000000=>0000000 [3,5,7,1,8,2,6,4]=>[6,4,2,8,1,7,3,5]=>0000000=>0000000 [5,1,4,2,3,6,7,8]=>[4,8,5,7,6,3,2,1]=>0000000=>0000000 [2,6,5,3,4,7,8,1]=>[7,3,4,6,5,2,1,8]=>0000001=>1000000 [3,6,1,7,5,4,2,8]=>[6,3,8,2,4,5,7,1]=>0000000=>0000000 [5,1,4,3,2,6,7,8]=>[4,8,5,6,7,3,2,1]=>0000000=>0000000 [5,4,1,3,2,6,7,8]=>[4,5,8,6,7,3,2,1]=>0000000=>0000000 [6,4,2,5,3,8,1,7]=>[3,5,7,4,6,1,8,2]=>0000000=>0000000 [6,2,4,5,1,8,3,7]=>[3,7,5,4,8,1,6,2]=>0000000=>0000000 [8,2,6,7,1,4,5,3]=>[1,7,3,2,8,5,4,6]=>1000000=>0000001 [4,6,2,3,5,8,1,7]=>[5,3,7,6,4,1,8,2]=>0000000=>0000000 [6,4,5,2,8,3,1,7]=>[3,5,4,7,1,6,8,2]=>0000000=>0000000 [6,4,8,2,5,3,7,1]=>[3,5,1,7,4,6,2,8]=>0000001=>1000000 [8,6,2,4,7,5,1,3]=>[1,3,7,5,2,4,8,6]=>1000000=>0000001 [4,7,6,8,5,1,3,2]=>[5,2,3,1,4,8,6,7]=>0000100=>0010000 [7,4,5,8,6,1,3,2]=>[2,5,4,1,3,8,6,7]=>0000100=>0010000 [4,6,3,8,2,7,5,1]=>[5,3,6,1,7,2,4,8]=>0000001=>1000000 [6,3,4,8,2,7,5,1]=>[3,6,5,1,7,2,4,8]=>0000001=>1000000 [7,8,4,2,5,3,1,6]=>[2,1,5,7,4,6,8,3]=>0100000=>0000010 [4,2,7,8,5,3,1,6]=>[5,7,2,1,4,6,8,3]=>0000000=>0000000 [6,3,1,8,7,5,2,4]=>[3,6,8,1,2,4,7,5]=>0000000=>0000000 [7,6,4,2,1,8,3,5]=>[2,3,5,7,8,1,6,4]=>0000000=>0000000 [8,4,2,5,7,6,3,1]=>[1,5,7,4,2,3,6,8]=>1000001=>1000001 [8,3,6,4,7,5,2,1]=>[1,6,3,5,2,4,7,8]=>1000011=>1100001 [7,5,2,6,3,1,8,4]=>[2,4,7,3,6,8,1,5]=>0000000=>0000000 [8,7,4,1,5,2,6,3]=>[1,2,5,8,4,7,3,6]=>1100000=>0000011 [7,4,1,5,2,8,6,3]=>[2,5,8,4,7,1,3,6]=>0000000=>0000000 [7,5,2,8,6,3,1,4]=>[2,4,7,1,3,6,8,5]=>0000000=>0000000 [6,4,7,5,2,1,3,8]=>[3,5,2,4,7,8,6,1]=>0000000=>0000000 [6,3,1,4,7,5,2,8]=>[3,6,8,5,2,4,7,1]=>0000000=>0000000 [6,3,1,4,8,7,5,2]=>[3,6,8,5,1,2,4,7]=>0000000=>0000000 [7,5,2,1,6,4,8,3]=>[2,4,7,8,3,5,1,6]=>0000000=>0000000 [6,3,8,7,4,1,5,2]=>[3,6,1,2,5,8,4,7]=>0000000=>0000000 [8,4,6,3,1,7,5,2]=>[1,5,3,6,8,2,4,7]=>1000000=>0000001 [4,6,7,2,5,3,1,8]=>[5,3,2,7,4,6,8,1]=>0000000=>0000000 [3,6,7,4,8,1,5,2]=>[6,3,2,5,1,8,4,7]=>0000000=>0000000 [3,4,6,8,7,1,5,2]=>[6,5,3,1,2,8,4,7]=>0000000=>0000000 [1,4,7,8,2,6,5,3]=>[8,5,2,1,7,3,4,6]=>0000000=>0000000 [2,4,7,8,1,6,5,3]=>[7,5,2,1,8,3,4,6]=>0000000=>0000000 [6,1,3,8,2,7,5,4]=>[3,8,6,1,7,2,4,5]=>0000000=>0000000 [5,1,8,4,2,7,6,3]=>[4,8,1,5,7,2,3,6]=>0000000=>0000000 [6,8,3,7,1,5,4,2]=>[3,1,6,2,8,4,5,7]=>0000000=>0000000 [2,7,3,8,1,6,5,4]=>[7,2,6,1,8,3,4,5]=>0000000=>0000000 [2,6,8,4,1,7,5,3]=>[7,3,1,5,8,2,4,6]=>0000000=>0000000 [4,5,8,6,3,1,7,2]=>[5,4,1,3,6,8,2,7]=>0000000=>0000000 [3,6,1,8,2,7,5,4]=>[6,3,8,1,7,2,4,5]=>0000000=>0000000 [5,7,4,1,2,8,6,3]=>[4,2,5,8,7,1,3,6]=>0000000=>0000000 [3,8,5,4,6,1,2,7]=>[6,1,4,5,3,8,7,2]=>0000000=>0000000 [1,5,8,4,7,3,6,2]=>[8,4,1,5,2,6,3,7]=>0000000=>0000000 [1,6,4,3,7,8,5,2]=>[8,3,5,6,2,1,4,7]=>0000000=>0000000 [1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000=>0000000 [7,3,8,6,1,4,2,5]=>[2,6,1,3,8,5,7,4]=>0000000=>0000000 [4,1,6,5,8,2,7,3]=>[5,8,3,4,1,7,2,6]=>0000000=>0000000 [3,1,6,5,8,4,7,2]=>[6,8,3,4,1,5,2,7]=>0000000=>0000000 [3,2,6,5,8,4,7,1]=>[6,7,3,4,1,5,2,8]=>0000001=>1000000 [4,3,7,1,6,5,8,2]=>[5,6,2,8,3,4,1,7]=>0000000=>0000000 [5,2,6,4,8,3,7,1]=>[4,7,3,5,1,6,2,8]=>0000001=>1000000 [5,1,6,4,8,2,7,3]=>[4,8,3,5,1,7,2,6]=>0000000=>0000000 [4,3,7,5,8,1,6,2]=>[5,6,2,4,1,8,3,7]=>0000000=>0000000 [4,3,7,5,8,2,6,1]=>[5,6,2,4,1,7,3,8]=>0000001=>1000000 [5,3,7,4,8,2,6,1]=>[4,6,2,5,1,7,3,8]=>0000001=>1000000 [5,3,7,4,8,1,6,2]=>[4,6,2,5,1,8,3,7]=>0000000=>0000000 [5,4,8,1,6,2,7,3]=>[4,5,1,8,3,7,2,6]=>0000000=>0000000 [4,3,7,1,5,2,8,6]=>[5,6,2,8,4,7,1,3]=>0000000=>0000000 [4,3,7,1,6,2,8,5]=>[5,6,2,8,3,7,1,4]=>0000000=>0000000 [5,4,8,2,6,3,7,1]=>[4,5,1,7,3,6,2,8]=>0000001=>1000000 [1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000=>0000000 [8,4,3,1,6,5,7,2]=>[1,5,6,8,3,4,2,7]=>1000000=>0000001 [4,8,3,2,5,7,6,1]=>[5,1,6,7,4,2,3,8]=>0000001=>1000000 [2,6,8,5,3,4,7,1]=>[7,3,1,4,6,5,2,8]=>0000001=>1000000 [8,2,6,7,5,1,4,3]=>[1,7,3,2,4,8,5,6]=>1000000=>0000001 [6,1,7,5,8,4,2,3]=>[3,8,2,4,1,5,7,6]=>0000000=>0000000 [8,3,4,7,6,2,5,1]=>[1,6,5,2,3,7,4,8]=>1000001=>1000001 [1,8,3,5,2,6,7,4]=>[8,1,6,4,7,3,2,5]=>0000000=>0000000 [7,1,6,5,8,4,2,3]=>[2,8,3,4,1,5,7,6]=>0000000=>0000000 [5,8,2,4,3,7,6,1]=>[4,1,7,5,6,2,3,8]=>0000001=>1000000 [6,7,8,4,1,3,5,2]=>[3,2,1,5,8,6,4,7]=>0010000=>0000100 [3,1,6,8,4,7,5,2]=>[6,8,3,1,5,2,4,7]=>0000000=>0000000 [8,3,6,1,5,7,4,2]=>[1,6,3,8,4,2,5,7]=>1000000=>0000001 [2,4,6,7,8,1,5,3]=>[7,5,3,2,1,8,4,6]=>0000000=>0000000 [5,7,3,8,6,2,1,4]=>[4,2,6,1,3,7,8,5]=>0000000=>0000000 [7,4,3,8,6,2,1,5]=>[2,5,6,1,3,7,8,4]=>0000000=>0000000 [3,5,2,8,1,4,7,6]=>[6,4,7,1,8,5,2,3]=>0000000=>0000000 [4,6,2,3,5,8,7,1]=>[5,3,7,6,4,1,2,8]=>0000001=>1000000 [4,6,2,3,7,5,8,1]=>[5,3,7,6,2,4,1,8]=>0000001=>1000000 [5,8,4,2,3,6,7,1]=>[4,1,5,7,6,3,2,8]=>0000001=>1000000 [6,8,4,2,3,7,5,1]=>[3,1,5,7,6,2,4,8]=>0000001=>1000000 [2,8,6,5,4,1,7,3]=>[7,1,3,4,5,8,2,6]=>0000000=>0000000 [3,8,6,2,5,7,1,4]=>[6,1,3,7,4,2,8,5]=>0000000=>0000000 [8,4,6,3,2,1,5,7]=>[1,5,3,6,7,8,4,2]=>1000000=>0000001 [1,5,2,7,4,6,8,3]=>[8,4,7,2,5,3,1,6]=>0000000=>0000000 [5,6,3,4,8,7,2,1]=>[4,3,6,5,1,2,7,8]=>0000011=>1100000 [7,5,3,8,4,6,2,1]=>[2,4,6,1,5,3,7,8]=>0000011=>1100000 [8,5,3,7,4,6,2,1]=>[1,4,6,2,5,3,7,8]=>1000011=>1100001 [7,1,2,8,3,6,4,5]=>[2,8,7,1,6,3,5,4]=>0000000=>0000000 [6,1,7,2,3,5,8,4]=>[3,8,2,7,6,4,1,5]=>0000000=>0000000 [1,6,8,2,4,5,7,3]=>[8,3,1,7,5,4,2,6]=>0000000=>0000000 [1,7,6,2,4,5,8,3]=>[8,2,3,7,5,4,1,6]=>0000000=>0000000 [8,1,7,2,3,5,4,6]=>[1,8,2,7,6,4,5,3]=>1000000=>0000001 [8,6,1,2,3,4,7,5]=>[1,3,8,7,6,5,2,4]=>1000000=>0000001 [8,1,6,2,3,5,4,7]=>[1,8,3,7,6,4,5,2]=>1000000=>0000001 [8,6,2,3,5,1,4,7]=>[1,3,7,6,4,8,5,2]=>1000000=>0000001 [8,3,6,1,5,4,2,7]=>[1,6,3,8,4,5,7,2]=>1000000=>0000001 [8,3,2,6,5,4,1,7]=>[1,6,7,3,4,5,8,2]=>1000000=>0000001 [3,5,2,8,7,6,4,1]=>[6,4,7,1,2,3,5,8]=>0000001=>1000000 [8,1,3,5,7,6,4,2]=>[1,8,6,4,2,3,5,7]=>1000000=>0000001 [4,1,8,5,7,6,3,2]=>[5,8,1,4,2,3,6,7]=>0000000=>0000000 [8,2,7,1,4,5,6,3]=>[1,7,2,8,5,4,3,6]=>1000000=>0000001 [8,3,1,7,2,6,5,4]=>[1,6,8,2,7,3,4,5]=>1000000=>0000001 [3,8,2,4,7,6,5,1]=>[6,1,7,5,2,3,4,8]=>0000001=>1000000 [8,2,3,7,1,6,5,4]=>[1,7,6,2,8,3,4,5]=>1000000=>0000001 [8,2,7,1,3,6,5,4]=>[1,7,2,8,6,3,4,5]=>1000000=>0000001 [8,2,4,3,7,6,1,5]=>[1,7,5,6,2,3,8,4]=>1000000=>0000001 [8,2,1,5,7,6,4,3]=>[1,7,8,4,2,3,5,6]=>1000000=>0000001 [6,1,8,2,7,5,4,3]=>[3,8,1,7,2,4,5,6]=>0000000=>0000000 [5,1,8,7,2,6,4,3]=>[4,8,1,2,7,3,5,6]=>0000000=>0000000 [5,1,4,8,7,6,3,2]=>[4,8,5,1,2,3,6,7]=>0000000=>0000000 [8,1,4,3,7,6,5,2]=>[1,8,5,6,2,3,4,7]=>1000000=>0000001 [7,1,3,8,2,5,6,4]=>[2,8,6,1,7,4,3,5]=>0000000=>0000000 [7,4,5,2,1,6,8,3]=>[2,5,4,7,8,3,1,6]=>0000000=>0000000 [7,3,2,8,5,6,1,4]=>[2,6,7,1,4,3,8,5]=>0000000=>0000000 [4,7,6,5,1,3,8,2]=>[5,2,3,4,8,6,1,7]=>0000000=>0000000 [1,7,6,5,2,3,8,4]=>[8,2,3,4,7,6,1,5]=>0000000=>0000000 [6,7,3,2,1,8,5,4]=>[3,2,6,7,8,1,4,5]=>0000000=>0000000 [5,7,6,2,1,4,8,3]=>[4,2,3,7,8,5,1,6]=>0000000=>0000000 [1,7,6,3,2,8,4,5]=>[8,2,3,6,7,1,5,4]=>0000000=>0000000 [6,5,8,3,4,1,7,2]=>[3,4,1,6,5,8,2,7]=>0000000=>0000000 [5,7,3,6,8,1,4,2]=>[4,2,6,3,1,8,5,7]=>0000000=>0000000 [4,1,2,8,5,3,6,7]=>[5,8,7,1,4,6,3,2]=>0000000=>0000000 [1,7,6,5,8,4,2,3]=>[8,2,3,4,1,5,7,6]=>0000000=>0000000 [2,7,1,5,8,4,3,6]=>[7,2,8,4,1,5,6,3]=>0000000=>0000000 [6,7,8,4,2,5,3,1]=>[3,2,1,5,7,4,6,8]=>0010001=>1000100 [4,1,2,7,8,5,3,6]=>[5,8,7,2,1,4,6,3]=>0000000=>0000000 [4,7,3,1,6,2,8,5]=>[5,2,6,8,3,7,1,4]=>0000000=>0000000 [2,7,1,8,5,3,6,4]=>[7,2,8,1,4,6,3,5]=>0000000=>0000000 [4,8,1,6,2,7,5,3]=>[5,1,8,3,7,2,4,6]=>0000000=>0000000 [6,5,2,3,1,7,4,8]=>[3,4,7,6,8,2,5,1]=>0000000=>0000000 [6,1,8,4,2,7,5,3]=>[3,8,1,5,7,2,4,6]=>0000000=>0000000 [5,2,6,8,1,7,4,3]=>[4,7,3,1,8,2,5,6]=>0000000=>0000000 [3,7,8,6,1,2,4,5]=>[6,2,1,3,8,7,5,4]=>0000000=>0000000 [2,7,6,8,5,1,3,4]=>[7,2,3,1,4,8,6,5]=>0000000=>0000000 [3,5,6,2,1,7,4,8]=>[6,4,3,7,8,2,5,1]=>0000000=>0000000 [2,4,6,1,5,7,3,8]=>[7,5,3,8,4,2,6,1]=>0000000=>0000000 [3,2,7,4,1,8,5,6]=>[6,7,2,5,8,1,4,3]=>0000000=>0000000 [7,4,6,2,8,3,5,1]=>[2,5,3,7,1,6,4,8]=>0000001=>1000000 [7,3,5,1,4,8,2,6]=>[2,6,4,8,5,1,7,3]=>0000000=>0000000 [3,4,6,5,1,2,7,8]=>[6,5,3,4,8,7,2,1]=>0000000=>0000000 [7,5,4,3,8,6,2,1]=>[2,4,5,6,1,3,7,8]=>0000011=>1100000 [2,4,1,8,6,7,5,3]=>[7,5,8,1,3,2,4,6]=>0000000=>0000000 [4,3,8,2,5,7,1,6]=>[5,6,1,7,4,2,8,3]=>0000000=>0000000 [4,1,6,2,5,3,7,8]=>[5,8,3,7,4,6,2,1]=>0000000=>0000000 [4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>0000000=>0000000 [5,2,7,8,6,1,3,4]=>[4,7,2,1,3,8,6,5]=>0000000=>0000000 [6,5,2,3,8,1,7,4]=>[3,4,7,6,1,8,2,5]=>0000000=>0000000 [3,5,6,1,4,2,8,7]=>[6,4,3,8,5,7,1,2]=>0000000=>0000000 [8,4,6,7,3,2,1,5]=>[1,5,3,2,6,7,8,4]=>1000000=>0000001 [2,1,5,7,8,3,6,4]=>[7,8,4,2,1,6,3,5]=>0000000=>0000000 [7,2,3,8,6,1,4,5]=>[2,7,6,1,3,8,5,4]=>0000000=>0000000 [7,3,2,5,8,1,6,4]=>[2,6,7,4,1,8,3,5]=>0000000=>0000000 [5,1,8,7,4,3,6,2]=>[4,8,1,2,5,6,3,7]=>0000000=>0000000 [3,8,7,2,4,6,1,5]=>[6,1,2,7,5,3,8,4]=>0000000=>0000000 [5,7,1,3,2,4,8,6]=>[4,2,8,6,7,5,1,3]=>0000000=>0000000 [8,4,7,6,3,5,1,2]=>[1,5,2,3,6,4,8,7]=>1000010=>0100001 [6,5,1,3,8,7,4,2]=>[3,4,8,6,1,2,5,7]=>0000000=>0000000 [8,6,5,1,7,4,3,2]=>[1,3,4,8,2,5,6,7]=>1000000=>0000001 [8,2,3,7,1,4,5,6]=>[1,7,6,2,8,5,4,3]=>1000000=>0000001 [3,7,8,2,6,1,4,5]=>[6,2,1,7,3,8,5,4]=>0000000=>0000000 [4,8,6,5,1,2,7,3]=>[5,1,3,4,8,7,2,6]=>0000000=>0000000 [8,4,6,7,1,2,5,3]=>[1,5,3,2,8,7,4,6]=>1000000=>0000001 [5,8,2,6,1,4,7,3]=>[4,1,7,3,8,5,2,6]=>0000000=>0000000 [7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]=>0000000=>0000000 [7,4,6,5,1,3,8,2]=>[2,5,3,4,8,6,1,7]=>0000000=>0000000 [2,8,5,4,1,7,6,3]=>[7,1,4,5,8,2,3,6]=>0000000=>0000000 [1,4,6,2,8,7,5,3]=>[8,5,3,7,1,2,4,6]=>0000000=>0000000 [7,8,2,4,1,6,5,3]=>[2,1,7,5,8,3,4,6]=>0100000=>0000010 [2,4,6,1,8,7,5,3]=>[7,5,3,8,1,2,4,6]=>0000000=>0000000 [2,8,4,5,1,7,6,3]=>[7,1,5,4,8,2,3,6]=>0000000=>0000000 [1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>0000000=>0000000 [3,2,8,1,5,7,6,4]=>[6,7,1,8,4,2,3,5]=>0000000=>0000000 [3,1,8,2,5,7,6,4]=>[6,8,1,7,4,2,3,5]=>0000000=>0000000 [7,8,2,1,4,6,5,3]=>[2,1,7,8,5,3,4,6]=>0100000=>0000010 [3,1,6,8,7,2,5,4]=>[6,8,3,1,2,7,4,5]=>0000000=>0000000 [8,1,4,7,6,3,2,5]=>[1,8,5,2,3,6,7,4]=>1000000=>0000001 [8,4,6,3,1,2,5,7]=>[1,5,3,6,8,7,4,2]=>1000000=>0000001 [6,8,1,4,5,2,3,7]=>[3,1,8,5,4,7,6,2]=>0000000=>0000000 [5,6,8,1,4,2,3,7]=>[4,3,1,8,5,7,6,2]=>0000000=>0000000 [5,3,7,1,2,4,8,6]=>[4,6,2,8,7,5,1,3]=>0000000=>0000000 [8,7,1,5,6,2,3,4]=>[1,2,8,4,3,7,6,5]=>1100000=>0000011 [8,1,5,7,6,2,3,4]=>[1,8,4,2,3,7,6,5]=>1000000=>0000001 [7,8,6,1,5,2,3,4]=>[2,1,3,8,4,7,6,5]=>0110000=>0000110 [6,2,4,7,1,3,8,5]=>[3,7,5,2,8,6,1,4]=>0000000=>0000000 [5,4,7,1,3,2,8,6]=>[4,5,2,8,6,7,1,3]=>0000000=>0000000 [6,1,4,7,5,3,8,2]=>[3,8,5,2,4,6,1,7]=>0000000=>0000000 [4,7,3,6,1,2,8,5]=>[5,2,6,3,8,7,1,4]=>0000000=>0000000 [2,6,8,7,5,3,1,4]=>[7,3,1,2,4,6,8,5]=>0000000=>0000000 [4,7,3,1,8,5,6,2]=>[5,2,6,8,1,4,3,7]=>0000000=>0000000 [1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000=>0000000 [6,7,3,5,8,2,1,4]=>[3,2,6,4,1,7,8,5]=>0000000=>0000000 [6,2,7,5,8,1,3,4]=>[3,7,2,4,1,8,6,5]=>0000000=>0000000 [4,6,5,7,2,8,1,3]=>[5,3,4,2,7,1,8,6]=>0000000=>0000000 [5,4,6,7,8,1,3,2]=>[4,5,3,2,1,8,6,7]=>0000100=>0010000 [8,5,4,1,3,2,6,7]=>[1,4,5,8,6,7,3,2]=>1000000=>0000001 [7,3,6,4,1,2,5,8]=>[2,6,3,5,8,7,4,1]=>0000000=>0000000 [6,4,1,7,2,5,3,8]=>[3,5,8,2,7,4,6,1]=>0000000=>0000000 [2,8,5,7,1,3,6,4]=>[7,1,4,2,8,6,3,5]=>0000000=>0000000 [8,5,2,6,1,3,7,4]=>[1,4,7,3,8,6,2,5]=>1000000=>0000001 [7,1,2,6,5,4,3,8]=>[2,8,7,3,4,5,6,1]=>0000000=>0000000 [2,8,5,1,6,4,7,3]=>[7,1,4,8,3,5,2,6]=>0000000=>0000000 [7,3,8,5,2,6,1,4]=>[2,6,1,4,7,3,8,5]=>0000000=>0000000 [6,3,8,1,4,5,2,7]=>[3,6,1,8,5,4,7,2]=>0000000=>0000000 [5,4,1,3,2,8,6,7]=>[4,5,8,6,7,1,3,2]=>0000000=>0000000 [5,2,1,4,3,8,6,7]=>[4,7,8,5,6,1,3,2]=>0000000=>0000000 [5,1,2,4,3,8,6,7]=>[4,8,7,5,6,1,3,2]=>0000000=>0000000 [2,3,7,1,8,5,4,6]=>[7,6,2,8,1,4,5,3]=>0000000=>0000000 [4,3,1,6,8,2,5,7]=>[5,6,8,3,1,7,4,2]=>0000000=>0000000 [1,5,2,6,4,8,7,3]=>[8,4,7,3,5,1,2,6]=>0000000=>0000000 [1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>0000000=>0000000 [1,7,2,6,4,8,5,3]=>[8,2,7,3,5,1,4,6]=>0000000=>0000000 [1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>0000000=>0000000 [1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>0000000=>0000000 [1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>0000000=>0000000 [1,5,3,8,4,7,6,2]=>[8,4,6,1,5,2,3,7]=>0000000=>0000000 [1,6,3,8,4,7,5,2]=>[8,3,6,1,5,2,4,7]=>0000000=>0000000 [2,8,3,7,1,5,4,6]=>[7,1,6,2,8,4,5,3]=>0000000=>0000000 [3,8,2,6,1,5,4,7]=>[6,1,7,3,8,4,5,2]=>0000000=>0000000 [6,8,7,3,5,2,4,1]=>[3,1,2,6,4,7,5,8]=>0010001=>1000100 [8,3,5,1,2,6,4,7]=>[1,6,4,8,7,3,5,2]=>1000000=>0000001 [6,8,5,4,1,3,7,2]=>[3,1,4,5,8,6,2,7]=>0000000=>0000000 [6,8,7,3,5,2,1,4]=>[3,1,2,6,4,7,8,5]=>0010000=>0000100 [4,8,7,5,1,6,2,3]=>[5,1,2,4,8,3,7,6]=>0000000=>0000000 [4,5,2,1,8,6,7,3]=>[5,4,7,8,1,3,2,6]=>0000000=>0000000 [2,4,6,3,5,7,8,1]=>[7,5,3,6,4,2,1,8]=>0000001=>1000000 [2,3,6,1,5,7,8,4]=>[7,6,3,8,4,2,1,5]=>0000000=>0000000 [4,3,6,2,5,7,8,1]=>[5,6,3,7,4,2,1,8]=>0000001=>1000000 [1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>0000000=>0000000 [5,8,6,3,1,7,2,4]=>[4,1,3,6,8,2,7,5]=>0000000=>0000000 [5,1,4,3,6,7,8,2]=>[4,8,5,6,3,2,1,7]=>0000000=>0000000 [3,6,7,5,1,2,8,4]=>[6,3,2,4,8,7,1,5]=>0000000=>0000000 [5,7,6,8,1,2,4,3]=>[4,2,3,1,8,7,5,6]=>0001000=>0001000 [3,4,6,1,5,2,8,7]=>[6,5,3,8,4,7,1,2]=>0000000=>0000000 [5,3,2,1,8,6,4,7]=>[4,6,7,8,1,3,5,2]=>0000000=>0000000 [3,8,6,4,5,7,2,1]=>[6,1,3,5,4,2,7,8]=>0000011=>1100000 [4,3,6,2,1,8,7,5]=>[5,6,3,7,8,1,2,4]=>0000000=>0000000 [8,5,4,1,6,3,2,7]=>[1,4,5,8,3,6,7,2]=>1000000=>0000001 [6,3,7,4,8,2,1,5]=>[3,6,2,5,1,7,8,4]=>0000000=>0000000 [5,3,8,4,1,6,2,7]=>[4,6,1,5,8,3,7,2]=>0000000=>0000000 [1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>0000000=>0000000 [8,3,1,2,5,7,4,6]=>[1,6,8,7,4,2,5,3]=>1000000=>0000001 [2,4,5,8,7,3,1,6]=>[7,5,4,1,2,6,8,3]=>0000000=>0000000 [4,3,1,5,6,2,8,7]=>[5,6,8,4,3,7,1,2]=>0000000=>0000000 [2,1,5,8,6,7,4,3]=>[7,8,4,1,3,2,5,6]=>0000000=>0000000 [4,7,1,5,6,2,8,3]=>[5,2,8,4,3,7,1,6]=>0000000=>0000000 [2,1,6,5,3,7,8,4]=>[7,8,3,4,6,2,1,5]=>0000000=>0000000 [1,6,2,5,4,8,3,7]=>[8,3,7,4,5,1,6,2]=>0000000=>0000000 [6,7,2,1,3,8,4,5]=>[3,2,7,8,6,1,5,4]=>0000000=>0000000 [4,1,7,5,8,3,6,2]=>[5,8,2,4,1,6,3,7]=>0000000=>0000000 [6,7,3,2,1,8,4,5]=>[3,2,6,7,8,1,5,4]=>0000000=>0000000 [2,6,7,4,3,8,5,1]=>[7,3,2,5,6,1,4,8]=>0000001=>1000000 [1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000=>0000000 [1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000=>0000000 [2,7,5,8,1,6,3,4]=>[7,2,4,1,8,3,6,5]=>0000000=>0000000 [8,5,1,7,3,6,2,4]=>[1,4,8,2,6,3,7,5]=>1000000=>0000001 [8,6,1,5,4,3,2,7]=>[1,3,8,4,5,6,7,2]=>1000000=>0000001 [2,7,4,6,1,5,8,3]=>[7,2,5,3,8,4,1,6]=>0000000=>0000000 [8,7,3,1,5,4,6,2]=>[1,2,6,8,4,5,3,7]=>1100000=>0000011 [1,6,5,4,8,3,2,7]=>[8,3,4,5,1,6,7,2]=>0000000=>0000000 [8,2,4,3,1,5,6,7]=>[1,7,5,6,8,4,3,2]=>1000000=>0000001 [1,7,3,5,8,4,6,2]=>[8,2,6,4,1,5,3,7]=>0000000=>0000000 [8,7,5,1,3,4,6,2]=>[1,2,4,8,6,5,3,7]=>1100000=>0000011 [8,7,2,1,4,6,5,3]=>[1,2,7,8,5,3,4,6]=>1100000=>0000011 [2,7,3,6,4,8,5,1]=>[7,2,6,3,5,1,4,8]=>0000001=>1000000 [3,7,1,5,8,4,6,2]=>[6,2,8,4,1,5,3,7]=>0000000=>0000000 [1,3,7,6,4,8,5,2]=>[8,6,2,3,5,1,4,7]=>0000000=>0000000 [1,2,7,5,8,4,6,3]=>[8,7,2,4,1,5,3,6]=>0000000=>0000000 [3,1,8,7,5,4,2,6]=>[6,8,1,2,4,5,7,3]=>0000000=>0000000 [6,4,1,7,5,3,2,8]=>[3,5,8,2,4,6,7,1]=>0000000=>0000000 [6,4,1,8,5,3,2,7]=>[3,5,8,1,4,6,7,2]=>0000000=>0000000 [8,4,1,7,5,3,2,6]=>[1,5,8,2,4,6,7,3]=>1000000=>0000001 [8,5,6,1,4,3,2,7]=>[1,4,3,8,5,6,7,2]=>1000000=>0000001 [5,7,6,1,4,3,2,8]=>[4,2,3,8,5,6,7,1]=>0000000=>0000000 [5,8,6,1,4,3,2,7]=>[4,1,3,8,5,6,7,2]=>0000000=>0000000 [6,2,3,7,5,1,8,4]=>[3,7,6,2,4,8,1,5]=>0000000=>0000000 [6,2,3,1,7,5,8,4]=>[3,7,6,8,2,4,1,5]=>0000000=>0000000 [7,6,3,1,4,8,5,2]=>[2,3,6,8,5,1,4,7]=>0000000=>0000000 [7,6,3,8,4,5,2,1]=>[2,3,6,1,5,4,7,8]=>0000011=>1100000 [6,8,1,7,4,5,3,2]=>[3,1,8,2,5,4,6,7]=>0000000=>0000000 [5,2,1,4,7,6,8,3]=>[4,7,8,5,2,3,1,6]=>0000000=>0000000 [5,6,3,8,4,1,2,7]=>[4,3,6,1,5,8,7,2]=>0000000=>0000000 [8,2,7,6,1,4,5,3]=>[1,7,2,3,8,5,4,6]=>1000000=>0000001 [5,2,3,4,7,8,1,6]=>[4,7,6,5,2,1,8,3]=>0000000=>0000000 [1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>0000000=>0000000 [8,4,6,5,1,2,7,3]=>[1,5,3,4,8,7,2,6]=>1000000=>0000001 [4,2,5,1,7,8,3,6]=>[5,7,4,8,2,1,6,3]=>0000000=>0000000 [4,6,5,2,7,1,8,3]=>[5,3,4,7,2,8,1,6]=>0000000=>0000000 [6,7,2,5,3,1,8,4]=>[3,2,7,4,6,8,1,5]=>0000000=>0000000 [3,7,2,5,4,1,8,6]=>[6,2,7,4,5,8,1,3]=>0000000=>0000000 [7,4,2,6,3,1,8,5]=>[2,5,7,3,6,8,1,4]=>0000000=>0000000 [3,4,7,6,2,8,5,1]=>[6,5,2,3,7,1,4,8]=>0000001=>1000000 [4,7,8,2,6,5,3,1]=>[5,2,1,7,3,4,6,8]=>0000001=>1000000 [4,7,8,1,6,5,3,2]=>[5,2,1,8,3,4,6,7]=>0000000=>0000000 [3,5,8,6,1,4,2,7]=>[6,4,1,3,8,5,7,2]=>0000000=>0000000 [1,6,4,7,2,8,5,3]=>[8,3,5,2,7,1,4,6]=>0000000=>0000000 [1,3,7,5,2,8,4,6]=>[8,6,2,4,7,1,5,3]=>0000000=>0000000 [1,4,7,6,3,8,5,2]=>[8,5,2,3,6,1,4,7]=>0000000=>0000000 [1,7,8,2,6,5,4,3]=>[8,2,1,7,3,4,5,6]=>0000000=>0000000 [1,3,6,2,7,5,4,8]=>[8,6,3,7,2,4,5,1]=>0000000=>0000000 [2,4,7,3,8,6,5,1]=>[7,5,2,6,1,3,4,8]=>0000001=>1000000 [1,8,2,6,5,4,3,7]=>[8,1,7,3,4,5,6,2]=>0000000=>0000000 [1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000=>0000000 [1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>0000000=>0000000 [2,6,1,7,5,4,3,8]=>[7,3,8,2,4,5,6,1]=>0000000=>0000000 [2,7,1,6,5,4,3,8]=>[7,2,8,3,4,5,6,1]=>0000000=>0000000 [8,2,1,6,5,4,3,7]=>[1,7,8,3,4,5,6,2]=>1000000=>0000001 [7,6,1,5,4,3,2,8]=>[2,3,8,4,5,6,7,1]=>0000000=>0000000 [7,4,2,8,1,6,3,5]=>[2,5,7,1,8,3,6,4]=>0000000=>0000000 [3,7,2,8,1,5,4,6]=>[6,2,7,1,8,4,5,3]=>0000000=>0000000 [5,2,8,6,1,4,3,7]=>[4,7,1,3,8,5,6,2]=>0000000=>0000000 [7,3,8,1,6,5,4,2]=>[2,6,1,8,3,4,5,7]=>0000000=>0000000 [7,3,8,2,6,5,4,1]=>[2,6,1,7,3,4,5,8]=>0000001=>1000000 [4,6,5,3,1,7,2,8]=>[5,3,4,6,8,2,7,1]=>0000000=>0000000 [5,3,6,1,2,8,7,4]=>[4,6,3,8,7,1,2,5]=>0000000=>0000000 [3,5,4,1,2,8,7,6]=>[6,4,5,8,7,1,2,3]=>0000000=>0000000 [4,6,5,1,2,8,7,3]=>[5,3,4,8,7,1,2,6]=>0000000=>0000000 [6,8,1,2,7,5,3,4]=>[3,1,8,7,2,4,6,5]=>0000000=>0000000 [4,6,2,3,8,7,5,1]=>[5,3,7,6,1,2,4,8]=>0000001=>1000000 [3,2,7,4,8,6,5,1]=>[6,7,2,5,1,3,4,8]=>0000001=>1000000 [8,1,6,2,7,5,4,3]=>[1,8,3,7,2,4,5,6]=>1000000=>0000001 [5,2,1,7,3,8,6,4]=>[4,7,8,2,6,1,3,5]=>0000000=>0000000 [3,7,1,2,8,5,4,6]=>[6,2,8,7,1,4,5,3]=>0000000=>0000000 [6,1,2,8,5,4,3,7]=>[3,8,7,1,4,5,6,2]=>0000000=>0000000 [7,1,3,8,6,5,4,2]=>[2,8,6,1,3,4,5,7]=>0000000=>0000000 [7,2,3,8,6,5,4,1]=>[2,7,6,1,3,4,5,8]=>0000001=>1000000 [8,1,3,7,6,5,4,2]=>[1,8,6,2,3,4,5,7]=>1000000=>0000001 [1,3,7,4,8,6,5,2]=>[8,6,2,5,1,3,4,7]=>0000000=>0000000 [2,4,1,8,7,3,6,5]=>[7,5,8,1,2,6,3,4]=>0000000=>0000000 [3,5,1,7,8,2,6,4]=>[6,4,8,2,1,7,3,5]=>0000000=>0000000 [5,4,7,8,2,1,6,3]=>[4,5,2,1,7,8,3,6]=>0000000=>0000000 [6,4,5,8,3,2,1,7]=>[3,5,4,1,6,7,8,2]=>0000000=>0000000 [5,3,6,1,8,4,2,7]=>[4,6,3,8,1,5,7,2]=>0000000=>0000000 [8,5,4,7,2,1,6,3]=>[1,4,5,2,7,8,3,6]=>1000000=>0000001 [5,7,4,8,2,1,6,3]=>[4,2,5,1,7,8,3,6]=>0000000=>0000000 [7,8,4,1,2,6,3,5]=>[2,1,5,8,7,3,6,4]=>0100000=>0000010 [8,1,2,6,3,7,5,4]=>[1,8,7,3,6,2,4,5]=>1000000=>0000001 [8,1,2,7,6,3,5,4]=>[1,8,7,2,3,6,4,5]=>1000000=>0000001 [4,8,7,3,1,6,2,5]=>[5,1,2,6,8,3,7,4]=>0000000=>0000000 [8,4,3,1,6,2,7,5]=>[1,5,6,8,3,7,2,4]=>1000000=>0000001 [8,3,5,7,4,2,1,6]=>[1,6,4,2,5,7,8,3]=>1000000=>0000001 [6,1,2,7,3,5,8,4]=>[3,8,7,2,6,4,1,5]=>0000000=>0000000 [7,3,6,2,1,8,4,5]=>[2,6,3,7,8,1,5,4]=>0000000=>0000000 [8,4,3,2,7,6,1,5]=>[1,5,6,7,2,3,8,4]=>1000000=>0000001 [6,4,3,8,5,2,1,7]=>[3,5,6,1,4,7,8,2]=>0000000=>0000000 [3,2,8,6,5,4,1,7]=>[6,7,1,3,4,5,8,2]=>0000000=>0000000 [8,4,3,7,5,2,1,6]=>[1,5,6,2,4,7,8,3]=>1000000=>0000001 [6,8,7,4,3,2,1,5]=>[3,1,2,5,6,7,8,4]=>0010000=>0000100 [6,3,2,1,8,7,4,5]=>[3,6,7,8,1,2,5,4]=>0000000=>0000000 [3,7,4,1,5,8,6,2]=>[6,2,5,8,4,1,3,7]=>0000000=>0000000 [6,7,1,4,3,8,5,2]=>[3,2,8,5,6,1,4,7]=>0000000=>0000000 [6,1,5,8,3,4,7,2]=>[3,8,4,1,6,5,2,7]=>0000000=>0000000 [6,8,1,2,4,7,5,3]=>[3,1,8,7,5,2,4,6]=>0000000=>0000000 [7,2,1,4,5,8,6,3]=>[2,7,8,5,4,1,3,6]=>0000000=>0000000 [7,1,5,3,6,8,4,2]=>[2,8,4,6,3,1,5,7]=>0000000=>0000000 [8,6,1,4,5,7,3,2]=>[1,3,8,5,4,2,6,7]=>1000000=>0000001 [4,6,7,2,1,8,3,5]=>[5,3,2,7,8,1,6,4]=>0000000=>0000000 [4,5,8,1,3,6,7,2]=>[5,4,1,8,6,3,2,7]=>0000000=>0000000 [4,5,8,6,2,7,3,1]=>[5,4,1,3,7,2,6,8]=>0000001=>1000000 [4,6,7,2,1,8,5,3]=>[5,3,2,7,8,1,4,6]=>0000000=>0000000 [4,1,3,5,6,7,8,2]=>[5,8,6,4,3,2,1,7]=>0000000=>0000000 [4,5,8,3,7,2,1,6]=>[5,4,1,6,2,7,8,3]=>0000000=>0000000 [3,7,8,4,6,2,5,1]=>[6,2,1,5,3,7,4,8]=>0000001=>1000000 [3,8,6,2,5,1,7,4]=>[6,1,3,7,4,8,2,5]=>0000000=>0000000 [2,1,5,8,6,3,7,4]=>[7,8,4,1,3,6,2,5]=>0000000=>0000000 [4,6,8,5,2,7,1,3]=>[5,3,1,4,7,2,8,6]=>0000000=>0000000 [7,8,2,3,5,4,1,6]=>[2,1,7,6,4,5,8,3]=>0100000=>0000010 [5,1,3,2,6,7,4,8]=>[4,8,6,7,3,2,5,1]=>0000000=>0000000 [6,7,2,4,8,3,1,5]=>[3,2,7,5,1,6,8,4]=>0000000=>0000000 [5,1,3,7,6,4,8,2]=>[4,8,6,2,3,5,1,7]=>0000000=>0000000 [4,6,5,1,7,3,8,2]=>[5,3,4,8,2,6,1,7]=>0000000=>0000000 [3,7,2,8,5,1,4,6]=>[6,2,7,1,4,8,5,3]=>0000000=>0000000 [1,6,5,3,7,8,4,2]=>[8,3,4,6,2,1,5,7]=>0000000=>0000000 [1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000=>0000000 [6,2,3,4,7,1,8,5]=>[3,7,6,5,2,8,1,4]=>0000000=>0000000 [6,8,5,7,3,1,2,4]=>[3,1,4,2,6,8,7,5]=>0001000=>0001000 [6,8,7,5,3,1,2,4]=>[3,1,2,4,6,8,7,5]=>0011000=>0001100 [6,2,7,5,1,3,8,4]=>[3,7,2,4,8,6,1,5]=>0000000=>0000000 [1,7,5,6,2,3,8,4]=>[8,2,4,3,7,6,1,5]=>0000000=>0000000 [3,7,6,1,2,4,8,5]=>[6,2,3,8,7,5,1,4]=>0000000=>0000000 [3,6,7,5,2,8,1,4]=>[6,3,2,4,7,1,8,5]=>0000000=>0000000 [8,3,1,4,7,2,5,6]=>[1,6,8,5,2,7,4,3]=>1000000=>0000001 [8,2,6,7,5,1,3,4]=>[1,7,3,2,4,8,6,5]=>1000000=>0000001 [8,1,7,4,6,2,3,5]=>[1,8,2,5,3,7,6,4]=>1000000=>0000001 [4,5,8,7,1,2,3,6]=>[5,4,1,2,8,7,6,3]=>0000000=>0000000 [1,8,7,4,6,2,3,5]=>[8,1,2,5,3,7,6,4]=>0000000=>0000000 [6,5,4,1,3,8,2,7]=>[3,4,5,8,6,1,7,2]=>0000000=>0000000 [1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>0000000=>0000000 [8,7,4,3,1,5,2,6]=>[1,2,5,6,8,4,7,3]=>1100000=>0000011 [3,8,4,5,1,6,7,2]=>[6,1,5,4,8,3,2,7]=>0000000=>0000000 [8,5,4,1,3,6,7,2]=>[1,4,5,8,6,3,2,7]=>1000000=>0000001 [8,3,1,7,5,6,4,2]=>[1,6,8,2,4,3,5,7]=>1000000=>0000001 [8,4,7,6,5,3,1,2]=>[1,5,2,3,4,6,8,7]=>1000110=>0110001 [8,1,4,5,7,6,3,2]=>[1,8,5,4,2,3,6,7]=>1000000=>0000001 [2,4,1,8,5,7,6,3]=>[7,5,8,1,4,2,3,6]=>0000000=>0000000 [1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>0000000=>0000000 [8,4,2,1,7,5,6,3]=>[1,5,7,8,2,4,3,6]=>1000000=>0000001 [8,2,7,5,6,4,1,3]=>[1,7,2,4,3,5,8,6]=>1000000=>0000001 [8,4,7,6,5,1,2,3]=>[1,5,2,3,4,8,7,6]=>1000100=>0010001 [8,4,7,2,1,6,5,3]=>[1,5,2,7,8,3,4,6]=>1000000=>0000001 [8,2,5,7,1,4,6,3]=>[1,7,4,2,8,5,3,6]=>1000000=>0000001 [8,4,7,1,3,6,5,2]=>[1,5,2,8,6,3,4,7]=>1000000=>0000001 [5,3,6,1,4,2,8,7]=>[4,6,3,8,5,7,1,2]=>0000000=>0000000 [5,7,2,1,4,3,8,6]=>[4,2,7,8,5,6,1,3]=>0000000=>0000000 [7,3,8,5,6,2,1,4]=>[2,6,1,4,3,7,8,5]=>0000000=>0000000 [7,4,8,6,5,3,2,1]=>[2,5,1,3,4,6,7,8]=>0000111=>1110000 [6,4,8,2,3,1,7,5]=>[3,5,1,7,6,8,2,4]=>0000000=>0000000 [5,1,6,3,8,2,4,7]=>[4,8,3,6,1,7,5,2]=>0000000=>0000000 [1,6,7,3,8,4,5,2]=>[8,3,2,6,1,5,4,7]=>0000000=>0000000 [6,1,5,8,7,2,3,4]=>[3,8,4,1,2,7,6,5]=>0000000=>0000000 [3,4,8,1,7,6,5,2]=>[6,5,1,8,2,3,4,7]=>0000000=>0000000 [4,3,5,8,2,6,1,7]=>[5,6,4,1,7,3,8,2]=>0000000=>0000000 [7,8,6,3,1,4,2,5]=>[2,1,3,6,8,5,7,4]=>0110000=>0000110 [7,8,6,3,5,1,2,4]=>[2,1,3,6,4,8,7,5]=>0110000=>0000110 [7,2,8,5,4,6,3,1]=>[2,7,1,4,5,3,6,8]=>0000001=>1000000 [6,1,8,4,7,2,3,5]=>[3,8,1,5,2,7,6,4]=>0000000=>0000000 [6,1,7,4,8,2,5,3]=>[3,8,2,5,1,7,4,6]=>0000000=>0000000 [3,1,2,4,8,5,7,6]=>[6,8,7,5,1,4,2,3]=>0000000=>0000000 [5,1,2,4,6,7,8,3]=>[4,8,7,5,3,2,1,6]=>0000000=>0000000 [5,6,2,4,8,3,7,1]=>[4,3,7,5,1,6,2,8]=>0000001=>1000000 [5,7,4,2,6,3,8,1]=>[4,2,5,7,3,6,1,8]=>0000001=>1000000 [5,7,3,2,6,4,8,1]=>[4,2,6,7,3,5,1,8]=>0000001=>1000000 [7,5,6,2,8,3,4,1]=>[2,4,3,7,1,6,5,8]=>0000001=>1000000 [6,3,7,5,2,4,8,1]=>[3,6,2,4,7,5,1,8]=>0000001=>1000000 [4,7,6,2,3,8,5,1]=>[5,2,3,7,6,1,4,8]=>0000001=>1000000 [7,6,3,2,5,8,1,4]=>[2,3,6,7,4,1,8,5]=>0000000=>0000000 [4,8,3,7,1,6,5,2]=>[5,1,6,2,8,3,4,7]=>0000000=>0000000 [8,7,2,6,5,1,4,3]=>[1,2,7,3,4,8,5,6]=>1100000=>0000011 [5,8,2,7,6,4,1,3]=>[4,1,7,2,3,5,8,6]=>0000000=>0000000 [1,6,7,2,5,3,4,8]=>[8,3,2,7,4,6,5,1]=>0000000=>0000000 [1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>0000000=>0000000 [1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>0000000=>0000000 [1,7,5,6,3,8,4,2]=>[8,2,4,3,6,1,5,7]=>0000000=>0000000 [4,7,3,6,1,8,2,5]=>[5,2,6,3,8,1,7,4]=>0000000=>0000000 [3,5,6,1,8,7,2,4]=>[6,4,3,8,1,2,7,5]=>0000000=>0000000 [5,3,6,8,7,2,1,4]=>[4,6,3,1,2,7,8,5]=>0000000=>0000000 [4,7,5,2,1,8,6,3]=>[5,2,4,7,8,1,3,6]=>0000000=>0000000 [8,2,3,4,1,7,6,5]=>[1,7,6,5,8,2,3,4]=>1000000=>0000001 [3,1,6,4,8,7,5,2]=>[6,8,3,5,1,2,4,7]=>0000000=>0000000 [8,4,7,5,1,3,6,2]=>[1,5,2,4,8,6,3,7]=>1000000=>0000001 [5,7,3,1,2,6,8,4]=>[4,2,6,8,7,3,1,5]=>0000000=>0000000 [5,2,4,1,7,8,3,6]=>[4,7,5,8,2,1,6,3]=>0000000=>0000000 [8,5,4,2,7,6,3,1]=>[1,4,5,7,2,3,6,8]=>1000001=>1000001 [2,8,4,6,7,1,3,5]=>[7,1,5,3,2,8,6,4]=>0000000=>0000000 [2,5,3,1,6,8,7,4]=>[7,4,6,8,3,1,2,5]=>0000000=>0000000 [2,5,1,6,4,8,7,3]=>[7,4,8,3,5,1,2,6]=>0000000=>0000000 [8,4,6,1,2,5,7,3]=>[1,5,3,8,7,4,2,6]=>1000000=>0000001 [3,7,8,4,2,6,5,1]=>[6,2,1,5,7,3,4,8]=>0000001=>1000000 [3,5,1,8,6,7,2,4]=>[6,4,8,1,3,2,7,5]=>0000000=>0000000 [2,6,7,3,8,5,1,4]=>[7,3,2,6,1,4,8,5]=>0000000=>0000000 [2,6,7,8,3,5,1,4]=>[7,3,2,1,6,4,8,5]=>0000000=>0000000 [3,6,7,8,2,1,5,4]=>[6,3,2,1,7,8,4,5]=>0000000=>0000000 [3,6,7,2,8,1,5,4]=>[6,3,2,7,1,8,4,5]=>0000000=>0000000 [2,6,7,1,3,5,8,4]=>[7,3,2,8,6,4,1,5]=>0000000=>0000000 [3,6,7,1,2,8,5,4]=>[6,3,2,8,7,1,4,5]=>0000000=>0000000 [3,6,7,1,8,2,5,4]=>[6,3,2,8,1,7,4,5]=>0000000=>0000000 [3,4,1,8,7,2,6,5]=>[6,5,8,1,2,7,3,4]=>0000000=>0000000 [3,1,5,7,2,8,6,4]=>[6,8,4,2,7,1,3,5]=>0000000=>0000000 [3,8,1,4,7,2,6,5]=>[6,1,8,5,2,7,3,4]=>0000000=>0000000 [4,8,1,3,2,7,6,5]=>[5,1,8,6,7,2,3,4]=>0000000=>0000000 [4,1,8,3,2,7,6,5]=>[5,8,1,6,7,2,3,4]=>0000000=>0000000 [4,1,3,8,2,7,6,5]=>[5,8,6,1,7,2,3,4]=>0000000=>0000000 [1,4,2,3,7,6,5,8]=>[8,5,7,6,2,3,4,1]=>0000000=>0000000 [4,3,1,8,2,7,6,5]=>[5,6,8,1,7,2,3,4]=>0000000=>0000000 [4,3,8,1,2,7,6,5]=>[5,6,1,8,7,2,3,4]=>0000000=>0000000 [4,3,8,2,1,7,6,5]=>[5,6,1,7,8,2,3,4]=>0000000=>0000000 [3,4,2,8,7,1,6,5]=>[6,5,7,1,2,8,3,4]=>0000000=>0000000 [3,8,4,2,7,1,6,5]=>[6,1,5,7,2,8,3,4]=>0000000=>0000000 [2,8,4,3,7,6,1,5]=>[7,1,5,6,2,3,8,4]=>0000000=>0000000 [2,4,3,8,7,6,1,5]=>[7,5,6,1,2,3,8,4]=>0000000=>0000000 [2,4,5,7,6,1,8,3]=>[7,5,4,2,3,8,1,6]=>0000000=>0000000 [2,3,5,7,8,6,1,4]=>[7,6,4,2,1,3,8,5]=>0000000=>0000000 [2,3,8,4,7,6,1,5]=>[7,6,1,5,2,3,8,4]=>0000000=>0000000 [3,8,2,4,7,1,6,5]=>[6,1,7,5,2,8,3,4]=>0000000=>0000000 [3,2,4,8,7,1,6,5]=>[6,7,5,1,2,8,3,4]=>0000000=>0000000 [3,2,5,7,1,8,6,4]=>[6,7,4,2,8,1,3,5]=>0000000=>0000000 [4,2,3,8,1,7,6,5]=>[5,7,6,1,8,2,3,4]=>0000000=>0000000 [4,8,2,3,1,7,6,5]=>[5,1,7,6,8,2,3,4]=>0000000=>0000000 [4,8,2,1,3,7,6,5]=>[5,1,7,8,6,2,3,4]=>0000000=>0000000 [4,2,8,1,3,7,6,5]=>[5,7,1,8,6,2,3,4]=>0000000=>0000000 [3,1,2,4,7,8,6,5]=>[6,8,7,5,2,1,3,4]=>0000000=>0000000 [4,5,7,1,6,8,3,2]=>[5,4,2,8,3,1,6,7]=>0000000=>0000000 [4,2,5,1,3,7,8,6]=>[5,7,4,8,6,2,1,3]=>0000000=>0000000 [4,3,5,1,2,7,8,6]=>[5,6,4,8,7,2,1,3]=>0000000=>0000000 [8,4,7,5,3,6,2,1]=>[1,5,2,4,6,3,7,8]=>1000011=>1100001 [3,1,8,5,4,2,7,6]=>[6,8,1,4,5,7,2,3]=>0000000=>0000000 [6,8,3,2,1,5,7,4]=>[3,1,6,7,8,4,2,5]=>0000000=>0000000 [2,7,5,1,3,6,8,4]=>[7,2,4,8,6,3,1,5]=>0000000=>0000000 [5,8,3,1,2,6,4,7]=>[4,1,6,8,7,3,5,2]=>0000000=>0000000 [8,5,3,2,1,6,4,7]=>[1,4,6,7,8,3,5,2]=>1000000=>0000001 [8,4,2,7,5,1,6,3]=>[1,5,7,2,4,8,3,6]=>1000000=>0000001 [8,7,6,1,5,2,3,4]=>[1,2,3,8,4,7,6,5]=>1110000=>0000111 [8,3,2,7,4,6,5,1]=>[1,6,7,2,5,3,4,8]=>1000001=>1000001 [4,8,1,5,3,7,6,2]=>[5,1,8,4,6,2,3,7]=>0000000=>0000000 [8,7,3,1,6,4,5,2]=>[1,2,6,8,3,5,4,7]=>1100000=>0000011 [6,4,1,7,8,5,3,2]=>[3,5,8,2,1,4,6,7]=>0000000=>0000000 [7,6,3,4,1,8,5,2]=>[2,3,6,5,8,1,4,7]=>0000000=>0000000 [8,7,3,1,6,2,5,4]=>[1,2,6,8,3,7,4,5]=>1100000=>0000011 [8,7,3,2,6,1,5,4]=>[1,2,6,7,3,8,4,5]=>1100000=>0000011 [8,7,2,6,5,1,3,4]=>[1,2,7,3,4,8,6,5]=>1100000=>0000011 [1,4,8,6,7,5,3,2]=>[8,5,1,3,2,4,6,7]=>0000000=>0000000 [8,1,7,6,4,5,3,2]=>[1,8,2,3,5,4,6,7]=>1000000=>0000001 [6,7,3,5,8,1,4,2]=>[3,2,6,4,1,8,5,7]=>0000000=>0000000 [6,7,3,5,8,2,4,1]=>[3,2,6,4,1,7,5,8]=>0000001=>1000000 [6,3,7,5,8,2,4,1]=>[3,6,2,4,1,7,5,8]=>0000001=>1000000 [6,2,7,4,8,1,5,3]=>[3,7,2,5,1,8,4,6]=>0000000=>0000000 [6,4,7,2,8,3,5,1]=>[3,5,2,7,1,6,4,8]=>0000001=>1000000 [8,7,6,4,2,5,3,1]=>[1,2,3,5,7,4,6,8]=>1110001=>1000111 [8,7,4,6,2,3,5,1]=>[1,2,5,3,7,6,4,8]=>1100001=>1000011 [7,2,1,5,3,8,6,4]=>[2,7,8,4,6,1,3,5]=>0000000=>0000000 [3,2,7,1,6,8,5,4]=>[6,7,2,8,3,1,4,5]=>0000000=>0000000 [7,2,1,8,6,3,5,4]=>[2,7,8,1,3,6,4,5]=>0000000=>0000000 [4,3,6,8,7,2,1,5]=>[5,6,3,1,2,7,8,4]=>0000000=>0000000 [1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>0000000=>0000000 [8,4,6,2,5,7,1,3]=>[1,5,3,7,4,2,8,6]=>1000000=>0000001 [1,3,4,7,6,8,2,5]=>[8,6,5,2,3,1,7,4]=>0000000=>0000000 [8,1,3,6,7,4,2,5]=>[1,8,6,3,2,5,7,4]=>1000000=>0000001 [1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000=>0000000 [2,1,4,7,8,5,3,6]=>[7,8,5,2,1,4,6,3]=>0000000=>0000000 [3,1,4,7,6,8,2,5]=>[6,8,5,2,3,1,7,4]=>0000000=>0000000 [4,1,3,7,6,8,2,5]=>[5,8,6,2,3,1,7,4]=>0000000=>0000000 [5,1,7,3,6,8,2,4]=>[4,8,2,6,3,1,7,5]=>0000000=>0000000 [6,7,8,2,4,5,1,3]=>[3,2,1,7,5,4,8,6]=>0010000=>0000100 [5,8,6,2,4,7,1,3]=>[4,1,3,7,5,2,8,6]=>0000000=>0000000 [3,8,2,6,5,7,1,4]=>[6,1,7,3,4,2,8,5]=>0000000=>0000000 [2,8,3,6,7,4,1,5]=>[7,1,6,3,2,5,8,4]=>0000000=>0000000 [1,8,3,6,7,4,2,5]=>[8,1,6,3,2,5,7,4]=>0000000=>0000000 [8,7,1,6,4,3,2,5]=>[1,2,8,3,5,6,7,4]=>1100000=>0000011 [1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000=>0000000 [3,8,1,7,5,4,2,6]=>[6,1,8,2,4,5,7,3]=>0000000=>0000000 [4,8,1,6,7,3,2,5]=>[5,1,8,3,2,6,7,4]=>0000000=>0000000 [5,8,6,1,7,3,2,4]=>[4,1,3,8,2,6,7,5]=>0000000=>0000000 [6,7,1,2,8,4,3,5]=>[3,2,8,7,1,5,6,4]=>0000000=>0000000 [8,2,1,7,5,4,3,6]=>[1,7,8,2,4,5,6,3]=>1000000=>0000001 [1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>0000000=>0000000 [3,4,1,7,6,8,2,5]=>[6,5,8,2,3,1,7,4]=>0000000=>0000000 [2,5,7,1,8,4,3,6]=>[7,4,2,8,1,5,6,3]=>0000000=>0000000 [3,5,7,1,6,8,2,4]=>[6,4,2,8,3,1,7,5]=>0000000=>0000000 [4,5,7,6,1,8,2,3]=>[5,4,2,3,8,1,7,6]=>0000000=>0000000 [5,4,7,6,8,3,1,2]=>[4,5,2,3,1,6,8,7]=>0000110=>0110000 [1,5,7,8,6,3,2,4]=>[8,4,2,1,3,6,7,5]=>0000000=>0000000 [8,4,6,7,5,2,1,3]=>[1,5,3,2,4,7,8,6]=>1000100=>0010001 [8,3,7,5,6,2,1,4]=>[1,6,2,4,3,7,8,5]=>1000000=>0000001 [1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>0000000=>0000000 [2,4,8,6,7,3,1,5]=>[7,5,1,3,2,6,8,4]=>0000000=>0000000 [2,3,8,7,5,4,1,6]=>[7,6,1,2,4,5,8,3]=>0000000=>0000000 [1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>0000000=>0000000 [8,2,7,6,4,3,1,5]=>[1,7,2,3,5,6,8,4]=>1000000=>0000001 [8,1,7,6,4,3,2,5]=>[1,8,2,3,5,6,7,4]=>1000000=>0000001 [4,1,8,6,7,3,2,5]=>[5,8,1,3,2,6,7,4]=>0000000=>0000000 [4,8,7,5,6,2,1,3]=>[5,1,2,4,3,7,8,6]=>0000100=>0010000 [8,1,7,2,5,6,4,3]=>[1,8,2,7,4,3,5,6]=>1000000=>0000001 [8,1,3,5,2,7,6,4]=>[1,8,6,4,7,2,3,5]=>1000000=>0000001 [8,1,7,4,3,6,5,2]=>[1,8,2,5,6,3,4,7]=>1000000=>0000001 [8,6,2,4,3,7,5,1]=>[1,3,7,5,6,2,4,8]=>1000001=>1000001 [8,1,4,5,6,3,7,2]=>[1,8,5,4,3,6,2,7]=>1000000=>0000001 [8,1,4,5,6,2,7,3]=>[1,8,5,4,3,7,2,6]=>1000000=>0000001 [8,1,4,7,6,2,5,3]=>[1,8,5,2,3,7,4,6]=>1000000=>0000001 [2,5,1,7,8,6,4,3]=>[7,4,8,2,1,3,5,6]=>0000000=>0000000 [3,5,6,2,8,7,4,1]=>[6,4,3,7,1,2,5,8]=>0000001=>1000000 [3,5,6,1,8,7,4,2]=>[6,4,3,8,1,2,5,7]=>0000000=>0000000 [7,3,1,5,6,4,2,8]=>[2,6,8,4,3,5,7,1]=>0000000=>0000000 [8,6,2,4,7,3,1,5]=>[1,3,7,5,2,6,8,4]=>1000000=>0000001 [8,4,7,3,5,2,1,6]=>[1,5,2,6,4,7,8,3]=>1000000=>0000001 [8,4,5,3,7,6,2,1]=>[1,5,4,6,2,3,7,8]=>1000011=>1100001 [3,4,5,6,2,8,1,7]=>[6,5,4,3,7,1,8,2]=>0000000=>0000000 [3,7,4,2,8,5,1,6]=>[6,2,5,7,1,4,8,3]=>0000000=>0000000 [7,3,4,1,6,8,2,5]=>[2,6,5,8,3,1,7,4]=>0000000=>0000000 [2,6,3,1,4,7,5,8]=>[7,3,6,8,5,2,4,1]=>0000000=>0000000 [7,2,1,6,3,4,8,5]=>[2,7,8,3,6,5,1,4]=>0000000=>0000000 [7,3,4,1,6,5,8,2]=>[2,6,5,8,3,4,1,7]=>0000000=>0000000 [3,7,4,2,5,8,6,1]=>[6,2,5,7,4,1,3,8]=>0000001=>1000000 [2,3,5,1,4,8,7,6]=>[7,6,4,8,5,1,2,3]=>0000000=>0000000 [2,7,1,3,6,8,5,4]=>[7,2,8,6,3,1,4,5]=>0000000=>0000000 [2,7,1,3,8,4,6,5]=>[7,2,8,6,1,5,3,4]=>0000000=>0000000 [3,8,7,1,6,2,5,4]=>[6,1,2,8,3,7,4,5]=>0000000=>0000000 [3,8,7,1,4,5,2,6]=>[6,1,2,8,5,4,7,3]=>0000000=>0000000 [3,7,4,2,1,8,6,5]=>[6,2,5,7,8,1,3,4]=>0000000=>0000000 [4,8,5,7,2,6,3,1]=>[5,1,4,2,7,3,6,8]=>0000001=>1000000 [8,4,5,7,3,2,6,1]=>[1,5,4,2,6,7,3,8]=>1000001=>1000001 [8,3,7,2,4,1,5,6]=>[1,6,2,7,5,8,4,3]=>1000000=>0000001 [8,3,7,5,1,2,6,4]=>[1,6,2,4,8,7,3,5]=>1000000=>0000001 [7,3,4,6,2,1,5,8]=>[2,6,5,3,7,8,4,1]=>0000000=>0000000 [3,7,4,6,1,5,2,8]=>[6,2,5,3,8,4,7,1]=>0000000=>0000000 [3,4,7,6,1,2,8,5]=>[6,5,2,3,8,7,1,4]=>0000000=>0000000 [4,5,8,7,6,1,3,2]=>[5,4,1,2,3,8,6,7]=>0000100=>0010000 [8,3,6,7,2,5,1,4]=>[1,6,3,2,7,4,8,5]=>1000000=>0000001 [8,6,3,7,5,1,4,2]=>[1,3,6,2,4,8,5,7]=>1000000=>0000001 [8,5,2,6,7,4,1,3]=>[1,4,7,3,2,5,8,6]=>1000000=>0000001 [7,6,3,8,1,4,5,2]=>[2,3,6,1,8,5,4,7]=>0000000=>0000000 [7,6,4,8,1,2,5,3]=>[2,3,5,1,8,7,4,6]=>0000000=>0000000 [6,4,7,2,1,5,8,3]=>[3,5,2,7,8,4,1,6]=>0000000=>0000000 [8,7,3,1,4,5,6,2]=>[1,2,6,8,5,4,3,7]=>1100000=>0000011 [8,5,3,1,6,7,4,2]=>[1,4,6,8,3,2,5,7]=>1000000=>0000001 [6,4,7,3,1,5,2,8]=>[3,5,2,6,8,4,7,1]=>0000000=>0000000 [8,5,3,1,6,4,2,7]=>[1,4,6,8,3,5,7,2]=>1000000=>0000001 [8,7,4,1,5,2,3,6]=>[1,2,5,8,4,7,6,3]=>1100000=>0000011 [8,6,4,1,2,7,5,3]=>[1,3,5,8,7,2,4,6]=>1000000=>0000001 [3,5,2,6,4,7,8,1]=>[6,4,7,3,5,2,1,8]=>0000001=>1000000 [2,5,8,6,3,1,7,4]=>[7,4,1,3,6,8,2,5]=>0000000=>0000000 [2,3,6,1,8,7,4,5]=>[7,6,3,8,1,2,5,4]=>0000000=>0000000 [1,2,5,7,4,6,8,3]=>[8,7,4,2,5,3,1,6]=>0000000=>0000000 [7,8,2,5,1,6,4,3]=>[2,1,7,4,8,3,5,6]=>0100000=>0000010 [8,5,2,7,6,3,1,4]=>[1,4,7,2,3,6,8,5]=>1000000=>0000001 [7,2,5,6,1,8,4,3]=>[2,7,4,3,8,1,5,6]=>0000000=>0000000 [6,7,2,8,1,3,4,5]=>[3,2,7,1,8,6,5,4]=>0000000=>0000000 [7,8,6,5,1,3,2,4]=>[2,1,3,4,8,6,7,5]=>0111000=>0001110 [1,7,8,5,2,6,3,4]=>[8,2,1,4,7,3,6,5]=>0000000=>0000000 [7,1,8,6,3,2,5,4]=>[2,8,1,3,6,7,4,5]=>0000000=>0000000 [4,3,2,8,7,1,6,5]=>[5,6,7,1,2,8,3,4]=>0000000=>0000000 [4,8,3,2,7,1,6,5]=>[5,1,6,7,2,8,3,4]=>0000000=>0000000 [5,3,8,7,1,6,4,2]=>[4,6,1,2,8,3,5,7]=>0000000=>0000000 [3,8,7,2,6,5,1,4]=>[6,1,2,7,3,4,8,5]=>0000000=>0000000 [5,8,4,7,1,6,3,2]=>[4,1,5,2,8,3,6,7]=>0000000=>0000000 [6,1,8,5,4,3,7,2]=>[3,8,1,4,5,6,2,7]=>0000000=>0000000 [7,2,5,6,1,4,8,3]=>[2,7,4,3,8,5,1,6]=>0000000=>0000000 [5,2,6,8,1,4,7,3]=>[4,7,3,1,8,5,2,6]=>0000000=>0000000 [6,7,4,2,5,8,1,3]=>[3,2,5,7,4,1,8,6]=>0000000=>0000000 [6,7,4,1,2,5,8,3]=>[3,2,5,8,7,4,1,6]=>0000000=>0000000 [2,8,7,3,4,6,5,1]=>[7,1,2,6,5,3,4,8]=>0000001=>1000000 [1,6,8,5,2,4,7,3]=>[8,3,1,4,7,5,2,6]=>0000000=>0000000 [1,6,7,4,2,5,8,3]=>[8,3,2,5,7,4,1,6]=>0000000=>0000000 [8,3,1,6,5,7,4,2]=>[1,6,8,3,4,2,5,7]=>1000000=>0000001 [7,4,3,1,6,5,8,2]=>[2,5,6,8,3,4,1,7]=>0000000=>0000000 [6,8,2,1,5,7,4,3]=>[3,1,7,8,4,2,5,6]=>0000000=>0000000 [3,8,7,1,2,5,4,6]=>[6,1,2,8,7,4,5,3]=>0000000=>0000000 [4,8,5,6,7,2,1,3]=>[5,1,4,3,2,7,8,6]=>0000100=>0010000 [5,8,6,2,7,4,1,3]=>[4,1,3,7,2,5,8,6]=>0000000=>0000000 [4,7,6,2,8,3,1,5]=>[5,2,3,7,1,6,8,4]=>0000000=>0000000 [4,8,5,1,7,6,2,3]=>[5,1,4,8,2,3,7,6]=>0000000=>0000000 [7,3,1,4,8,2,6,5]=>[2,6,8,5,1,7,3,4]=>0000000=>0000000 [5,7,6,1,3,8,4,2]=>[4,2,3,8,6,1,5,7]=>0000000=>0000000 [6,7,5,1,3,8,4,2]=>[3,2,4,8,6,1,5,7]=>0000000=>0000000 [5,7,1,4,2,8,6,3]=>[4,2,8,5,7,1,3,6]=>0000000=>0000000 [5,7,1,2,4,8,6,3]=>[4,2,8,7,5,1,3,6]=>0000000=>0000000 [6,7,4,1,3,8,5,2]=>[3,2,5,8,6,1,4,7]=>0000000=>0000000 [7,6,4,1,3,8,5,2]=>[2,3,5,8,6,1,4,7]=>0000000=>0000000 [5,7,1,8,2,6,4,3]=>[4,2,8,1,7,3,5,6]=>0000000=>0000000 [4,5,8,3,7,6,2,1]=>[5,4,1,6,2,3,7,8]=>0000011=>1100000 [2,4,7,8,5,6,1,3]=>[7,5,2,1,4,3,8,6]=>0000000=>0000000 [4,8,2,5,7,3,1,6]=>[5,1,7,4,2,6,8,3]=>0000000=>0000000 [4,5,8,2,6,3,1,7]=>[5,4,1,7,3,6,8,2]=>0000000=>0000000 [5,2,6,3,4,8,1,7]=>[4,7,3,6,5,1,8,2]=>0000000=>0000000 [2,8,7,1,4,3,6,5]=>[7,1,2,8,5,6,3,4]=>0000000=>0000000 [1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000=>0000000 [6,5,4,8,3,1,2,7]=>[3,4,5,1,6,8,7,2]=>0000000=>0000000 [3,4,1,8,6,5,2,7]=>[6,5,8,1,3,4,7,2]=>0000000=>0000000 [1,8,4,7,6,2,3,5]=>[8,1,5,2,3,7,6,4]=>0000000=>0000000 [5,8,4,7,6,1,3,2]=>[4,1,5,2,3,8,6,7]=>0000100=>0010000 [8,6,5,2,7,4,1,3]=>[1,3,4,7,2,5,8,6]=>1000000=>0000001 [8,7,5,2,6,1,4,3]=>[1,2,4,7,3,8,5,6]=>1100000=>0000011 [8,5,1,7,6,4,3,2]=>[1,4,8,2,3,5,6,7]=>1000000=>0000001 [8,5,3,7,6,1,4,2]=>[1,4,6,2,3,8,5,7]=>1000000=>0000001 [3,2,6,7,1,8,5,4]=>[6,7,3,2,8,1,4,5]=>0000000=>0000000 [5,7,2,8,1,4,6,3]=>[4,2,7,1,8,5,3,6]=>0000000=>0000000 [7,8,4,6,2,1,5,3]=>[2,1,5,3,7,8,4,6]=>0100000=>0000010 [1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>0000000=>0000000 [1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000=>0000000 [4,3,6,8,7,2,5,1]=>[5,6,3,1,2,7,4,8]=>0000001=>1000000 [7,5,6,4,1,3,2,8]=>[2,4,3,5,8,6,7,1]=>0000000=>0000000 [7,3,2,1,4,6,5,8]=>[2,6,7,8,5,3,4,1]=>0000000=>0000000 [3,6,2,1,5,8,7,4]=>[6,3,7,8,4,1,2,5]=>0000000=>0000000 [3,6,7,4,1,2,8,5]=>[6,3,2,5,8,7,1,4]=>0000000=>0000000 [4,3,2,7,1,6,8,5]=>[5,6,7,2,8,3,1,4]=>0000000=>0000000 [4,5,8,2,3,6,7,1]=>[5,4,1,7,6,3,2,8]=>0000001=>1000000 [2,4,5,3,8,6,7,1]=>[7,5,4,6,1,3,2,8]=>0000001=>1000000 [4,3,5,2,8,6,7,1]=>[5,6,4,7,1,3,2,8]=>0000001=>1000000 [7,3,5,4,2,8,6,1]=>[2,6,4,5,7,1,3,8]=>0000001=>1000000 [5,4,8,3,2,6,7,1]=>[4,5,1,6,7,3,2,8]=>0000001=>1000000 [8,2,5,6,4,7,1,3]=>[1,7,4,3,5,2,8,6]=>1000000=>0000001 [6,1,2,7,3,5,4,8]=>[3,8,7,2,6,4,5,1]=>0000000=>0000000 [3,1,7,6,8,4,2,5]=>[6,8,2,3,1,5,7,4]=>0000000=>0000000 [8,4,6,7,3,1,2,5]=>[1,5,3,2,6,8,7,4]=>1000000=>0000001 [3,7,2,4,1,6,8,5]=>[6,2,7,5,8,3,1,4]=>0000000=>0000000 [8,4,6,2,3,1,5,7]=>[1,5,3,7,6,8,4,2]=>1000000=>0000001 [7,5,2,1,4,3,8,6]=>[2,4,7,8,5,6,1,3]=>0000000=>0000000 [3,4,5,2,8,6,1,7]=>[6,5,4,7,1,3,8,2]=>0000000=>0000000 [3,4,5,2,1,8,6,7]=>[6,5,4,7,8,1,3,2]=>0000000=>0000000 [3,2,7,8,6,1,4,5]=>[6,7,2,1,3,8,5,4]=>0000000=>0000000 [6,7,4,2,1,5,3,8]=>[3,2,5,7,8,4,6,1]=>0000000=>0000000 [6,5,1,2,8,3,4,7]=>[3,4,8,7,1,6,5,2]=>0000000=>0000000 [5,6,8,1,3,7,2,4]=>[4,3,1,8,6,2,7,5]=>0000000=>0000000 [7,8,2,5,6,3,1,4]=>[2,1,7,4,3,6,8,5]=>0100000=>0000010 [8,5,2,1,3,7,4,6]=>[1,4,7,8,6,2,5,3]=>1000000=>0000001 [7,2,8,4,6,1,3,5]=>[2,7,1,5,3,8,6,4]=>0000000=>0000000 [1,7,8,4,6,2,3,5]=>[8,2,1,5,3,7,6,4]=>0000000=>0000000 [5,1,4,6,7,3,8,2]=>[4,8,5,3,2,6,1,7]=>0000000=>0000000 [3,4,8,2,5,7,1,6]=>[6,5,1,7,4,2,8,3]=>0000000=>0000000 [7,1,3,4,6,2,8,5]=>[2,8,6,5,3,7,1,4]=>0000000=>0000000 [3,1,5,2,7,8,6,4]=>[6,8,4,7,2,1,3,5]=>0000000=>0000000 [1,8,7,3,2,5,4,6]=>[8,1,2,6,7,4,5,3]=>0000000=>0000000 [1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000=>0000000 [2,7,4,1,8,6,3,5]=>[7,2,5,8,1,3,6,4]=>0000000=>0000000 [1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>0000000=>0000000 [4,1,8,6,2,3,7,5]=>[5,8,1,3,7,6,2,4]=>0000000=>0000000 [1,7,6,4,3,8,5,2]=>[8,2,3,5,6,1,4,7]=>0000000=>0000000 [1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>0000000=>0000000 [7,6,2,5,3,4,1,8]=>[2,3,7,4,6,5,8,1]=>0000000=>0000000 [7,6,2,4,5,3,1,8]=>[2,3,7,5,4,6,8,1]=>0000000=>0000000 [6,4,7,2,3,5,1,8]=>[3,5,2,7,6,4,8,1]=>0000000=>0000000 [7,6,2,4,3,5,1,8]=>[2,3,7,5,6,4,8,1]=>0000000=>0000000 [7,6,2,3,5,4,1,8]=>[2,3,7,6,4,5,8,1]=>0000000=>0000000 [4,6,3,2,8,1,7,5]=>[5,3,6,7,1,8,2,4]=>0000000=>0000000 [8,7,6,1,5,3,2,4]=>[1,2,3,8,4,6,7,5]=>1110000=>0000111 [7,8,4,3,1,5,6,2]=>[2,1,5,6,8,4,3,7]=>0100000=>0000010 [8,7,6,1,3,5,4,2]=>[1,2,3,8,6,4,5,7]=>1110000=>0000111 [8,7,6,1,5,4,2,3]=>[1,2,3,8,4,5,7,6]=>1110000=>0000111 [5,3,7,2,8,1,6,4]=>[4,6,2,7,1,8,3,5]=>0000000=>0000000 [4,5,3,8,2,1,6,7]=>[5,4,6,1,7,8,3,2]=>0000000=>0000000 [8,3,5,4,2,1,6,7]=>[1,6,4,5,7,8,3,2]=>1000000=>0000001 [7,8,4,3,1,5,2,6]=>[2,1,5,6,8,4,7,3]=>0100000=>0000010 [8,7,6,1,2,5,3,4]=>[1,2,3,8,7,4,6,5]=>1110000=>0000111 [8,7,6,1,2,5,4,3]=>[1,2,3,8,7,4,5,6]=>1110000=>0000111 [8,7,6,1,4,2,5,3]=>[1,2,3,8,5,7,4,6]=>1110000=>0000111 [7,4,8,3,5,6,1,2]=>[2,5,1,6,4,3,8,7]=>0000010=>0100000 [7,5,8,4,6,2,1,3]=>[2,4,1,5,3,7,8,6]=>0000100=>0010000 [5,6,8,4,7,2,1,3]=>[4,3,1,5,2,7,8,6]=>0000100=>0010000 [4,3,2,7,8,6,1,5]=>[5,6,7,2,1,3,8,4]=>0000000=>0000000 [6,8,7,4,3,1,2,5]=>[3,1,2,5,6,8,7,4]=>0010000=>0000100 [5,6,8,4,7,3,1,2]=>[4,3,1,5,2,6,8,7]=>0000110=>0110000 [6,8,7,4,3,1,5,2]=>[3,1,2,5,6,8,4,7]=>0010000=>0000100 [8,1,7,4,3,2,5,6]=>[1,8,2,5,6,7,4,3]=>1000000=>0000001 [5,1,8,2,4,6,7,3]=>[4,8,1,7,5,3,2,6]=>0000000=>0000000 [4,8,1,5,7,6,3,2]=>[5,1,8,4,2,3,6,7]=>0000000=>0000000 [5,8,4,2,6,7,3,1]=>[4,1,5,7,3,2,6,8]=>0000001=>1000000 [1,4,3,2,8,5,7,6]=>[8,5,6,7,1,4,2,3]=>0000000=>0000000 [6,1,8,7,5,3,4,2]=>[3,8,1,2,4,6,5,7]=>0000000=>0000000 [6,1,8,7,5,4,2,3]=>[3,8,1,2,4,5,7,6]=>0000000=>0000000 [1,3,7,5,6,8,4,2]=>[8,6,2,4,3,1,5,7]=>0000000=>0000000 [3,5,2,4,7,6,8,1]=>[6,4,7,5,2,3,1,8]=>0000001=>1000000 [7,3,5,2,8,4,6,1]=>[2,6,4,7,1,5,3,8]=>0000001=>1000000 [3,2,5,7,4,6,8,1]=>[6,7,4,2,5,3,1,8]=>0000001=>1000000 [2,3,5,7,4,6,8,1]=>[7,6,4,2,5,3,1,8]=>0000001=>1000000 [3,8,6,2,5,1,4,7]=>[6,1,3,7,4,8,5,2]=>0000000=>0000000 [5,7,2,8,6,1,4,3]=>[4,2,7,1,3,8,5,6]=>0000000=>0000000 [6,2,8,7,4,1,3,5]=>[3,7,1,2,5,8,6,4]=>0000000=>0000000 [6,2,5,8,7,1,4,3]=>[3,7,4,1,2,8,5,6]=>0000000=>0000000 [2,4,8,6,5,1,3,7]=>[7,5,1,3,4,8,6,2]=>0000000=>0000000 [2,4,8,7,5,1,3,6]=>[7,5,1,2,4,8,6,3]=>0000000=>0000000 [3,5,7,6,1,8,4,2]=>[6,4,2,3,8,1,5,7]=>0000000=>0000000 [3,5,7,6,2,8,4,1]=>[6,4,2,3,7,1,5,8]=>0000001=>1000000 [2,5,7,6,1,8,3,4]=>[7,4,2,3,8,1,6,5]=>0000000=>0000000 [5,1,4,7,3,8,6,2]=>[4,8,5,2,6,1,3,7]=>0000000=>0000000 [1,3,8,7,2,5,4,6]=>[8,6,1,2,7,4,5,3]=>0000000=>0000000 [2,4,6,3,8,7,5,1]=>[7,5,3,6,1,2,4,8]=>0000001=>1000000 [2,5,3,8,7,6,4,1]=>[7,4,6,1,2,3,5,8]=>0000001=>1000000 [1,4,2,8,6,5,3,7]=>[8,5,7,1,3,4,6,2]=>0000000=>0000000 [1,5,3,2,8,7,6,4]=>[8,4,6,7,1,2,3,5]=>0000000=>0000000 [6,1,4,3,8,7,5,2]=>[3,8,5,6,1,2,4,7]=>0000000=>0000000 [6,2,4,1,8,7,5,3]=>[3,7,5,8,1,2,4,6]=>0000000=>0000000 [2,3,5,1,8,6,4,7]=>[7,6,4,8,1,3,5,2]=>0000000=>0000000 [3,4,1,8,7,5,2,6]=>[6,5,8,1,2,4,7,3]=>0000000=>0000000 [4,5,2,8,7,6,3,1]=>[5,4,7,1,2,3,6,8]=>0000001=>1000000 [6,4,1,8,7,5,2,3]=>[3,5,8,1,2,4,7,6]=>0000000=>0000000 [6,3,1,8,7,4,2,5]=>[3,6,8,1,2,5,7,4]=>0000000=>0000000 [4,2,5,1,8,6,3,7]=>[5,7,4,8,1,3,6,2]=>0000000=>0000000 [3,6,2,8,1,7,4,5]=>[6,3,7,1,8,2,5,4]=>0000000=>0000000 [4,2,8,5,1,7,3,6]=>[5,7,1,4,8,2,6,3]=>0000000=>0000000 [5,3,6,2,8,7,4,1]=>[4,6,3,7,1,2,5,8]=>0000001=>1000000 [5,8,3,1,7,6,4,2]=>[4,1,6,8,2,3,5,7]=>0000000=>0000000 [6,3,5,2,1,8,7,4]=>[3,6,4,7,8,1,2,5]=>0000000=>0000000 [2,8,4,1,3,7,6,5]=>[7,1,5,8,6,2,3,4]=>0000000=>0000000 [4,8,7,1,3,6,5,2]=>[5,1,2,8,6,3,4,7]=>0000000=>0000000 [3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>0000000=>0000000 [4,2,7,3,8,6,5,1]=>[5,7,2,6,1,3,4,8]=>0000001=>1000000 [3,1,8,6,2,5,4,7]=>[6,8,1,3,7,4,5,2]=>0000000=>0000000 [2,7,1,8,3,6,5,4]=>[7,2,8,1,6,3,4,5]=>0000000=>0000000 [5,2,1,7,4,8,6,3]=>[4,7,8,2,5,1,3,6]=>0000000=>0000000 [6,2,3,8,7,5,4,1]=>[3,7,6,1,2,4,5,8]=>0000001=>1000000 [5,2,3,8,7,6,4,1]=>[4,7,6,1,2,3,5,8]=>0000001=>1000000 [4,1,2,8,6,5,3,7]=>[5,8,7,1,3,4,6,2]=>0000000=>0000000 [2,8,1,3,7,6,4,5]=>[7,1,8,6,2,3,5,4]=>0000000=>0000000 [4,1,3,5,8,7,6,2]=>[5,8,6,4,1,2,3,7]=>0000000=>0000000 [5,2,8,3,6,4,1,7]=>[4,7,1,6,3,5,8,2]=>0000000=>0000000 [8,2,5,4,1,6,3,7]=>[1,7,4,5,8,3,6,2]=>1000000=>0000001 [1,3,5,4,8,6,2,7]=>[8,6,4,5,1,3,7,2]=>0000000=>0000000 [6,2,4,3,8,5,1,7]=>[3,7,5,6,1,4,8,2]=>0000000=>0000000 [4,2,5,3,8,6,1,7]=>[5,7,4,6,1,3,8,2]=>0000000=>0000000 [6,2,4,3,1,7,5,8]=>[3,7,5,6,8,2,4,1]=>0000000=>0000000 [7,2,4,3,1,6,5,8]=>[2,7,5,6,8,3,4,1]=>0000000=>0000000 [7,2,5,3,1,6,4,8]=>[2,7,4,6,8,3,5,1]=>0000000=>0000000 [6,2,7,3,1,5,4,8]=>[3,7,2,6,8,4,5,1]=>0000000=>0000000 [8,4,1,3,7,5,2,6]=>[1,5,8,6,2,4,7,3]=>1000000=>0000001 [3,2,8,5,1,6,4,7]=>[6,7,1,4,8,3,5,2]=>0000000=>0000000 [7,4,6,2,5,8,1,3]=>[2,5,3,7,4,1,8,6]=>0000000=>0000000 [5,7,1,2,6,4,3,8]=>[4,2,8,7,3,5,6,1]=>0000000=>0000000 [1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000=>0000000 [5,8,2,7,1,4,3,6]=>[4,1,7,2,8,5,6,3]=>0000000=>0000000 [7,3,6,4,1,2,8,5]=>[2,6,3,5,8,7,1,4]=>0000000=>0000000 [3,8,5,1,2,6,4,7]=>[6,1,4,8,7,3,5,2]=>0000000=>0000000 [2,7,1,5,6,4,3,8]=>[7,2,8,4,3,5,6,1]=>0000000=>0000000 [6,4,5,8,7,3,2,1]=>[3,5,4,1,2,6,7,8]=>0000111=>1110000 [1,7,6,3,2,4,8,5]=>[8,2,3,6,7,5,1,4]=>0000000=>0000000 [2,7,8,6,4,1,5,3]=>[7,2,1,3,5,8,4,6]=>0000000=>0000000 [1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>0000000=>0000000 [1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>0000000=>0000000 [1,7,2,8,6,3,5,4]=>[8,2,7,1,3,6,4,5]=>0000000=>0000000 [6,5,7,3,1,2,8,4]=>[3,4,2,6,8,7,1,5]=>0000000=>0000000 [3,8,2,4,1,7,6,5]=>[6,1,7,5,8,2,3,4]=>0000000=>0000000 [8,3,5,2,6,1,4,7]=>[1,6,4,7,3,8,5,2]=>1000000=>0000001 [6,5,3,1,2,8,7,4]=>[3,4,6,8,7,1,2,5]=>0000000=>0000000 [8,2,4,6,1,5,7,3]=>[1,7,5,3,8,4,2,6]=>1000000=>0000001 [1,8,5,6,2,7,4,3]=>[8,1,4,3,7,2,5,6]=>0000000=>0000000 [3,8,2,4,1,5,6,7]=>[6,1,7,5,8,4,3,2]=>0000000=>0000000 [4,2,7,6,1,8,5,3]=>[5,7,2,3,8,1,4,6]=>0000000=>0000000 [7,3,2,1,8,5,4,6]=>[2,6,7,8,1,4,5,3]=>0000000=>0000000 [3,5,2,1,8,4,7,6]=>[6,4,7,8,1,5,2,3]=>0000000=>0000000 [6,7,2,4,3,5,8,1]=>[3,2,7,5,6,4,1,8]=>0000001=>1000000 [3,6,7,4,2,5,1,8]=>[6,3,2,5,7,4,8,1]=>0000000=>0000000 [4,5,3,7,2,1,6,8]=>[5,4,6,2,7,8,3,1]=>0000000=>0000000 [5,4,3,8,2,1,6,7]=>[4,5,6,1,7,8,3,2]=>0000000=>0000000 [4,3,8,2,1,5,7,6]=>[5,6,1,7,8,4,2,3]=>0000000=>0000000 [4,3,2,8,1,6,7,5]=>[5,6,7,1,8,3,2,4]=>0000000=>0000000 [4,5,8,3,2,7,1,6]=>[5,4,1,6,7,2,8,3]=>0000000=>0000000 [5,8,3,4,7,2,1,6]=>[4,1,6,5,2,7,8,3]=>0000000=>0000000 [5,3,6,2,1,7,8,4]=>[4,6,3,7,8,2,1,5]=>0000000=>0000000 [3,6,7,4,8,2,1,5]=>[6,3,2,5,1,7,8,4]=>0000000=>0000000 [5,4,7,8,2,3,6,1]=>[4,5,2,1,7,6,3,8]=>0000001=>1000000 [4,3,2,8,1,5,7,6]=>[5,6,7,1,8,4,2,3]=>0000000=>0000000 [3,6,7,4,5,2,8,1]=>[6,3,2,5,4,7,1,8]=>0000001=>1000000 [4,6,7,2,5,3,8,1]=>[5,3,2,7,4,6,1,8]=>0000001=>1000000 [6,1,3,5,7,8,4,2]=>[3,8,6,4,2,1,5,7]=>0000000=>0000000 [1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>0000000=>0000000 [7,5,2,1,8,4,6,3]=>[2,4,7,8,1,5,3,6]=>0000000=>0000000 [8,5,2,7,6,4,1,3]=>[1,4,7,2,3,5,8,6]=>1000000=>0000001 [3,1,8,6,5,2,7,4]=>[6,8,1,3,4,7,2,5]=>0000000=>0000000 [2,3,7,6,5,8,1,4]=>[7,6,2,3,4,1,8,5]=>0000000=>0000000 [1,8,2,6,4,5,7,3]=>[8,1,7,3,5,4,2,6]=>0000000=>0000000 [7,1,2,5,6,4,8,3]=>[2,8,7,4,3,5,1,6]=>0000000=>0000000 [3,2,7,6,5,8,1,4]=>[6,7,2,3,4,1,8,5]=>0000000=>0000000 [5,7,2,1,3,6,8,4]=>[4,2,7,8,6,3,1,5]=>0000000=>0000000 [3,6,2,1,4,7,8,5]=>[6,3,7,8,5,2,1,4]=>0000000=>0000000 [8,2,6,5,7,3,4,1]=>[1,7,3,4,2,6,5,8]=>1000001=>1000001 [8,3,7,1,5,4,6,2]=>[1,6,2,8,4,5,3,7]=>1000000=>0000001 [6,2,5,1,4,7,3,8]=>[3,7,4,8,5,2,6,1]=>0000000=>0000000 [7,5,2,4,1,8,6,3]=>[2,4,7,5,8,1,3,6]=>0000000=>0000000 [6,5,1,2,4,7,8,3]=>[3,4,8,7,5,2,1,6]=>0000000=>0000000 [7,1,8,2,4,6,3,5]=>[2,8,1,7,5,3,6,4]=>0000000=>0000000 [5,1,6,3,4,8,2,7]=>[4,8,3,6,5,1,7,2]=>0000000=>0000000 [4,3,7,2,1,8,5,6]=>[5,6,2,7,8,1,4,3]=>0000000=>0000000 [4,7,3,8,6,2,5,1]=>[5,2,6,1,3,7,4,8]=>0000001=>1000000 [8,3,7,2,4,6,5,1]=>[1,6,2,7,5,3,4,8]=>1000001=>1000001 [8,7,2,4,6,3,5,1]=>[1,2,7,5,3,6,4,8]=>1100001=>1000011 [1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000=>0000000 [6,2,5,1,4,7,8,3]=>[3,7,4,8,5,2,1,6]=>0000000=>0000000 [6,2,5,8,7,4,1,3]=>[3,7,4,1,2,5,8,6]=>0000000=>0000000 [6,3,4,1,8,7,2,5]=>[3,6,5,8,1,2,7,4]=>0000000=>0000000 [4,7,3,2,5,8,1,6]=>[5,2,6,7,4,1,8,3]=>0000000=>0000000 [7,5,6,1,8,3,2,4]=>[2,4,3,8,1,6,7,5]=>0000000=>0000000 [5,3,4,7,1,6,2,8]=>[4,6,5,2,8,3,7,1]=>0000000=>0000000 [4,3,7,1,6,5,2,8]=>[5,6,2,8,3,4,7,1]=>0000000=>0000000 [8,6,3,2,5,4,1,7]=>[1,3,6,7,4,5,8,2]=>1000000=>0000001 [3,6,8,7,1,5,2,4]=>[6,3,1,2,8,4,7,5]=>0000000=>0000000 [8,5,4,7,2,6,3,1]=>[1,4,5,2,7,3,6,8]=>1000001=>1000001 [5,4,8,6,1,3,2,7]=>[4,5,1,3,8,6,7,2]=>0000000=>0000000 [7,8,1,3,6,4,2,5]=>[2,1,8,6,3,5,7,4]=>0100000=>0000010 [5,3,8,6,1,4,2,7]=>[4,6,1,3,8,5,7,2]=>0000000=>0000000 [4,3,8,2,7,5,1,6]=>[5,6,1,7,2,4,8,3]=>0000000=>0000000 [4,5,7,8,3,2,1,6]=>[5,4,2,1,6,7,8,3]=>0000000=>0000000 [5,6,1,3,2,4,8,7]=>[4,3,8,6,7,5,1,2]=>0000000=>0000000 [4,3,6,1,2,5,8,7]=>[5,6,3,8,7,4,1,2]=>0000000=>0000000 [1,4,3,2,6,8,5,7]=>[8,5,6,7,3,1,4,2]=>0000000=>0000000 [5,4,3,7,2,6,8,1]=>[4,5,6,2,7,3,1,8]=>0000001=>1000000 [5,4,8,3,7,2,1,6]=>[4,5,1,6,2,7,8,3]=>0000000=>0000000 [5,4,8,3,2,7,1,6]=>[4,5,1,6,7,2,8,3]=>0000000=>0000000 [5,4,3,7,2,1,6,8]=>[4,5,6,2,7,8,3,1]=>0000000=>0000000 [5,4,3,7,8,2,6,1]=>[4,5,6,2,1,7,3,8]=>0000001=>1000000 [5,4,3,8,2,6,7,1]=>[4,5,6,1,7,3,2,8]=>0000001=>1000000 [5,4,3,7,8,2,1,6]=>[4,5,6,2,1,7,8,3]=>0000000=>0000000 [5,4,3,8,2,6,1,7]=>[4,5,6,1,7,3,8,2]=>0000000=>0000000 [6,8,5,7,3,4,2,1]=>[3,1,4,2,6,5,7,8]=>0001011=>1101000 [2,4,1,8,7,6,3,5]=>[7,5,8,1,2,3,6,4]=>0000000=>0000000 [1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>0000000=>0000000 [8,5,4,7,6,1,3,2]=>[1,4,5,2,3,8,6,7]=>1000100=>0010001 [4,1,3,5,6,2,8,7]=>[5,8,6,4,3,7,1,2]=>0000000=>0000000 [8,2,4,6,1,3,7,5]=>[1,7,5,3,8,6,2,4]=>1000000=>0000001 [5,3,6,2,1,8,4,7]=>[4,6,3,7,8,1,5,2]=>0000000=>0000000 [3,1,6,8,2,7,5,4]=>[6,8,3,1,7,2,4,5]=>0000000=>0000000 [8,3,4,5,1,6,7,2]=>[1,6,5,4,8,3,2,7]=>1000000=>0000001 [2,7,5,1,8,6,4,3]=>[7,2,4,8,1,3,5,6]=>0000000=>0000000 [7,3,2,5,1,8,6,4]=>[2,6,7,4,8,1,3,5]=>0000000=>0000000 [6,4,2,7,5,1,8,3]=>[3,5,7,2,4,8,1,6]=>0000000=>0000000 [4,8,3,2,6,5,1,7]=>[5,1,6,7,3,4,8,2]=>0000000=>0000000 [8,4,3,2,7,5,1,6]=>[1,5,6,7,2,4,8,3]=>1000000=>0000001 [8,6,5,3,1,7,4,2]=>[1,3,4,6,8,2,5,7]=>1000000=>0000001 [7,5,2,8,4,3,1,6]=>[2,4,7,1,5,6,8,3]=>0000000=>0000000 [4,6,2,1,5,7,3,8]=>[5,3,7,8,4,2,6,1]=>0000000=>0000000 [6,4,2,7,8,3,1,5]=>[3,5,7,2,1,6,8,4]=>0000000=>0000000 [8,3,5,6,1,4,7,2]=>[1,6,4,3,8,5,2,7]=>1000000=>0000001 [5,6,4,8,2,1,3,7]=>[4,3,5,1,7,8,6,2]=>0000000=>0000000 [5,6,3,8,1,2,4,7]=>[4,3,6,1,8,7,5,2]=>0000000=>0000000 [8,1,5,3,2,4,7,6]=>[1,8,4,6,7,5,2,3]=>1000000=>0000001 [7,3,8,2,4,1,6,5]=>[2,6,1,7,5,8,3,4]=>0000000=>0000000 [1,3,8,6,4,2,7,5]=>[8,6,1,3,5,7,2,4]=>0000000=>0000000 [1,3,5,8,4,2,7,6]=>[8,6,4,1,5,7,2,3]=>0000000=>0000000 [1,3,8,4,5,2,7,6]=>[8,6,1,5,4,7,2,3]=>0000000=>0000000 [8,4,6,3,5,7,2,1]=>[1,5,3,6,4,2,7,8]=>1000011=>1100001 [2,8,4,7,3,1,6,5]=>[7,1,5,2,6,8,3,4]=>0000000=>0000000 [1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>0000000=>0000000 [6,5,2,8,4,1,7,3]=>[3,4,7,1,5,8,2,6]=>0000000=>0000000 [8,6,3,5,7,2,4,1]=>[1,3,6,4,2,7,5,8]=>1000001=>1000001 [1,7,6,8,3,5,2,4]=>[8,2,3,1,6,4,7,5]=>0000000=>0000000 [1,4,8,3,5,7,2,6]=>[8,5,1,6,4,2,7,3]=>0000000=>0000000 [3,7,2,6,1,8,5,4]=>[6,2,7,3,8,1,4,5]=>0000000=>0000000 [1,8,5,3,7,4,2,6]=>[8,1,4,6,2,5,7,3]=>0000000=>0000000 [8,3,5,1,6,7,4,2]=>[1,6,4,8,3,2,5,7]=>1000000=>0000001 [2,1,8,6,3,7,5,4]=>[7,8,1,3,6,2,4,5]=>0000000=>0000000 [1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>0000000=>0000000 [1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>0000000=>0000000 [1,6,2,8,7,4,3,5]=>[8,3,7,1,2,5,6,4]=>0000000=>0000000 [1,3,5,8,7,6,2,4]=>[8,6,4,1,2,3,7,5]=>0000000=>0000000 [1,2,5,7,4,3,8,6]=>[8,7,4,2,5,6,1,3]=>0000000=>0000000 [1,5,8,6,3,2,7,4]=>[8,4,1,3,6,7,2,5]=>0000000=>0000000 [6,1,3,4,7,2,8,5]=>[3,8,6,5,2,7,1,4]=>0000000=>0000000 [6,3,4,7,2,1,5,8]=>[3,6,5,2,7,8,4,1]=>0000000=>0000000 [8,6,3,1,7,2,5,4]=>[1,3,6,8,2,7,4,5]=>1000000=>0000001 [8,1,4,7,2,3,5,6]=>[1,8,5,2,7,6,4,3]=>1000000=>0000001 [3,2,7,1,5,6,8,4]=>[6,7,2,8,4,3,1,5]=>0000000=>0000000 [8,7,2,6,3,1,4,5]=>[1,2,7,3,6,8,5,4]=>1100000=>0000011 [6,5,2,4,7,1,8,3]=>[3,4,7,5,2,8,1,6]=>0000000=>0000000 [8,7,1,6,4,5,2,3]=>[1,2,8,3,5,4,7,6]=>1100000=>0000011 [8,3,4,7,6,2,1,5]=>[1,6,5,2,3,7,8,4]=>1000000=>0000001 [8,4,5,7,1,3,2,6]=>[1,5,4,2,8,6,7,3]=>1000000=>0000001 [4,3,6,5,8,2,1,7]=>[5,6,3,4,1,7,8,2]=>0000000=>0000000 [7,4,6,1,8,3,2,5]=>[2,5,3,8,1,6,7,4]=>0000000=>0000000 [3,8,7,2,5,6,1,4]=>[6,1,2,7,4,3,8,5]=>0000000=>0000000 [7,3,6,2,5,8,1,4]=>[2,6,3,7,4,1,8,5]=>0000000=>0000000 [7,4,2,1,6,8,3,5]=>[2,5,7,8,3,1,6,4]=>0000000=>0000000 [8,3,6,2,5,7,1,4]=>[1,6,3,7,4,2,8,5]=>1000000=>0000001 [3,7,8,2,5,6,1,4]=>[6,2,1,7,4,3,8,5]=>0000000=>0000000 [7,5,1,4,2,3,6,8]=>[2,4,8,5,7,6,3,1]=>0000000=>0000000 [7,8,6,1,2,4,5,3]=>[2,1,3,8,7,5,4,6]=>0110000=>0000110 [5,1,7,8,6,2,3,4]=>[4,8,2,1,3,7,6,5]=>0000000=>0000000 [8,5,1,6,7,2,3,4]=>[1,4,8,3,2,7,6,5]=>1000000=>0000001 [8,5,1,2,4,6,7,3]=>[1,4,8,7,5,3,2,6]=>1000000=>0000001 [7,5,1,2,4,6,8,3]=>[2,4,8,7,5,3,1,6]=>0000000=>0000000 [7,1,2,6,4,5,8,3]=>[2,8,7,3,5,4,1,6]=>0000000=>0000000 [1,7,3,6,4,5,8,2]=>[8,2,6,3,5,4,1,7]=>0000000=>0000000 [7,1,6,2,5,3,4,8]=>[2,8,3,7,4,6,5,1]=>0000000=>0000000 [8,1,6,4,2,3,5,7]=>[1,8,3,5,7,6,4,2]=>1000000=>0000001 [8,3,1,2,4,6,7,5]=>[1,6,8,7,5,3,2,4]=>1000000=>0000001 [6,1,8,4,2,3,5,7]=>[3,8,1,5,7,6,4,2]=>0000000=>0000000 [5,1,8,2,6,3,4,7]=>[4,8,1,7,3,6,5,2]=>0000000=>0000000 [1,6,3,8,4,5,7,2]=>[8,3,6,1,5,4,2,7]=>0000000=>0000000 [1,6,3,7,4,5,8,2]=>[8,3,6,2,5,4,1,7]=>0000000=>0000000 [2,5,8,4,6,3,1,7]=>[7,4,1,5,3,6,8,2]=>0000000=>0000000 [2,3,8,6,5,4,1,7]=>[7,6,1,3,4,5,8,2]=>0000000=>0000000 [5,4,7,8,1,3,2,6]=>[4,5,2,1,8,6,7,3]=>0000000=>0000000 [3,6,8,5,4,1,7,2]=>[6,3,1,4,5,8,2,7]=>0000000=>0000000 [2,4,7,1,6,8,3,5]=>[7,5,2,8,3,1,6,4]=>0000000=>0000000 [2,4,8,3,1,7,6,5]=>[7,5,1,6,8,2,3,4]=>0000000=>0000000 [6,3,7,4,1,2,5,8]=>[3,6,2,5,8,7,4,1]=>0000000=>0000000 [5,3,6,4,7,1,2,8]=>[4,6,3,5,2,8,7,1]=>0000000=>0000000 [6,5,4,8,1,3,2,7]=>[3,4,5,1,8,6,7,2]=>0000000=>0000000 [6,5,1,4,8,3,2,7]=>[3,4,8,5,1,6,7,2]=>0000000=>0000000 [8,7,6,3,1,2,5,4]=>[1,2,3,6,8,7,4,5]=>1110000=>0000111 [2,7,3,6,1,5,8,4]=>[7,2,6,3,8,4,1,5]=>0000000=>0000000 [7,3,8,4,2,5,1,6]=>[2,6,1,5,7,4,8,3]=>0000000=>0000000 [7,3,8,4,2,5,6,1]=>[2,6,1,5,7,4,3,8]=>0000001=>1000000 [8,7,5,1,4,2,6,3]=>[1,2,4,8,5,7,3,6]=>1100000=>0000011 [8,7,1,4,3,2,6,5]=>[1,2,8,5,6,7,3,4]=>1100000=>0000011 [8,7,6,3,1,4,5,2]=>[1,2,3,6,8,5,4,7]=>1110000=>0000111 [4,3,7,5,2,1,6,8]=>[5,6,2,4,7,8,3,1]=>0000000=>0000000 [2,5,4,7,8,1,3,6]=>[7,4,5,2,1,8,6,3]=>0000000=>0000000 [2,1,6,3,5,7,8,4]=>[7,8,3,6,4,2,1,5]=>0000000=>0000000 [5,6,2,1,4,3,7,8]=>[4,3,7,8,5,6,2,1]=>0000000=>0000000 [4,8,2,1,5,7,6,3]=>[5,1,7,8,4,2,3,6]=>0000000=>0000000 [8,2,1,4,5,7,6,3]=>[1,7,8,5,4,2,3,6]=>1000000=>0000001 [4,8,5,6,2,1,3,7]=>[5,1,4,3,7,8,6,2]=>0000000=>0000000 [4,6,2,5,7,3,8,1]=>[5,3,7,4,2,6,1,8]=>0000001=>1000000 [4,2,5,7,8,3,6,1]=>[5,7,4,2,1,6,3,8]=>0000001=>1000000 [8,2,6,3,1,5,7,4]=>[1,7,3,6,8,4,2,5]=>1000000=>0000001 [5,7,3,6,8,4,1,2]=>[4,2,6,3,1,5,8,7]=>0000010=>0100000 [6,5,2,4,3,1,7,8]=>[3,4,7,5,6,8,2,1]=>0000000=>0000000 [5,7,4,2,3,8,6,1]=>[4,2,5,7,6,1,3,8]=>0000001=>1000000 [8,5,7,6,1,2,4,3]=>[1,4,2,3,8,7,5,6]=>1001000=>0001001 [5,7,6,8,4,1,3,2]=>[4,2,3,1,5,8,6,7]=>0001100=>0011000 [5,3,1,7,4,8,6,2]=>[4,6,8,2,5,1,3,7]=>0000000=>0000000 [3,5,2,8,4,7,1,6]=>[6,4,7,1,5,2,8,3]=>0000000=>0000000 [6,4,8,3,7,2,1,5]=>[3,5,1,6,2,7,8,4]=>0000000=>0000000 [6,8,4,2,7,3,1,5]=>[3,1,5,7,2,6,8,4]=>0000000=>0000000 [5,7,2,4,3,6,8,1]=>[4,2,7,5,6,3,1,8]=>0000001=>1000000 [4,7,3,2,5,6,8,1]=>[5,2,6,7,4,3,1,8]=>0000001=>1000000 [1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>0000000=>0000000 [4,3,7,8,1,5,2,6]=>[5,6,2,1,8,4,7,3]=>0000000=>0000000 [2,3,7,6,1,8,5,4]=>[7,6,2,3,8,1,4,5]=>0000000=>0000000 [8,3,1,6,2,7,5,4]=>[1,6,8,3,7,2,4,5]=>1000000=>0000001 [5,6,2,8,4,1,3,7]=>[4,3,7,1,5,8,6,2]=>0000000=>0000000 [3,2,6,7,1,5,8,4]=>[6,7,3,2,8,4,1,5]=>0000000=>0000000 [1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000=>0000000 [1,8,4,7,5,2,6,3]=>[8,1,5,2,4,7,3,6]=>0000000=>0000000 [1,4,6,3,2,8,7,5]=>[8,5,3,6,7,1,2,4]=>0000000=>0000000 [6,4,7,1,5,3,8,2]=>[3,5,2,8,4,6,1,7]=>0000000=>0000000 [5,3,8,2,6,4,7,1]=>[4,6,1,7,3,5,2,8]=>0000001=>1000000 [4,3,8,2,6,5,7,1]=>[5,6,1,7,3,4,2,8]=>0000001=>1000000 [2,6,1,8,3,4,7,5]=>[7,3,8,1,6,5,2,4]=>0000000=>0000000 [1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>0000000=>0000000 [6,5,7,1,4,3,8,2]=>[3,4,2,8,5,6,1,7]=>0000000=>0000000 [7,1,8,2,3,4,6,5]=>[2,8,1,7,6,5,3,4]=>0000000=>0000000 [4,8,3,5,7,6,1,2]=>[5,1,6,4,2,3,8,7]=>0000010=>0100000 [5,7,6,1,2,4,8,3]=>[4,2,3,8,7,5,1,6]=>0000000=>0000000 [4,8,3,5,7,6,2,1]=>[5,1,6,4,2,3,7,8]=>0000011=>1100000 [3,4,2,1,8,5,7,6]=>[6,5,7,8,1,4,2,3]=>0000000=>0000000 [1,3,4,2,8,5,7,6]=>[8,6,5,7,1,4,2,3]=>0000000=>0000000 [7,5,1,8,4,2,3,6]=>[2,4,8,1,5,7,6,3]=>0000000=>0000000 [5,7,6,1,4,8,3,2]=>[4,2,3,8,5,1,6,7]=>0000000=>0000000 [2,5,3,1,8,4,7,6]=>[7,4,6,8,1,5,2,3]=>0000000=>0000000 [4,8,3,1,5,7,6,2]=>[5,1,6,8,4,2,3,7]=>0000000=>0000000 [5,7,6,2,4,8,3,1]=>[4,2,3,7,5,1,6,8]=>0000001=>1000000 [6,7,5,2,3,8,4,1]=>[3,2,4,7,6,1,5,8]=>0000001=>1000000 [2,3,1,4,8,5,7,6]=>[7,6,8,5,1,4,2,3]=>0000000=>0000000 [6,7,5,3,8,4,2,1]=>[3,2,4,6,1,5,7,8]=>0000011=>1100000 [3,2,1,4,8,5,7,6]=>[6,7,8,5,1,4,2,3]=>0000000=>0000000 [7,4,1,6,2,5,3,8]=>[2,5,8,3,7,4,6,1]=>0000000=>0000000 [6,5,1,4,2,7,3,8]=>[3,4,8,5,7,2,6,1]=>0000000=>0000000 [5,6,1,4,2,8,3,7]=>[4,3,8,5,7,1,6,2]=>0000000=>0000000 [5,4,1,8,3,7,2,6]=>[4,5,8,1,6,2,7,3]=>0000000=>0000000 [6,4,2,3,5,1,8,7]=>[3,5,7,6,4,8,1,2]=>0000000=>0000000 [6,4,2,8,5,3,7,1]=>[3,5,7,1,4,6,2,8]=>0000001=>1000000 [4,2,3,6,5,8,1,7]=>[5,7,6,3,4,1,8,2]=>0000000=>0000000 [6,4,2,3,5,8,1,7]=>[3,5,7,6,4,1,8,2]=>0000000=>0000000 [6,4,2,3,1,8,5,7]=>[3,5,7,6,8,1,4,2]=>0000000=>0000000 [8,6,2,1,4,3,7,5]=>[1,3,7,8,5,6,2,4]=>1000000=>0000001 [2,8,6,4,5,1,7,3]=>[7,1,3,5,4,8,2,6]=>0000000=>0000000 [8,2,4,6,7,1,5,3]=>[1,7,5,3,2,8,4,6]=>1000000=>0000001 [8,6,7,2,1,4,5,3]=>[1,3,2,7,8,5,4,6]=>1010000=>0000101 [2,8,6,7,4,1,5,3]=>[7,1,3,2,5,8,4,6]=>0000000=>0000000 [4,3,2,6,1,8,7,5]=>[5,6,7,3,8,1,2,4]=>0000000=>0000000 [3,6,1,2,5,8,7,4]=>[6,3,8,7,4,1,2,5]=>0000000=>0000000 [8,3,2,1,5,6,7,4]=>[1,6,7,8,4,3,2,5]=>1000000=>0000001 [7,2,6,3,5,8,1,4]=>[2,7,3,6,4,1,8,5]=>0000000=>0000000 [6,3,4,2,7,8,5,1]=>[3,6,5,7,2,1,4,8]=>0000001=>1000000 [8,7,4,5,1,6,3,2]=>[1,2,5,4,8,3,6,7]=>1100000=>0000011 [4,3,2,8,6,1,7,5]=>[5,6,7,1,3,8,2,4]=>0000000=>0000000 [7,2,8,1,3,4,6,5]=>[2,7,1,8,6,5,3,4]=>0000000=>0000000 [1,4,8,3,5,6,7,2]=>[8,5,1,6,4,3,2,7]=>0000000=>0000000 [8,5,7,2,3,6,4,1]=>[1,4,2,7,6,3,5,8]=>1000001=>1000001 [3,1,5,6,8,4,2,7]=>[6,8,4,3,1,5,7,2]=>0000000=>0000000 [7,6,3,2,1,8,4,5]=>[2,3,6,7,8,1,5,4]=>0000000=>0000000 [7,2,1,4,8,5,3,6]=>[2,7,8,5,1,4,6,3]=>0000000=>0000000 [7,1,3,6,4,5,8,2]=>[2,8,6,3,5,4,1,7]=>0000000=>0000000 [6,8,2,3,4,7,1,5]=>[3,1,7,6,5,2,8,4]=>0000000=>0000000 [6,2,1,3,4,7,8,5]=>[3,7,8,6,5,2,1,4]=>0000000=>0000000 [3,2,5,8,7,4,1,6]=>[6,7,4,1,2,5,8,3]=>0000000=>0000000 [4,2,5,8,7,3,1,6]=>[5,7,4,1,2,6,8,3]=>0000000=>0000000 [3,4,8,5,7,2,1,6]=>[6,5,1,4,2,7,8,3]=>0000000=>0000000 [5,1,3,2,6,8,7,4]=>[4,8,6,7,3,1,2,5]=>0000000=>0000000 [5,6,3,8,7,2,1,4]=>[4,3,6,1,2,7,8,5]=>0000000=>0000000 [1,6,2,4,8,5,7,3]=>[8,3,7,5,1,4,2,6]=>0000000=>0000000 [5,6,1,2,4,3,7,8]=>[4,3,8,7,5,6,2,1]=>0000000=>0000000 [1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>0000000=>0000000 [4,3,6,5,1,2,7,8]=>[5,6,3,4,8,7,2,1]=>0000000=>0000000 [8,2,1,7,5,4,6,3]=>[1,7,8,2,4,5,3,6]=>1000000=>0000001 [1,8,7,2,6,3,5,4]=>[8,1,2,7,3,6,4,5]=>0000000=>0000000 [8,7,3,4,1,2,6,5]=>[1,2,6,5,8,7,3,4]=>1100000=>0000011 [2,8,7,1,6,3,4,5]=>[7,1,2,8,3,6,5,4]=>0000000=>0000000 [4,1,8,7,6,5,2,3]=>[5,8,1,2,3,4,7,6]=>0000000=>0000000 [7,3,6,2,4,5,1,8]=>[2,6,3,7,5,4,8,1]=>0000000=>0000000 [6,8,7,2,4,5,1,3]=>[3,1,2,7,5,4,8,6]=>0010000=>0000100 [1,5,8,7,4,2,6,3]=>[8,4,1,2,5,7,3,6]=>0000000=>0000000 [4,6,5,3,2,8,1,7]=>[5,3,4,6,7,1,8,2]=>0000000=>0000000 [2,8,3,4,1,5,6,7]=>[7,1,6,5,8,4,3,2]=>0000000=>0000000 [2,6,4,3,5,8,1,7]=>[7,3,5,6,4,1,8,2]=>0000000=>0000000 [5,8,6,3,1,4,2,7]=>[4,1,3,6,8,5,7,2]=>0000000=>0000000 [5,7,3,8,4,2,6,1]=>[4,2,6,1,5,7,3,8]=>0000001=>1000000 [5,3,7,1,2,8,4,6]=>[4,6,2,8,7,1,5,3]=>0000000=>0000000 [3,8,4,6,1,5,2,7]=>[6,1,5,3,8,4,7,2]=>0000000=>0000000 [8,4,7,3,6,2,1,5]=>[1,5,2,6,3,7,8,4]=>1000000=>0000001 [6,5,1,4,2,7,8,3]=>[3,4,8,5,7,2,1,6]=>0000000=>0000000 [8,1,3,6,7,5,2,4]=>[1,8,6,3,2,4,7,5]=>1000000=>0000001 [3,8,5,2,1,4,7,6]=>[6,1,4,7,8,5,2,3]=>0000000=>0000000 [3,1,5,6,8,4,7,2]=>[6,8,4,3,1,5,2,7]=>0000000=>0000000 [2,3,6,8,1,7,5,4]=>[7,6,3,1,8,2,4,5]=>0000000=>0000000 [6,1,3,8,4,2,5,7]=>[3,8,6,1,5,7,4,2]=>0000000=>0000000 [8,7,6,4,2,1,5,3]=>[1,2,3,5,7,8,4,6]=>1110000=>0000111 [3,5,8,1,4,7,2,6]=>[6,4,1,8,5,2,7,3]=>0000000=>0000000 [8,3,6,7,1,5,2,4]=>[1,6,3,2,8,4,7,5]=>1000000=>0000001 [4,5,3,1,8,7,2,6]=>[5,4,6,8,1,2,7,3]=>0000000=>0000000 [8,3,5,2,7,1,6,4]=>[1,6,4,7,2,8,3,5]=>1000000=>0000001 [5,8,3,2,4,7,6,1]=>[4,1,6,7,5,2,3,8]=>0000001=>1000000 [5,8,2,1,3,4,7,6]=>[4,1,7,8,6,5,2,3]=>0000000=>0000000 [2,8,7,3,4,1,6,5]=>[7,1,2,6,5,8,3,4]=>0000000=>0000000 [3,4,7,1,2,8,6,5]=>[6,5,2,8,7,1,3,4]=>0000000=>0000000 [4,5,8,3,6,1,2,7]=>[5,4,1,6,3,8,7,2]=>0000000=>0000000 [1,6,3,4,7,8,5,2]=>[8,3,6,5,2,1,4,7]=>0000000=>0000000 [4,1,5,8,6,2,3,7]=>[5,8,4,1,3,7,6,2]=>0000000=>0000000 [5,8,2,1,6,3,4,7]=>[4,1,7,8,3,6,5,2]=>0000000=>0000000 [1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>0000000=>0000000 [3,5,1,4,6,2,7,8]=>[6,4,8,5,3,7,2,1]=>0000000=>0000000 [7,5,1,8,3,6,2,4]=>[2,4,8,1,6,3,7,5]=>0000000=>0000000 [8,1,5,6,3,7,4,2]=>[1,8,4,3,6,2,5,7]=>1000000=>0000001 [7,2,3,5,1,4,6,8]=>[2,7,6,4,8,5,3,1]=>0000000=>0000000 [8,1,5,4,7,3,6,2]=>[1,8,4,5,2,6,3,7]=>1000000=>0000001 [7,6,5,4,1,8,2,3]=>[2,3,4,5,8,1,7,6]=>0000000=>0000000 [8,6,3,5,4,1,2,7]=>[1,3,6,4,5,8,7,2]=>1000000=>0000001 [8,5,1,7,4,3,6,2]=>[1,4,8,2,5,6,3,7]=>1000000=>0000001 [8,5,7,6,2,1,3,4]=>[1,4,2,3,7,8,6,5]=>1001000=>0001001 [4,8,1,7,6,5,2,3]=>[5,1,8,2,3,4,7,6]=>0000000=>0000000 [3,8,7,2,6,4,1,5]=>[6,1,2,7,3,5,8,4]=>0000000=>0000000 [8,2,7,6,4,1,5,3]=>[1,7,2,3,5,8,4,6]=>1000000=>0000001 [8,3,7,5,4,1,6,2]=>[1,6,2,4,5,8,3,7]=>1000000=>0000001 [2,5,4,8,3,1,7,6]=>[7,4,5,1,6,8,2,3]=>0000000=>0000000 [5,4,8,2,1,3,7,6]=>[4,5,1,7,8,6,2,3]=>0000000=>0000000 [8,1,2,7,6,5,4,3]=>[1,8,7,2,3,4,5,6]=>1000000=>0000001 [7,8,1,3,6,4,5,2]=>[2,1,8,6,3,5,4,7]=>0100000=>0000010 [7,2,6,8,4,5,3,1]=>[2,7,3,1,5,4,6,8]=>0000001=>1000000 [7,3,6,8,5,1,4,2]=>[2,6,3,1,4,8,5,7]=>0000000=>0000000 [7,5,8,1,6,2,4,3]=>[2,4,1,8,3,7,5,6]=>0000000=>0000000 [5,7,8,1,6,3,2,4]=>[4,2,1,8,3,6,7,5]=>0000000=>0000000 [7,2,6,8,5,1,4,3]=>[2,7,3,1,4,8,5,6]=>0000000=>0000000 [6,7,8,3,5,4,2,1]=>[3,2,1,6,4,5,7,8]=>0010011=>1100100 [6,7,8,4,2,1,5,3]=>[3,2,1,5,7,8,4,6]=>0010000=>0000100 [7,2,6,8,4,3,1,5]=>[2,7,3,1,5,6,8,4]=>0000000=>0000000 [5,6,2,4,3,8,1,7]=>[4,3,7,5,6,1,8,2]=>0000000=>0000000 [7,8,3,1,6,2,5,4]=>[2,1,6,8,3,7,4,5]=>0100000=>0000010 [6,7,8,4,3,1,5,2]=>[3,2,1,5,6,8,4,7]=>0010000=>0000100 [7,8,2,6,3,5,4,1]=>[2,1,7,3,6,4,5,8]=>0100001=>1000010 [7,8,3,6,4,1,5,2]=>[2,1,6,3,5,8,4,7]=>0100000=>0000010 [6,1,5,2,4,8,3,7]=>[3,8,4,7,5,1,6,2]=>0000000=>0000000 [1,5,6,3,8,2,4,7]=>[8,4,3,6,1,7,5,2]=>0000000=>0000000 [7,3,8,1,6,4,5,2]=>[2,6,1,8,3,5,4,7]=>0000000=>0000000 [7,2,6,8,4,3,5,1]=>[2,7,3,1,5,6,4,8]=>0000001=>1000000 [7,5,2,4,8,3,6,1]=>[2,4,7,5,1,6,3,8]=>0000001=>1000000 [1,7,5,8,2,4,6,3]=>[8,2,4,1,7,5,3,6]=>0000000=>0000000 [7,5,2,8,1,4,6,3]=>[2,4,7,1,8,5,3,6]=>0000000=>0000000 [3,7,8,2,6,5,1,4]=>[6,2,1,7,3,4,8,5]=>0000000=>0000000 [3,7,8,2,1,6,4,5]=>[6,2,1,7,8,3,5,4]=>0000000=>0000000 [7,2,8,1,6,4,3,5]=>[2,7,1,8,3,5,6,4]=>0000000=>0000000 [7,8,1,6,3,5,4,2]=>[2,1,8,3,6,4,5,7]=>0100000=>0000010 [6,7,8,3,2,5,4,1]=>[3,2,1,6,7,4,5,8]=>0010001=>1000100 [6,7,8,2,5,4,3,1]=>[3,2,1,7,4,5,6,8]=>0010001=>1000100 [6,7,8,3,1,5,4,2]=>[3,2,1,6,8,4,5,7]=>0010000=>0000100 [7,8,1,6,2,5,4,3]=>[2,1,8,3,7,4,5,6]=>0100000=>0000010 [5,6,1,4,3,8,2,7]=>[4,3,8,5,6,1,7,2]=>0000000=>0000000 [3,6,4,2,5,1,7,8]=>[6,3,5,7,4,8,2,1]=>0000000=>0000000 [6,2,4,8,3,5,1,7]=>[3,7,5,1,6,4,8,2]=>0000000=>0000000 [8,1,5,6,4,2,3,7]=>[1,8,4,3,5,7,6,2]=>1000000=>0000001 [5,7,8,1,4,3,2,6]=>[4,2,1,8,5,6,7,3]=>0000000=>0000000 [8,7,1,3,5,4,2,6]=>[1,2,8,6,4,5,7,3]=>1100000=>0000011 [1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000=>0000000 [4,3,1,8,6,2,7,5]=>[5,6,8,1,3,7,2,4]=>0000000=>0000000 [1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>0000000=>0000000 [5,3,1,8,6,2,4,7]=>[4,6,8,1,3,7,5,2]=>0000000=>0000000 [7,2,8,1,4,3,6,5]=>[2,7,1,8,5,6,3,4]=>0000000=>0000000 [2,6,3,8,1,7,5,4]=>[7,3,6,1,8,2,4,5]=>0000000=>0000000 [1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000=>0000000 [6,3,8,4,5,1,7,2]=>[3,6,1,5,4,8,2,7]=>0000000=>0000000 [2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>0000000=>0000000 [6,5,8,7,2,4,1,3]=>[3,4,1,2,7,5,8,6]=>0001000=>0001000 [3,6,8,5,2,4,7,1]=>[6,3,1,4,7,5,2,8]=>0000001=>1000000 [4,6,2,8,3,5,7,1]=>[5,3,7,1,6,4,2,8]=>0000001=>1000000 [5,2,6,8,4,7,1,3]=>[4,7,3,1,5,2,8,6]=>0000000=>0000000 [5,4,6,8,7,1,3,2]=>[4,5,3,1,2,8,6,7]=>0000100=>0010000 [4,6,3,8,7,2,5,1]=>[5,3,6,1,2,7,4,8]=>0000001=>1000000 [2,5,8,7,4,3,6,1]=>[7,4,1,2,5,6,3,8]=>0000001=>1000000 [4,7,2,5,6,3,1,8]=>[5,2,7,4,3,6,8,1]=>0000000=>0000000 [4,1,2,7,5,3,8,6]=>[5,8,7,2,4,6,1,3]=>0000000=>0000000 [6,1,5,8,4,3,2,7]=>[3,8,4,1,5,6,7,2]=>0000000=>0000000 [7,2,1,6,8,3,5,4]=>[2,7,8,3,1,6,4,5]=>0000000=>0000000 [3,2,6,1,5,8,4,7]=>[6,7,3,8,4,1,5,2]=>0000000=>0000000 [4,5,2,1,7,8,3,6]=>[5,4,7,8,2,1,6,3]=>0000000=>0000000 [2,3,7,8,5,1,6,4]=>[7,6,2,1,4,8,3,5]=>0000000=>0000000 [1,2,6,7,4,3,5,8]=>[8,7,3,2,5,6,4,1]=>0000000=>0000000 [3,6,7,4,5,1,8,2]=>[6,3,2,5,4,8,1,7]=>0000000=>0000000 [6,8,1,2,3,5,7,4]=>[3,1,8,7,6,4,2,5]=>0000000=>0000000 [7,8,6,1,2,5,3,4]=>[2,1,3,8,7,4,6,5]=>0110000=>0000110 [5,4,7,2,3,8,6,1]=>[4,5,2,7,6,1,3,8]=>0000001=>1000000 [6,4,7,2,8,3,1,5]=>[3,5,2,7,1,6,8,4]=>0000000=>0000000 [8,5,2,7,6,1,4,3]=>[1,4,7,2,3,8,5,6]=>1000000=>0000001 [4,8,1,2,7,6,5,3]=>[5,1,8,7,2,3,4,6]=>0000000=>0000000 [3,6,1,5,2,8,7,4]=>[6,3,8,4,7,1,2,5]=>0000000=>0000000 [8,1,2,6,5,3,4,7]=>[1,8,7,3,4,6,5,2]=>1000000=>0000001 [3,6,1,5,2,7,8,4]=>[6,3,8,4,7,2,1,5]=>0000000=>0000000 [8,1,2,6,3,5,7,4]=>[1,8,7,3,6,4,2,5]=>1000000=>0000001 [1,8,4,3,7,6,2,5]=>[8,1,5,6,2,3,7,4]=>0000000=>0000000 [5,2,8,7,1,4,6,3]=>[4,7,1,2,8,5,3,6]=>0000000=>0000000 [3,2,8,7,1,6,4,5]=>[6,7,1,2,8,3,5,4]=>0000000=>0000000 [3,5,8,7,4,1,6,2]=>[6,4,1,2,5,8,3,7]=>0000000=>0000000 [7,4,6,8,3,5,1,2]=>[2,5,3,1,6,4,8,7]=>0000010=>0100000 [7,2,8,4,1,3,6,5]=>[2,7,1,5,8,6,3,4]=>0000000=>0000000 [2,7,8,1,5,4,6,3]=>[7,2,1,8,4,5,3,6]=>0000000=>0000000 [5,4,6,8,7,3,1,2]=>[4,5,3,1,2,6,8,7]=>0000110=>0110000 [4,5,8,6,7,1,3,2]=>[5,4,1,3,2,8,6,7]=>0000100=>0010000 [5,4,6,8,7,1,2,3]=>[4,5,3,1,2,8,7,6]=>0000100=>0010000 [5,3,6,2,4,1,8,7]=>[4,6,3,7,5,8,1,2]=>0000000=>0000000 [5,8,2,6,3,7,4,1]=>[4,1,7,3,6,2,5,8]=>0000001=>1000000 [6,8,4,1,3,5,2,7]=>[3,1,5,8,6,4,7,2]=>0000000=>0000000 [8,5,3,6,1,4,2,7]=>[1,4,6,3,8,5,7,2]=>1000000=>0000001 [5,2,6,7,4,1,3,8]=>[4,7,3,2,5,8,6,1]=>0000000=>0000000 [5,6,2,7,4,1,3,8]=>[4,3,7,2,5,8,6,1]=>0000000=>0000000 [8,1,3,5,2,4,6,7]=>[1,8,6,4,7,5,3,2]=>1000000=>0000001 [5,7,8,1,2,6,4,3]=>[4,2,1,8,7,3,5,6]=>0000000=>0000000 [4,7,1,3,8,6,5,2]=>[5,2,8,6,1,3,4,7]=>0000000=>0000000 [3,7,6,4,5,8,1,2]=>[6,2,3,5,4,1,8,7]=>0000010=>0100000 [2,3,8,6,4,7,5,1]=>[7,6,1,3,5,2,4,8]=>0000001=>1000000 [3,7,2,8,5,4,6,1]=>[6,2,7,1,4,5,3,8]=>0000001=>1000000 [3,5,2,8,7,4,6,1]=>[6,4,7,1,2,5,3,8]=>0000001=>1000000 [2,3,8,7,6,4,5,1]=>[7,6,1,2,3,5,4,8]=>0000001=>1000000 [8,5,6,3,1,4,2,7]=>[1,4,3,6,8,5,7,2]=>1000000=>0000001 [7,8,1,5,6,2,4,3]=>[2,1,8,4,3,7,5,6]=>0100000=>0000010 [3,1,5,8,6,2,4,7]=>[6,8,4,1,3,7,5,2]=>0000000=>0000000 [5,3,8,1,6,4,2,7]=>[4,6,1,8,3,5,7,2]=>0000000=>0000000 [5,3,8,6,4,1,2,7]=>[4,6,1,3,5,8,7,2]=>0000000=>0000000 [5,8,3,1,6,4,2,7]=>[4,1,6,8,3,5,7,2]=>0000000=>0000000 [5,8,6,3,4,1,2,7]=>[4,1,3,6,5,8,7,2]=>0000000=>0000000 [3,7,5,8,2,6,4,1]=>[6,2,4,1,7,3,5,8]=>0000001=>1000000 [3,1,7,8,4,2,6,5]=>[6,8,2,1,5,7,3,4]=>0000000=>0000000 [3,5,7,8,2,4,6,1]=>[6,4,2,1,7,5,3,8]=>0000001=>1000000 [7,3,6,2,1,8,5,4]=>[2,6,3,7,8,1,4,5]=>0000000=>0000000 [7,2,4,5,1,3,8,6]=>[2,7,5,4,8,6,1,3]=>0000000=>0000000 [6,2,3,1,4,8,5,7]=>[3,7,6,8,5,1,4,2]=>0000000=>0000000 [4,1,6,7,3,2,8,5]=>[5,8,3,2,6,7,1,4]=>0000000=>0000000 [1,7,2,5,6,8,4,3]=>[8,2,7,4,3,1,5,6]=>0000000=>0000000 [5,4,8,6,1,7,3,2]=>[4,5,1,3,8,2,6,7]=>0000000=>0000000 [6,3,2,4,1,8,5,7]=>[3,6,7,5,8,1,4,2]=>0000000=>0000000 [6,4,5,1,3,8,2,7]=>[3,5,4,8,6,1,7,2]=>0000000=>0000000 [1,7,6,4,3,2,8,5]=>[8,2,3,5,6,7,1,4]=>0000000=>0000000 [1,2,7,4,3,8,6,5]=>[8,7,2,5,6,1,3,4]=>0000000=>0000000 [1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000=>0000000 [1,5,3,7,6,2,4,8]=>[8,4,6,2,3,7,5,1]=>0000000=>0000000 [3,6,5,2,4,1,7,8]=>[6,3,4,7,5,8,2,1]=>0000000=>0000000 [3,7,1,6,2,5,8,4]=>[6,2,8,3,7,4,1,5]=>0000000=>0000000 [3,6,2,5,1,7,8,4]=>[6,3,7,4,8,2,1,5]=>0000000=>0000000 [3,6,2,5,1,8,4,7]=>[6,3,7,4,8,1,5,2]=>0000000=>0000000 [8,3,4,7,2,5,1,6]=>[1,6,5,2,7,4,8,3]=>1000000=>0000001 [7,8,3,5,4,1,2,6]=>[2,1,6,4,5,8,7,3]=>0100000=>0000010 [7,3,5,4,1,2,6,8]=>[2,6,4,5,8,7,3,1]=>0000000=>0000000 [5,3,4,1,2,7,6,8]=>[4,6,5,8,7,2,3,1]=>0000000=>0000000 [5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]=>0000000=>0000000 [7,1,3,8,2,5,4,6]=>[2,8,6,1,7,4,5,3]=>0000000=>0000000 [7,5,8,6,1,3,2,4]=>[2,4,1,3,8,6,7,5]=>0001000=>0001000 [6,7,1,8,3,4,5,2]=>[3,2,8,1,6,5,4,7]=>0000000=>0000000 [6,7,1,5,3,4,8,2]=>[3,2,8,4,6,5,1,7]=>0000000=>0000000 [8,3,2,6,7,1,5,4]=>[1,6,7,3,2,8,4,5]=>1000000=>0000001 [1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>0000000=>0000000 [1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>0000000=>0000000 [1,5,7,4,3,2,8,6]=>[8,4,2,5,6,7,1,3]=>0000000=>0000000 [1,3,6,7,2,8,5,4]=>[8,6,3,2,7,1,4,5]=>0000000=>0000000 [3,2,5,6,4,8,1,7]=>[6,7,4,3,5,1,8,2]=>0000000=>0000000 [2,3,6,4,1,7,5,8]=>[7,6,3,5,8,2,4,1]=>0000000=>0000000 [2,3,5,7,4,8,1,6]=>[7,6,4,2,5,1,8,3]=>0000000=>0000000 [2,3,7,1,5,8,4,6]=>[7,6,2,8,4,1,5,3]=>0000000=>0000000 [2,3,6,5,1,7,4,8]=>[7,6,3,4,8,2,5,1]=>0000000=>0000000 [3,2,6,4,1,5,7,8]=>[6,7,3,5,8,4,2,1]=>0000000=>0000000 [3,7,2,5,8,4,6,1]=>[6,2,7,4,1,5,3,8]=>0000001=>1000000 [4,6,5,2,1,7,8,3]=>[5,3,4,7,8,2,1,6]=>0000000=>0000000 [4,6,1,7,5,8,3,2]=>[5,3,8,2,4,1,6,7]=>0000000=>0000000 [4,7,1,5,8,2,6,3]=>[5,2,8,4,1,7,3,6]=>0000000=>0000000 [4,2,6,5,1,7,8,3]=>[5,7,3,4,8,2,1,6]=>0000000=>0000000 [4,1,5,7,6,8,3,2]=>[5,8,4,2,3,1,6,7]=>0000000=>0000000 [4,1,5,7,6,8,2,3]=>[5,8,4,2,3,1,7,6]=>0000000=>0000000 [3,5,6,2,1,4,7,8]=>[6,4,3,7,8,5,2,1]=>0000000=>0000000 [4,2,5,7,6,8,3,1]=>[5,7,4,2,3,1,6,8]=>0000001=>1000000 [4,3,6,5,2,8,1,7]=>[5,6,3,4,7,1,8,2]=>0000000=>0000000 [4,3,6,5,1,7,8,2]=>[5,6,3,4,8,2,1,7]=>0000000=>0000000 [3,6,4,5,2,1,7,8]=>[6,3,5,4,7,8,2,1]=>0000000=>0000000 [3,5,6,4,2,8,1,7]=>[6,4,3,5,7,1,8,2]=>0000000=>0000000 [4,6,5,3,1,7,8,2]=>[5,3,4,6,8,2,1,7]=>0000000=>0000000 [5,1,3,4,8,2,6,7]=>[4,8,6,5,1,7,3,2]=>0000000=>0000000 [5,8,1,4,2,3,6,7]=>[4,1,8,5,7,6,3,2]=>0000000=>0000000 [5,1,6,8,7,2,3,4]=>[4,8,3,1,2,7,6,5]=>0000000=>0000000 [7,4,8,1,5,2,6,3]=>[2,5,1,8,4,7,3,6]=>0000000=>0000000 [1,3,5,8,4,7,6,2]=>[8,6,4,1,5,2,3,7]=>0000000=>0000000 [5,7,4,1,3,2,8,6]=>[4,2,5,8,6,7,1,3]=>0000000=>0000000 [2,7,4,1,3,8,5,6]=>[7,2,5,8,6,1,4,3]=>0000000=>0000000 [5,1,8,6,4,2,7,3]=>[4,8,1,3,5,7,2,6]=>0000000=>0000000 [2,6,8,7,1,3,5,4]=>[7,3,1,2,8,6,4,5]=>0000000=>0000000 [6,2,1,7,5,8,4,3]=>[3,7,8,2,4,1,5,6]=>0000000=>0000000 [1,5,7,8,6,4,2,3]=>[8,4,2,1,3,5,7,6]=>0000000=>0000000 [3,5,6,2,8,7,1,4]=>[6,4,3,7,1,2,8,5]=>0000000=>0000000 [4,5,1,7,6,3,8,2]=>[5,4,8,2,3,6,1,7]=>0000000=>0000000 [7,4,5,2,6,3,8,1]=>[2,5,4,7,3,6,1,8]=>0000001=>1000000 [6,5,4,1,3,7,8,2]=>[3,4,5,8,6,2,1,7]=>0000000=>0000000 [7,2,1,4,3,8,5,6]=>[2,7,8,5,6,1,4,3]=>0000000=>0000000 [8,1,6,7,2,4,3,5]=>[1,8,3,2,7,5,6,4]=>1000000=>0000001 [6,1,8,4,3,2,7,5]=>[3,8,1,5,6,7,2,4]=>0000000=>0000000 [5,1,8,6,7,4,2,3]=>[4,8,1,3,2,5,7,6]=>0000000=>0000000 [6,5,1,3,7,8,2,4]=>[3,4,8,6,2,1,7,5]=>0000000=>0000000 [6,1,2,4,3,7,8,5]=>[3,8,7,5,6,2,1,4]=>0000000=>0000000 [7,1,4,5,2,3,6,8]=>[2,8,5,4,7,6,3,1]=>0000000=>0000000 [6,8,7,5,1,2,4,3]=>[3,1,2,4,8,7,5,6]=>0011000=>0001100 [6,7,1,4,2,3,5,8]=>[3,2,8,5,7,6,4,1]=>0000000=>0000000 [3,5,8,6,2,1,4,7]=>[6,4,1,3,7,8,5,2]=>0000000=>0000000 [8,7,3,6,5,2,4,1]=>[1,2,6,3,4,7,5,8]=>1100001=>1000011 [2,8,7,4,6,3,1,5]=>[7,1,2,5,3,6,8,4]=>0000000=>0000000 [8,3,4,1,2,5,7,6]=>[1,6,5,8,7,4,2,3]=>1000000=>0000001 [8,7,2,4,6,1,5,3]=>[1,2,7,5,3,8,4,6]=>1100000=>0000011 [6,7,5,4,8,1,3,2]=>[3,2,4,5,1,8,6,7]=>0000100=>0010000 [4,3,6,5,7,1,2,8]=>[5,6,3,4,2,8,7,1]=>0000000=>0000000 [3,5,8,2,4,6,7,1]=>[6,4,1,7,5,3,2,8]=>0000001=>1000000 [5,3,8,2,1,4,6,7]=>[4,6,1,7,8,5,3,2]=>0000000=>0000000 [1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>0000000=>0000000 [3,8,6,2,1,4,5,7]=>[6,1,3,7,8,5,4,2]=>0000000=>0000000 [1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000=>0000000 [2,5,8,4,6,1,7,3]=>[7,4,1,5,3,8,2,6]=>0000000=>0000000 [3,8,6,7,2,1,4,5]=>[6,1,3,2,7,8,5,4]=>0000000=>0000000 [8,4,6,1,7,2,5,3]=>[1,5,3,8,2,7,4,6]=>1000000=>0000001 [1,8,4,6,7,5,2,3]=>[8,1,5,3,2,4,7,6]=>0000000=>0000000 [8,1,4,6,7,5,2,3]=>[1,8,5,3,2,4,7,6]=>1000000=>0000001 [8,1,4,6,3,7,2,5]=>[1,8,5,3,6,2,7,4]=>1000000=>0000001 [8,4,7,3,1,6,2,5]=>[1,5,2,6,8,3,7,4]=>1000000=>0000001 [8,2,1,4,7,3,6,5]=>[1,7,8,5,2,6,3,4]=>1000000=>0000001 [1,8,2,5,7,4,6,3]=>[8,1,7,4,2,5,3,6]=>0000000=>0000000 [1,6,2,5,8,4,7,3]=>[8,3,7,4,1,5,2,6]=>0000000=>0000000 [3,8,7,2,1,5,6,4]=>[6,1,2,7,8,4,3,5]=>0000000=>0000000 [2,6,8,5,1,7,4,3]=>[7,3,1,4,8,2,5,6]=>0000000=>0000000 [3,2,1,6,7,4,8,5]=>[6,7,8,3,2,5,1,4]=>0000000=>0000000 [3,2,6,1,7,8,5,4]=>[6,7,3,8,2,1,4,5]=>0000000=>0000000 [3,5,8,6,4,1,7,2]=>[6,4,1,3,5,8,2,7]=>0000000=>0000000 [1,4,8,7,2,5,6,3]=>[8,5,1,2,7,4,3,6]=>0000000=>0000000 [5,4,7,6,1,2,8,3]=>[4,5,2,3,8,7,1,6]=>0000000=>0000000 [7,1,2,4,3,5,6,8]=>[2,8,7,5,6,4,3,1]=>0000000=>0000000 [2,8,7,3,5,4,6,1]=>[7,1,2,6,4,5,3,8]=>0000001=>1000000 [1,6,5,8,4,7,2,3]=>[8,3,4,1,5,2,7,6]=>0000000=>0000000 [2,8,3,1,4,7,6,5]=>[7,1,6,8,5,2,3,4]=>0000000=>0000000 [3,5,2,6,4,8,1,7]=>[6,4,7,3,5,1,8,2]=>0000000=>0000000 [1,2,4,8,6,3,7,5]=>[8,7,5,1,3,6,2,4]=>0000000=>0000000 [5,7,2,3,1,4,8,6]=>[4,2,7,6,8,5,1,3]=>0000000=>0000000 [7,1,5,2,4,6,8,3]=>[2,8,4,7,5,3,1,6]=>0000000=>0000000 [8,6,4,7,5,1,2,3]=>[1,3,5,2,4,8,7,6]=>1000100=>0010001 [7,6,4,2,8,5,1,3]=>[2,3,5,7,1,4,8,6]=>0000000=>0000000 [5,6,4,1,7,8,2,3]=>[4,3,5,8,2,1,7,6]=>0000000=>0000000 [3,2,5,7,8,4,1,6]=>[6,7,4,2,1,5,8,3]=>0000000=>0000000 [3,2,5,7,8,4,6,1]=>[6,7,4,2,1,5,3,8]=>0000001=>1000000 [5,1,8,4,3,2,6,7]=>[4,8,1,5,6,7,3,2]=>0000000=>0000000 [5,2,7,4,3,6,8,1]=>[4,7,2,5,6,3,1,8]=>0000001=>1000000 [3,1,5,7,8,4,2,6]=>[6,8,4,2,1,5,7,3]=>0000000=>0000000 [1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>0000000=>0000000 [6,4,8,3,2,1,7,5]=>[3,5,1,6,7,8,2,4]=>0000000=>0000000 [7,4,2,8,3,6,1,5]=>[2,5,7,1,6,3,8,4]=>0000000=>0000000 [8,5,4,6,1,7,2,3]=>[1,4,5,3,8,2,7,6]=>1000000=>0000001 [8,7,1,2,5,6,3,4]=>[1,2,8,7,4,3,6,5]=>1100000=>0000011 [8,6,1,5,2,7,3,4]=>[1,3,8,4,7,2,6,5]=>1000000=>0000001 [8,6,2,5,1,7,3,4]=>[1,3,7,4,8,2,6,5]=>1000000=>0000001 [8,5,1,4,3,7,6,2]=>[1,4,8,5,6,2,3,7]=>1000000=>0000001 [8,5,1,4,3,7,2,6]=>[1,4,8,5,6,2,7,3]=>1000000=>0000001 [8,5,1,4,3,2,7,6]=>[1,4,8,5,6,7,2,3]=>1000000=>0000001 [3,8,5,7,4,6,2,1]=>[6,1,4,2,5,3,7,8]=>0000011=>1100000 [8,6,2,4,5,7,1,3]=>[1,3,7,5,4,2,8,6]=>1000000=>0000001 [3,8,7,4,5,2,6,1]=>[6,1,2,5,4,7,3,8]=>0000001=>1000000 [4,7,3,6,5,2,8,1]=>[5,2,6,3,4,7,1,8]=>0000001=>1000000 [6,5,2,4,1,3,8,7]=>[3,4,7,5,8,6,1,2]=>0000000=>0000000 [7,6,3,2,5,1,8,4]=>[2,3,6,7,4,8,1,5]=>0000000=>0000000 [7,2,3,4,6,8,1,5]=>[2,7,6,5,3,1,8,4]=>0000000=>0000000 [4,2,7,8,3,6,1,5]=>[5,7,2,1,6,3,8,4]=>0000000=>0000000 [4,6,3,7,5,8,2,1]=>[5,3,6,2,4,1,7,8]=>0000011=>1100000 [4,2,5,7,8,6,3,1]=>[5,7,4,2,1,3,6,8]=>0000001=>1000000 [8,2,5,7,3,6,1,4]=>[1,7,4,2,6,3,8,5]=>1000000=>0000001 [4,2,5,8,7,6,3,1]=>[5,7,4,1,2,3,6,8]=>0000001=>1000000 [6,7,2,4,5,1,8,3]=>[3,2,7,5,4,8,1,6]=>0000000=>0000000 [5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>0000000=>0000000 [5,2,7,8,3,6,1,4]=>[4,7,2,1,6,3,8,5]=>0000000=>0000000 [8,2,3,4,7,1,5,6]=>[1,7,6,5,2,8,4,3]=>1000000=>0000001 [6,7,3,2,5,8,1,4]=>[3,2,6,7,4,1,8,5]=>0000000=>0000000 [7,2,8,3,1,6,4,5]=>[2,7,1,6,8,3,5,4]=>0000000=>0000000 [7,2,3,4,1,8,5,6]=>[2,7,6,5,8,1,4,3]=>0000000=>0000000 [8,7,2,5,1,4,3,6]=>[1,2,7,4,8,5,6,3]=>1100000=>0000011 [6,3,5,2,8,7,1,4]=>[3,6,4,7,1,2,8,5]=>0000000=>0000000 [8,7,4,5,1,2,6,3]=>[1,2,5,4,8,7,3,6]=>1100000=>0000011 [8,4,3,5,1,2,7,6]=>[1,5,6,4,8,7,2,3]=>1000000=>0000001 [3,4,8,2,1,7,6,5]=>[6,5,1,7,8,2,3,4]=>0000000=>0000000 [3,8,4,2,1,7,6,5]=>[6,1,5,7,8,2,3,4]=>0000000=>0000000 [8,7,5,2,3,6,1,4]=>[1,2,4,7,6,3,8,5]=>1100000=>0000011 [8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]=>1000001=>1000001 [8,3,1,7,5,6,2,4]=>[1,6,8,2,4,3,7,5]=>1000000=>0000001 [8,4,1,7,5,2,6,3]=>[1,5,8,2,4,7,3,6]=>1000000=>0000001 [8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]=>1000001=>1000001 [8,3,2,7,5,6,1,4]=>[1,6,7,2,4,3,8,5]=>1000000=>0000001 [8,4,2,7,5,3,1,6]=>[1,5,7,2,4,6,8,3]=>1000000=>0000001 [8,2,6,5,7,1,3,4]=>[1,7,3,4,2,8,6,5]=>1000000=>0000001 [8,4,3,7,5,1,2,6]=>[1,5,6,2,4,8,7,3]=>1000000=>0000001 [8,5,7,6,4,3,1,2]=>[1,4,2,3,5,6,8,7]=>1001110=>0111001 [8,5,7,6,4,1,2,3]=>[1,4,2,3,5,8,7,6]=>1001100=>0011001 [8,2,4,7,1,5,6,3]=>[1,7,5,2,8,4,3,6]=>1000000=>0000001 [8,4,7,6,5,2,1,3]=>[1,5,2,3,4,7,8,6]=>1000100=>0010001 [8,3,1,4,7,6,2,5]=>[1,6,8,5,2,3,7,4]=>1000000=>0000001 [3,6,2,8,1,4,7,5]=>[6,3,7,1,8,5,2,4]=>0000000=>0000000 [5,2,1,6,8,3,7,4]=>[4,7,8,3,1,6,2,5]=>0000000=>0000000 [4,2,5,1,8,3,6,7]=>[5,7,4,8,1,6,3,2]=>0000000=>0000000 [6,7,2,8,5,1,4,3]=>[3,2,7,1,4,8,5,6]=>0000000=>0000000 [4,3,8,6,5,2,7,1]=>[5,6,1,3,4,7,2,8]=>0000001=>1000000 [8,4,1,6,5,7,2,3]=>[1,5,8,3,4,2,7,6]=>1000000=>0000001 [4,1,8,6,5,7,2,3]=>[5,8,1,3,4,2,7,6]=>0000000=>0000000 [8,7,4,6,5,1,2,3]=>[1,2,5,3,4,8,7,6]=>1100100=>0010011 [7,2,3,6,5,8,1,4]=>[2,7,6,3,4,1,8,5]=>0000000=>0000000 [3,5,2,6,7,4,1,8]=>[6,4,7,3,2,5,8,1]=>0000000=>0000000 [2,7,1,8,5,4,3,6]=>[7,2,8,1,4,5,6,3]=>0000000=>0000000 [7,1,2,8,5,4,3,6]=>[2,8,7,1,4,5,6,3]=>0000000=>0000000 [3,2,8,6,7,4,1,5]=>[6,7,1,3,2,5,8,4]=>0000000=>0000000 [8,6,7,1,2,5,3,4]=>[1,3,2,8,7,4,6,5]=>1010000=>0000101 [8,6,7,1,4,2,3,5]=>[1,3,2,8,5,7,6,4]=>1010000=>0000101 [4,2,7,5,8,1,3,6]=>[5,7,2,4,1,8,6,3]=>0000000=>0000000 [3,2,5,6,8,4,1,7]=>[6,7,4,3,1,5,8,2]=>0000000=>0000000 [7,4,6,1,8,5,2,3]=>[2,5,3,8,1,4,7,6]=>0000000=>0000000 [8,5,6,7,2,4,1,3]=>[1,4,3,2,7,5,8,6]=>1001000=>0001001 [5,8,3,1,4,2,6,7]=>[4,1,6,8,5,7,3,2]=>0000000=>0000000 [1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>0000000=>0000000 [4,1,6,7,3,5,8,2]=>[5,8,3,2,6,4,1,7]=>0000000=>0000000 [1,7,4,8,3,6,2,5]=>[8,2,5,1,6,3,7,4]=>0000000=>0000000 [1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>0000000=>0000000 [8,2,7,5,3,4,1,6]=>[1,7,2,4,6,5,8,3]=>1000000=>0000001 [8,2,4,6,3,7,1,5]=>[1,7,5,3,6,2,8,4]=>1000000=>0000001 [3,4,5,8,1,7,2,6]=>[6,5,4,1,8,2,7,3]=>0000000=>0000000 [4,5,6,2,7,8,3,1]=>[5,4,3,7,2,1,6,8]=>0000001=>1000000 [8,6,4,3,1,2,7,5]=>[1,3,5,6,8,7,2,4]=>1000000=>0000001 [5,8,1,4,3,2,6,7]=>[4,1,8,5,6,7,3,2]=>0000000=>0000000 [5,8,1,4,3,2,7,6]=>[4,1,8,5,6,7,2,3]=>0000000=>0000000 [1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>0000000=>0000000 [6,7,5,1,3,8,2,4]=>[3,2,4,8,6,1,7,5]=>0000000=>0000000 [8,1,7,4,3,5,6,2]=>[1,8,2,5,6,4,3,7]=>1000000=>0000001 [7,1,2,4,5,6,8,3]=>[2,8,7,5,4,3,1,6]=>0000000=>0000000 [1,7,2,5,4,6,8,3]=>[8,2,7,4,5,3,1,6]=>0000000=>0000000 [5,6,3,4,1,7,8,2]=>[4,3,6,5,8,2,1,7]=>0000000=>0000000 [6,4,3,7,5,8,2,1]=>[3,5,6,2,4,1,7,8]=>0000011=>1100000 [5,2,4,7,8,6,3,1]=>[4,7,5,2,1,3,6,8]=>0000001=>1000000 [6,2,3,7,5,4,8,1]=>[3,7,6,2,4,5,1,8]=>0000001=>1000000 [5,7,2,6,3,4,8,1]=>[4,2,7,3,6,5,1,8]=>0000001=>1000000 [6,3,1,7,5,8,4,2]=>[3,6,8,2,4,1,5,7]=>0000000=>0000000 [8,4,2,7,6,1,5,3]=>[1,5,7,2,3,8,4,6]=>1000000=>0000001 [8,7,1,4,6,2,5,3]=>[1,2,8,5,3,7,4,6]=>1100000=>0000011 [8,4,7,1,2,6,5,3]=>[1,5,2,8,7,3,4,6]=>1000000=>0000001 [8,7,6,2,3,5,1,4]=>[1,2,3,7,6,4,8,5]=>1110000=>0000111 [7,8,4,6,1,2,5,3]=>[2,1,5,3,8,7,4,6]=>0100000=>0000010 [5,3,7,6,1,8,4,2]=>[4,6,2,3,8,1,5,7]=>0000000=>0000000 [5,7,2,8,1,6,4,3]=>[4,2,7,1,8,3,5,6]=>0000000=>0000000 [8,4,7,1,6,5,2,3]=>[1,5,2,8,3,4,7,6]=>1000000=>0000001 [8,4,7,6,1,2,5,3]=>[1,5,2,3,8,7,4,6]=>1000000=>0000001 [8,7,6,2,3,1,5,4]=>[1,2,3,7,6,8,4,5]=>1110000=>0000111 [8,7,6,2,1,5,3,4]=>[1,2,3,7,8,4,6,5]=>1110000=>0000111 [8,7,6,2,1,3,5,4]=>[1,2,3,7,8,6,4,5]=>1110000=>0000111 [8,6,1,4,7,2,5,3]=>[1,3,8,5,2,7,4,6]=>1000000=>0000001 [8,6,4,7,2,1,5,3]=>[1,3,5,2,7,8,4,6]=>1000000=>0000001 [8,1,4,6,2,3,7,5]=>[1,8,5,3,7,6,2,4]=>1000000=>0000001 [2,5,6,8,3,4,7,1]=>[7,4,3,1,6,5,2,8]=>0000001=>1000000 [4,1,2,6,5,3,7,8]=>[5,8,7,3,4,6,2,1]=>0000000=>0000000 [4,2,6,3,5,1,7,8]=>[5,7,3,6,4,8,2,1]=>0000000=>0000000 [2,6,3,7,4,8,5,1]=>[7,3,6,2,5,1,4,8]=>0000001=>1000000 [1,3,5,8,6,4,7,2]=>[8,6,4,1,3,5,2,7]=>0000000=>0000000 [6,2,5,1,3,4,8,7]=>[3,7,4,8,6,5,1,2]=>0000000=>0000000 [2,6,5,1,3,4,8,7]=>[7,3,4,8,6,5,1,2]=>0000000=>0000000 [4,6,5,1,2,7,3,8]=>[5,3,4,8,7,2,6,1]=>0000000=>0000000 [5,6,4,1,2,7,3,8]=>[4,3,5,8,7,2,6,1]=>0000000=>0000000 [8,1,5,6,2,4,3,7]=>[1,8,4,3,7,5,6,2]=>1000000=>0000001 [6,4,5,1,2,7,3,8]=>[3,5,4,8,7,2,6,1]=>0000000=>0000000 [5,4,6,1,3,2,7,8]=>[4,5,3,8,6,7,2,1]=>0000000=>0000000 [5,7,1,4,3,2,6,8]=>[4,2,8,5,6,7,3,1]=>0000000=>0000000 [2,6,4,1,3,7,5,8]=>[7,3,5,8,6,2,4,1]=>0000000=>0000000 [5,6,1,7,8,3,2,4]=>[4,3,8,2,1,6,7,5]=>0000000=>0000000 [5,4,1,6,7,2,8,3]=>[4,5,8,3,2,7,1,6]=>0000000=>0000000 [2,7,5,8,1,6,4,3]=>[7,2,4,1,8,3,5,6]=>0000000=>0000000 [6,4,1,8,7,2,5,3]=>[3,5,8,1,2,7,4,6]=>0000000=>0000000 [3,7,2,8,6,5,1,4]=>[6,2,7,1,3,4,8,5]=>0000000=>0000000 [6,2,8,7,1,5,3,4]=>[3,7,1,2,8,4,6,5]=>0000000=>0000000 [8,1,5,7,3,4,6,2]=>[1,8,4,2,6,5,3,7]=>1000000=>0000001 [5,8,2,7,6,3,1,4]=>[4,1,7,2,3,6,8,5]=>0000000=>0000000 [6,8,7,1,4,3,5,2]=>[3,1,2,8,5,6,4,7]=>0010000=>0000100 [3,5,1,8,7,6,2,4]=>[6,4,8,1,2,3,7,5]=>0000000=>0000000 [3,2,6,1,8,7,5,4]=>[6,7,3,8,1,2,4,5]=>0000000=>0000000 [6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]=>0000000=>0000000 [1,3,5,8,6,7,4,2]=>[8,6,4,1,3,2,5,7]=>0000000=>0000000 [1,8,2,4,6,7,5,3]=>[8,1,7,5,3,2,4,6]=>0000000=>0000000 [1,3,7,8,4,5,6,2]=>[8,6,2,1,5,4,3,7]=>0000000=>0000000 [1,4,7,3,8,5,6,2]=>[8,5,2,6,1,4,3,7]=>0000000=>0000000 [1,4,7,8,2,5,6,3]=>[8,5,2,1,7,4,3,6]=>0000000=>0000000 [2,5,1,8,4,7,6,3]=>[7,4,8,1,5,2,3,6]=>0000000=>0000000 [2,1,7,4,8,6,5,3]=>[7,8,2,5,1,3,4,6]=>0000000=>0000000 [1,5,8,2,4,7,6,3]=>[8,4,1,7,5,2,3,6]=>0000000=>0000000 [1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>0000000=>0000000 [1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>0000000=>0000000 [2,3,7,1,8,6,5,4]=>[7,6,2,8,1,3,4,5]=>0000000=>0000000 [3,4,2,8,1,7,6,5]=>[6,5,7,1,8,2,3,4]=>0000000=>0000000 [2,4,5,8,1,7,6,3]=>[7,5,4,1,8,2,3,6]=>0000000=>0000000 [2,3,8,5,1,7,6,4]=>[7,6,1,4,8,2,3,5]=>0000000=>0000000 [1,8,3,5,2,7,6,4]=>[8,1,6,4,7,2,3,5]=>0000000=>0000000 [1,6,2,5,8,7,4,3]=>[8,3,7,4,1,2,5,6]=>0000000=>0000000 [1,4,8,2,6,7,5,3]=>[8,5,1,7,3,2,4,6]=>0000000=>0000000 [3,1,8,2,6,7,5,4]=>[6,8,1,7,3,2,4,5]=>0000000=>0000000 [1,4,7,2,8,6,5,3]=>[8,5,2,7,1,3,4,6]=>0000000=>0000000 [3,1,7,2,8,6,5,4]=>[6,8,2,7,1,3,4,5]=>0000000=>0000000 [2,6,8,1,4,3,7,5]=>[7,3,1,8,5,6,2,4]=>0000000=>0000000 [3,7,2,1,6,8,4,5]=>[6,2,7,8,3,1,5,4]=>0000000=>0000000 [4,1,8,2,6,7,3,5]=>[5,8,1,7,3,2,6,4]=>0000000=>0000000 [1,5,8,2,6,7,3,4]=>[8,4,1,7,3,2,6,5]=>0000000=>0000000 [2,6,1,5,8,7,3,4]=>[7,3,8,4,1,2,6,5]=>0000000=>0000000 [7,4,8,5,1,2,6,3]=>[2,5,1,4,8,7,3,6]=>0000000=>0000000 [5,7,1,4,3,2,8,6]=>[4,2,8,5,6,7,1,3]=>0000000=>0000000 [7,5,1,2,6,4,8,3]=>[2,4,8,7,3,5,1,6]=>0000000=>0000000 [5,8,6,4,3,2,7,1]=>[4,1,3,5,6,7,2,8]=>0000001=>1000000 [5,7,8,4,3,2,6,1]=>[4,2,1,5,6,7,3,8]=>0000001=>1000000 [5,8,7,4,3,2,6,1]=>[4,1,2,5,6,7,3,8]=>0000001=>1000000 [3,8,5,4,2,7,6,1]=>[6,1,4,5,7,2,3,8]=>0000001=>1000000 [1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>0000000=>0000000 [1,8,5,4,6,7,2,3]=>[8,1,4,5,3,2,7,6]=>0000000=>0000000 [2,3,5,4,8,1,7,6]=>[7,6,4,5,1,8,2,3]=>0000000=>0000000 [7,6,3,8,4,1,2,5]=>[2,3,6,1,5,8,7,4]=>0000000=>0000000 [8,1,3,2,6,5,7,4]=>[1,8,6,7,3,4,2,5]=>1000000=>0000001 [1,3,6,2,7,5,8,4]=>[8,6,3,7,2,4,1,5]=>0000000=>0000000 [7,1,8,6,4,2,5,3]=>[2,8,1,3,5,7,4,6]=>0000000=>0000000 [5,6,1,8,4,2,7,3]=>[4,3,8,1,5,7,2,6]=>0000000=>0000000 [1,3,8,5,6,2,7,4]=>[8,6,1,4,3,7,2,5]=>0000000=>0000000 [6,8,2,4,7,3,1,5]=>[3,1,7,5,2,6,8,4]=>0000000=>0000000 [8,6,2,4,5,1,3,7]=>[1,3,7,5,4,8,6,2]=>1000000=>0000001 [6,8,4,2,3,7,1,5]=>[3,1,5,7,6,2,8,4]=>0000000=>0000000 [6,8,4,2,7,1,3,5]=>[3,1,5,7,2,8,6,4]=>0000000=>0000000 [6,8,2,4,1,7,3,5]=>[3,1,7,5,8,2,6,4]=>0000000=>0000000 [8,6,2,4,1,7,3,5]=>[1,3,7,5,8,2,6,4]=>1000000=>0000001 [2,5,4,7,6,1,3,8]=>[7,4,5,2,3,8,6,1]=>0000000=>0000000 [5,2,3,7,6,1,4,8]=>[4,7,6,2,3,8,5,1]=>0000000=>0000000 [8,5,2,7,3,4,6,1]=>[1,4,7,2,6,5,3,8]=>1000001=>1000001 [6,8,1,3,4,5,7,2]=>[3,1,8,6,5,4,2,7]=>0000000=>0000000 [5,1,3,2,6,7,8,4]=>[4,8,6,7,3,2,1,5]=>0000000=>0000000 [3,7,2,8,1,4,5,6]=>[6,2,7,1,8,5,4,3]=>0000000=>0000000 [7,5,2,6,1,8,3,4]=>[2,4,7,3,8,1,6,5]=>0000000=>0000000 [6,2,5,3,7,8,1,4]=>[3,7,4,6,2,1,8,5]=>0000000=>0000000 [7,5,2,6,1,8,4,3]=>[2,4,7,3,8,1,5,6]=>0000000=>0000000 [1,5,4,6,2,8,7,3]=>[8,4,5,3,7,1,2,6]=>0000000=>0000000 [8,3,7,5,1,4,2,6]=>[1,6,2,4,8,5,7,3]=>1000000=>0000001 [4,3,7,5,1,6,2,8]=>[5,6,2,4,8,3,7,1]=>0000000=>0000000 [5,6,2,8,7,1,4,3]=>[4,3,7,1,2,8,5,6]=>0000000=>0000000 [6,4,7,1,3,5,2,8]=>[3,5,2,8,6,4,7,1]=>0000000=>0000000 [5,3,1,4,6,7,8,2]=>[4,6,8,5,3,2,1,7]=>0000000=>0000000 [5,6,1,3,4,7,2,8]=>[4,3,8,6,5,2,7,1]=>0000000=>0000000 [4,5,7,2,3,6,1,8]=>[5,4,2,7,6,3,8,1]=>0000000=>0000000 [3,2,6,7,4,8,5,1]=>[6,7,3,2,5,1,4,8]=>0000001=>1000000 [6,5,2,7,4,1,3,8]=>[3,4,7,2,5,8,6,1]=>0000000=>0000000 [6,5,7,3,1,4,2,8]=>[3,4,2,6,8,5,7,1]=>0000000=>0000000 [6,3,4,1,7,8,2,5]=>[3,6,5,8,2,1,7,4]=>0000000=>0000000 [6,8,1,5,3,4,2,7]=>[3,1,8,4,6,5,7,2]=>0000000=>0000000 [5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>0000000=>0000000 [4,5,8,2,3,7,1,6]=>[5,4,1,7,6,2,8,3]=>0000000=>0000000 [5,8,2,6,7,4,3,1]=>[4,1,7,3,2,5,6,8]=>0000001=>1000000 [8,2,5,7,3,4,6,1]=>[1,7,4,2,6,5,3,8]=>1000001=>1000001 [6,1,2,4,3,5,7,8]=>[3,8,7,5,6,4,2,1]=>0000000=>0000000 [1,7,6,5,3,8,2,4]=>[8,2,3,4,6,1,7,5]=>0000000=>0000000 [1,7,2,4,3,5,8,6]=>[8,2,7,5,6,4,1,3]=>0000000=>0000000 [6,1,2,4,3,7,5,8]=>[3,8,7,5,6,2,4,1]=>0000000=>0000000 [7,1,2,4,3,5,8,6]=>[2,8,7,5,6,4,1,3]=>0000000=>0000000 [1,6,3,8,5,4,7,2]=>[8,3,6,1,4,5,2,7]=>0000000=>0000000 [7,8,1,6,4,3,2,5]=>[2,1,8,3,5,6,7,4]=>0100000=>0000010 [5,7,2,8,1,3,6,4]=>[4,2,7,1,8,6,3,5]=>0000000=>0000000 [6,4,7,1,3,8,2,5]=>[3,5,2,8,6,1,7,4]=>0000000=>0000000 [2,3,8,4,1,7,6,5]=>[7,6,1,5,8,2,3,4]=>0000000=>0000000 [1,8,6,3,4,7,5,2]=>[8,1,3,6,5,2,4,7]=>0000000=>0000000 [8,6,5,1,4,2,7,3]=>[1,3,4,8,5,7,2,6]=>1000000=>0000001 [1,6,3,5,8,4,7,2]=>[8,3,6,4,1,5,2,7]=>0000000=>0000000 [1,5,8,7,3,4,6,2]=>[8,4,1,2,6,5,3,7]=>0000000=>0000000 [3,6,4,1,2,7,8,5]=>[6,3,5,8,7,2,1,4]=>0000000=>0000000 [4,1,7,3,8,6,2,5]=>[5,8,2,6,1,3,7,4]=>0000000=>0000000 [7,2,8,1,4,5,3,6]=>[2,7,1,8,5,4,6,3]=>0000000=>0000000 [5,6,1,4,8,3,2,7]=>[4,3,8,5,1,6,7,2]=>0000000=>0000000 [6,1,8,5,4,3,2,7]=>[3,8,1,4,5,6,7,2]=>0000000=>0000000 [5,3,6,4,1,8,2,7]=>[4,6,3,5,8,1,7,2]=>0000000=>0000000 [8,2,4,7,1,5,3,6]=>[1,7,5,2,8,4,6,3]=>1000000=>0000001 [3,8,6,1,4,2,7,5]=>[6,1,3,8,5,7,2,4]=>0000000=>0000000 [1,3,5,8,6,7,2,4]=>[8,6,4,1,3,2,7,5]=>0000000=>0000000 [1,5,2,7,6,8,4,3]=>[8,4,7,2,3,1,5,6]=>0000000=>0000000 [8,1,5,6,2,7,3,4]=>[1,8,4,3,7,2,6,5]=>1000000=>0000001 [4,5,2,1,6,3,7,8]=>[5,4,7,8,3,6,2,1]=>0000000=>0000000 [8,2,1,5,4,6,7,3]=>[1,7,8,4,5,3,2,6]=>1000000=>0000001 [7,2,5,4,1,6,8,3]=>[2,7,4,5,8,3,1,6]=>0000000=>0000000 [5,7,6,4,3,1,2,8]=>[4,2,3,5,6,8,7,1]=>0000000=>0000000 [4,6,8,7,1,3,2,5]=>[5,3,1,2,8,6,7,4]=>0000000=>0000000 [4,7,6,8,3,1,2,5]=>[5,2,3,1,6,8,7,4]=>0000000=>0000000 [1,7,8,6,3,5,2,4]=>[8,2,1,3,6,4,7,5]=>0000000=>0000000 [7,4,2,8,6,5,1,3]=>[2,5,7,1,3,4,8,6]=>0000000=>0000000 [7,5,8,2,1,6,4,3]=>[2,4,1,7,8,3,5,6]=>0000000=>0000000 [5,8,7,4,6,1,3,2]=>[4,1,2,5,3,8,6,7]=>0000100=>0010000 [3,5,2,8,6,4,7,1]=>[6,4,7,1,3,5,2,8]=>0000001=>1000000 [4,2,1,8,6,7,5,3]=>[5,7,8,1,3,2,4,6]=>0000000=>0000000 [7,1,4,3,8,5,6,2]=>[2,8,5,6,1,4,3,7]=>0000000=>0000000 [8,4,1,3,7,6,5,2]=>[1,5,8,6,2,3,4,7]=>1000000=>0000001 [3,2,8,5,6,1,4,7]=>[6,7,1,4,3,8,5,2]=>0000000=>0000000 [4,8,2,7,6,3,1,5]=>[5,1,7,2,3,6,8,4]=>0000000=>0000000 [1,4,8,2,7,5,6,3]=>[8,5,1,7,2,4,3,6]=>0000000=>0000000 [2,4,1,8,3,7,6,5]=>[7,5,8,1,6,2,3,4]=>0000000=>0000000 [6,8,1,4,5,2,7,3]=>[3,1,8,5,4,7,2,6]=>0000000=>0000000 [3,2,4,5,8,1,6,7]=>[6,7,5,4,1,8,3,2]=>0000000=>0000000 [3,7,5,1,6,2,8,4]=>[6,2,4,8,3,7,1,5]=>0000000=>0000000 [4,6,8,3,7,2,1,5]=>[5,3,1,6,2,7,8,4]=>0000000=>0000000 [1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>0000000=>0000000 [7,3,1,6,5,2,8,4]=>[2,6,8,3,4,7,1,5]=>0000000=>0000000 [6,1,8,5,4,2,7,3]=>[3,8,1,4,5,7,2,6]=>0000000=>0000000 [4,6,1,8,5,2,7,3]=>[5,3,8,1,4,7,2,6]=>0000000=>0000000 [1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000=>0000000 [5,6,3,1,7,2,8,4]=>[4,3,6,8,2,7,1,5]=>0000000=>0000000 [8,6,2,7,3,5,1,4]=>[1,3,7,2,6,4,8,5]=>1000000=>0000001 [2,8,6,1,3,7,5,4]=>[7,1,3,8,6,2,4,5]=>0000000=>0000000 [7,8,6,2,4,5,1,3]=>[2,1,3,7,5,4,8,6]=>0110000=>0000110 [6,7,2,1,4,8,5,3]=>[3,2,7,8,5,1,4,6]=>0000000=>0000000 [6,4,2,5,8,7,1,3]=>[3,5,7,4,1,2,8,6]=>0000000=>0000000 [5,2,7,3,4,8,6,1]=>[4,7,2,6,5,1,3,8]=>0000001=>1000000 [5,7,3,2,4,8,6,1]=>[4,2,6,7,5,1,3,8]=>0000001=>1000000 [2,7,8,3,6,4,5,1]=>[7,2,1,6,3,5,4,8]=>0000001=>1000000 [5,7,2,1,6,3,4,8]=>[4,2,7,8,3,6,5,1]=>0000000=>0000000 [5,7,2,6,8,3,4,1]=>[4,2,7,3,1,6,5,8]=>0000001=>1000000 [3,1,4,6,8,2,7,5]=>[6,8,5,3,1,7,2,4]=>0000000=>0000000 [8,7,2,5,6,4,1,3]=>[1,2,7,4,3,5,8,6]=>1100000=>0000011 [7,2,4,1,3,6,5,8]=>[2,7,5,8,6,3,4,1]=>0000000=>0000000 [3,6,4,1,8,2,5,7]=>[6,3,5,8,1,7,4,2]=>0000000=>0000000 [8,7,6,2,4,5,1,3]=>[1,2,3,7,5,4,8,6]=>1110000=>0000111 [8,7,6,2,4,5,3,1]=>[1,2,3,7,5,4,6,8]=>1110001=>1000111 [8,7,3,5,2,4,6,1]=>[1,2,6,4,7,5,3,8]=>1100001=>1000011 [8,7,3,2,6,5,1,4]=>[1,2,6,7,3,4,8,5]=>1100000=>0000011 [8,3,7,6,2,5,1,4]=>[1,6,2,3,7,4,8,5]=>1000000=>0000001 [8,4,7,2,6,5,1,3]=>[1,5,2,7,3,4,8,6]=>1000000=>0000001 [8,4,2,7,6,5,1,3]=>[1,5,7,2,3,4,8,6]=>1000000=>0000001 [4,6,3,8,5,2,7,1]=>[5,3,6,1,4,7,2,8]=>0000001=>1000000 [1,3,4,8,6,7,2,5]=>[8,6,5,1,3,2,7,4]=>0000000=>0000000 [5,2,1,8,7,4,6,3]=>[4,7,8,1,2,5,3,6]=>0000000=>0000000 [6,8,7,3,1,2,4,5]=>[3,1,2,6,8,7,5,4]=>0010000=>0000100 [7,8,5,1,6,4,3,2]=>[2,1,4,8,3,5,6,7]=>0100000=>0000010 [8,7,5,1,6,4,3,2]=>[1,2,4,8,3,5,6,7]=>1100000=>0000011 [4,6,8,3,5,1,2,7]=>[5,3,1,6,4,8,7,2]=>0000000=>0000000 [8,6,7,1,5,3,2,4]=>[1,3,2,8,4,6,7,5]=>1010000=>0000101 [7,1,6,8,5,4,3,2]=>[2,8,3,1,4,5,6,7]=>0000000=>0000000 [3,7,2,1,8,6,5,4]=>[6,2,7,8,1,3,4,5]=>0000000=>0000000 [5,4,2,6,1,7,3,8]=>[4,5,7,3,8,2,6,1]=>0000000=>0000000 [3,2,8,7,4,5,6,1]=>[6,7,1,2,5,4,3,8]=>0000001=>1000000 [1,8,3,2,5,7,6,4]=>[8,1,6,7,4,2,3,5]=>0000000=>0000000 [7,5,2,8,3,1,6,4]=>[2,4,7,1,6,8,3,5]=>0000000=>0000000 [1,8,6,7,4,3,2,5]=>[8,1,3,2,5,6,7,4]=>0000000=>0000000 [4,6,2,7,1,5,8,3]=>[5,3,7,2,8,4,1,6]=>0000000=>0000000 [2,7,5,4,1,6,8,3]=>[7,2,4,5,8,3,1,6]=>0000000=>0000000 [6,8,5,4,7,1,2,3]=>[3,1,4,5,2,8,7,6]=>0000100=>0010000 [8,3,5,4,7,1,2,6]=>[1,6,4,5,2,8,7,3]=>1000000=>0000001 [6,3,5,4,8,1,2,7]=>[3,6,4,5,1,8,7,2]=>0000000=>0000000 [6,2,5,4,8,7,3,1]=>[3,7,4,5,1,2,6,8]=>0000001=>1000000 [3,8,5,4,1,6,7,2]=>[6,1,4,5,8,3,2,7]=>0000000=>0000000 [8,2,5,1,3,6,7,4]=>[1,7,4,8,6,3,2,5]=>1000000=>0000001 [8,1,6,4,3,2,7,5]=>[1,8,3,5,6,7,2,4]=>1000000=>0000001 [5,1,8,4,3,2,7,6]=>[4,8,1,5,6,7,2,3]=>0000000=>0000000 [4,1,5,6,3,8,7,2]=>[5,8,4,3,6,1,2,7]=>0000000=>0000000 [8,5,1,6,3,2,4,7]=>[1,4,8,3,6,7,5,2]=>1000000=>0000001 [6,8,7,4,3,2,5,1]=>[3,1,2,5,6,7,4,8]=>0010001=>1000100 [1,7,8,4,3,2,5,6]=>[8,2,1,5,6,7,4,3]=>0000000=>0000000 [1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000=>0000000 [8,1,6,5,3,2,4,7]=>[1,8,3,4,6,7,5,2]=>1000000=>0000001 [8,1,5,4,6,7,3,2]=>[1,8,4,5,3,2,6,7]=>1000000=>0000001 [2,8,5,6,3,7,4,1]=>[7,1,4,3,6,2,5,8]=>0000001=>1000000 [5,6,8,3,1,2,4,7]=>[4,3,1,6,8,7,5,2]=>0000000=>0000000 [3,6,4,1,7,2,8,5]=>[6,3,5,8,2,7,1,4]=>0000000=>0000000 [2,8,5,1,3,7,6,4]=>[7,1,4,8,6,2,3,5]=>0000000=>0000000 [2,4,5,8,3,7,6,1]=>[7,5,4,1,6,2,3,8]=>0000001=>1000000 [8,1,4,6,3,2,5,7]=>[1,8,5,3,6,7,4,2]=>1000000=>0000001 [5,6,4,1,8,2,7,3]=>[4,3,5,8,1,7,2,6]=>0000000=>0000000 [6,4,5,1,3,8,7,2]=>[3,5,4,8,6,1,2,7]=>0000000=>0000000 [1,3,8,7,2,5,6,4]=>[8,6,1,2,7,4,3,5]=>0000000=>0000000 [1,4,8,3,2,7,6,5]=>[8,5,1,6,7,2,3,4]=>0000000=>0000000 [8,4,1,2,7,6,5,3]=>[1,5,8,7,2,3,4,6]=>1000000=>0000001 [8,7,3,2,1,4,6,5]=>[1,2,6,7,8,5,3,4]=>1100000=>0000011 [1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>0000000=>0000000 [5,8,3,1,2,4,6,7]=>[4,1,6,8,7,5,3,2]=>0000000=>0000000 [8,5,3,1,4,2,6,7]=>[1,4,6,8,5,7,3,2]=>1000000=>0000001 [1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>0000000=>0000000 [6,1,4,2,8,7,3,5]=>[3,8,5,7,1,2,6,4]=>0000000=>0000000 [1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000=>0000000 [6,7,4,2,8,1,3,5]=>[3,2,5,7,1,8,6,4]=>0000000=>0000000 [4,7,5,6,2,8,3,1]=>[5,2,4,3,7,1,6,8]=>0000001=>1000000 [8,5,1,4,7,6,3,2]=>[1,4,8,5,2,3,6,7]=>1000000=>0000001 [8,1,4,2,7,6,5,3]=>[1,8,5,7,2,3,4,6]=>1000000=>0000001 [8,5,2,4,7,6,3,1]=>[1,4,7,5,2,3,6,8]=>1000001=>1000001 [5,3,1,6,4,8,2,7]=>[4,6,8,3,5,1,7,2]=>0000000=>0000000 [4,6,3,7,8,1,5,2]=>[5,3,6,2,1,8,4,7]=>0000000=>0000000 [4,2,3,6,8,1,7,5]=>[5,7,6,3,1,8,2,4]=>0000000=>0000000 [8,6,3,5,2,1,7,4]=>[1,3,6,4,7,8,2,5]=>1000000=>0000001 [4,1,7,5,6,8,3,2]=>[5,8,2,4,3,1,6,7]=>0000000=>0000000 [7,6,1,5,2,8,3,4]=>[2,3,8,4,7,1,6,5]=>0000000=>0000000 [3,8,6,5,7,2,1,4]=>[6,1,3,4,2,7,8,5]=>0000000=>0000000 [2,7,1,4,6,8,3,5]=>[7,2,8,5,3,1,6,4]=>0000000=>0000000 [1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>0000000=>0000000 [5,4,8,6,3,1,2,7]=>[4,5,1,3,6,8,7,2]=>0000000=>0000000 [7,3,2,1,8,4,6,5]=>[2,6,7,8,1,5,3,4]=>0000000=>0000000 [6,4,8,2,1,7,3,5]=>[3,5,1,7,8,2,6,4]=>0000000=>0000000 [5,6,1,2,4,8,3,7]=>[4,3,8,7,5,1,6,2]=>0000000=>0000000 [8,7,4,5,1,3,2,6]=>[1,2,5,4,8,6,7,3]=>1100000=>0000011 [7,8,6,1,2,3,5,4]=>[2,1,3,8,7,6,4,5]=>0110000=>0000110 [1,3,7,6,8,4,2,5]=>[8,6,2,3,1,5,7,4]=>0000000=>0000000 [8,7,1,2,3,5,6,4]=>[1,2,8,7,6,4,3,5]=>1100000=>0000011 [5,7,1,2,3,6,8,4]=>[4,2,8,7,6,3,1,5]=>0000000=>0000000 [8,2,3,5,6,4,1,7]=>[1,7,6,4,3,5,8,2]=>1000000=>0000001 [8,2,4,6,1,7,3,5]=>[1,7,5,3,8,2,6,4]=>1000000=>0000001 [2,3,5,7,8,4,1,6]=>[7,6,4,2,1,5,8,3]=>0000000=>0000000 [1,3,6,2,5,8,4,7]=>[8,6,3,7,4,1,5,2]=>0000000=>0000000 [4,1,5,8,3,2,7,6]=>[5,8,4,1,6,7,2,3]=>0000000=>0000000 [1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>0000000=>0000000 [7,8,3,1,5,2,6,4]=>[2,1,6,8,4,7,3,5]=>0100000=>0000010 [2,8,4,1,7,3,6,5]=>[7,1,5,8,2,6,3,4]=>0000000=>0000000 [6,2,7,1,5,8,4,3]=>[3,7,2,8,4,1,5,6]=>0000000=>0000000 [3,6,7,2,5,4,8,1]=>[6,3,2,7,4,5,1,8]=>0000001=>1000000 [7,2,4,3,1,6,8,5]=>[2,7,5,6,8,3,1,4]=>0000000=>0000000 [5,4,8,6,3,2,1,7]=>[4,5,1,3,6,7,8,2]=>0000000=>0000000 [4,2,5,6,8,1,3,7]=>[5,7,4,3,1,8,6,2]=>0000000=>0000000 [7,2,5,6,8,4,3,1]=>[2,7,4,3,1,5,6,8]=>0000001=>1000000 [6,5,3,1,7,8,2,4]=>[3,4,6,8,2,1,7,5]=>0000000=>0000000 [6,3,7,4,2,1,5,8]=>[3,6,2,5,7,8,4,1]=>0000000=>0000000 [4,7,5,3,8,6,1,2]=>[5,2,4,6,1,3,8,7]=>0000010=>0100000 [5,4,1,8,3,6,2,7]=>[4,5,8,1,6,3,7,2]=>0000000=>0000000 [5,2,8,1,4,6,3,7]=>[4,7,1,8,5,3,6,2]=>0000000=>0000000 [3,4,5,8,2,1,6,7]=>[6,5,4,1,7,8,3,2]=>0000000=>0000000 [6,8,7,3,2,1,4,5]=>[3,1,2,6,7,8,5,4]=>0010000=>0000100 [3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>0000000=>0000000 [7,2,6,1,4,8,3,5]=>[2,7,3,8,5,1,6,4]=>0000000=>0000000 [1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>0000000=>0000000 [2,1,3,8,4,7,6,5]=>[7,8,6,1,5,2,3,4]=>0000000=>0000000 [1,2,8,7,5,4,6,3]=>[8,7,1,2,4,5,3,6]=>0000000=>0000000 [1,3,6,8,2,7,5,4]=>[8,6,3,1,7,2,4,5]=>0000000=>0000000 [3,1,7,5,8,6,2,4]=>[6,8,2,4,1,3,7,5]=>0000000=>0000000 [7,2,1,8,5,4,3,6]=>[2,7,8,1,4,5,6,3]=>0000000=>0000000 [2,1,8,7,4,6,5,3]=>[7,8,1,2,5,3,4,6]=>0000000=>0000000 [8,4,1,5,7,6,3,2]=>[1,5,8,4,2,3,6,7]=>1000000=>0000001 [8,1,6,3,5,2,4,7]=>[1,8,3,6,4,7,5,2]=>1000000=>0000001 [5,8,4,3,6,7,2,1]=>[4,1,5,6,3,2,7,8]=>0000011=>1100000 [6,8,2,1,5,3,4,7]=>[3,1,7,8,4,6,5,2]=>0000000=>0000000 [7,4,5,8,1,6,2,3]=>[2,5,4,1,8,3,7,6]=>0000000=>0000000 [8,4,3,6,2,7,1,5]=>[1,5,6,3,7,2,8,4]=>1000000=>0000001 [1,7,6,4,5,8,2,3]=>[8,2,3,5,4,1,7,6]=>0000000=>0000000 [7,6,2,8,5,1,3,4]=>[2,3,7,1,4,8,6,5]=>0000000=>0000000 [4,2,8,7,6,1,3,5]=>[5,7,1,2,3,8,6,4]=>0000000=>0000000 [4,3,7,2,8,1,6,5]=>[5,6,2,7,1,8,3,4]=>0000000=>0000000 [3,7,6,2,5,4,8,1]=>[6,2,3,7,4,5,1,8]=>0000001=>1000000 [8,1,3,7,6,2,5,4]=>[1,8,6,2,3,7,4,5]=>1000000=>0000001 [2,5,8,7,1,6,4,3]=>[7,4,1,2,8,3,5,6]=>0000000=>0000000 [8,6,1,2,4,5,3,7]=>[1,3,8,7,5,4,6,2]=>1000000=>0000001 [3,8,2,7,4,1,6,5]=>[6,1,7,2,5,8,3,4]=>0000000=>0000000 [3,8,4,7,2,1,6,5]=>[6,1,5,2,7,8,3,4]=>0000000=>0000000 [5,8,1,7,6,2,3,4]=>[4,1,8,2,3,7,6,5]=>0000000=>0000000 [4,1,8,6,5,2,3,7]=>[5,8,1,3,4,7,6,2]=>0000000=>0000000 [2,3,8,6,4,5,1,7]=>[7,6,1,3,5,4,8,2]=>0000000=>0000000 [7,4,3,8,5,6,2,1]=>[2,5,6,1,4,3,7,8]=>0000011=>1100000 [8,3,1,2,5,4,6,7]=>[1,6,8,7,4,5,3,2]=>1000000=>0000001 [4,6,7,2,1,5,3,8]=>[5,3,2,7,8,4,6,1]=>0000000=>0000000 [1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>0000000=>0000000 [5,7,1,6,2,3,4,8]=>[4,2,8,3,7,6,5,1]=>0000000=>0000000 [4,3,6,7,1,5,2,8]=>[5,6,3,2,8,4,7,1]=>0000000=>0000000 [7,5,4,1,8,6,2,3]=>[2,4,5,8,1,3,7,6]=>0000000=>0000000 [5,6,8,7,1,3,2,4]=>[4,3,1,2,8,6,7,5]=>0001000=>0001000 [6,3,7,5,1,4,2,8]=>[3,6,2,4,8,5,7,1]=>0000000=>0000000 [5,3,7,2,4,1,8,6]=>[4,6,2,7,5,8,1,3]=>0000000=>0000000 [5,1,4,6,7,3,2,8]=>[4,8,5,3,2,6,7,1]=>0000000=>0000000 [8,5,3,6,7,2,4,1]=>[1,4,6,3,2,7,5,8]=>1000001=>1000001 [1,8,4,5,6,7,2,3]=>[8,1,5,4,3,2,7,6]=>0000000=>0000000 [1,7,3,2,4,8,6,5]=>[8,2,6,7,5,1,3,4]=>0000000=>0000000 [6,4,1,3,8,7,5,2]=>[3,5,8,6,1,2,4,7]=>0000000=>0000000 [1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>0000000=>0000000 [2,7,5,1,4,8,3,6]=>[7,2,4,8,5,1,6,3]=>0000000=>0000000 [8,4,2,3,1,5,7,6]=>[1,5,7,6,8,4,2,3]=>1000000=>0000001 [4,5,2,6,1,3,8,7]=>[5,4,7,3,8,6,1,2]=>0000000=>0000000 [5,8,6,3,2,1,4,7]=>[4,1,3,6,7,8,5,2]=>0000000=>0000000 [7,4,5,6,8,1,3,2]=>[2,5,4,3,1,8,6,7]=>0000100=>0010000 [8,5,1,6,7,4,3,2]=>[1,4,8,3,2,5,6,7]=>1000000=>0000001 [8,6,2,7,5,1,4,3]=>[1,3,7,2,4,8,5,6]=>1000000=>0000001 [8,6,1,5,7,4,3,2]=>[1,3,8,4,2,5,6,7]=>1000000=>0000001 [8,5,6,1,7,4,3,2]=>[1,4,3,8,2,5,6,7]=>1000000=>0000001 [2,5,1,4,8,3,7,6]=>[7,4,8,5,1,6,2,3]=>0000000=>0000000 [1,2,5,4,8,3,7,6]=>[8,7,4,5,1,6,2,3]=>0000000=>0000000 [5,1,3,4,8,7,2,6]=>[4,8,6,5,1,2,7,3]=>0000000=>0000000 [1,5,3,4,8,7,2,6]=>[8,4,6,5,1,2,7,3]=>0000000=>0000000 [2,6,3,1,5,7,8,4]=>[7,3,6,8,4,2,1,5]=>0000000=>0000000 [4,6,2,5,1,7,8,3]=>[5,3,7,4,8,2,1,6]=>0000000=>0000000 [6,2,5,3,1,7,8,4]=>[3,7,4,6,8,2,1,5]=>0000000=>0000000 [2,3,5,1,7,6,4,8]=>[7,6,4,8,2,3,5,1]=>0000000=>0000000 [2,7,8,3,1,6,5,4]=>[7,2,1,6,8,3,4,5]=>0000000=>0000000 [1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>0000000=>0000000 [4,2,8,5,1,3,6,7]=>[5,7,1,4,8,6,3,2]=>0000000=>0000000 [8,1,3,6,4,2,5,7]=>[1,8,6,3,5,7,4,2]=>1000000=>0000001 [8,1,3,6,2,5,7,4]=>[1,8,6,3,7,4,2,5]=>1000000=>0000001 [8,1,2,5,7,4,6,3]=>[1,8,7,4,2,5,3,6]=>1000000=>0000001 [1,7,4,6,3,5,8,2]=>[8,2,5,3,6,4,1,7]=>0000000=>0000000 [5,2,7,1,4,8,3,6]=>[4,7,2,8,5,1,6,3]=>0000000=>0000000 [8,5,1,3,6,7,2,4]=>[1,4,8,6,3,2,7,5]=>1000000=>0000001 [8,2,5,7,4,1,3,6]=>[1,7,4,2,5,8,6,3]=>1000000=>0000001 [8,2,4,1,3,6,7,5]=>[1,7,5,8,6,3,2,4]=>1000000=>0000001 [8,2,5,1,4,7,3,6]=>[1,7,4,8,5,2,6,3]=>1000000=>0000001 [7,2,5,3,6,1,4,8]=>[2,7,4,6,3,8,5,1]=>0000000=>0000000 [8,2,5,3,6,1,4,7]=>[1,7,4,6,3,8,5,2]=>1000000=>0000001 [2,1,5,8,3,4,7,6]=>[7,8,4,1,6,5,2,3]=>0000000=>0000000 [4,7,1,8,2,3,6,5]=>[5,2,8,1,7,6,3,4]=>0000000=>0000000 [7,1,6,3,2,4,8,5]=>[2,8,3,6,7,5,1,4]=>0000000=>0000000 [3,8,7,1,2,6,4,5]=>[6,1,2,8,7,3,5,4]=>0000000=>0000000 [8,6,7,1,2,3,5,4]=>[1,3,2,8,7,6,4,5]=>1010000=>0000101 [6,7,1,2,3,8,5,4]=>[3,2,8,7,6,1,4,5]=>0000000=>0000000 [2,3,5,8,7,4,1,6]=>[7,6,4,1,2,5,8,3]=>0000000=>0000000 [2,3,5,8,7,4,6,1]=>[7,6,4,1,2,5,3,8]=>0000001=>1000000 [5,7,4,1,8,6,2,3]=>[4,2,5,8,1,3,7,6]=>0000000=>0000000 [1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>0000000=>0000000 [1,7,4,5,8,3,6,2]=>[8,2,5,4,1,6,3,7]=>0000000=>0000000 [2,8,3,1,7,4,5,6]=>[7,1,6,8,2,5,4,3]=>0000000=>0000000 [4,8,2,6,1,5,7,3]=>[5,1,7,3,8,4,2,6]=>0000000=>0000000 [6,3,2,7,4,1,5,8]=>[3,6,7,2,5,8,4,1]=>0000000=>0000000 [4,6,7,5,2,8,3,1]=>[5,3,2,4,7,1,6,8]=>0000001=>1000000 [4,6,7,3,1,5,8,2]=>[5,3,2,6,8,4,1,7]=>0000000=>0000000 [8,1,2,4,7,5,3,6]=>[1,8,7,5,2,4,6,3]=>1000000=>0000001 [8,5,1,2,4,7,3,6]=>[1,4,8,7,5,2,6,3]=>1000000=>0000001 [8,1,5,2,4,7,3,6]=>[1,8,4,7,5,2,6,3]=>1000000=>0000001 [8,5,7,1,4,2,3,6]=>[1,4,2,8,5,7,6,3]=>1000000=>0000001 [8,2,4,7,5,1,3,6]=>[1,7,5,2,4,8,6,3]=>1000000=>0000001 [4,1,5,3,6,7,2,8]=>[5,8,4,6,3,2,7,1]=>0000000=>0000000 [6,1,2,4,7,3,5,8]=>[3,8,7,5,2,6,4,1]=>0000000=>0000000 [5,8,1,4,2,6,7,3]=>[4,1,8,5,7,3,2,6]=>0000000=>0000000 [2,5,1,4,6,3,8,7]=>[7,4,8,5,3,6,1,2]=>0000000=>0000000 [5,8,7,3,1,2,4,6]=>[4,1,2,6,8,7,5,3]=>0000000=>0000000 [6,1,2,4,3,8,7,5]=>[3,8,7,5,6,1,2,4]=>0000000=>0000000 [7,3,4,1,2,6,8,5]=>[2,6,5,8,7,3,1,4]=>0000000=>0000000 [8,2,4,5,1,7,3,6]=>[1,7,5,4,8,2,6,3]=>1000000=>0000001 [8,4,3,7,1,5,6,2]=>[1,5,6,2,8,4,3,7]=>1000000=>0000001 [8,1,4,3,7,5,6,2]=>[1,8,5,6,2,4,3,7]=>1000000=>0000001 [8,3,7,1,4,5,6,2]=>[1,6,2,8,5,4,3,7]=>1000000=>0000001 [8,7,3,6,1,2,5,4]=>[1,2,6,3,8,7,4,5]=>1100000=>0000011 [8,7,2,3,6,1,5,4]=>[1,2,7,6,3,8,4,5]=>1100000=>0000011 [8,2,7,6,3,1,4,5]=>[1,7,2,3,6,8,5,4]=>1000000=>0000001 [5,8,2,7,3,1,6,4]=>[4,1,7,2,6,8,3,5]=>0000000=>0000000 [8,1,2,6,7,5,4,3]=>[1,8,7,3,2,4,5,6]=>1000000=>0000001 [8,4,1,7,5,6,2,3]=>[1,5,8,2,4,3,7,6]=>1000000=>0000001 [8,1,2,4,7,6,5,3]=>[1,8,7,5,2,3,4,6]=>1000000=>0000001 [8,2,4,7,6,5,1,3]=>[1,7,5,2,3,4,8,6]=>1000000=>0000001 [8,2,7,6,4,5,1,3]=>[1,7,2,3,5,4,8,6]=>1000000=>0000001 [8,2,4,7,3,6,5,1]=>[1,7,5,2,6,3,4,8]=>1000001=>1000001 [8,1,5,7,3,6,4,2]=>[1,8,4,2,6,3,5,7]=>1000000=>0000001 [8,1,4,7,3,6,5,2]=>[1,8,5,2,6,3,4,7]=>1000000=>0000001 [4,8,2,6,1,3,7,5]=>[5,1,7,3,8,6,2,4]=>0000000=>0000000 [5,8,2,7,3,1,4,6]=>[4,1,7,2,6,8,5,3]=>0000000=>0000000 [4,2,8,3,7,6,1,5]=>[5,7,1,6,2,3,8,4]=>0000000=>0000000 [8,5,7,3,1,2,4,6]=>[1,4,2,6,8,7,5,3]=>1000000=>0000001 [8,5,7,3,2,1,4,6]=>[1,4,2,6,7,8,5,3]=>1000000=>0000001 [8,4,2,6,3,5,7,1]=>[1,5,7,3,6,4,2,8]=>1000001=>1000001 [8,5,4,2,6,7,3,1]=>[1,4,5,7,3,2,6,8]=>1000001=>1000001 [1,7,2,6,8,4,5,3]=>[8,2,7,3,1,5,4,6]=>0000000=>0000000 [1,5,6,8,4,3,2,7]=>[8,4,3,1,5,6,7,2]=>0000000=>0000000 [6,3,2,1,5,7,8,4]=>[3,6,7,8,4,2,1,5]=>0000000=>0000000 [7,4,1,6,8,3,2,5]=>[2,5,8,3,1,6,7,4]=>0000000=>0000000 [1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000=>0000000 [8,4,1,6,7,3,2,5]=>[1,5,8,3,2,6,7,4]=>1000000=>0000001 [5,3,8,2,6,7,1,4]=>[4,6,1,7,3,2,8,5]=>0000000=>0000000 [5,3,4,1,2,6,8,7]=>[4,6,5,8,7,3,1,2]=>0000000=>0000000 [4,3,5,2,8,6,1,7]=>[5,6,4,7,1,3,8,2]=>0000000=>0000000 [3,4,8,5,6,1,2,7]=>[6,5,1,4,3,8,7,2]=>0000000=>0000000 [3,7,2,1,5,6,8,4]=>[6,2,7,8,4,3,1,5]=>0000000=>0000000 [3,8,1,7,2,5,4,6]=>[6,1,8,2,7,4,5,3]=>0000000=>0000000 [8,2,1,5,4,6,3,7]=>[1,7,8,4,5,3,6,2]=>1000000=>0000001 [8,1,6,4,3,5,2,7]=>[1,8,3,5,6,4,7,2]=>1000000=>0000001 [2,6,7,5,1,4,8,3]=>[7,3,2,4,8,5,1,6]=>0000000=>0000000 [5,6,8,2,1,4,7,3]=>[4,3,1,7,8,5,2,6]=>0000000=>0000000 [1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>0000000=>0000000 [4,6,8,5,3,7,2,1]=>[5,3,1,4,6,2,7,8]=>0000011=>1100000 [3,7,8,5,1,4,6,2]=>[6,2,1,4,8,5,3,7]=>0000000=>0000000 [3,5,1,7,8,4,6,2]=>[6,4,8,2,1,5,3,7]=>0000000=>0000000 [4,8,3,6,1,5,2,7]=>[5,1,6,3,8,4,7,2]=>0000000=>0000000 [8,3,6,2,4,1,7,5]=>[1,6,3,7,5,8,2,4]=>1000000=>0000001 [7,4,5,3,8,6,2,1]=>[2,5,4,6,1,3,7,8]=>0000011=>1100000 [6,2,4,3,5,8,1,7]=>[3,7,5,6,4,1,8,2]=>0000000=>0000000 [4,7,3,5,8,2,1,6]=>[5,2,6,4,1,7,8,3]=>0000000=>0000000 [4,3,6,1,8,5,2,7]=>[5,6,3,8,1,4,7,2]=>0000000=>0000000 [4,7,6,2,5,8,1,3]=>[5,2,3,7,4,1,8,6]=>0000000=>0000000 [7,6,3,1,5,8,2,4]=>[2,3,6,8,4,1,7,5]=>0000000=>0000000 [5,3,6,4,8,2,7,1]=>[4,6,3,5,1,7,2,8]=>0000001=>1000000 [4,6,1,8,5,2,3,7]=>[5,3,8,1,4,7,6,2]=>0000000=>0000000 [4,3,7,5,8,2,1,6]=>[5,6,2,4,1,7,8,3]=>0000000=>0000000 [1,5,8,6,2,7,4,3]=>[8,4,1,3,7,2,5,6]=>0000000=>0000000 [1,6,5,2,4,8,3,7]=>[8,3,4,7,5,1,6,2]=>0000000=>0000000 [1,6,2,7,4,3,8,5]=>[8,3,7,2,5,6,1,4]=>0000000=>0000000 [5,4,2,7,6,3,1,8]=>[4,5,7,2,3,6,8,1]=>0000000=>0000000 [1,3,5,8,7,2,6,4]=>[8,6,4,1,2,7,3,5]=>0000000=>0000000 [6,7,3,1,2,5,8,4]=>[3,2,6,8,7,4,1,5]=>0000000=>0000000 [3,6,7,2,1,5,8,4]=>[6,3,2,7,8,4,1,5]=>0000000=>0000000 [7,8,4,3,5,1,6,2]=>[2,1,5,6,4,8,3,7]=>0100000=>0000010 [2,8,1,3,5,7,6,4]=>[7,1,8,6,4,2,3,5]=>0000000=>0000000 [3,8,5,2,1,6,4,7]=>[6,1,4,7,8,3,5,2]=>0000000=>0000000 [6,4,8,7,3,1,2,5]=>[3,5,1,2,6,8,7,4]=>0000000=>0000000 [4,6,1,2,5,3,8,7]=>[5,3,8,7,4,6,1,2]=>0000000=>0000000 [3,2,7,6,8,4,5,1]=>[6,7,2,3,1,5,4,8]=>0000001=>1000000 [4,3,8,6,7,2,5,1]=>[5,6,1,3,2,7,4,8]=>0000001=>1000000 [4,3,8,5,6,2,7,1]=>[5,6,1,4,3,7,2,8]=>0000001=>1000000 [5,4,8,6,7,2,3,1]=>[4,5,1,3,2,7,6,8]=>0000101=>1010000 [7,3,4,2,8,5,6,1]=>[2,6,5,7,1,4,3,8]=>0000001=>1000000 [4,3,6,5,8,2,7,1]=>[5,6,3,4,1,7,2,8]=>0000001=>1000000 [7,2,8,3,6,4,5,1]=>[2,7,1,6,3,5,4,8]=>0000001=>1000000 [3,4,6,5,8,2,1,7]=>[6,5,3,4,1,7,8,2]=>0000000=>0000000 [5,3,4,6,8,1,2,7]=>[4,6,5,3,1,8,7,2]=>0000000=>0000000 [1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>0000000=>0000000 [7,3,4,2,8,6,1,5]=>[2,6,5,7,1,3,8,4]=>0000000=>0000000 [7,1,8,2,4,3,5,6]=>[2,8,1,7,5,6,4,3]=>0000000=>0000000 [7,6,1,8,3,4,2,5]=>[2,3,8,1,6,5,7,4]=>0000000=>0000000 [6,4,2,3,8,7,5,1]=>[3,5,7,6,1,2,4,8]=>0000001=>1000000 [5,1,3,2,7,6,4,8]=>[4,8,6,7,2,3,5,1]=>0000000=>0000000 [5,1,3,2,8,7,6,4]=>[4,8,6,7,1,2,3,5]=>0000000=>0000000 [5,1,3,2,8,6,4,7]=>[4,8,6,7,1,3,5,2]=>0000000=>0000000 [6,5,1,3,8,4,2,7]=>[3,4,8,6,1,5,7,2]=>0000000=>0000000 [6,1,4,2,7,8,3,5]=>[3,8,5,7,2,1,6,4]=>0000000=>0000000 [6,5,1,3,7,8,4,2]=>[3,4,8,6,2,1,5,7]=>0000000=>0000000 [6,4,2,3,7,8,5,1]=>[3,5,7,6,2,1,4,8]=>0000001=>1000000 [4,1,3,2,6,5,7,8]=>[5,8,6,7,3,4,2,1]=>0000000=>0000000 [4,1,3,2,7,8,6,5]=>[5,8,6,7,2,1,3,4]=>0000000=>0000000 [5,6,8,2,4,7,1,3]=>[4,3,1,7,5,2,8,6]=>0000000=>0000000 [5,6,7,1,4,8,2,3]=>[4,3,2,8,5,1,7,6]=>0000000=>0000000 [4,1,3,2,7,6,5,8]=>[5,8,6,7,2,3,4,1]=>0000000=>0000000 [4,1,3,2,7,5,6,8]=>[5,8,6,7,2,4,3,1]=>0000000=>0000000 [6,7,4,2,3,8,5,1]=>[3,2,5,7,6,1,4,8]=>0000001=>1000000 [5,6,1,4,7,3,2,8]=>[4,3,8,5,2,6,7,1]=>0000000=>0000000 [5,8,6,1,4,7,3,2]=>[4,1,3,8,5,2,6,7]=>0000000=>0000000 [4,1,3,2,6,7,5,8]=>[5,8,6,7,3,2,4,1]=>0000000=>0000000 [4,1,3,2,5,8,7,6]=>[5,8,6,7,4,1,2,3]=>0000000=>0000000 [4,1,3,2,5,8,6,7]=>[5,8,6,7,4,1,3,2]=>0000000=>0000000 [4,1,3,2,6,8,5,7]=>[5,8,6,7,3,1,4,2]=>0000000=>0000000 [5,1,3,2,6,8,4,7]=>[4,8,6,7,3,1,5,2]=>0000000=>0000000 [5,7,1,4,6,8,2,3]=>[4,2,8,5,3,1,7,6]=>0000000=>0000000 [5,7,8,3,2,4,6,1]=>[4,2,1,6,7,5,3,8]=>0000001=>1000000 [4,1,3,2,5,6,8,7]=>[5,8,6,7,4,3,1,2]=>0000000=>0000000 [1,4,3,8,2,5,7,6]=>[8,5,6,1,7,4,2,3]=>0000000=>0000000 [3,6,1,5,8,2,7,4]=>[6,3,8,4,1,7,2,5]=>0000000=>0000000 [5,3,4,7,8,6,2,1]=>[4,6,5,2,1,3,7,8]=>0000011=>1100000 [2,3,8,4,5,6,1,7]=>[7,6,1,5,4,3,8,2]=>0000000=>0000000 [3,4,2,1,6,8,5,7]=>[6,5,7,8,3,1,4,2]=>0000000=>0000000 [5,7,2,8,4,3,1,6]=>[4,2,7,1,5,6,8,3]=>0000000=>0000000 [6,8,7,4,2,5,1,3]=>[3,1,2,5,7,4,8,6]=>0010000=>0000100 [8,5,2,3,1,6,7,4]=>[1,4,7,6,8,3,2,5]=>1000000=>0000001 [2,8,6,1,5,4,7,3]=>[7,1,3,8,4,5,2,6]=>0000000=>0000000 [3,8,6,2,5,4,7,1]=>[6,1,3,7,4,5,2,8]=>0000001=>1000000 [2,8,1,6,5,3,7,4]=>[7,1,8,3,4,6,2,5]=>0000000=>0000000 [8,5,3,1,4,6,2,7]=>[1,4,6,8,5,3,7,2]=>1000000=>0000001 [4,5,8,6,2,7,1,3]=>[5,4,1,3,7,2,8,6]=>0000000=>0000000 [7,5,6,3,2,8,4,1]=>[2,4,3,6,7,1,5,8]=>0000001=>1000000 [8,4,7,5,6,3,1,2]=>[1,5,2,4,3,6,8,7]=>1000110=>0110001 [5,6,8,2,1,7,3,4]=>[4,3,1,7,8,2,6,5]=>0000000=>0000000 [6,8,1,3,2,7,5,4]=>[3,1,8,6,7,2,4,5]=>0000000=>0000000 [2,8,6,3,1,7,5,4]=>[7,1,3,6,8,2,4,5]=>0000000=>0000000 [8,6,1,2,3,7,5,4]=>[1,3,8,7,6,2,4,5]=>1000000=>0000001 [5,1,3,7,4,2,6,8]=>[4,8,6,2,5,7,3,1]=>0000000=>0000000 [1,8,7,2,3,4,5,6]=>[8,1,2,7,6,5,4,3]=>0000000=>0000000 [3,4,6,7,2,1,8,5]=>[6,5,3,2,7,8,1,4]=>0000000=>0000000 [3,7,5,2,8,1,4,6]=>[6,2,4,7,1,8,5,3]=>0000000=>0000000 [3,2,5,1,4,8,6,7]=>[6,7,4,8,5,1,3,2]=>0000000=>0000000 [4,7,8,5,1,3,6,2]=>[5,2,1,4,8,6,3,7]=>0000000=>0000000 [2,4,8,1,5,3,6,7]=>[7,5,1,8,4,6,3,2]=>0000000=>0000000 [6,4,5,2,8,1,3,7]=>[3,5,4,7,1,8,6,2]=>0000000=>0000000 [4,6,1,3,7,2,8,5]=>[5,3,8,6,2,7,1,4]=>0000000=>0000000 [2,6,3,4,8,5,1,7]=>[7,3,6,5,1,4,8,2]=>0000000=>0000000 [3,2,7,5,8,4,6,1]=>[6,7,2,4,1,5,3,8]=>0000001=>1000000 [7,8,4,3,2,6,5,1]=>[2,1,5,6,7,3,4,8]=>0100001=>1000010 [5,6,3,4,2,8,7,1]=>[4,3,6,5,7,1,2,8]=>0000001=>1000000 [3,2,7,5,8,1,6,4]=>[6,7,2,4,1,8,3,5]=>0000000=>0000000 [1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>0000000=>0000000 [4,2,7,3,1,5,8,6]=>[5,7,2,6,8,4,1,3]=>0000000=>0000000 [6,2,7,3,1,4,8,5]=>[3,7,2,6,8,5,1,4]=>0000000=>0000000 [5,4,7,8,3,6,1,2]=>[4,5,2,1,6,3,8,7]=>0000010=>0100000 [8,6,2,7,3,4,1,5]=>[1,3,7,2,6,5,8,4]=>1000000=>0000001 [8,6,1,7,3,4,2,5]=>[1,3,8,2,6,5,7,4]=>1000000=>0000001 [6,1,8,7,4,5,2,3]=>[3,8,1,2,5,4,7,6]=>0000000=>0000000 [5,8,2,7,3,6,4,1]=>[4,1,7,2,6,3,5,8]=>0000001=>1000000 [4,8,2,5,6,3,7,1]=>[5,1,7,4,3,6,2,8]=>0000001=>1000000 [8,1,5,7,4,6,2,3]=>[1,8,4,2,5,3,7,6]=>1000000=>0000001 [4,5,7,1,6,3,8,2]=>[5,4,2,8,3,6,1,7]=>0000000=>0000000 [6,8,2,7,3,1,5,4]=>[3,1,7,2,6,8,4,5]=>0000000=>0000000 [5,6,8,3,7,4,2,1]=>[4,3,1,6,2,5,7,8]=>0000011=>1100000 [4,5,7,2,6,8,1,3]=>[5,4,2,7,3,1,8,6]=>0000000=>0000000 [2,7,1,4,8,3,6,5]=>[7,2,8,5,1,6,3,4]=>0000000=>0000000 [3,5,7,2,6,8,4,1]=>[6,4,2,7,3,1,5,8]=>0000001=>1000000 [2,3,1,8,7,4,6,5]=>[7,6,8,1,2,5,3,4]=>0000000=>0000000 [4,6,8,2,1,5,3,7]=>[5,3,1,7,8,4,6,2]=>0000000=>0000000 [5,6,8,4,7,2,3,1]=>[4,3,1,5,2,7,6,8]=>0000101=>1010000 [6,8,3,7,1,2,5,4]=>[3,1,6,2,8,7,4,5]=>0000000=>0000000 [4,5,8,2,6,1,7,3]=>[5,4,1,7,3,8,2,6]=>0000000=>0000000 [4,5,6,8,3,2,7,1]=>[5,4,3,1,6,7,2,8]=>0000001=>1000000 [4,6,5,7,2,3,8,1]=>[5,3,4,2,7,6,1,8]=>0000001=>1000000 [4,6,7,8,2,1,3,5]=>[5,3,2,1,7,8,6,4]=>0000000=>0000000 [5,6,2,4,7,8,3,1]=>[4,3,7,5,2,1,6,8]=>0000001=>1000000 [5,2,6,4,8,7,3,1]=>[4,7,3,5,1,2,6,8]=>0000001=>1000000 [6,7,2,5,3,4,8,1]=>[3,2,7,4,6,5,1,8]=>0000001=>1000000 [2,7,6,4,3,5,8,1]=>[7,2,3,5,6,4,1,8]=>0000001=>1000000 [3,1,5,8,7,6,2,4]=>[6,8,4,1,2,3,7,5]=>0000000=>0000000 [3,8,1,4,6,2,5,7]=>[6,1,8,5,3,7,4,2]=>0000000=>0000000 [1,8,3,4,6,2,7,5]=>[8,1,6,5,3,7,2,4]=>0000000=>0000000 [2,3,5,6,8,7,1,4]=>[7,6,4,3,1,2,8,5]=>0000000=>0000000 [1,3,6,4,8,2,7,5]=>[8,6,3,5,1,7,2,4]=>0000000=>0000000 [1,5,3,4,8,2,7,6]=>[8,4,6,5,1,7,2,3]=>0000000=>0000000 [2,4,5,3,8,7,1,6]=>[7,5,4,6,1,2,8,3]=>0000000=>0000000 [6,7,4,3,8,2,1,5]=>[3,2,5,6,1,7,8,4]=>0000000=>0000000 [8,2,5,3,7,6,1,4]=>[1,7,4,6,2,3,8,5]=>1000000=>0000001 [1,3,5,2,6,8,7,4]=>[8,6,4,7,3,1,2,5]=>0000000=>0000000 [4,7,5,6,2,8,1,3]=>[5,2,4,3,7,1,8,6]=>0000000=>0000000 [3,1,8,4,5,2,6,7]=>[6,8,1,5,4,7,3,2]=>0000000=>0000000 [3,1,5,8,7,4,6,2]=>[6,8,4,1,2,5,3,7]=>0000000=>0000000 [2,3,5,8,4,7,1,6]=>[7,6,4,1,5,2,8,3]=>0000000=>0000000 [1,5,8,4,6,2,7,3]=>[8,4,1,5,3,7,2,6]=>0000000=>0000000 [6,7,4,8,5,2,1,3]=>[3,2,5,1,4,7,8,6]=>0000100=>0010000 [2,8,5,6,4,7,1,3]=>[7,1,4,3,5,2,8,6]=>0000000=>0000000 [8,4,6,7,3,5,2,1]=>[1,5,3,2,6,4,7,8]=>1000011=>1100001 [7,4,5,8,3,6,2,1]=>[2,5,4,1,6,3,7,8]=>0000011=>1100000 [8,4,7,3,5,6,2,1]=>[1,5,2,6,4,3,7,8]=>1000011=>1100001 [4,5,8,7,3,2,6,1]=>[5,4,1,2,6,7,3,8]=>0000001=>1000000 [6,8,7,5,1,3,2,4]=>[3,1,2,4,8,6,7,5]=>0011000=>0001100 [1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>0000000=>0000000 [6,4,8,5,7,3,1,2]=>[3,5,1,4,2,6,8,7]=>0000110=>0110000 [7,2,6,4,5,8,1,3]=>[2,7,3,5,4,1,8,6]=>0000000=>0000000 [3,8,5,2,6,7,1,4]=>[6,1,4,7,3,2,8,5]=>0000000=>0000000 [8,1,6,5,2,7,4,3]=>[1,8,3,4,7,2,5,6]=>1000000=>0000001 [2,7,1,5,3,8,6,4]=>[7,2,8,4,6,1,3,5]=>0000000=>0000000 [3,5,7,2,8,4,1,6]=>[6,4,2,7,1,5,8,3]=>0000000=>0000000 [4,3,7,2,8,5,1,6]=>[5,6,2,7,1,4,8,3]=>0000000=>0000000 [7,3,2,1,4,8,6,5]=>[2,6,7,8,5,1,3,4]=>0000000=>0000000 [7,3,4,6,2,5,8,1]=>[2,6,5,3,7,4,1,8]=>0000001=>1000000 [7,2,4,6,3,5,8,1]=>[2,7,5,3,6,4,1,8]=>0000001=>1000000 [7,3,6,2,4,5,8,1]=>[2,6,3,7,5,4,1,8]=>0000001=>1000000 [8,2,4,7,6,1,5,3]=>[1,7,5,2,3,8,4,6]=>1000000=>0000001 [5,7,1,6,8,3,4,2]=>[4,2,8,3,1,6,5,7]=>0000000=>0000000 [1,6,7,3,5,8,4,2]=>[8,3,2,6,4,1,5,7]=>0000000=>0000000 [8,7,1,6,3,5,2,4]=>[1,2,8,3,6,4,7,5]=>1100000=>0000011 [8,7,2,3,6,5,1,4]=>[1,2,7,6,3,4,8,5]=>1100000=>0000011 [8,3,7,2,6,5,1,4]=>[1,6,2,7,3,4,8,5]=>1000000=>0000001 [7,8,2,6,1,4,5,3]=>[2,1,7,3,8,5,4,6]=>0100000=>0000010 [7,3,6,8,1,4,5,2]=>[2,6,3,1,8,5,4,7]=>0000000=>0000000 [7,8,6,1,4,5,2,3]=>[2,1,3,8,5,4,7,6]=>0110000=>0000110 [2,8,1,5,7,6,4,3]=>[7,1,8,4,2,3,5,6]=>0000000=>0000000 [7,8,1,5,6,4,2,3]=>[2,1,8,4,3,5,7,6]=>0100000=>0000010 [1,6,4,7,5,8,3,2]=>[8,3,5,2,4,1,6,7]=>0000000=>0000000 [7,4,5,1,6,8,3,2]=>[2,5,4,8,3,1,6,7]=>0000000=>0000000 [8,1,2,5,7,6,4,3]=>[1,8,7,4,2,3,5,6]=>1000000=>0000001 [7,5,8,2,6,1,4,3]=>[2,4,1,7,3,8,5,6]=>0000000=>0000000 [8,7,2,6,3,5,1,4]=>[1,2,7,3,6,4,8,5]=>1100000=>0000011 [8,7,2,6,1,3,5,4]=>[1,2,7,3,8,6,4,5]=>1100000=>0000011 [1,6,7,8,2,5,4,3]=>[8,3,2,1,7,4,5,6]=>0000000=>0000000 [8,7,1,3,6,5,2,4]=>[1,2,8,6,3,4,7,5]=>1100000=>0000011 [8,7,2,6,1,5,3,4]=>[1,2,7,3,8,4,6,5]=>1100000=>0000011 [4,6,7,5,1,8,2,3]=>[5,3,2,4,8,1,7,6]=>0000000=>0000000 [8,5,1,3,2,4,6,7]=>[1,4,8,6,7,5,3,2]=>1000000=>0000001 [3,8,5,1,2,4,6,7]=>[6,1,4,8,7,5,3,2]=>0000000=>0000000 [5,1,3,2,4,6,8,7]=>[4,8,6,7,5,3,1,2]=>0000000=>0000000 [5,3,8,1,4,2,6,7]=>[4,6,1,8,5,7,3,2]=>0000000=>0000000 [4,8,7,5,1,2,3,6]=>[5,1,2,4,8,7,6,3]=>0000000=>0000000 [8,6,4,1,2,3,7,5]=>[1,3,5,8,7,6,2,4]=>1000000=>0000001 [7,3,4,1,8,6,2,5]=>[2,6,5,8,1,3,7,4]=>0000000=>0000000 [8,4,7,2,1,6,3,5]=>[1,5,2,7,8,3,6,4]=>1000000=>0000001 [8,1,5,3,6,7,2,4]=>[1,8,4,6,3,2,7,5]=>1000000=>0000001 [1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>0000000=>0000000 [4,5,2,6,1,8,3,7]=>[5,4,7,3,8,1,6,2]=>0000000=>0000000 [7,1,5,6,8,3,4,2]=>[2,8,4,3,1,6,5,7]=>0000000=>0000000 [8,6,7,1,2,5,4,3]=>[1,3,2,8,7,4,5,6]=>1010000=>0000101 [6,7,4,1,2,8,5,3]=>[3,2,5,8,7,1,4,6]=>0000000=>0000000 [7,6,4,1,2,5,3,8]=>[2,3,5,8,7,4,6,1]=>0000000=>0000000 [6,5,7,1,3,2,4,8]=>[3,4,2,8,6,7,5,1]=>0000000=>0000000 [6,3,1,7,4,5,2,8]=>[3,6,8,2,5,4,7,1]=>0000000=>0000000 [5,8,3,4,7,6,1,2]=>[4,1,6,5,2,3,8,7]=>0000010=>0100000 [1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>0000000=>0000000 [6,4,2,8,5,7,3,1]=>[3,5,7,1,4,2,6,8]=>0000001=>1000000 [5,6,2,8,4,7,3,1]=>[4,3,7,1,5,2,6,8]=>0000001=>1000000 [5,7,3,2,8,6,4,1]=>[4,2,6,7,1,3,5,8]=>0000001=>1000000 [5,3,1,6,8,4,2,7]=>[4,6,8,3,1,5,7,2]=>0000000=>0000000 [4,5,1,6,8,2,7,3]=>[5,4,8,3,1,7,2,6]=>0000000=>0000000 [4,3,6,2,1,5,7,8]=>[5,6,3,7,8,4,2,1]=>0000000=>0000000 [8,2,7,4,1,6,5,3]=>[1,7,2,5,8,3,4,6]=>1000000=>0000001 [2,1,5,4,8,6,3,7]=>[7,8,4,5,1,3,6,2]=>0000000=>0000000 [7,2,8,4,3,6,5,1]=>[2,7,1,5,6,3,4,8]=>0000001=>1000000 [3,7,5,4,6,1,8,2]=>[6,2,4,5,3,8,1,7]=>0000000=>0000000 [6,5,2,4,1,7,3,8]=>[3,4,7,5,8,2,6,1]=>0000000=>0000000 [6,3,5,4,1,2,7,8]=>[3,6,4,5,8,7,2,1]=>0000000=>0000000 [3,7,6,2,5,4,1,8]=>[6,2,3,7,4,5,8,1]=>0000000=>0000000 [5,7,2,3,6,4,1,8]=>[4,2,7,6,3,5,8,1]=>0000000=>0000000 [8,1,4,5,7,2,6,3]=>[1,8,5,4,2,7,3,6]=>1000000=>0000001 [8,1,4,5,7,3,6,2]=>[1,8,5,4,2,6,3,7]=>1000000=>0000001 [8,3,6,7,1,4,5,2]=>[1,6,3,2,8,5,4,7]=>1000000=>0000001 [2,4,7,8,5,3,1,6]=>[7,5,2,1,4,6,8,3]=>0000000=>0000000 [8,2,7,1,4,5,3,6]=>[1,7,2,8,5,4,6,3]=>1000000=>0000001 [8,1,5,2,3,4,7,6]=>[1,8,4,7,6,5,2,3]=>1000000=>0000001 [8,6,5,3,4,1,7,2]=>[1,3,4,6,5,8,2,7]=>1000000=>0000001 [8,3,6,5,4,1,7,2]=>[1,6,3,4,5,8,2,7]=>1000000=>0000001 [5,4,7,8,6,1,2,3]=>[4,5,2,1,3,8,7,6]=>0000100=>0010000 [1,7,8,2,4,6,5,3]=>[8,2,1,7,5,3,4,6]=>0000000=>0000000 [7,1,2,4,5,3,6,8]=>[2,8,7,5,4,6,3,1]=>0000000=>0000000 [7,1,5,8,2,3,6,4]=>[2,8,4,1,7,6,3,5]=>0000000=>0000000 [5,7,4,3,1,2,8,6]=>[4,2,5,6,8,7,1,3]=>0000000=>0000000 [6,5,7,4,1,3,2,8]=>[3,4,2,5,8,6,7,1]=>0000000=>0000000 [7,2,4,5,8,1,3,6]=>[2,7,5,4,1,8,6,3]=>0000000=>0000000 [4,7,3,1,2,8,6,5]=>[5,2,6,8,7,1,3,4]=>0000000=>0000000 [1,4,7,3,2,8,6,5]=>[8,5,2,6,7,1,3,4]=>0000000=>0000000 [8,7,1,5,4,3,2,6]=>[1,2,8,4,5,6,7,3]=>1100000=>0000011 [4,6,5,2,8,1,3,7]=>[5,3,4,7,1,8,6,2]=>0000000=>0000000 [4,8,5,7,1,2,3,6]=>[5,1,4,2,8,7,6,3]=>0000000=>0000000 [8,3,6,7,4,1,2,5]=>[1,6,3,2,5,8,7,4]=>1000000=>0000001 [8,4,6,3,1,7,2,5]=>[1,5,3,6,8,2,7,4]=>1000000=>0000001 [1,5,7,6,2,8,4,3]=>[8,4,2,3,7,1,5,6]=>0000000=>0000000 [5,2,4,6,8,7,1,3]=>[4,7,5,3,1,2,8,6]=>0000000=>0000000 [2,7,5,1,4,6,8,3]=>[7,2,4,8,5,3,1,6]=>0000000=>0000000 [5,8,6,4,3,1,2,7]=>[4,1,3,5,6,8,7,2]=>0000000=>0000000 [7,6,4,1,3,2,8,5]=>[2,3,5,8,6,7,1,4]=>0000000=>0000000 [5,6,7,1,4,3,2,8]=>[4,3,2,8,5,6,7,1]=>0000000=>0000000 [6,2,5,1,7,8,3,4]=>[3,7,4,8,2,1,6,5]=>0000000=>0000000 [1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>0000000=>0000000 [5,7,6,2,8,1,3,4]=>[4,2,3,7,1,8,6,5]=>0000000=>0000000 [6,7,4,3,1,2,8,5]=>[3,2,5,6,8,7,1,4]=>0000000=>0000000 [2,6,1,4,8,5,7,3]=>[7,3,8,5,1,4,2,6]=>0000000=>0000000 [1,3,8,5,2,6,4,7]=>[8,6,1,4,7,3,5,2]=>0000000=>0000000 [4,6,3,2,7,1,5,8]=>[5,3,6,7,2,8,4,1]=>0000000=>0000000 [1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>0000000=>0000000 [8,3,6,7,4,2,1,5]=>[1,6,3,2,5,7,8,4]=>1000000=>0000001 [2,4,6,5,8,3,1,7]=>[7,5,3,4,1,6,8,2]=>0000000=>0000000 [4,3,2,7,6,1,8,5]=>[5,6,7,2,3,8,1,4]=>0000000=>0000000 [2,5,4,6,8,3,1,7]=>[7,4,5,3,1,6,8,2]=>0000000=>0000000 [4,3,2,7,1,8,6,5]=>[5,6,7,2,8,1,3,4]=>0000000=>0000000 [4,6,2,5,7,1,3,8]=>[5,3,7,4,2,8,6,1]=>0000000=>0000000 [4,5,7,1,3,6,2,8]=>[5,4,2,8,6,3,7,1]=>0000000=>0000000 [5,7,8,3,6,2,4,1]=>[4,2,1,6,3,7,5,8]=>0000001=>1000000 [5,7,8,6,2,1,3,4]=>[4,2,1,3,7,8,6,5]=>0001000=>0001000 [5,7,8,1,6,2,3,4]=>[4,2,1,8,3,7,6,5]=>0000000=>0000000 [1,4,8,7,3,2,6,5]=>[8,5,1,2,6,7,3,4]=>0000000=>0000000 [5,1,7,3,6,4,2,8]=>[4,8,2,6,3,5,7,1]=>0000000=>0000000 [6,2,5,7,8,4,3,1]=>[3,7,4,2,1,5,6,8]=>0000001=>1000000 [6,7,5,1,3,2,8,4]=>[3,2,4,8,6,7,1,5]=>0000000=>0000000 [5,8,3,2,4,1,7,6]=>[4,1,6,7,5,8,2,3]=>0000000=>0000000 [5,6,3,2,4,8,7,1]=>[4,3,6,7,5,1,2,8]=>0000001=>1000000 [5,6,2,8,3,1,7,4]=>[4,3,7,1,6,8,2,5]=>0000000=>0000000 [5,6,2,4,3,1,7,8]=>[4,3,7,5,6,8,2,1]=>0000000=>0000000 [5,8,2,6,3,4,7,1]=>[4,1,7,3,6,5,2,8]=>0000001=>1000000 [6,1,8,5,7,3,4,2]=>[3,8,1,4,2,6,5,7]=>0000000=>0000000 [5,8,6,2,4,3,1,7]=>[4,1,3,7,5,6,8,2]=>0000000=>0000000 [5,7,6,2,4,3,8,1]=>[4,2,3,7,5,6,1,8]=>0000001=>1000000 [6,1,7,5,8,3,2,4]=>[3,8,2,4,1,6,7,5]=>0000000=>0000000 [6,1,4,3,7,5,8,2]=>[3,8,5,6,2,4,1,7]=>0000000=>0000000 [7,1,4,3,6,2,8,5]=>[2,8,5,6,3,7,1,4]=>0000000=>0000000 [6,1,3,4,8,5,2,7]=>[3,8,6,5,1,4,7,2]=>0000000=>0000000 [6,1,7,8,5,3,2,4]=>[3,8,2,1,4,6,7,5]=>0000000=>0000000 [6,1,7,4,5,3,2,8]=>[3,8,2,5,4,6,7,1]=>0000000=>0000000 [7,1,2,6,5,4,8,3]=>[2,8,7,3,4,5,1,6]=>0000000=>0000000 [7,1,2,4,6,5,8,3]=>[2,8,7,5,3,4,1,6]=>0000000=>0000000 [6,4,7,5,1,8,3,2]=>[3,5,2,4,8,1,6,7]=>0000000=>0000000 [3,2,5,8,4,1,6,7]=>[6,7,4,1,5,8,3,2]=>0000000=>0000000 [5,3,1,4,8,6,2,7]=>[4,6,8,5,1,3,7,2]=>0000000=>0000000 [8,7,3,5,4,1,6,2]=>[1,2,6,4,5,8,3,7]=>1100000=>0000011 [8,4,7,5,3,1,6,2]=>[1,5,2,4,6,8,3,7]=>1000000=>0000001 [7,2,8,5,6,3,1,4]=>[2,7,1,4,3,6,8,5]=>0000000=>0000000 [8,6,2,4,1,7,5,3]=>[1,3,7,5,8,2,4,6]=>1000000=>0000001 [1,5,6,2,8,7,3,4]=>[8,4,3,7,1,2,6,5]=>0000000=>0000000 [1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000=>0000000 [2,7,8,3,6,4,1,5]=>[7,2,1,6,3,5,8,4]=>0000000=>0000000 [3,7,8,1,6,4,2,5]=>[6,2,1,8,3,5,7,4]=>0000000=>0000000 [8,5,3,7,6,2,1,4]=>[1,4,6,2,3,7,8,5]=>1000000=>0000001 [8,1,5,7,6,3,2,4]=>[1,8,4,2,3,6,7,5]=>1000000=>0000001 [1,8,6,7,5,3,2,4]=>[8,1,3,2,4,6,7,5]=>0000000=>0000000 [5,2,8,6,1,7,4,3]=>[4,7,1,3,8,2,5,6]=>0000000=>0000000 [8,5,3,1,7,6,2,4]=>[1,4,6,8,2,3,7,5]=>1000000=>0000001 [6,4,1,8,2,7,5,3]=>[3,5,8,1,7,2,4,6]=>0000000=>0000000 [3,8,4,1,7,6,2,5]=>[6,1,5,8,2,3,7,4]=>0000000=>0000000 [6,8,2,7,1,4,3,5]=>[3,1,7,2,8,5,6,4]=>0000000=>0000000 [6,2,7,1,3,8,4,5]=>[3,7,2,8,6,1,5,4]=>0000000=>0000000 [2,6,1,5,8,3,7,4]=>[7,3,8,4,1,6,2,5]=>0000000=>0000000 [7,2,4,1,8,5,3,6]=>[2,7,5,8,1,4,6,3]=>0000000=>0000000 [3,2,8,6,1,4,5,7]=>[6,7,1,3,8,5,4,2]=>0000000=>0000000 [6,8,3,5,2,1,4,7]=>[3,1,6,4,7,8,5,2]=>0000000=>0000000 [7,3,2,1,4,6,8,5]=>[2,6,7,8,5,3,1,4]=>0000000=>0000000 [6,5,3,2,1,7,8,4]=>[3,4,6,7,8,2,1,5]=>0000000=>0000000 [8,7,3,5,2,1,6,4]=>[1,2,6,4,7,8,3,5]=>1100000=>0000011 [1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>0000000=>0000000 [6,1,3,5,2,4,8,7]=>[3,8,6,4,7,5,1,2]=>0000000=>0000000 [7,3,5,1,4,2,6,8]=>[2,6,4,8,5,7,3,1]=>0000000=>0000000 [7,3,5,2,1,6,4,8]=>[2,6,4,7,8,3,5,1]=>0000000=>0000000 [3,7,6,2,5,8,4,1]=>[6,2,3,7,4,1,5,8]=>0000001=>1000000 [8,5,2,7,4,3,6,1]=>[1,4,7,2,5,6,3,8]=>1000001=>1000001 [7,4,2,8,5,3,6,1]=>[2,5,7,1,4,6,3,8]=>0000001=>1000000 [6,8,5,7,2,1,4,3]=>[3,1,4,2,7,8,5,6]=>0001000=>0001000 [8,3,6,5,7,2,4,1]=>[1,6,3,4,2,7,5,8]=>1000001=>1000001 [4,6,1,5,8,3,2,7]=>[5,3,8,4,1,6,7,2]=>0000000=>0000000 [4,6,1,8,5,3,2,7]=>[5,3,8,1,4,6,7,2]=>0000000=>0000000 [6,8,1,5,4,3,2,7]=>[3,1,8,4,5,6,7,2]=>0000000=>0000000 [7,8,5,1,3,4,6,2]=>[2,1,4,8,6,5,3,7]=>0100000=>0000010 [7,6,2,1,4,8,5,3]=>[2,3,7,8,5,1,4,6]=>0000000=>0000000 [2,7,8,1,4,6,5,3]=>[7,2,1,8,5,3,4,6]=>0000000=>0000000 [2,8,7,1,5,4,6,3]=>[7,1,2,8,4,5,3,6]=>0000000=>0000000 [3,7,8,2,1,4,5,6]=>[6,2,1,7,8,5,4,3]=>0000000=>0000000 [1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>0000000=>0000000 [8,6,5,2,4,1,7,3]=>[1,3,4,7,5,8,2,6]=>1000000=>0000001 [5,1,4,6,3,7,2,8]=>[4,8,5,3,6,2,7,1]=>0000000=>0000000 [1,4,6,5,2,3,7,8]=>[8,5,3,4,7,6,2,1]=>0000000=>0000000 [3,8,6,1,2,7,5,4]=>[6,1,3,8,7,2,4,5]=>0000000=>0000000 [6,1,4,3,7,2,8,5]=>[3,8,5,6,2,7,1,4]=>0000000=>0000000 [5,7,4,3,1,6,8,2]=>[4,2,5,6,8,3,1,7]=>0000000=>0000000 [2,8,3,5,6,4,1,7]=>[7,1,6,4,3,5,8,2]=>0000000=>0000000 [5,4,1,6,3,8,2,7]=>[4,5,8,3,6,1,7,2]=>0000000=>0000000 [3,7,4,5,8,1,2,6]=>[6,2,5,4,1,8,7,3]=>0000000=>0000000 [3,7,4,5,8,1,6,2]=>[6,2,5,4,1,8,3,7]=>0000000=>0000000 [1,4,3,5,6,8,2,7]=>[8,5,6,4,3,1,7,2]=>0000000=>0000000 [4,7,3,5,1,2,8,6]=>[5,2,6,4,8,7,1,3]=>0000000=>0000000 [8,7,3,1,5,2,6,4]=>[1,2,6,8,4,7,3,5]=>1100000=>0000011 [3,8,4,1,7,5,2,6]=>[6,1,5,8,2,4,7,3]=>0000000=>0000000 [8,7,5,1,6,3,2,4]=>[1,2,4,8,3,6,7,5]=>1100000=>0000011 [5,8,7,3,6,2,4,1]=>[4,1,2,6,3,7,5,8]=>0000001=>1000000 [8,7,1,5,6,4,2,3]=>[1,2,8,4,3,5,7,6]=>1100000=>0000011 [8,7,3,6,1,4,5,2]=>[1,2,6,3,8,5,4,7]=>1100000=>0000011 [8,7,3,4,6,2,5,1]=>[1,2,6,5,3,7,4,8]=>1100001=>1000011 [8,7,1,4,6,3,5,2]=>[1,2,8,5,3,6,4,7]=>1100000=>0000011 [8,3,5,7,2,6,4,1]=>[1,6,4,2,7,3,5,8]=>1000001=>1000001 [6,8,2,1,3,7,5,4]=>[3,1,7,8,6,2,4,5]=>0000000=>0000000 [8,1,6,7,3,5,4,2]=>[1,8,3,2,6,4,5,7]=>1000000=>0000001 [8,7,3,6,2,4,5,1]=>[1,2,6,3,7,5,4,8]=>1100001=>1000011 [8,5,3,1,7,6,4,2]=>[1,4,6,8,2,3,5,7]=>1000000=>0000001 [6,2,4,7,8,1,3,5]=>[3,7,5,2,1,8,6,4]=>0000000=>0000000 [4,7,3,2,6,5,1,8]=>[5,2,6,7,3,4,8,1]=>0000000=>0000000 [4,7,5,2,3,6,1,8]=>[5,2,4,7,6,3,8,1]=>0000000=>0000000 [4,3,7,8,2,1,6,5]=>[5,6,2,1,7,8,3,4]=>0000000=>0000000 [4,8,7,2,1,5,6,3]=>[5,1,2,7,8,4,3,6]=>0000000=>0000000 [4,5,3,8,2,1,7,6]=>[5,4,6,1,7,8,2,3]=>0000000=>0000000 [4,5,3,8,6,1,2,7]=>[5,4,6,1,3,8,7,2]=>0000000=>0000000 [7,3,8,4,5,1,2,6]=>[2,6,1,5,4,8,7,3]=>0000000=>0000000 [4,8,7,5,1,3,2,6]=>[5,1,2,4,8,6,7,3]=>0000000=>0000000 [4,8,7,5,1,2,6,3]=>[5,1,2,4,8,7,3,6]=>0000000=>0000000 [4,8,7,5,1,3,6,2]=>[5,1,2,4,8,6,3,7]=>0000000=>0000000 [4,5,3,6,8,1,2,7]=>[5,4,6,3,1,8,7,2]=>0000000=>0000000 [7,8,6,2,1,4,3,5]=>[2,1,3,7,8,5,6,4]=>0110000=>0000110 [4,7,5,8,2,1,3,6]=>[5,2,4,1,7,8,6,3]=>0000000=>0000000 [4,8,5,7,1,3,2,6]=>[5,1,4,2,8,6,7,3]=>0000000=>0000000 [7,8,6,3,1,2,5,4]=>[2,1,3,6,8,7,4,5]=>0110000=>0000110 [6,8,2,1,4,5,7,3]=>[3,1,7,8,5,4,2,6]=>0000000=>0000000 [7,8,5,1,2,4,6,3]=>[2,1,4,8,7,5,3,6]=>0100000=>0000010 [1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000=>0000000 [5,3,1,2,4,6,8,7]=>[4,6,8,7,5,3,1,2]=>0000000=>0000000 [5,7,1,6,3,4,8,2]=>[4,2,8,3,6,5,1,7]=>0000000=>0000000 [7,1,4,2,5,8,6,3]=>[2,8,5,7,4,1,3,6]=>0000000=>0000000 [3,2,6,1,5,8,7,4]=>[6,7,3,8,4,1,2,5]=>0000000=>0000000 [4,5,2,1,6,7,8,3]=>[5,4,7,8,3,2,1,6]=>0000000=>0000000 [5,4,6,7,1,3,2,8]=>[4,5,3,2,8,6,7,1]=>0000000=>0000000 [8,7,1,4,5,2,3,6]=>[1,2,8,5,4,7,6,3]=>1100000=>0000011 [4,8,7,3,1,2,6,5]=>[5,1,2,6,8,7,3,4]=>0000000=>0000000 [4,7,3,5,8,6,1,2]=>[5,2,6,4,1,3,8,7]=>0000010=>0100000 [1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000=>0000000 [1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>0000000=>0000000 [4,7,8,5,2,1,6,3]=>[5,2,1,4,7,8,3,6]=>0000000=>0000000 [1,3,8,4,6,5,2,7]=>[8,6,1,5,3,4,7,2]=>0000000=>0000000 [1,7,8,6,4,2,5,3]=>[8,2,1,3,5,7,4,6]=>0000000=>0000000 [7,2,5,8,4,6,1,3]=>[2,7,4,1,5,3,8,6]=>0000000=>0000000 [6,7,1,5,2,4,8,3]=>[3,2,8,4,7,5,1,6]=>0000000=>0000000 [7,2,4,6,1,5,8,3]=>[2,7,5,3,8,4,1,6]=>0000000=>0000000 [8,7,1,6,4,2,5,3]=>[1,2,8,3,5,7,4,6]=>1100000=>0000011 [2,6,3,5,1,7,8,4]=>[7,3,6,4,8,2,1,5]=>0000000=>0000000 [1,4,6,3,8,2,5,7]=>[8,5,3,6,1,7,4,2]=>0000000=>0000000 [4,5,3,7,1,6,8,2]=>[5,4,6,2,8,3,1,7]=>0000000=>0000000 [5,8,2,6,1,7,4,3]=>[4,1,7,3,8,2,5,6]=>0000000=>0000000 [8,7,3,1,2,5,6,4]=>[1,2,6,8,7,4,3,5]=>1100000=>0000011 [2,8,3,6,4,1,7,5]=>[7,1,6,3,5,8,2,4]=>0000000=>0000000 [6,4,3,7,8,1,5,2]=>[3,5,6,2,1,8,4,7]=>0000000=>0000000 [2,4,6,7,1,5,3,8]=>[7,5,3,2,8,4,6,1]=>0000000=>0000000 [5,7,1,8,4,3,6,2]=>[4,2,8,1,5,6,3,7]=>0000000=>0000000 [5,4,3,1,8,6,7,2]=>[4,5,6,8,1,3,2,7]=>0000000=>0000000 [5,4,3,6,1,7,8,2]=>[4,5,6,3,8,2,1,7]=>0000000=>0000000 [3,5,6,8,2,1,4,7]=>[6,4,3,1,7,8,5,2]=>0000000=>0000000 [4,3,8,6,2,1,5,7]=>[5,6,1,3,7,8,4,2]=>0000000=>0000000 [3,2,7,5,8,1,4,6]=>[6,7,2,4,1,8,5,3]=>0000000=>0000000 [3,2,7,8,5,6,1,4]=>[6,7,2,1,4,3,8,5]=>0000000=>0000000 [3,5,2,6,8,7,1,4]=>[6,4,7,3,1,2,8,5]=>0000000=>0000000 [4,3,8,6,7,2,1,5]=>[5,6,1,3,2,7,8,4]=>0000000=>0000000 [7,4,3,6,8,2,1,5]=>[2,5,6,3,1,7,8,4]=>0000000=>0000000 [7,3,5,2,6,8,1,4]=>[2,6,4,7,3,1,8,5]=>0000000=>0000000 [2,6,1,5,7,8,4,3]=>[7,3,8,4,2,1,5,6]=>0000000=>0000000 [4,8,3,2,1,7,5,6]=>[5,1,6,7,8,2,4,3]=>0000000=>0000000 [7,4,3,6,1,8,5,2]=>[2,5,6,3,8,1,4,7]=>0000000=>0000000 [4,7,6,1,5,8,2,3]=>[5,2,3,8,4,1,7,6]=>0000000=>0000000 [4,7,8,5,2,3,6,1]=>[5,2,1,4,7,6,3,8]=>0000001=>1000000 [4,7,6,1,2,3,8,5]=>[5,2,3,8,7,6,1,4]=>0000000=>0000000 [5,8,2,6,4,1,7,3]=>[4,1,7,3,5,8,2,6]=>0000000=>0000000 [2,8,6,7,1,5,4,3]=>[7,1,3,2,8,4,5,6]=>0000000=>0000000 [2,5,1,7,6,8,4,3]=>[7,4,8,2,3,1,5,6]=>0000000=>0000000 [5,7,2,6,8,4,3,1]=>[4,2,7,3,1,5,6,8]=>0000001=>1000000 [1,6,2,7,8,5,4,3]=>[8,3,7,2,1,4,5,6]=>0000000=>0000000 [3,4,2,5,8,1,7,6]=>[6,5,7,4,1,8,2,3]=>0000000=>0000000 [3,5,6,8,1,7,4,2]=>[6,4,3,1,8,2,5,7]=>0000000=>0000000 [1,6,8,2,7,5,4,3]=>[8,3,1,7,2,4,5,6]=>0000000=>0000000 [7,1,8,5,2,6,4,3]=>[2,8,1,4,7,3,5,6]=>0000000=>0000000 [5,8,1,2,7,6,4,3]=>[4,1,8,7,2,3,5,6]=>0000000=>0000000 [8,5,7,3,2,6,4,1]=>[1,4,2,6,7,3,5,8]=>1000001=>1000001 [8,7,1,3,2,6,4,5]=>[1,2,8,6,7,3,5,4]=>1100000=>0000011 [8,6,4,3,1,5,2,7]=>[1,3,5,6,8,4,7,2]=>1000000=>0000001 [6,1,8,3,7,5,4,2]=>[3,8,1,6,2,4,5,7]=>0000000=>0000000 [8,1,6,3,7,5,4,2]=>[1,8,3,6,2,4,5,7]=>1000000=>0000001 [8,5,1,3,7,6,4,2]=>[1,4,8,6,2,3,5,7]=>1000000=>0000001 [2,8,1,5,6,4,3,7]=>[7,1,8,4,3,5,6,2]=>0000000=>0000000 [7,5,6,1,3,4,8,2]=>[2,4,3,8,6,5,1,7]=>0000000=>0000000 [6,8,3,4,7,5,2,1]=>[3,1,6,5,2,4,7,8]=>0000011=>1100000 [5,4,8,3,1,6,7,2]=>[4,5,1,6,8,3,2,7]=>0000000=>0000000 [6,4,2,8,1,5,3,7]=>[3,5,7,1,8,4,6,2]=>0000000=>0000000 [5,8,2,7,6,1,4,3]=>[4,1,7,2,3,8,5,6]=>0000000=>0000000 [5,4,8,6,7,3,1,2]=>[4,5,1,3,2,6,8,7]=>0000110=>0110000 [7,3,6,4,2,1,8,5]=>[2,6,3,5,7,8,1,4]=>0000000=>0000000 [4,8,5,2,7,3,1,6]=>[5,1,4,7,2,6,8,3]=>0000000=>0000000 [7,3,2,1,8,5,6,4]=>[2,6,7,8,1,4,3,5]=>0000000=>0000000 [1,5,7,2,4,3,8,6]=>[8,4,2,7,5,6,1,3]=>0000000=>0000000 [1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000=>0000000 [5,1,3,8,2,7,4,6]=>[4,8,6,1,7,2,5,3]=>0000000=>0000000 [5,7,1,3,2,8,4,6]=>[4,2,8,6,7,1,5,3]=>0000000=>0000000 [7,1,6,3,2,8,4,5]=>[2,8,3,6,7,1,5,4]=>0000000=>0000000 [8,1,7,2,3,6,5,4]=>[1,8,2,7,6,3,4,5]=>1000000=>0000001 [1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000=>0000000 [7,1,2,6,4,3,8,5]=>[2,8,7,3,5,6,1,4]=>0000000=>0000000 [8,7,1,3,2,4,6,5]=>[1,2,8,6,7,5,3,4]=>1100000=>0000011 [8,1,6,3,2,4,7,5]=>[1,8,3,6,7,5,2,4]=>1000000=>0000001 [1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>0000000=>0000000 [8,2,1,7,6,3,4,5]=>[1,7,8,2,3,6,5,4]=>1000000=>0000001 [6,3,8,5,7,2,1,4]=>[3,6,1,4,2,7,8,5]=>0000000=>0000000 [8,7,3,6,4,1,2,5]=>[1,2,6,3,5,8,7,4]=>1100000=>0000011 [8,7,2,3,5,1,4,6]=>[1,2,7,6,4,8,5,3]=>1100000=>0000011 [2,5,1,3,8,7,6,4]=>[7,4,8,6,1,2,3,5]=>0000000=>0000000 [7,6,3,1,8,5,2,4]=>[2,3,6,8,1,4,7,5]=>0000000=>0000000 [7,2,5,1,6,4,3,8]=>[2,7,4,8,3,5,6,1]=>0000000=>0000000 [7,1,4,6,3,5,2,8]=>[2,8,5,3,6,4,7,1]=>0000000=>0000000 [1,4,5,7,3,8,2,6]=>[8,5,4,2,6,1,7,3]=>0000000=>0000000 [6,4,2,5,3,7,8,1]=>[3,5,7,4,6,2,1,8]=>0000001=>1000000 [6,1,5,3,2,7,8,4]=>[3,8,4,6,7,2,1,5]=>0000000=>0000000 [8,5,7,4,1,3,6,2]=>[1,4,2,5,8,6,3,7]=>1000000=>0000001 [8,5,2,3,7,4,1,6]=>[1,4,7,6,2,5,8,3]=>1000000=>0000001 [3,1,6,7,5,2,8,4]=>[6,8,3,2,4,7,1,5]=>0000000=>0000000 [8,6,2,4,5,1,7,3]=>[1,3,7,5,4,8,2,6]=>1000000=>0000001 [3,6,7,5,1,4,8,2]=>[6,3,2,4,8,5,1,7]=>0000000=>0000000 [6,3,7,5,1,2,8,4]=>[3,6,2,4,8,7,1,5]=>0000000=>0000000 [5,4,1,7,6,8,3,2]=>[4,5,8,2,3,1,6,7]=>0000000=>0000000 [3,6,7,1,5,4,8,2]=>[6,3,2,8,4,5,1,7]=>0000000=>0000000 [6,7,4,2,5,8,3,1]=>[3,2,5,7,4,1,6,8]=>0000001=>1000000 [6,5,3,7,8,1,4,2]=>[3,4,6,2,1,8,5,7]=>0000000=>0000000 [5,6,7,4,2,1,8,3]=>[4,3,2,5,7,8,1,6]=>0000000=>0000000 [5,3,4,7,8,2,6,1]=>[4,6,5,2,1,7,3,8]=>0000001=>1000000 [5,7,3,8,4,2,1,6]=>[4,2,6,1,5,7,8,3]=>0000000=>0000000 [1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>0000000=>0000000 [1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>0000000=>0000000 [5,2,6,7,1,3,8,4]=>[4,7,3,2,8,6,1,5]=>0000000=>0000000 [3,2,5,8,6,1,7,4]=>[6,7,4,1,3,8,2,5]=>0000000=>0000000 [4,5,1,7,2,8,6,3]=>[5,4,8,2,7,1,3,6]=>0000000=>0000000 [5,4,6,7,1,3,8,2]=>[4,5,3,2,8,6,1,7]=>0000000=>0000000 [2,3,5,4,8,6,1,7]=>[7,6,4,5,1,3,8,2]=>0000000=>0000000 [6,1,2,4,3,8,5,7]=>[3,8,7,5,6,1,4,2]=>0000000=>0000000 [7,2,5,3,6,1,8,4]=>[2,7,4,6,3,8,1,5]=>0000000=>0000000 [5,2,6,7,4,3,1,8]=>[4,7,3,2,5,6,8,1]=>0000000=>0000000 [5,6,2,1,8,4,7,3]=>[4,3,7,8,1,5,2,6]=>0000000=>0000000 [8,5,2,1,6,4,7,3]=>[1,4,7,8,3,5,2,6]=>1000000=>0000001 [6,1,3,2,7,8,5,4]=>[3,8,6,7,2,1,4,5]=>0000000=>0000000 [4,6,2,5,7,3,1,8]=>[5,3,7,4,2,6,8,1]=>0000000=>0000000 [3,4,6,2,5,1,7,8]=>[6,5,3,7,4,8,2,1]=>0000000=>0000000 [1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>0000000=>0000000 [1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000=>0000000 [6,7,4,8,5,3,2,1]=>[3,2,5,1,4,6,7,8]=>0000111=>1110000 [3,8,4,6,5,1,7,2]=>[6,1,5,3,4,8,2,7]=>0000000=>0000000 [8,4,6,7,3,1,5,2]=>[1,5,3,2,6,8,4,7]=>1000000=>0000001 [2,5,8,6,3,7,4,1]=>[7,4,1,3,6,2,5,8]=>0000001=>1000000 [7,4,1,2,5,3,6,8]=>[2,5,8,7,4,6,3,1]=>0000000=>0000000 [1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>0000000=>0000000 [1,6,8,2,7,3,4,5]=>[8,3,1,7,2,6,5,4]=>0000000=>0000000 [1,3,8,2,7,4,5,6]=>[8,6,1,7,2,5,4,3]=>0000000=>0000000 [1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000=>0000000 [5,2,6,4,8,7,1,3]=>[4,7,3,5,1,2,8,6]=>0000000=>0000000 [4,6,1,7,8,5,3,2]=>[5,3,8,2,1,4,6,7]=>0000000=>0000000 [5,3,2,1,7,8,6,4]=>[4,6,7,8,2,1,3,5]=>0000000=>0000000 [4,8,7,2,6,1,3,5]=>[5,1,2,7,3,8,6,4]=>0000000=>0000000 [6,3,1,8,2,7,5,4]=>[3,6,8,1,7,2,4,5]=>0000000=>0000000 [3,8,5,1,2,7,6,4]=>[6,1,4,8,7,2,3,5]=>0000000=>0000000 [1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>0000000=>0000000 [3,5,8,6,2,1,7,4]=>[6,4,1,3,7,8,2,5]=>0000000=>0000000 [2,8,6,1,7,5,4,3]=>[7,1,3,8,2,4,5,6]=>0000000=>0000000 [5,6,1,2,8,7,3,4]=>[4,3,8,7,1,2,6,5]=>0000000=>0000000 [1,5,8,3,6,2,7,4]=>[8,4,1,6,3,7,2,5]=>0000000=>0000000 [6,4,2,3,1,7,8,5]=>[3,5,7,6,8,2,1,4]=>0000000=>0000000 [1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>0000000=>0000000 [2,5,8,4,6,1,3,7]=>[7,4,1,5,3,8,6,2]=>0000000=>0000000 [1,8,4,5,6,2,7,3]=>[8,1,5,4,3,7,2,6]=>0000000=>0000000 [2,3,8,7,4,5,1,6]=>[7,6,1,2,5,4,8,3]=>0000000=>0000000 [2,4,8,5,7,3,1,6]=>[7,5,1,4,2,6,8,3]=>0000000=>0000000 [1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>0000000=>0000000 [2,5,8,4,6,7,1,3]=>[7,4,1,5,3,2,8,6]=>0000000=>0000000 [3,5,6,8,4,2,7,1]=>[6,4,3,1,5,7,2,8]=>0000001=>1000000 [2,5,8,4,6,3,7,1]=>[7,4,1,5,3,6,2,8]=>0000001=>1000000 [1,8,4,5,6,3,2,7]=>[8,1,5,4,3,6,7,2]=>0000000=>0000000 [6,4,3,5,1,7,8,2]=>[3,5,6,4,8,2,1,7]=>0000000=>0000000 [2,7,4,6,3,5,8,1]=>[7,2,5,3,6,4,1,8]=>0000001=>1000000 [4,1,8,7,2,5,6,3]=>[5,8,1,2,7,4,3,6]=>0000000=>0000000 [4,3,6,7,2,5,8,1]=>[5,6,3,2,7,4,1,8]=>0000001=>1000000 [7,1,2,4,8,6,5,3]=>[2,8,7,5,1,3,4,6]=>0000000=>0000000 [4,2,5,1,8,7,6,3]=>[5,7,4,8,1,2,3,6]=>0000000=>0000000 [7,5,1,8,2,3,4,6]=>[2,4,8,1,7,6,5,3]=>0000000=>0000000 [4,7,2,5,3,8,1,6]=>[5,2,7,4,6,1,8,3]=>0000000=>0000000 [5,6,2,1,8,7,4,3]=>[4,3,7,8,1,2,5,6]=>0000000=>0000000 [1,6,5,7,3,8,2,4]=>[8,3,4,2,6,1,7,5]=>0000000=>0000000 [8,1,4,6,7,2,5,3]=>[1,8,5,3,2,7,4,6]=>1000000=>0000001 [8,2,7,5,4,1,6,3]=>[1,7,2,4,5,8,3,6]=>1000000=>0000001 [8,1,6,2,4,7,5,3]=>[1,8,3,7,5,2,4,6]=>1000000=>0000001 [5,2,6,7,4,8,3,1]=>[4,7,3,2,5,1,6,8]=>0000001=>1000000 [4,2,7,6,5,8,3,1]=>[5,7,2,3,4,1,6,8]=>0000001=>1000000 [5,3,2,8,7,6,1,4]=>[4,6,7,1,2,3,8,5]=>0000000=>0000000 [6,3,5,1,4,2,7,8]=>[3,6,4,8,5,7,2,1]=>0000000=>0000000 [4,3,7,1,2,8,5,6]=>[5,6,2,8,7,1,4,3]=>0000000=>0000000 [6,5,2,1,4,8,7,3]=>[3,4,7,8,5,1,2,6]=>0000000=>0000000 [1,5,8,7,4,3,6,2]=>[8,4,1,2,5,6,3,7]=>0000000=>0000000 [8,5,7,1,4,2,6,3]=>[1,4,2,8,5,7,3,6]=>1000000=>0000001 [1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>0000000=>0000000 [1,6,8,7,4,5,2,3]=>[8,3,1,2,5,4,7,6]=>0000000=>0000000 [3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]=>0000000=>0000000 [2,7,5,8,6,3,1,4]=>[7,2,4,1,3,6,8,5]=>0000000=>0000000 [6,8,1,7,3,4,5,2]=>[3,1,8,2,6,5,4,7]=>0000000=>0000000 [5,6,4,3,1,7,2,8]=>[4,3,5,6,8,2,7,1]=>0000000=>0000000 [4,3,6,5,1,7,2,8]=>[5,6,3,4,8,2,7,1]=>0000000=>0000000 [6,8,1,5,3,7,4,2]=>[3,1,8,4,6,2,5,7]=>0000000=>0000000 [5,8,3,1,4,7,6,2]=>[4,1,6,8,5,2,3,7]=>0000000=>0000000 [2,6,7,1,4,3,8,5]=>[7,3,2,8,5,6,1,4]=>0000000=>0000000 [5,2,8,1,7,4,6,3]=>[4,7,1,8,2,5,3,6]=>0000000=>0000000 [5,7,4,8,1,2,6,3]=>[4,2,5,1,8,7,3,6]=>0000000=>0000000 [6,4,5,2,7,8,3,1]=>[3,5,4,7,2,1,6,8]=>0000001=>1000000 [8,1,3,2,7,4,5,6]=>[1,8,6,7,2,5,4,3]=>1000000=>0000001 [3,4,7,2,5,8,6,1]=>[6,5,2,7,4,1,3,8]=>0000001=>1000000 [7,3,4,6,5,1,2,8]=>[2,6,5,3,4,8,7,1]=>0000000=>0000000 [7,2,5,3,1,4,6,8]=>[2,7,4,6,8,5,3,1]=>0000000=>0000000 [4,3,1,6,5,7,2,8]=>[5,6,8,3,4,2,7,1]=>0000000=>0000000 [4,8,6,5,7,1,3,2]=>[5,1,3,4,2,8,6,7]=>0000100=>0010000 [8,7,4,2,3,6,5,1]=>[1,2,5,7,6,3,4,8]=>1100001=>1000011 [8,4,2,3,7,6,5,1]=>[1,5,7,6,2,3,4,8]=>1000001=>1000001 [8,6,4,7,5,1,3,2]=>[1,3,5,2,4,8,6,7]=>1000100=>0010001 [5,3,6,4,1,2,8,7]=>[4,6,3,5,8,7,1,2]=>0000000=>0000000 [5,8,6,3,1,2,4,7]=>[4,1,3,6,8,7,5,2]=>0000000=>0000000 [6,4,2,7,8,3,5,1]=>[3,5,7,2,1,6,4,8]=>0000001=>1000000 [3,1,7,4,8,6,2,5]=>[6,8,2,5,1,3,7,4]=>0000000=>0000000 [3,8,5,1,4,7,2,6]=>[6,1,4,8,5,2,7,3]=>0000000=>0000000 [3,6,7,2,5,1,8,4]=>[6,3,2,7,4,8,1,5]=>0000000=>0000000 [8,4,1,6,7,2,5,3]=>[1,5,8,3,2,7,4,6]=>1000000=>0000001 [8,6,1,2,4,7,5,3]=>[1,3,8,7,5,2,4,6]=>1000000=>0000001 [8,2,6,1,7,4,5,3]=>[1,7,3,8,2,5,4,6]=>1000000=>0000001 [6,8,2,4,1,7,5,3]=>[3,1,7,5,8,2,4,6]=>0000000=>0000000 [5,3,4,6,1,2,8,7]=>[4,6,5,3,8,7,1,2]=>0000000=>0000000 [8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]=>1000001=>1000001 [2,7,4,5,8,6,1,3]=>[7,2,5,4,1,3,8,6]=>0000000=>0000000 [7,4,3,8,5,1,6,2]=>[2,5,6,1,4,8,3,7]=>0000000=>0000000 [8,3,1,7,4,6,5,2]=>[1,6,8,2,5,3,4,7]=>1000000=>0000001 [8,2,4,6,5,1,7,3]=>[1,7,5,3,4,8,2,6]=>1000000=>0000001 [1,7,5,4,6,8,3,2]=>[8,2,4,5,3,1,6,7]=>0000000=>0000000 [5,8,4,6,2,1,7,3]=>[4,1,5,3,7,8,2,6]=>0000000=>0000000 [1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>0000000=>0000000 [1,6,8,7,3,5,2,4]=>[8,3,1,2,6,4,7,5]=>0000000=>0000000 [2,8,6,1,7,5,3,4]=>[7,1,3,8,2,4,6,5]=>0000000=>0000000 [8,4,1,3,6,7,2,5]=>[1,5,8,6,3,2,7,4]=>1000000=>0000001 [2,8,5,7,6,1,3,4]=>[7,1,4,2,3,8,6,5]=>0000000=>0000000 [3,6,2,1,7,5,4,8]=>[6,3,7,8,2,4,5,1]=>0000000=>0000000 [3,6,2,1,8,7,4,5]=>[6,3,7,8,1,2,5,4]=>0000000=>0000000 [2,4,6,7,3,5,1,8]=>[7,5,3,2,6,4,8,1]=>0000000=>0000000 [6,4,2,5,7,8,1,3]=>[3,5,7,4,2,1,8,6]=>0000000=>0000000 [5,4,1,6,7,3,8,2]=>[4,5,8,3,2,6,1,7]=>0000000=>0000000 [8,5,4,7,3,1,6,2]=>[1,4,5,2,6,8,3,7]=>1000000=>0000001 [5,7,4,1,2,6,8,3]=>[4,2,5,8,7,3,1,6]=>0000000=>0000000 [4,7,6,8,5,2,1,3]=>[5,2,3,1,4,7,8,6]=>0000100=>0010000 [4,3,1,8,7,6,2,5]=>[5,6,8,1,2,3,7,4]=>0000000=>0000000 [8,6,2,5,3,1,4,7]=>[1,3,7,4,6,8,5,2]=>1000000=>0000001 [8,4,7,3,1,2,5,6]=>[1,5,2,6,8,7,4,3]=>1000000=>0000001 [8,6,2,3,5,1,7,4]=>[1,3,7,6,4,8,2,5]=>1000000=>0000001 [2,7,4,6,8,3,5,1]=>[7,2,5,3,1,6,4,8]=>0000001=>1000000 [3,7,5,6,8,2,4,1]=>[6,2,4,3,1,7,5,8]=>0000001=>1000000 [3,7,2,6,8,4,5,1]=>[6,2,7,3,1,5,4,8]=>0000001=>1000000 [1,5,7,6,8,4,2,3]=>[8,4,2,3,1,5,7,6]=>0000000=>0000000 [8,1,5,2,6,4,7,3]=>[1,8,4,7,3,5,2,6]=>1000000=>0000001 [5,3,4,1,6,7,2,8]=>[4,6,5,8,3,2,7,1]=>0000000=>0000000 [5,3,4,6,1,7,2,8]=>[4,6,5,3,8,2,7,1]=>0000000=>0000000 [8,7,2,6,4,5,1,3]=>[1,2,7,3,5,4,8,6]=>1100000=>0000011 [6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>0000000=>0000000 [4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>0000000=>0000000 [4,3,2,6,8,7,1,5]=>[5,6,7,3,1,2,8,4]=>0000000=>0000000 [7,1,3,5,6,8,2,4]=>[2,8,6,4,3,1,7,5]=>0000000=>0000000 [6,4,5,2,8,3,7,1]=>[3,5,4,7,1,6,2,8]=>0000001=>1000000 [7,1,4,6,8,5,3,2]=>[2,8,5,3,1,4,6,7]=>0000000=>0000000 [7,2,5,1,6,4,8,3]=>[2,7,4,8,3,5,1,6]=>0000000=>0000000 [2,7,1,5,6,4,8,3]=>[7,2,8,4,3,5,1,6]=>0000000=>0000000 [1,5,7,8,4,6,3,2]=>[8,4,2,1,5,3,6,7]=>0000000=>0000000 [1,4,8,5,7,6,3,2]=>[8,5,1,4,2,3,6,7]=>0000000=>0000000 [8,2,1,5,6,4,7,3]=>[1,7,8,4,3,5,2,6]=>1000000=>0000001 [2,8,5,1,6,4,3,7]=>[7,1,4,8,3,5,6,2]=>0000000=>0000000 [3,7,2,8,1,5,6,4]=>[6,2,7,1,8,4,3,5]=>0000000=>0000000 [7,3,2,5,1,6,8,4]=>[2,6,7,4,8,3,1,5]=>0000000=>0000000 [8,7,2,1,3,6,5,4]=>[1,2,7,8,6,3,4,5]=>1100000=>0000011 [7,3,2,8,1,4,6,5]=>[2,6,7,1,8,5,3,4]=>0000000=>0000000 [2,7,8,1,5,4,3,6]=>[7,2,1,8,4,5,6,3]=>0000000=>0000000 [3,6,2,1,8,4,7,5]=>[6,3,7,8,1,5,2,4]=>0000000=>0000000 [2,4,5,7,3,6,1,8]=>[7,5,4,2,6,3,8,1]=>0000000=>0000000 [6,4,3,7,1,8,2,5]=>[3,5,6,2,8,1,7,4]=>0000000=>0000000 [3,6,7,1,4,2,5,8]=>[6,3,2,8,5,7,4,1]=>0000000=>0000000 [5,1,8,6,2,7,4,3]=>[4,8,1,3,7,2,5,6]=>0000000=>0000000 [3,4,1,5,8,7,6,2]=>[6,5,8,4,1,2,3,7]=>0000000=>0000000 [6,4,3,7,1,8,5,2]=>[3,5,6,2,8,1,4,7]=>0000000=>0000000 [7,3,1,6,2,8,5,4]=>[2,6,8,3,7,1,4,5]=>0000000=>0000000 [7,3,2,6,1,5,8,4]=>[2,6,7,3,8,4,1,5]=>0000000=>0000000 [5,3,1,6,4,7,2,8]=>[4,6,8,3,5,2,7,1]=>0000000=>0000000 [1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>0000000=>0000000 [5,8,1,6,4,2,7,3]=>[4,1,8,3,5,7,2,6]=>0000000=>0000000 [8,5,2,6,4,1,7,3]=>[1,4,7,3,5,8,2,6]=>1000000=>0000001 [8,6,2,7,5,4,1,3]=>[1,3,7,2,4,5,8,6]=>1000000=>0000001 [1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>0000000=>0000000 [5,7,2,6,4,1,8,3]=>[4,2,7,3,5,8,1,6]=>0000000=>0000000 [6,7,2,5,4,1,8,3]=>[3,2,7,4,5,8,1,6]=>0000000=>0000000 [2,6,1,8,4,7,5,3]=>[7,3,8,1,5,2,4,6]=>0000000=>0000000 [3,7,6,2,1,4,8,5]=>[6,2,3,7,8,5,1,4]=>0000000=>0000000 [3,6,7,4,2,1,8,5]=>[6,3,2,5,7,8,1,4]=>0000000=>0000000 [3,7,6,5,4,1,8,2]=>[6,2,3,4,5,8,1,7]=>0000000=>0000000 [4,3,7,5,8,1,2,6]=>[5,6,2,4,1,8,7,3]=>0000000=>0000000 [3,8,5,7,2,1,4,6]=>[6,1,4,2,7,8,5,3]=>0000000=>0000000 [4,8,5,6,3,7,2,1]=>[5,1,4,3,6,2,7,8]=>0000011=>1100000 [4,1,8,5,7,6,2,3]=>[5,8,1,4,2,3,7,6]=>0000000=>0000000 [4,8,3,6,5,7,2,1]=>[5,1,6,3,4,2,7,8]=>0000011=>1100000 [4,1,8,6,5,7,3,2]=>[5,8,1,3,4,2,6,7]=>0000000=>0000000 [1,7,4,6,2,5,8,3]=>[8,2,5,3,7,4,1,6]=>0000000=>0000000 [7,5,2,3,6,1,8,4]=>[2,4,7,6,3,8,1,5]=>0000000=>0000000 [6,4,3,2,7,5,8,1]=>[3,5,6,7,2,4,1,8]=>0000001=>1000000 [6,4,2,1,5,7,8,3]=>[3,5,7,8,4,2,1,6]=>0000000=>0000000 [6,5,3,2,7,8,4,1]=>[3,4,6,7,2,1,5,8]=>0000001=>1000000 [4,6,7,5,1,8,3,2]=>[5,3,2,4,8,1,6,7]=>0000000=>0000000 [3,7,4,6,1,5,8,2]=>[6,2,5,3,8,4,1,7]=>0000000=>0000000 [2,4,1,3,7,8,6,5]=>[7,5,8,6,2,1,3,4]=>0000000=>0000000 [6,4,7,2,5,8,3,1]=>[3,5,2,7,4,1,6,8]=>0000001=>1000000 [2,7,6,8,4,1,3,5]=>[7,2,3,1,5,8,6,4]=>0000000=>0000000 [6,3,4,1,8,2,5,7]=>[3,6,5,8,1,7,4,2]=>0000000=>0000000 [5,4,8,2,3,1,7,6]=>[4,5,1,7,6,8,2,3]=>0000000=>0000000 [3,1,8,5,7,2,6,4]=>[6,8,1,4,2,7,3,5]=>0000000=>0000000 [5,8,4,6,7,2,3,1]=>[4,1,5,3,2,7,6,8]=>0000101=>1010000 [8,3,6,7,2,4,5,1]=>[1,6,3,2,7,5,4,8]=>1000001=>1000001 [7,3,6,4,5,1,8,2]=>[2,6,3,5,4,8,1,7]=>0000000=>0000000 [1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>0000000=>0000000 [1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>0000000=>0000000 [5,7,6,3,1,2,8,4]=>[4,2,3,6,8,7,1,5]=>0000000=>0000000 [8,4,5,1,2,3,7,6]=>[1,5,4,8,7,6,2,3]=>1000000=>0000001 [5,7,2,1,3,8,4,6]=>[4,2,7,8,6,1,5,3]=>0000000=>0000000 [1,5,8,2,3,6,7,4]=>[8,4,1,7,6,3,2,5]=>0000000=>0000000 [7,4,5,1,6,8,2,3]=>[2,5,4,8,3,1,7,6]=>0000000=>0000000 [6,2,1,4,5,8,3,7]=>[3,7,8,5,4,1,6,2]=>0000000=>0000000 [6,4,8,5,2,7,3,1]=>[3,5,1,4,7,2,6,8]=>0000001=>1000000 [6,4,2,3,7,5,8,1]=>[3,5,7,6,2,4,1,8]=>0000001=>1000000 [6,2,3,1,8,4,5,7]=>[3,7,6,8,1,5,4,2]=>0000000=>0000000 [7,2,4,3,1,5,6,8]=>[2,7,5,6,8,4,3,1]=>0000000=>0000000 [2,5,8,1,6,7,4,3]=>[7,4,1,8,3,2,5,6]=>0000000=>0000000 [6,4,7,5,1,2,3,8]=>[3,5,2,4,8,7,6,1]=>0000000=>0000000 [1,7,5,8,3,2,4,6]=>[8,2,4,1,6,7,5,3]=>0000000=>0000000 [1,3,8,5,7,2,4,6]=>[8,6,1,4,2,7,5,3]=>0000000=>0000000 [6,3,8,5,7,1,4,2]=>[3,6,1,4,2,8,5,7]=>0000000=>0000000 [8,3,2,5,6,4,1,7]=>[1,6,7,4,3,5,8,2]=>1000000=>0000001 [3,2,8,5,6,4,1,7]=>[6,7,1,4,3,5,8,2]=>0000000=>0000000 [2,3,8,5,6,4,1,7]=>[7,6,1,4,3,5,8,2]=>0000000=>0000000 [5,2,6,8,7,1,4,3]=>[4,7,3,1,2,8,5,6]=>0000000=>0000000 [8,1,5,6,2,7,4,3]=>[1,8,4,3,7,2,5,6]=>1000000=>0000001 [6,2,1,5,3,7,8,4]=>[3,7,8,4,6,2,1,5]=>0000000=>0000000 [2,7,4,3,1,5,8,6]=>[7,2,5,6,8,4,1,3]=>0000000=>0000000 [5,7,6,1,4,3,8,2]=>[4,2,3,8,5,6,1,7]=>0000000=>0000000 [3,8,1,6,2,7,4,5]=>[6,1,8,3,7,2,5,4]=>0000000=>0000000 [7,8,5,1,3,4,2,6]=>[2,1,4,8,6,5,7,3]=>0100000=>0000010 [7,5,6,1,4,3,8,2]=>[2,4,3,8,5,6,1,7]=>0000000=>0000000 [8,5,1,6,3,7,4,2]=>[1,4,8,3,6,2,5,7]=>1000000=>0000001 [7,4,6,1,2,3,8,5]=>[2,5,3,8,7,6,1,4]=>0000000=>0000000 [4,1,7,8,3,6,5,2]=>[5,8,2,1,6,3,4,7]=>0000000=>0000000 [6,4,2,5,7,8,3,1]=>[3,5,7,4,2,1,6,8]=>0000001=>1000000 [7,4,5,8,1,3,2,6]=>[2,5,4,1,8,6,7,3]=>0000000=>0000000 [5,7,2,1,6,4,3,8]=>[4,2,7,8,3,5,6,1]=>0000000=>0000000 [4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>0000000=>0000000 [3,4,7,6,1,5,2,8]=>[6,5,2,3,8,4,7,1]=>0000000=>0000000 [1,8,3,2,6,5,7,4]=>[8,1,6,7,3,4,2,5]=>0000000=>0000000 [6,7,4,5,2,8,3,1]=>[3,2,5,4,7,1,6,8]=>0000001=>1000000 [3,5,7,2,8,1,6,4]=>[6,4,2,7,1,8,3,5]=>0000000=>0000000 [5,8,4,7,6,1,2,3]=>[4,1,5,2,3,8,7,6]=>0000100=>0010000 [8,3,2,7,5,1,6,4]=>[1,6,7,2,4,8,3,5]=>1000000=>0000001 [8,7,4,3,1,2,6,5]=>[1,2,5,6,8,7,3,4]=>1100000=>0000011 [2,7,8,4,1,5,3,6]=>[7,2,1,5,8,4,6,3]=>0000000=>0000000 [1,6,8,3,7,5,4,2]=>[8,3,1,6,2,4,5,7]=>0000000=>0000000 [7,2,4,1,8,6,3,5]=>[2,7,5,8,1,3,6,4]=>0000000=>0000000 [2,4,8,7,3,1,6,5]=>[7,5,1,2,6,8,3,4]=>0000000=>0000000 [4,8,7,2,3,1,6,5]=>[5,1,2,7,6,8,3,4]=>0000000=>0000000 [5,4,8,1,7,2,3,6]=>[4,5,1,8,2,7,6,3]=>0000000=>0000000 [8,3,5,6,1,7,2,4]=>[1,6,4,3,8,2,7,5]=>1000000=>0000001 [1,6,3,7,8,5,4,2]=>[8,3,6,2,1,4,5,7]=>0000000=>0000000 [8,1,3,5,6,4,2,7]=>[1,8,6,4,3,5,7,2]=>1000000=>0000001 [7,5,8,1,2,3,6,4]=>[2,4,1,8,7,6,3,5]=>0000000=>0000000 [5,2,7,8,4,1,3,6]=>[4,7,2,1,5,8,6,3]=>0000000=>0000000 [5,7,1,6,8,2,3,4]=>[4,2,8,3,1,7,6,5]=>0000000=>0000000 [6,3,2,8,1,7,4,5]=>[3,6,7,1,8,2,5,4]=>0000000=>0000000 [5,3,6,4,8,1,2,7]=>[4,6,3,5,1,8,7,2]=>0000000=>0000000 [5,7,4,8,3,1,2,6]=>[4,2,5,1,6,8,7,3]=>0000000=>0000000 [4,5,8,3,6,2,1,7]=>[5,4,1,6,3,7,8,2]=>0000000=>0000000 [4,5,1,7,8,6,2,3]=>[5,4,8,2,1,3,7,6]=>0000000=>0000000 [7,3,1,4,6,2,8,5]=>[2,6,8,5,3,7,1,4]=>0000000=>0000000 [7,4,1,2,5,6,3,8]=>[2,5,8,7,4,3,6,1]=>0000000=>0000000 [6,4,1,2,5,8,3,7]=>[3,5,8,7,4,1,6,2]=>0000000=>0000000 [7,5,3,6,4,2,1,8]=>[2,4,6,3,5,7,8,1]=>0000000=>0000000 [7,3,5,6,2,4,1,8]=>[2,6,4,3,7,5,8,1]=>0000000=>0000000 [5,3,4,7,2,1,6,8]=>[4,6,5,2,7,8,3,1]=>0000000=>0000000 [7,5,1,3,6,4,8,2]=>[2,4,8,6,3,5,1,7]=>0000000=>0000000 [8,3,6,5,7,4,2,1]=>[1,6,3,4,2,5,7,8]=>1000011=>1100001 [8,1,4,2,6,5,7,3]=>[1,8,5,7,3,4,2,6]=>1000000=>0000001 [8,4,7,1,5,2,6,3]=>[1,5,2,8,4,7,3,6]=>1000000=>0000001 [8,2,5,3,7,6,4,1]=>[1,7,4,6,2,3,5,8]=>1000001=>1000001 [8,5,7,1,4,3,6,2]=>[1,4,2,8,5,6,3,7]=>1000000=>0000001 [5,4,1,6,8,7,2,3]=>[4,5,8,3,1,2,7,6]=>0000000=>0000000 [4,5,1,7,8,2,6,3]=>[5,4,8,2,1,7,3,6]=>0000000=>0000000 [4,2,6,7,1,8,5,3]=>[5,7,3,2,8,1,4,6]=>0000000=>0000000 [4,1,6,7,2,8,5,3]=>[5,8,3,2,7,1,4,6]=>0000000=>0000000 [3,5,7,8,4,2,6,1]=>[6,4,2,1,5,7,3,8]=>0000001=>1000000 [4,1,5,7,8,3,6,2]=>[5,8,4,2,1,6,3,7]=>0000000=>0000000 [3,6,7,1,4,5,8,2]=>[6,3,2,8,5,4,1,7]=>0000000=>0000000 [6,4,5,7,2,8,3,1]=>[3,5,4,2,7,1,6,8]=>0000001=>1000000 [3,6,7,8,2,5,4,1]=>[6,3,2,1,7,4,5,8]=>0000001=>1000000 [4,5,8,2,7,1,3,6]=>[5,4,1,7,2,8,6,3]=>0000000=>0000000 [4,5,7,8,3,2,6,1]=>[5,4,2,1,6,7,3,8]=>0000001=>1000000 [8,5,1,7,3,6,4,2]=>[1,4,8,2,6,3,5,7]=>1000000=>0000001 [6,3,2,1,5,8,7,4]=>[3,6,7,8,4,1,2,5]=>0000000=>0000000 [6,8,7,5,1,3,4,2]=>[3,1,2,4,8,6,5,7]=>0011000=>0001100 [7,8,6,5,1,3,4,2]=>[2,1,3,4,8,6,5,7]=>0111000=>0001110 [8,7,3,6,5,4,1,2]=>[1,2,6,3,4,5,8,7]=>1100010=>0100011 [8,7,1,6,5,4,2,3]=>[1,2,8,3,4,5,7,6]=>1100000=>0000011 [8,4,7,6,1,5,3,2]=>[1,5,2,3,8,4,6,7]=>1000000=>0000001 [8,4,2,7,6,3,5,1]=>[1,5,7,2,3,6,4,8]=>1000001=>1000001 [8,7,1,6,3,5,4,2]=>[1,2,8,3,6,4,5,7]=>1100000=>0000011 [8,7,2,1,6,3,5,4]=>[1,2,7,8,3,6,4,5]=>1100000=>0000011 [5,2,4,1,6,8,3,7]=>[4,7,5,8,3,1,6,2]=>0000000=>0000000 [8,7,2,3,1,6,4,5]=>[1,2,7,6,8,3,5,4]=>1100000=>0000011 [2,7,3,1,4,5,8,6]=>[7,2,6,8,5,4,1,3]=>0000000=>0000000 [3,1,6,2,7,8,5,4]=>[6,8,3,7,2,1,4,5]=>0000000=>0000000 [8,5,2,4,1,7,3,6]=>[1,4,7,5,8,2,6,3]=>1000000=>0000001 [8,2,5,4,1,6,7,3]=>[1,7,4,5,8,3,2,6]=>1000000=>0000001 [6,3,5,2,7,1,4,8]=>[3,6,4,7,2,8,5,1]=>0000000=>0000000 [1,7,4,5,8,2,3,6]=>[8,2,5,4,1,7,6,3]=>0000000=>0000000 [5,6,1,7,4,2,3,8]=>[4,3,8,2,5,7,6,1]=>0000000=>0000000 [5,6,1,8,4,2,3,7]=>[4,3,8,1,5,7,6,2]=>0000000=>0000000 [2,1,6,8,3,5,4,7]=>[7,8,3,1,6,4,5,2]=>0000000=>0000000 [3,6,4,1,2,5,8,7]=>[6,3,5,8,7,4,1,2]=>0000000=>0000000 [6,8,2,5,7,3,1,4]=>[3,1,7,4,2,6,8,5]=>0000000=>0000000 [5,4,8,3,1,2,7,6]=>[4,5,1,6,8,7,2,3]=>0000000=>0000000 [4,2,1,8,7,5,3,6]=>[5,7,8,1,2,4,6,3]=>0000000=>0000000 [5,7,8,4,2,1,6,3]=>[4,2,1,5,7,8,3,6]=>0000000=>0000000 [6,3,1,5,4,8,2,7]=>[3,6,8,4,5,1,7,2]=>0000000=>0000000 [3,7,2,6,1,5,8,4]=>[6,2,7,3,8,4,1,5]=>0000000=>0000000 [1,5,3,7,6,4,8,2]=>[8,4,6,2,3,5,1,7]=>0000000=>0000000 [6,4,1,7,5,3,8,2]=>[3,5,8,2,4,6,1,7]=>0000000=>0000000 [2,5,1,4,7,6,8,3]=>[7,4,8,5,2,3,1,6]=>0000000=>0000000 [1,4,8,3,6,2,7,5]=>[8,5,1,6,3,7,2,4]=>0000000=>0000000 [2,8,3,5,1,7,6,4]=>[7,1,6,4,8,2,3,5]=>0000000=>0000000 [4,8,2,6,1,7,5,3]=>[5,1,7,3,8,2,4,6]=>0000000=>0000000 [8,3,4,1,7,6,5,2]=>[1,6,5,8,2,3,4,7]=>1000000=>0000001 [8,4,2,5,1,7,6,3]=>[1,5,7,4,8,2,3,6]=>1000000=>0000001 [2,3,8,6,1,7,5,4]=>[7,6,1,3,8,2,4,5]=>0000000=>0000000 [8,5,1,2,7,6,4,3]=>[1,4,8,7,2,3,5,6]=>1000000=>0000001 [4,2,8,6,1,7,5,3]=>[5,7,1,3,8,2,4,6]=>0000000=>0000000 [3,8,1,7,2,6,5,4]=>[6,1,8,2,7,3,4,5]=>0000000=>0000000 [6,3,5,8,1,7,2,4]=>[3,6,4,1,8,2,7,5]=>0000000=>0000000 [2,6,4,7,1,8,5,3]=>[7,3,5,2,8,1,4,6]=>0000000=>0000000 [3,5,8,2,1,7,6,4]=>[6,4,1,7,8,2,3,5]=>0000000=>0000000 [4,8,1,3,6,7,5,2]=>[5,1,8,6,3,2,4,7]=>0000000=>0000000 [8,2,4,5,7,1,3,6]=>[1,7,5,4,2,8,6,3]=>1000000=>0000001 [3,4,6,2,7,5,1,8]=>[6,5,3,7,2,4,8,1]=>0000000=>0000000 [4,3,6,1,2,7,8,5]=>[5,6,3,8,7,2,1,4]=>0000000=>0000000 [3,7,6,2,5,1,8,4]=>[6,2,3,7,4,8,1,5]=>0000000=>0000000 [2,7,8,6,4,3,1,5]=>[7,2,1,3,5,6,8,4]=>0000000=>0000000 [4,1,2,7,5,8,6,3]=>[5,8,7,2,4,1,3,6]=>0000000=>0000000 [7,8,3,5,1,6,2,4]=>[2,1,6,4,8,3,7,5]=>0100000=>0000010 [6,5,7,3,2,1,8,4]=>[3,4,2,6,7,8,1,5]=>0000000=>0000000 [7,2,3,6,4,5,8,1]=>[2,7,6,3,5,4,1,8]=>0000001=>1000000 [1,5,8,7,2,4,6,3]=>[8,4,1,2,7,5,3,6]=>0000000=>0000000 [5,1,8,7,2,4,6,3]=>[4,8,1,2,7,5,3,6]=>0000000=>0000000 [7,2,8,6,3,1,5,4]=>[2,7,1,3,6,8,4,5]=>0000000=>0000000 [2,5,8,7,1,4,6,3]=>[7,4,1,2,8,5,3,6]=>0000000=>0000000 [2,5,8,7,3,4,6,1]=>[7,4,1,2,6,5,3,8]=>0000001=>1000000 [5,4,6,8,2,3,1,7]=>[4,5,3,1,7,6,8,2]=>0000000=>0000000 [5,3,8,7,1,4,6,2]=>[4,6,1,2,8,5,3,7]=>0000000=>0000000 [5,4,6,8,1,3,2,7]=>[4,5,3,1,8,6,7,2]=>0000000=>0000000 [5,1,4,3,6,8,2,7]=>[4,8,5,6,3,1,7,2]=>0000000=>0000000 [4,8,6,5,1,3,2,7]=>[5,1,3,4,8,6,7,2]=>0000000=>0000000 [4,5,6,1,8,3,2,7]=>[5,4,3,8,1,6,7,2]=>0000000=>0000000 [1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>0000000=>0000000 [4,8,6,5,2,3,1,7]=>[5,1,3,4,7,6,8,2]=>0000000=>0000000 [3,8,5,7,2,4,6,1]=>[6,1,4,2,7,5,3,8]=>0000001=>1000000 [4,5,6,2,8,3,1,7]=>[5,4,3,7,1,6,8,2]=>0000000=>0000000 [5,3,4,2,7,1,8,6]=>[4,6,5,7,2,8,1,3]=>0000000=>0000000 [2,4,6,8,1,7,3,5]=>[7,5,3,1,8,2,6,4]=>0000000=>0000000 [8,5,1,3,4,2,7,6]=>[1,4,8,6,5,7,2,3]=>1000000=>0000001 [2,8,5,7,3,4,6,1]=>[7,1,4,2,6,5,3,8]=>0000001=>1000000 [5,2,3,6,4,7,1,8]=>[4,7,6,3,5,2,8,1]=>0000000=>0000000 [5,7,3,4,8,6,2,1]=>[4,2,6,5,1,3,7,8]=>0000011=>1100000 [4,1,2,5,7,8,6,3]=>[5,8,7,4,2,1,3,6]=>0000000=>0000000 [1,8,2,4,7,5,6,3]=>[8,1,7,5,2,4,3,6]=>0000000=>0000000 [4,8,5,1,2,3,6,7]=>[5,1,4,8,7,6,3,2]=>0000000=>0000000 [8,7,2,6,1,4,3,5]=>[1,2,7,3,8,5,6,4]=>1100000=>0000011 [8,6,5,1,3,7,2,4]=>[1,3,4,8,6,2,7,5]=>1000000=>0000001 [2,8,3,1,6,5,7,4]=>[7,1,6,8,3,4,2,5]=>0000000=>0000000 [4,3,5,7,8,6,1,2]=>[5,6,4,2,1,3,8,7]=>0000010=>0100000 [7,1,3,2,4,6,8,5]=>[2,8,6,7,5,3,1,4]=>0000000=>0000000 [5,2,7,1,6,3,8,4]=>[4,7,2,8,3,6,1,5]=>0000000=>0000000 [8,3,7,6,4,1,2,5]=>[1,6,2,3,5,8,7,4]=>1000000=>0000001 [4,1,8,5,3,7,6,2]=>[5,8,1,4,6,2,3,7]=>0000000=>0000000 [5,4,7,1,8,2,3,6]=>[4,5,2,8,1,7,6,3]=>0000000=>0000000 [5,1,3,6,2,8,4,7]=>[4,8,6,3,7,1,5,2]=>0000000=>0000000 [5,1,3,6,2,4,8,7]=>[4,8,6,3,7,5,1,2]=>0000000=>0000000 [4,3,2,7,6,8,1,5]=>[5,6,7,2,3,1,8,4]=>0000000=>0000000 [4,3,1,2,7,5,8,6]=>[5,6,8,7,2,4,1,3]=>0000000=>0000000 [4,8,3,2,1,6,5,7]=>[5,1,6,7,8,3,4,2]=>0000000=>0000000 [4,8,3,2,5,1,6,7]=>[5,1,6,7,4,8,3,2]=>0000000=>0000000 [1,4,3,2,7,5,6,8]=>[8,5,6,7,2,4,3,1]=>0000000=>0000000 [4,3,2,8,6,7,1,5]=>[5,6,7,1,3,2,8,4]=>0000000=>0000000 [4,3,1,2,5,7,8,6]=>[5,6,8,7,4,2,1,3]=>0000000=>0000000 [2,5,3,6,1,4,8,7]=>[7,4,6,3,8,5,1,2]=>0000000=>0000000 [3,4,2,1,5,8,6,7]=>[6,5,7,8,4,1,3,2]=>0000000=>0000000 [2,4,3,1,7,5,8,6]=>[7,5,6,8,2,4,1,3]=>0000000=>0000000 [2,5,3,7,1,4,8,6]=>[7,4,6,2,8,5,1,3]=>0000000=>0000000 [3,5,2,6,1,8,4,7]=>[6,4,7,3,8,1,5,2]=>0000000=>0000000 [2,5,3,6,1,7,8,4]=>[7,4,6,3,8,2,1,5]=>0000000=>0000000 [5,4,3,1,7,6,8,2]=>[4,5,6,8,2,3,1,7]=>0000000=>0000000 [7,3,2,1,8,6,4,5]=>[2,6,7,8,1,3,5,4]=>0000000=>0000000 [5,3,2,1,8,7,4,6]=>[4,6,7,8,1,2,5,3]=>0000000=>0000000 [4,5,2,7,1,8,3,6]=>[5,4,7,2,8,1,6,3]=>0000000=>0000000 [4,8,5,2,1,3,7,6]=>[5,1,4,7,8,6,2,3]=>0000000=>0000000 [6,5,2,3,1,8,7,4]=>[3,4,7,6,8,1,2,5]=>0000000=>0000000 [8,2,7,4,5,3,1,6]=>[1,7,2,5,4,6,8,3]=>1000000=>0000001 [4,6,8,7,5,3,1,2]=>[5,3,1,2,4,6,8,7]=>0000110=>0110000 [6,8,7,4,5,3,1,2]=>[3,1,2,5,4,6,8,7]=>0010110=>0110100 [6,4,2,5,7,3,8,1]=>[3,5,7,4,2,6,1,8]=>0000001=>1000000 [6,7,4,2,5,3,8,1]=>[3,2,5,7,4,6,1,8]=>0000001=>1000000 [4,6,2,3,8,7,1,5]=>[5,3,7,6,1,2,8,4]=>0000000=>0000000 [4,6,2,3,8,5,7,1]=>[5,3,7,6,1,4,2,8]=>0000001=>1000000 [6,4,7,2,3,8,5,1]=>[3,5,2,7,6,1,4,8]=>0000001=>1000000 [6,7,4,2,8,5,1,3]=>[3,2,5,7,1,4,8,6]=>0000000=>0000000 [6,4,2,8,5,7,1,3]=>[3,5,7,1,4,2,8,6]=>0000000=>0000000 [5,1,7,2,8,6,3,4]=>[4,8,2,7,1,3,6,5]=>0000000=>0000000 [1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>0000000=>0000000 [3,4,2,6,8,5,7,1]=>[6,5,7,3,1,4,2,8]=>0000001=>1000000 [5,8,3,4,6,1,2,7]=>[4,1,6,5,3,8,7,2]=>0000000=>0000000 [7,3,4,8,1,2,6,5]=>[2,6,5,1,8,7,3,4]=>0000000=>0000000 [7,3,4,1,8,2,6,5]=>[2,6,5,8,1,7,3,4]=>0000000=>0000000 [5,3,8,1,4,6,2,7]=>[4,6,1,8,5,3,7,2]=>0000000=>0000000 [5,6,8,3,1,4,2,7]=>[4,3,1,6,8,5,7,2]=>0000000=>0000000 [5,6,3,1,8,2,4,7]=>[4,3,6,8,1,7,5,2]=>0000000=>0000000 [3,4,7,1,2,6,8,5]=>[6,5,2,8,7,3,1,4]=>0000000=>0000000 [3,7,4,1,2,8,6,5]=>[6,2,5,8,7,1,3,4]=>0000000=>0000000 [5,8,3,1,6,2,4,7]=>[4,1,6,8,3,7,5,2]=>0000000=>0000000 [5,7,1,2,4,6,8,3]=>[4,2,8,7,5,3,1,6]=>0000000=>0000000 [3,8,7,2,6,1,4,5]=>[6,1,2,7,3,8,5,4]=>0000000=>0000000 [1,3,8,7,5,2,6,4]=>[8,6,1,2,4,7,3,5]=>0000000=>0000000 [1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000=>0000000 [2,8,7,5,3,1,4,6]=>[7,1,2,4,6,8,5,3]=>0000000=>0000000 [2,8,7,3,1,4,6,5]=>[7,1,2,6,8,5,3,4]=>0000000=>0000000 [6,8,7,1,5,2,4,3]=>[3,1,2,8,4,7,5,6]=>0010000=>0000100 [8,7,6,4,1,3,5,2]=>[1,2,3,5,8,6,4,7]=>1110000=>0000111 [8,7,6,2,4,3,5,1]=>[1,2,3,7,5,6,4,8]=>1110001=>1000111 [2,5,1,8,3,6,4,7]=>[7,4,8,1,6,3,5,2]=>0000000=>0000000 [1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000=>0000000 [6,1,7,4,8,5,2,3]=>[3,8,2,5,1,4,7,6]=>0000000=>0000000 [5,4,7,8,6,2,3,1]=>[4,5,2,1,3,7,6,8]=>0000101=>1010000 [7,4,8,3,5,6,2,1]=>[2,5,1,6,4,3,7,8]=>0000011=>1100000 [4,7,5,1,8,6,2,3]=>[5,2,4,8,1,3,7,6]=>0000000=>0000000 [6,4,1,3,7,8,5,2]=>[3,5,8,6,2,1,4,7]=>0000000=>0000000 [7,2,4,8,5,1,6,3]=>[2,7,5,1,4,8,3,6]=>0000000=>0000000 [5,7,3,6,2,4,8,1]=>[4,2,6,3,7,5,1,8]=>0000001=>1000000 [3,7,1,2,4,6,8,5]=>[6,2,8,7,5,3,1,4]=>0000000=>0000000 [5,7,2,6,1,4,8,3]=>[4,2,7,3,8,5,1,6]=>0000000=>0000000 [5,7,1,6,2,4,8,3]=>[4,2,8,3,7,5,1,6]=>0000000=>0000000 [4,6,1,7,5,3,8,2]=>[5,3,8,2,4,6,1,7]=>0000000=>0000000 [6,3,4,1,7,5,8,2]=>[3,6,5,8,2,4,1,7]=>0000000=>0000000 [8,7,1,3,5,6,4,2]=>[1,2,8,6,4,3,5,7]=>1100000=>0000011 [8,7,1,4,6,5,3,2]=>[1,2,8,5,3,4,6,7]=>1100000=>0000011 [8,1,4,6,7,5,3,2]=>[1,8,5,3,2,4,6,7]=>1000000=>0000001 [4,6,8,1,7,5,3,2]=>[5,3,1,8,2,4,6,7]=>0000000=>0000000 [8,1,5,7,6,4,3,2]=>[1,8,4,2,3,5,6,7]=>1000000=>0000001 [4,7,3,8,5,6,2,1]=>[5,2,6,1,4,3,7,8]=>0000011=>1100000 [3,4,7,5,8,2,1,6]=>[6,5,2,4,1,7,8,3]=>0000000=>0000000 [6,8,3,2,1,5,4,7]=>[3,1,6,7,8,4,5,2]=>0000000=>0000000 [2,6,7,8,3,5,4,1]=>[7,3,2,1,6,4,5,8]=>0000001=>1000000 [8,6,4,5,1,3,7,2]=>[1,3,5,4,8,6,2,7]=>1000000=>0000001 [7,4,8,5,3,6,1,2]=>[2,5,1,4,6,3,8,7]=>0000010=>0100000 [4,2,1,8,7,3,6,5]=>[5,7,8,1,2,6,3,4]=>0000000=>0000000 [8,4,1,2,3,7,6,5]=>[1,5,8,7,6,2,3,4]=>1000000=>0000001 [5,1,8,7,3,2,6,4]=>[4,8,1,2,6,7,3,5]=>0000000=>0000000 [8,4,1,5,3,7,6,2]=>[1,5,8,4,6,2,3,7]=>1000000=>0000001 [8,3,4,1,2,7,6,5]=>[1,6,5,8,7,2,3,4]=>1000000=>0000001 [8,3,1,4,2,7,6,5]=>[1,6,8,5,7,2,3,4]=>1000000=>0000001 [2,5,8,7,3,1,6,4]=>[7,4,1,2,6,8,3,5]=>0000000=>0000000 [8,1,2,5,4,3,7,6]=>[1,8,7,4,5,6,2,3]=>1000000=>0000001 [8,1,2,5,3,7,6,4]=>[1,8,7,4,6,2,3,5]=>1000000=>0000001 [7,4,2,8,3,6,5,1]=>[2,5,7,1,6,3,4,8]=>0000001=>1000000 [7,2,1,8,4,3,6,5]=>[2,7,8,1,5,6,3,4]=>0000000=>0000000 [6,7,2,1,4,5,8,3]=>[3,2,7,8,5,4,1,6]=>0000000=>0000000 [8,1,2,7,3,5,4,6]=>[1,8,7,2,6,4,5,3]=>1000000=>0000001 [5,2,7,6,8,1,4,3]=>[4,7,2,3,1,8,5,6]=>0000000=>0000000 [6,4,3,5,1,7,2,8]=>[3,5,6,4,8,2,7,1]=>0000000=>0000000 [6,4,3,5,1,8,7,2]=>[3,5,6,4,8,1,2,7]=>0000000=>0000000 [8,3,5,7,1,4,6,2]=>[1,6,4,2,8,5,3,7]=>1000000=>0000001 [8,4,6,5,1,3,2,7]=>[1,5,3,4,8,6,7,2]=>1000000=>0000001 [8,7,5,6,3,1,4,2]=>[1,2,4,3,6,8,5,7]=>1101000=>0001011 [2,7,3,4,6,1,8,5]=>[7,2,6,5,3,8,1,4]=>0000000=>0000000 [7,3,5,4,1,6,2,8]=>[2,6,4,5,8,3,7,1]=>0000000=>0000000 [7,3,5,4,1,8,2,6]=>[2,6,4,5,8,1,7,3]=>0000000=>0000000 [8,4,3,5,1,6,2,7]=>[1,5,6,4,8,3,7,2]=>1000000=>0000001 [2,3,8,4,6,5,1,7]=>[7,6,1,5,3,4,8,2]=>0000000=>0000000 [8,3,5,4,1,2,6,7]=>[1,6,4,5,8,7,3,2]=>1000000=>0000001 [4,6,1,8,2,7,3,5]=>[5,3,8,1,7,2,6,4]=>0000000=>0000000 [1,8,2,6,7,3,4,5]=>[8,1,7,3,2,6,5,4]=>0000000=>0000000 [3,1,5,8,4,2,7,6]=>[6,8,4,1,5,7,2,3]=>0000000=>0000000 [8,2,1,3,7,4,5,6]=>[1,7,8,6,2,5,4,3]=>1000000=>0000001 [5,1,3,4,8,6,2,7]=>[4,8,6,5,1,3,7,2]=>0000000=>0000000 [2,7,4,1,8,5,3,6]=>[7,2,5,8,1,4,6,3]=>0000000=>0000000 [5,7,3,6,2,1,8,4]=>[4,2,6,3,7,8,1,5]=>0000000=>0000000 [4,6,3,2,5,1,8,7]=>[5,3,6,7,4,8,1,2]=>0000000=>0000000 [8,1,7,5,2,6,3,4]=>[1,8,2,4,7,3,6,5]=>1000000=>0000001 [8,6,4,5,1,2,7,3]=>[1,3,5,4,8,7,2,6]=>1000000=>0000001 [5,8,4,2,6,1,7,3]=>[4,1,5,7,3,8,2,6]=>0000000=>0000000 [8,7,5,3,1,6,2,4]=>[1,2,4,6,8,3,7,5]=>1100000=>0000011 [2,7,6,3,5,8,1,4]=>[7,2,3,6,4,1,8,5]=>0000000=>0000000 [1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>0000000=>0000000 [6,8,4,7,5,1,3,2]=>[3,1,5,2,4,8,6,7]=>0000100=>0010000 [7,1,5,4,6,3,8,2]=>[2,8,4,5,3,6,1,7]=>0000000=>0000000 [3,2,6,8,7,5,1,4]=>[6,7,3,1,2,4,8,5]=>0000000=>0000000 [3,6,8,5,7,1,2,4]=>[6,3,1,4,2,8,7,5]=>0000000=>0000000 [2,6,1,8,7,3,5,4]=>[7,3,8,1,2,6,4,5]=>0000000=>0000000 [3,6,8,7,4,2,5,1]=>[6,3,1,2,5,7,4,8]=>0000001=>1000000 [7,5,4,1,2,8,6,3]=>[2,4,5,8,7,1,3,6]=>0000000=>0000000 [7,3,2,6,5,8,1,4]=>[2,6,7,3,4,1,8,5]=>0000000=>0000000 [5,2,6,8,7,3,1,4]=>[4,7,3,1,2,6,8,5]=>0000000=>0000000 [4,5,8,1,7,3,6,2]=>[5,4,1,8,2,6,3,7]=>0000000=>0000000 [1,5,8,3,4,7,2,6]=>[8,4,1,6,5,2,7,3]=>0000000=>0000000 [7,5,1,6,2,3,4,8]=>[2,4,8,3,7,6,5,1]=>0000000=>0000000 [7,6,2,8,3,4,5,1]=>[2,3,7,1,6,5,4,8]=>0000001=>1000000 [1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000=>0000000 [5,6,8,7,4,2,3,1]=>[4,3,1,2,5,7,6,8]=>0001101=>1011000 [7,6,5,3,1,2,8,4]=>[2,3,4,6,8,7,1,5]=>0000000=>0000000 [4,2,5,6,3,7,1,8]=>[5,7,4,3,6,2,8,1]=>0000000=>0000000 [8,1,2,4,6,3,5,7]=>[1,8,7,5,3,6,4,2]=>1000000=>0000001 [4,5,2,1,8,3,6,7]=>[5,4,7,8,1,6,3,2]=>0000000=>0000000 [8,4,7,3,2,5,6,1]=>[1,5,2,6,7,4,3,8]=>1000001=>1000001 [6,2,8,3,7,4,5,1]=>[3,7,1,6,2,5,4,8]=>0000001=>1000000 [4,3,7,8,6,2,5,1]=>[5,6,2,1,3,7,4,8]=>0000001=>1000000 [8,3,6,7,5,1,2,4]=>[1,6,3,2,4,8,7,5]=>1000000=>0000001 [8,4,3,5,1,6,7,2]=>[1,5,6,4,8,3,2,7]=>1000000=>0000001 [7,6,4,1,2,5,8,3]=>[2,3,5,8,7,4,1,6]=>0000000=>0000000 [8,1,6,3,5,4,2,7]=>[1,8,3,6,4,5,7,2]=>1000000=>0000001 [6,4,8,3,5,7,2,1]=>[3,5,1,6,4,2,7,8]=>0000011=>1100000 [8,3,5,7,4,6,2,1]=>[1,6,4,2,5,3,7,8]=>1000011=>1100001 [3,8,6,4,1,2,5,7]=>[6,1,3,5,8,7,4,2]=>0000000=>0000000 [8,2,3,5,1,7,4,6]=>[1,7,6,4,8,2,5,3]=>1000000=>0000001 [1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>0000000=>0000000 [1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000=>0000000 [1,3,8,5,6,4,2,7]=>[8,6,1,4,3,5,7,2]=>0000000=>0000000 [1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>0000000=>0000000 [1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000=>0000000 [1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>0000000=>0000000 [1,3,5,8,6,4,2,7]=>[8,6,4,1,3,5,7,2]=>0000000=>0000000 [7,5,2,1,4,3,6,8]=>[2,4,7,8,5,6,3,1]=>0000000=>0000000 [6,3,4,5,1,7,2,8]=>[3,6,5,4,8,2,7,1]=>0000000=>0000000 [6,5,2,1,4,7,3,8]=>[3,4,7,8,5,2,6,1]=>0000000=>0000000 [5,6,3,1,4,7,2,8]=>[4,3,6,8,5,2,7,1]=>0000000=>0000000 [5,4,1,8,3,6,7,2]=>[4,5,8,1,6,3,2,7]=>0000000=>0000000 [4,7,6,3,2,1,5,8]=>[5,2,3,6,7,8,4,1]=>0000000=>0000000 [6,5,1,4,3,8,7,2]=>[3,4,8,5,6,1,2,7]=>0000000=>0000000 [3,2,7,1,8,6,5,4]=>[6,7,2,8,1,3,4,5]=>0000000=>0000000 [1,7,6,2,5,3,8,4]=>[8,2,3,7,4,6,1,5]=>0000000=>0000000 [1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>0000000=>0000000 [4,7,1,5,2,8,6,3]=>[5,2,8,4,7,1,3,6]=>0000000=>0000000 [6,2,7,3,8,5,4,1]=>[3,7,2,6,1,4,5,8]=>0000001=>1000000 [3,4,8,7,1,5,2,6]=>[6,5,1,2,8,4,7,3]=>0000000=>0000000 [1,8,4,6,2,5,7,3]=>[8,1,5,3,7,4,2,6]=>0000000=>0000000 [8,7,4,3,1,6,5,2]=>[1,2,5,6,8,3,4,7]=>1100000=>0000011 [8,7,4,2,1,6,5,3]=>[1,2,5,7,8,3,4,6]=>1100000=>0000011 [3,6,2,1,8,7,5,4]=>[6,3,7,8,1,2,4,5]=>0000000=>0000000 [2,8,5,7,3,1,6,4]=>[7,1,4,2,6,8,3,5]=>0000000=>0000000 [8,6,5,3,7,4,1,2]=>[1,3,4,6,2,5,8,7]=>1000010=>0100001 [2,5,4,8,7,6,1,3]=>[7,4,5,1,2,3,8,6]=>0000000=>0000000 [1,8,2,6,7,4,3,5]=>[8,1,7,3,2,5,6,4]=>0000000=>0000000 [8,6,5,1,4,7,2,3]=>[1,3,4,8,5,2,7,6]=>1000000=>0000001 [1,8,7,3,4,2,6,5]=>[8,1,2,6,5,7,3,4]=>0000000=>0000000 [8,7,6,2,1,4,5,3]=>[1,2,3,7,8,5,4,6]=>1110000=>0000111 [1,8,6,2,3,5,7,4]=>[8,1,3,7,6,4,2,5]=>0000000=>0000000 [5,3,4,6,1,8,2,7]=>[4,6,5,3,8,1,7,2]=>0000000=>0000000 [3,5,1,7,4,2,8,6]=>[6,4,8,2,5,7,1,3]=>0000000=>0000000 [8,6,2,5,1,4,7,3]=>[1,3,7,4,8,5,2,6]=>1000000=>0000001 [8,4,2,1,5,7,6,3]=>[1,5,7,8,4,2,3,6]=>1000000=>0000001 [8,2,5,7,6,4,1,3]=>[1,7,4,2,3,5,8,6]=>1000000=>0000001 [6,5,1,4,7,8,2,3]=>[3,4,8,5,2,1,7,6]=>0000000=>0000000 [5,8,1,4,2,7,6,3]=>[4,1,8,5,7,2,3,6]=>0000000=>0000000 [5,4,7,6,1,3,2,8]=>[4,5,2,3,8,6,7,1]=>0000000=>0000000 [8,3,5,7,6,4,1,2]=>[1,6,4,2,3,5,8,7]=>1000010=>0100001 [8,6,1,3,5,7,4,2]=>[1,3,8,6,4,2,5,7]=>1000000=>0000001 [8,7,6,2,1,5,4,3]=>[1,2,3,7,8,4,5,6]=>1110000=>0000111 [8,2,7,4,6,5,1,3]=>[1,7,2,5,3,4,8,6]=>1000000=>0000001 [8,4,1,7,6,2,5,3]=>[1,5,8,2,3,7,4,6]=>1000000=>0000001 [4,7,1,6,8,5,2,3]=>[5,2,8,3,1,4,7,6]=>0000000=>0000000 [4,7,1,6,2,5,8,3]=>[5,2,8,3,7,4,1,6]=>0000000=>0000000 [8,7,1,5,4,2,6,3]=>[1,2,8,4,5,7,3,6]=>1100000=>0000011 [3,5,7,8,2,6,4,1]=>[6,4,2,1,7,3,5,8]=>0000001=>1000000 [8,6,7,3,1,4,5,2]=>[1,3,2,6,8,5,4,7]=>1010000=>0000101 [8,1,5,7,6,3,4,2]=>[1,8,4,2,3,6,5,7]=>1000000=>0000001 [8,7,6,4,1,5,3,2]=>[1,2,3,5,8,4,6,7]=>1110000=>0000111 [8,7,2,6,3,1,5,4]=>[1,2,7,3,6,8,4,5]=>1100000=>0000011 [3,7,5,4,1,6,8,2]=>[6,2,4,5,8,3,1,7]=>0000000=>0000000 [8,3,4,5,6,1,7,2]=>[1,6,5,4,3,8,2,7]=>1000000=>0000001 [8,2,4,6,5,1,3,7]=>[1,7,5,3,4,8,6,2]=>1000000=>0000001 [6,8,1,5,4,3,7,2]=>[3,1,8,4,5,6,2,7]=>0000000=>0000000 [1,7,5,4,2,6,8,3]=>[8,2,4,5,7,3,1,6]=>0000000=>0000000 [4,7,6,1,2,8,5,3]=>[5,2,3,8,7,1,4,6]=>0000000=>0000000 [4,3,7,2,1,8,6,5]=>[5,6,2,7,8,1,3,4]=>0000000=>0000000 [6,4,8,1,3,5,2,7]=>[3,5,1,8,6,4,7,2]=>0000000=>0000000 [8,1,4,5,3,6,2,7]=>[1,8,5,4,6,3,7,2]=>1000000=>0000001 [4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>0000000=>0000000 [7,1,4,8,5,6,2,3]=>[2,8,5,1,4,3,7,6]=>0000000=>0000000 [8,7,2,3,5,6,4,1]=>[1,2,7,6,4,3,5,8]=>1100001=>1000011 [3,8,6,1,5,4,7,2]=>[6,1,3,8,4,5,2,7]=>0000000=>0000000 [2,4,1,8,5,3,6,7]=>[7,5,8,1,4,6,3,2]=>0000000=>0000000 [4,6,7,1,3,5,2,8]=>[5,3,2,8,6,4,7,1]=>0000000=>0000000 [3,2,6,7,4,5,8,1]=>[6,7,3,2,5,4,1,8]=>0000001=>1000000 [3,7,4,6,5,1,2,8]=>[6,2,5,3,4,8,7,1]=>0000000=>0000000 [7,8,6,1,5,2,4,3]=>[2,1,3,8,4,7,5,6]=>0110000=>0000110 [8,3,5,1,4,6,2,7]=>[1,6,4,8,5,3,7,2]=>1000000=>0000001 [3,8,7,1,2,6,5,4]=>[6,1,2,8,7,3,4,5]=>0000000=>0000000 [8,3,5,2,4,7,6,1]=>[1,6,4,7,5,2,3,8]=>1000001=>1000001 [6,4,2,5,7,1,8,3]=>[3,5,7,4,2,8,1,6]=>0000000=>0000000 [5,2,4,6,3,1,8,7]=>[4,7,5,3,6,8,1,2]=>0000000=>0000000 [8,3,5,6,7,2,1,4]=>[1,6,4,3,2,7,8,5]=>1000000=>0000001 [3,4,7,5,8,1,6,2]=>[6,5,2,4,1,8,3,7]=>0000000=>0000000 [5,8,2,6,7,1,4,3]=>[4,1,7,3,2,8,5,6]=>0000000=>0000000 [5,3,4,2,8,6,1,7]=>[4,6,5,7,1,3,8,2]=>0000000=>0000000 [8,3,5,6,2,1,7,4]=>[1,6,4,3,7,8,2,5]=>1000000=>0000001 [5,4,8,1,6,7,2,3]=>[4,5,1,8,3,2,7,6]=>0000000=>0000000 [8,7,4,6,3,1,2,5]=>[1,2,5,3,6,8,7,4]=>1100000=>0000011 [4,6,3,1,5,7,8,2]=>[5,3,6,8,4,2,1,7]=>0000000=>0000000 [3,7,1,6,5,8,4,2]=>[6,2,8,3,4,1,5,7]=>0000000=>0000000 [6,5,1,8,2,4,3,7]=>[3,4,8,1,7,5,6,2]=>0000000=>0000000 [5,6,1,3,7,2,8,4]=>[4,3,8,6,2,7,1,5]=>0000000=>0000000 [1,7,8,5,3,6,2,4]=>[8,2,1,4,6,3,7,5]=>0000000=>0000000 [4,6,1,3,2,7,8,5]=>[5,3,8,6,7,2,1,4]=>0000000=>0000000 [3,5,1,8,4,2,6,7]=>[6,4,8,1,5,7,3,2]=>0000000=>0000000 [5,3,4,6,2,8,7,1]=>[4,6,5,3,7,1,2,8]=>0000001=>1000000 [8,5,2,6,3,4,7,1]=>[1,4,7,3,6,5,2,8]=>1000001=>1000001 [6,8,5,7,3,2,4,1]=>[3,1,4,2,6,7,5,8]=>0001001=>1001000 [1,8,7,5,3,6,2,4]=>[8,1,2,4,6,3,7,5]=>0000000=>0000000 [6,2,3,8,1,4,7,5]=>[3,7,6,1,8,5,2,4]=>0000000=>0000000 [4,8,3,6,7,2,1,5]=>[5,1,6,3,2,7,8,4]=>0000000=>0000000 [3,8,6,2,7,1,4,5]=>[6,1,3,7,2,8,5,4]=>0000000=>0000000 [6,3,7,5,2,4,1,8]=>[3,6,2,4,7,5,8,1]=>0000000=>0000000 [1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000=>0000000 [6,3,7,1,4,2,8,5]=>[3,6,2,8,5,7,1,4]=>0000000=>0000000 [7,6,2,5,1,8,3,4]=>[2,3,7,4,8,1,6,5]=>0000000=>0000000 [8,2,6,3,5,7,1,4]=>[1,7,3,6,4,2,8,5]=>1000000=>0000001 [8,2,5,1,4,7,6,3]=>[1,7,4,8,5,2,3,6]=>1000000=>0000001 [5,4,2,1,3,6,8,7]=>[4,5,7,8,6,3,1,2]=>0000000=>0000000 [7,6,8,1,2,5,4,3]=>[2,3,1,8,7,4,5,6]=>0010000=>0000100 [2,7,1,4,8,6,5,3]=>[7,2,8,5,1,3,4,6]=>0000000=>0000000 [5,1,4,7,2,3,6,8]=>[4,8,5,2,7,6,3,1]=>0000000=>0000000 [3,7,2,1,6,8,5,4]=>[6,2,7,8,3,1,4,5]=>0000000=>0000000 [3,5,8,6,7,2,1,4]=>[6,4,1,3,2,7,8,5]=>0000000=>0000000 [1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>0000000=>0000000 [6,1,3,7,5,4,2,8]=>[3,8,6,2,4,5,7,1]=>0000000=>0000000 [5,4,1,2,7,6,8,3]=>[4,5,8,7,2,3,1,6]=>0000000=>0000000 [4,7,2,6,8,3,5,1]=>[5,2,7,3,1,6,4,8]=>0000001=>1000000 [4,1,7,6,8,3,5,2]=>[5,8,2,3,1,6,4,7]=>0000000=>0000000 [6,4,8,7,1,5,3,2]=>[3,5,1,2,8,4,6,7]=>0000000=>0000000 [1,7,5,6,2,4,8,3]=>[8,2,4,3,7,5,1,6]=>0000000=>0000000 [2,5,4,6,1,8,3,7]=>[7,4,5,3,8,1,6,2]=>0000000=>0000000 [7,8,2,4,1,6,3,5]=>[2,1,7,5,8,3,6,4]=>0100000=>0000010 [3,8,5,4,7,1,2,6]=>[6,1,4,5,2,8,7,3]=>0000000=>0000000 [6,4,8,1,5,2,3,7]=>[3,5,1,8,4,7,6,2]=>0000000=>0000000 [6,2,5,1,3,8,7,4]=>[3,7,4,8,6,1,2,5]=>0000000=>0000000 [7,2,4,8,1,6,3,5]=>[2,7,5,1,8,3,6,4]=>0000000=>0000000 [7,5,6,1,2,8,3,4]=>[2,4,3,8,7,1,6,5]=>0000000=>0000000 [5,7,8,4,6,2,3,1]=>[4,2,1,5,3,7,6,8]=>0000101=>1010000 [6,7,8,3,5,2,4,1]=>[3,2,1,6,4,7,5,8]=>0010001=>1000100 [4,7,8,3,5,2,6,1]=>[5,2,1,6,4,7,3,8]=>0000001=>1000000 [6,7,8,3,4,1,5,2]=>[3,2,1,6,5,8,4,7]=>0010000=>0000100 [6,5,7,3,4,1,8,2]=>[3,4,2,6,5,8,1,7]=>0000000=>0000000 [3,6,7,4,8,2,5,1]=>[6,3,2,5,1,7,4,8]=>0000001=>1000000 [5,3,4,6,8,7,2,1]=>[4,6,5,3,1,2,7,8]=>0000011=>1100000 [8,6,3,5,1,4,7,2]=>[1,3,6,4,8,5,2,7]=>1000000=>0000001 [3,6,1,7,4,5,8,2]=>[6,3,8,2,5,4,1,7]=>0000000=>0000000 [8,6,2,5,7,3,1,4]=>[1,3,7,4,2,6,8,5]=>1000000=>0000001 [5,3,6,8,7,4,2,1]=>[4,6,3,1,2,5,7,8]=>0000011=>1100000 [2,8,1,5,3,6,4,7]=>[7,1,8,4,6,3,5,2]=>0000000=>0000000 [3,2,5,8,6,7,1,4]=>[6,7,4,1,3,2,8,5]=>0000000=>0000000 [1,8,2,7,3,5,6,4]=>[8,1,7,2,6,4,3,5]=>0000000=>0000000 [5,4,2,1,7,3,8,6]=>[4,5,7,8,2,6,1,3]=>0000000=>0000000 [5,4,3,1,2,6,8,7]=>[4,5,6,8,7,3,1,2]=>0000000=>0000000 [3,7,2,6,1,4,8,5]=>[6,2,7,3,8,5,1,4]=>0000000=>0000000 [3,7,4,6,8,1,2,5]=>[6,2,5,3,1,8,7,4]=>0000000=>0000000 [5,3,4,7,2,6,8,1]=>[4,6,5,2,7,3,1,8]=>0000001=>1000000 [1,5,4,8,6,7,3,2]=>[8,4,5,1,3,2,6,7]=>0000000=>0000000 [6,3,4,8,5,2,7,1]=>[3,6,5,1,4,7,2,8]=>0000001=>1000000 [5,4,6,2,8,7,3,1]=>[4,5,3,7,1,2,6,8]=>0000001=>1000000 [5,8,6,1,4,3,7,2]=>[4,1,3,8,5,6,2,7]=>0000000=>0000000 [6,8,4,2,3,1,7,5]=>[3,1,5,7,6,8,2,4]=>0000000=>0000000 [7,1,5,8,6,4,2,3]=>[2,8,4,1,3,5,7,6]=>0000000=>0000000 [3,2,6,8,1,7,5,4]=>[6,7,3,1,8,2,4,5]=>0000000=>0000000 [4,8,3,5,2,1,7,6]=>[5,1,6,4,7,8,2,3]=>0000000=>0000000 [3,8,2,6,1,4,7,5]=>[6,1,7,3,8,5,2,4]=>0000000=>0000000 [1,4,3,8,5,6,2,7]=>[8,5,6,1,4,3,7,2]=>0000000=>0000000 [2,5,6,3,4,7,1,8]=>[7,4,3,6,5,2,8,1]=>0000000=>0000000 [1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000=>0000000 [8,2,1,4,5,7,3,6]=>[1,7,8,5,4,2,6,3]=>1000000=>0000001 [2,8,5,1,3,6,7,4]=>[7,1,4,8,6,3,2,5]=>0000000=>0000000 [1,5,3,8,6,2,7,4]=>[8,4,6,1,3,7,2,5]=>0000000=>0000000 [5,8,3,4,7,6,2,1]=>[4,1,6,5,2,3,7,8]=>0000011=>1100000 [2,6,3,8,5,7,1,4]=>[7,3,6,1,4,2,8,5]=>0000000=>0000000 [7,3,4,2,1,6,8,5]=>[2,6,5,7,8,3,1,4]=>0000000=>0000000 [7,4,2,5,8,6,1,3]=>[2,5,7,4,1,3,8,6]=>0000000=>0000000 [1,4,6,3,7,8,2,5]=>[8,5,3,6,2,1,7,4]=>0000000=>0000000 [7,4,6,1,5,8,2,3]=>[2,5,3,8,4,1,7,6]=>0000000=>0000000 [1,8,6,4,3,5,2,7]=>[8,1,3,5,6,4,7,2]=>0000000=>0000000 [4,6,2,5,3,7,1,8]=>[5,3,7,4,6,2,8,1]=>0000000=>0000000 [7,1,5,6,2,8,4,3]=>[2,8,4,3,7,1,5,6]=>0000000=>0000000 [8,2,7,4,3,1,6,5]=>[1,7,2,5,6,8,3,4]=>1000000=>0000001 [3,1,8,5,7,6,4,2]=>[6,8,1,4,2,3,5,7]=>0000000=>0000000 [4,8,6,1,5,2,3,7]=>[5,1,3,8,4,7,6,2]=>0000000=>0000000 [3,5,4,6,1,2,8,7]=>[6,4,5,3,8,7,1,2]=>0000000=>0000000 [4,5,2,1,6,8,7,3]=>[5,4,7,8,3,1,2,6]=>0000000=>0000000 [1,4,3,8,2,7,5,6]=>[8,5,6,1,7,2,4,3]=>0000000=>0000000 [4,6,3,2,5,7,1,8]=>[5,3,6,7,4,2,8,1]=>0000000=>0000000 [7,5,1,2,3,8,4,6]=>[2,4,8,7,6,1,5,3]=>0000000=>0000000 [6,2,7,4,1,3,5,8]=>[3,7,2,5,8,6,4,1]=>0000000=>0000000 [4,5,7,3,1,2,6,8]=>[5,4,2,6,8,7,3,1]=>0000000=>0000000 [7,5,1,2,6,3,4,8]=>[2,4,8,7,3,6,5,1]=>0000000=>0000000 [5,4,7,1,6,2,8,3]=>[4,5,2,8,3,7,1,6]=>0000000=>0000000 [8,3,2,5,7,1,6,4]=>[1,6,7,4,2,8,3,5]=>1000000=>0000001 [3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]=>0000000=>0000000 [7,5,1,2,3,6,4,8]=>[2,4,8,7,6,3,5,1]=>0000000=>0000000 [8,5,1,2,3,6,4,7]=>[1,4,8,7,6,3,5,2]=>1000000=>0000001 [8,2,3,5,7,4,6,1]=>[1,7,6,4,2,5,3,8]=>1000001=>1000001 [1,3,8,6,4,5,7,2]=>[8,6,1,3,5,4,2,7]=>0000000=>0000000 [1,3,7,6,8,4,5,2]=>[8,6,2,3,1,5,4,7]=>0000000=>0000000 [5,7,3,4,2,6,8,1]=>[4,2,6,5,7,3,1,8]=>0000001=>1000000 [1,3,7,5,8,4,6,2]=>[8,6,2,4,1,5,3,7]=>0000000=>0000000 [4,2,1,7,5,6,3,8]=>[5,7,8,2,4,3,6,1]=>0000000=>0000000 [3,4,2,6,1,8,5,7]=>[6,5,7,3,8,1,4,2]=>0000000=>0000000 [8,4,3,6,1,5,7,2]=>[1,5,6,3,8,4,2,7]=>1000000=>0000001 [4,5,1,6,3,7,8,2]=>[5,4,8,3,6,2,1,7]=>0000000=>0000000 [6,7,2,3,5,4,1,8]=>[3,2,7,6,4,5,8,1]=>0000000=>0000000 [8,3,6,4,2,1,7,5]=>[1,6,3,5,7,8,2,4]=>1000000=>0000001 [8,5,1,3,6,7,4,2]=>[1,4,8,6,3,2,5,7]=>1000000=>0000001 [8,7,6,2,3,5,4,1]=>[1,2,3,7,6,4,5,8]=>1110001=>1000111 [7,2,6,3,1,4,5,8]=>[2,7,3,6,8,5,4,1]=>0000000=>0000000 [5,7,4,6,1,2,8,3]=>[4,2,5,3,8,7,1,6]=>0000000=>0000000 [7,5,4,1,6,3,8,2]=>[2,4,5,8,3,6,1,7]=>0000000=>0000000 [3,5,2,1,6,4,8,7]=>[6,4,7,8,3,5,1,2]=>0000000=>0000000 [5,2,1,6,4,7,8,3]=>[4,7,8,3,5,2,1,6]=>0000000=>0000000 [7,2,6,8,1,4,5,3]=>[2,7,3,1,8,5,4,6]=>0000000=>0000000 [7,3,2,1,5,8,6,4]=>[2,6,7,8,4,1,3,5]=>0000000=>0000000 [7,3,2,1,5,6,8,4]=>[2,6,7,8,4,3,1,5]=>0000000=>0000000 [5,2,1,4,6,8,7,3]=>[4,7,8,5,3,1,2,6]=>0000000=>0000000 [4,8,3,1,6,5,2,7]=>[5,1,6,8,3,4,7,2]=>0000000=>0000000 [3,1,5,8,4,7,2,6]=>[6,8,4,1,5,2,7,3]=>0000000=>0000000 [4,1,6,8,5,3,2,7]=>[5,8,3,1,4,6,7,2]=>0000000=>0000000 [2,4,5,8,6,3,1,7]=>[7,5,4,1,3,6,8,2]=>0000000=>0000000 [8,2,1,3,5,7,6,4]=>[1,7,8,6,4,2,3,5]=>1000000=>0000001 [1,4,8,3,5,6,2,7]=>[8,5,1,6,4,3,7,2]=>0000000=>0000000 [3,7,6,2,1,8,4,5]=>[6,2,3,7,8,1,5,4]=>0000000=>0000000 [3,1,7,6,8,4,5,2]=>[6,8,2,3,1,5,4,7]=>0000000=>0000000 [8,5,7,1,3,6,4,2]=>[1,4,2,8,6,3,5,7]=>1000000=>0000001 [7,2,6,5,8,4,3,1]=>[2,7,3,4,1,5,6,8]=>0000001=>1000000 [3,7,6,2,1,8,5,4]=>[6,2,3,7,8,1,4,5]=>0000000=>0000000 [1,7,3,4,5,8,6,2]=>[8,2,6,5,4,1,3,7]=>0000000=>0000000 [8,3,5,2,6,4,7,1]=>[1,6,4,7,3,5,2,8]=>1000001=>1000001 [8,6,4,3,2,7,5,1]=>[1,3,5,6,7,2,4,8]=>1000001=>1000001 [1,3,8,6,7,4,2,5]=>[8,6,1,3,2,5,7,4]=>0000000=>0000000 [5,7,3,2,1,8,4,6]=>[4,2,6,7,8,1,5,3]=>0000000=>0000000 [4,5,2,1,7,8,6,3]=>[5,4,7,8,2,1,3,6]=>0000000=>0000000 [5,7,3,2,1,8,6,4]=>[4,2,6,7,8,1,3,5]=>0000000=>0000000 [4,5,1,3,7,6,8,2]=>[5,4,8,6,2,3,1,7]=>0000000=>0000000 [2,1,5,8,6,3,4,7]=>[7,8,4,1,3,6,5,2]=>0000000=>0000000 [1,3,8,6,7,2,5,4]=>[8,6,1,3,2,7,4,5]=>0000000=>0000000 [3,6,2,1,8,4,5,7]=>[6,3,7,8,1,5,4,2]=>0000000=>0000000 [5,2,6,7,1,8,3,4]=>[4,7,3,2,8,1,6,5]=>0000000=>0000000 [4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]=>0000000=>0000000 [1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>0000000=>0000000 [2,6,7,1,4,8,5,3]=>[7,3,2,8,5,1,4,6]=>0000000=>0000000 [5,6,4,1,8,2,3,7]=>[4,3,5,8,1,7,6,2]=>0000000=>0000000 [1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>0000000=>0000000 [1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>0000000=>0000000 [7,6,1,8,5,3,4,2]=>[2,3,8,1,4,6,5,7]=>0000000=>0000000 [6,8,7,4,1,5,3,2]=>[3,1,2,5,8,4,6,7]=>0010000=>0000100 [5,8,4,3,1,2,7,6]=>[4,1,5,6,8,7,2,3]=>0000000=>0000000 [4,3,1,8,6,5,2,7]=>[5,6,8,1,3,4,7,2]=>0000000=>0000000 [7,4,3,1,8,5,2,6]=>[2,5,6,8,1,4,7,3]=>0000000=>0000000 [6,7,4,5,1,3,8,2]=>[3,2,5,4,8,6,1,7]=>0000000=>0000000 [6,7,2,5,1,3,8,4]=>[3,2,7,4,8,6,1,5]=>0000000=>0000000 [6,7,2,5,1,4,8,3]=>[3,2,7,4,8,5,1,6]=>0000000=>0000000 [6,4,3,7,8,2,1,5]=>[3,5,6,2,1,7,8,4]=>0000000=>0000000 [6,8,7,1,2,5,4,3]=>[3,1,2,8,7,4,5,6]=>0010000=>0000100 [8,2,1,5,7,3,6,4]=>[1,7,8,4,2,6,3,5]=>1000000=>0000001 [6,1,5,4,8,3,7,2]=>[3,8,4,5,1,6,2,7]=>0000000=>0000000 [8,3,6,4,2,5,1,7]=>[1,6,3,5,7,4,8,2]=>1000000=>0000001 [6,3,1,7,4,2,5,8]=>[3,6,8,2,5,7,4,1]=>0000000=>0000000 [7,3,6,1,5,2,8,4]=>[2,6,3,8,4,7,1,5]=>0000000=>0000000 [2,5,6,7,3,1,4,8]=>[7,4,3,2,6,8,5,1]=>0000000=>0000000 [1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000=>0000000 [6,5,2,7,8,3,1,4]=>[3,4,7,2,1,6,8,5]=>0000000=>0000000 [6,5,2,7,8,3,4,1]=>[3,4,7,2,1,6,5,8]=>0000001=>1000000 [3,4,1,5,8,6,2,7]=>[6,5,8,4,1,3,7,2]=>0000000=>0000000 [4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]=>0000000=>0000000 [4,1,5,6,3,7,2,8]=>[5,8,4,3,6,2,7,1]=>0000000=>0000000 [8,1,4,7,6,3,5,2]=>[1,8,5,2,3,6,4,7]=>1000000=>0000001 [8,5,7,4,2,3,6,1]=>[1,4,2,5,7,6,3,8]=>1000001=>1000001 [8,2,3,7,6,4,1,5]=>[1,7,6,2,3,5,8,4]=>1000000=>0000001 [3,7,1,8,4,2,6,5]=>[6,2,8,1,5,7,3,4]=>0000000=>0000000 [2,4,5,8,3,6,7,1]=>[7,5,4,1,6,3,2,8]=>0000001=>1000000 [8,7,1,3,5,2,4,6]=>[1,2,8,6,4,7,5,3]=>1100000=>0000011 [6,8,7,2,4,1,5,3]=>[3,1,2,7,5,8,4,6]=>0010000=>0000100 [6,7,2,1,3,5,8,4]=>[3,2,7,8,6,4,1,5]=>0000000=>0000000 [4,6,3,1,8,5,2,7]=>[5,3,6,8,1,4,7,2]=>0000000=>0000000 [5,3,4,6,2,1,8,7]=>[4,6,5,3,7,8,1,2]=>0000000=>0000000 [6,2,1,5,4,8,3,7]=>[3,7,8,4,5,1,6,2]=>0000000=>0000000 [1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>0000000=>0000000 [5,7,3,2,4,8,1,6]=>[4,2,6,7,5,1,8,3]=>0000000=>0000000 [6,4,5,2,1,8,7,3]=>[3,5,4,7,8,1,2,6]=>0000000=>0000000 [7,4,2,5,3,1,8,6]=>[2,5,7,4,6,8,1,3]=>0000000=>0000000 [6,5,4,1,3,7,2,8]=>[3,4,5,8,6,2,7,1]=>0000000=>0000000 [6,5,1,3,4,2,7,8]=>[3,4,8,6,5,7,2,1]=>0000000=>0000000 [4,7,3,1,2,5,8,6]=>[5,2,6,8,7,4,1,3]=>0000000=>0000000 [4,6,5,8,2,1,3,7]=>[5,3,4,1,7,8,6,2]=>0000000=>0000000 [4,1,7,5,6,3,8,2]=>[5,8,2,4,3,6,1,7]=>0000000=>0000000 [7,8,6,3,2,5,1,4]=>[2,1,3,6,7,4,8,5]=>0110000=>0000110 [1,7,3,6,8,2,5,4]=>[8,2,6,3,1,7,4,5]=>0000000=>0000000 [8,2,6,1,7,5,3,4]=>[1,7,3,8,2,4,6,5]=>1000000=>0000001 [1,4,6,7,5,8,2,3]=>[8,5,3,2,4,1,7,6]=>0000000=>0000000 [1,5,6,7,4,2,8,3]=>[8,4,3,2,5,7,1,6]=>0000000=>0000000 [8,6,7,3,1,5,2,4]=>[1,3,2,6,8,4,7,5]=>1010000=>0000101 [8,7,1,3,6,4,2,5]=>[1,2,8,6,3,5,7,4]=>1100000=>0000011 [4,8,2,6,7,3,1,5]=>[5,1,7,3,2,6,8,4]=>0000000=>0000000 [3,7,5,6,2,4,8,1]=>[6,2,4,3,7,5,1,8]=>0000001=>1000000 [2,7,5,6,3,4,8,1]=>[7,2,4,3,6,5,1,8]=>0000001=>1000000 [3,7,4,6,2,5,8,1]=>[6,2,5,3,7,4,1,8]=>0000001=>1000000 [2,6,3,7,4,5,8,1]=>[7,3,6,2,5,4,1,8]=>0000001=>1000000 [1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>0000000=>0000000 [1,7,3,6,2,5,8,4]=>[8,2,6,3,7,4,1,5]=>0000000=>0000000 [2,7,5,6,1,4,8,3]=>[7,2,4,3,8,5,1,6]=>0000000=>0000000 [5,3,1,4,8,7,6,2]=>[4,6,8,5,1,2,3,7]=>0000000=>0000000 [4,5,7,3,6,8,1,2]=>[5,4,2,6,3,1,8,7]=>0000010=>0100000 [8,1,2,5,4,7,6,3]=>[1,8,7,4,5,2,3,6]=>1000000=>0000001 [1,8,2,6,4,7,3,5]=>[8,1,7,3,5,2,6,4]=>0000000=>0000000 [8,1,2,4,7,3,6,5]=>[1,8,7,5,2,6,3,4]=>1000000=>0000001 [8,4,5,7,6,3,1,2]=>[1,5,4,2,3,6,8,7]=>1000110=>0110001 [8,5,2,6,4,1,3,7]=>[1,4,7,3,5,8,6,2]=>1000000=>0000001 [7,3,6,5,2,4,1,8]=>[2,6,3,4,7,5,8,1]=>0000000=>0000000 [7,4,6,5,1,8,2,3]=>[2,5,3,4,8,1,7,6]=>0000000=>0000000 [5,2,3,6,8,1,7,4]=>[4,7,6,3,1,8,2,5]=>0000000=>0000000 [8,5,2,7,3,4,1,6]=>[1,4,7,2,6,5,8,3]=>1000000=>0000001 [8,5,7,3,1,4,6,2]=>[1,4,2,6,8,5,3,7]=>1000000=>0000001 [8,5,3,7,1,4,6,2]=>[1,4,6,2,8,5,3,7]=>1000000=>0000001 [8,7,2,1,6,5,3,4]=>[1,2,7,8,3,4,6,5]=>1100000=>0000011 [5,6,8,1,3,4,2,7]=>[4,3,1,8,6,5,7,2]=>0000000=>0000000 [3,1,8,5,6,4,2,7]=>[6,8,1,4,3,5,7,2]=>0000000=>0000000 [4,2,6,8,3,5,1,7]=>[5,7,3,1,6,4,8,2]=>0000000=>0000000 [2,4,6,7,5,8,1,3]=>[7,5,3,2,4,1,8,6]=>0000000=>0000000 [8,2,6,5,7,3,1,4]=>[1,7,3,4,2,6,8,5]=>1000000=>0000001 [7,2,8,6,4,3,1,5]=>[2,7,1,3,5,6,8,4]=>0000000=>0000000 [8,1,6,7,4,3,5,2]=>[1,8,3,2,5,6,4,7]=>1000000=>0000001 [5,2,8,7,4,3,6,1]=>[4,7,1,2,5,6,3,8]=>0000001=>1000000 [7,2,6,4,3,5,1,8]=>[2,7,3,5,6,4,8,1]=>0000000=>0000000 [2,1,3,8,6,4,5,7]=>[7,8,6,1,3,5,4,2]=>0000000=>0000000 [5,4,8,7,3,1,6,2]=>[4,5,1,2,6,8,3,7]=>0000000=>0000000 [4,5,3,1,6,8,2,7]=>[5,4,6,8,3,1,7,2]=>0000000=>0000000 [5,6,2,1,3,8,4,7]=>[4,3,7,8,6,1,5,2]=>0000000=>0000000 [1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>0000000=>0000000 [4,3,6,7,1,2,8,5]=>[5,6,3,2,8,7,1,4]=>0000000=>0000000 [1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>0000000=>0000000 [1,3,8,4,6,2,7,5]=>[8,6,1,5,3,7,2,4]=>0000000=>0000000 [1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000=>0000000 [3,6,1,8,4,2,7,5]=>[6,3,8,1,5,7,2,4]=>0000000=>0000000 [7,8,4,3,1,6,2,5]=>[2,1,5,6,8,3,7,4]=>0100000=>0000010 [7,4,3,5,1,8,6,2]=>[2,5,6,4,8,1,3,7]=>0000000=>0000000 [8,3,4,6,7,5,2,1]=>[1,6,5,3,2,4,7,8]=>1000011=>1100001 [8,6,4,3,5,1,7,2]=>[1,3,5,6,4,8,2,7]=>1000000=>0000001 [4,8,5,2,1,6,3,7]=>[5,1,4,7,8,3,6,2]=>0000000=>0000000 [8,7,3,6,2,1,4,5]=>[1,2,6,3,7,8,5,4]=>1100000=>0000011 [2,7,1,5,8,6,4,3]=>[7,2,8,4,1,3,5,6]=>0000000=>0000000 [8,1,5,7,6,2,4,3]=>[1,8,4,2,3,7,5,6]=>1000000=>0000001 [3,4,8,5,7,1,2,6]=>[6,5,1,4,2,8,7,3]=>0000000=>0000000 [7,3,5,1,2,6,4,8]=>[2,6,4,8,7,3,5,1]=>0000000=>0000000 [7,4,5,1,6,2,3,8]=>[2,5,4,8,3,7,6,1]=>0000000=>0000000 [8,4,5,1,6,2,3,7]=>[1,5,4,8,3,7,6,2]=>1000000=>0000001 [8,4,1,7,5,6,3,2]=>[1,5,8,2,4,3,6,7]=>1000000=>0000001 [4,6,8,7,1,2,5,3]=>[5,3,1,2,8,7,4,6]=>0000000=>0000000 [2,5,4,8,6,1,3,7]=>[7,4,5,1,3,8,6,2]=>0000000=>0000000 [7,8,6,1,5,4,2,3]=>[2,1,3,8,4,5,7,6]=>0110000=>0000110 [7,5,2,4,1,6,3,8]=>[2,4,7,5,8,3,6,1]=>0000000=>0000000 [1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>0000000=>0000000 [6,4,1,3,7,5,2,8]=>[3,5,8,6,2,4,7,1]=>0000000=>0000000 [7,5,2,1,4,8,6,3]=>[2,4,7,8,5,1,3,6]=>0000000=>0000000 [4,6,3,1,7,2,8,5]=>[5,3,6,8,2,7,1,4]=>0000000=>0000000 [4,2,3,8,7,6,1,5]=>[5,7,6,1,2,3,8,4]=>0000000=>0000000 [1,7,3,5,4,2,6,8]=>[8,2,6,4,5,7,3,1]=>0000000=>0000000 [5,7,8,1,2,3,6,4]=>[4,2,1,8,7,6,3,5]=>0000000=>0000000 [5,3,1,8,4,2,7,6]=>[4,6,8,1,5,7,2,3]=>0000000=>0000000 [8,5,2,4,1,7,6,3]=>[1,4,7,5,8,2,3,6]=>1000000=>0000001 [4,6,7,5,2,8,1,3]=>[5,3,2,4,7,1,8,6]=>0000000=>0000000 [4,6,7,5,3,8,1,2]=>[5,3,2,4,6,1,8,7]=>0000010=>0100000 [4,5,8,6,3,1,2,7]=>[5,4,1,3,6,8,7,2]=>0000000=>0000000 [5,1,2,8,6,7,3,4]=>[4,8,7,1,3,2,6,5]=>0000000=>0000000 [7,6,3,8,4,1,5,2]=>[2,3,6,1,5,8,4,7]=>0000000=>0000000 [6,2,4,7,5,1,8,3]=>[3,7,5,2,4,8,1,6]=>0000000=>0000000 [2,3,5,7,4,1,6,8]=>[7,6,4,2,5,8,3,1]=>0000000=>0000000 [4,2,3,7,1,6,5,8]=>[5,7,6,2,8,3,4,1]=>0000000=>0000000 [5,2,4,7,6,1,3,8]=>[4,7,5,2,3,8,6,1]=>0000000=>0000000 [4,2,6,7,1,5,3,8]=>[5,7,3,2,8,4,6,1]=>0000000=>0000000 [2,5,3,7,6,1,4,8]=>[7,4,6,2,3,8,5,1]=>0000000=>0000000 [1,4,7,3,2,6,5,8]=>[8,5,2,6,7,3,4,1]=>0000000=>0000000 [5,6,7,1,3,2,4,8]=>[4,3,2,8,6,7,5,1]=>0000000=>0000000 [4,5,6,1,3,7,2,8]=>[5,4,3,8,6,2,7,1]=>0000000=>0000000 [4,3,7,1,5,6,2,8]=>[5,6,2,8,4,3,7,1]=>0000000=>0000000 [3,5,6,8,2,7,4,1]=>[6,4,3,1,7,2,5,8]=>0000001=>1000000 [7,3,5,8,2,6,4,1]=>[2,6,4,1,7,3,5,8]=>0000001=>1000000 [3,7,4,6,8,2,5,1]=>[6,2,5,3,1,7,4,8]=>0000001=>1000000 [5,2,4,6,1,8,3,7]=>[4,7,5,3,8,1,6,2]=>0000000=>0000000 [8,6,1,3,7,5,4,2]=>[1,3,8,6,2,4,5,7]=>1000000=>0000001 [5,4,7,6,1,3,8,2]=>[4,5,2,3,8,6,1,7]=>0000000=>0000000 [8,2,6,1,3,7,4,5]=>[1,7,3,8,6,2,5,4]=>1000000=>0000001 [3,5,4,1,7,6,8,2]=>[6,4,5,8,2,3,1,7]=>0000000=>0000000 [8,4,2,3,6,7,1,5]=>[1,5,7,6,3,2,8,4]=>1000000=>0000001 [8,1,4,6,5,2,3,7]=>[1,8,5,3,4,7,6,2]=>1000000=>0000001 [7,2,8,1,4,3,5,6]=>[2,7,1,8,5,6,4,3]=>0000000=>0000000 [5,1,8,7,2,4,3,6]=>[4,8,1,2,7,5,6,3]=>0000000=>0000000 [8,3,7,1,2,6,5,4]=>[1,6,2,8,7,3,4,5]=>1000000=>0000001 [5,2,7,1,4,3,6,8]=>[4,7,2,8,5,6,3,1]=>0000000=>0000000 [2,5,1,7,6,4,3,8]=>[7,4,8,2,3,5,6,1]=>0000000=>0000000 [8,2,3,7,6,1,5,4]=>[1,7,6,2,3,8,4,5]=>1000000=>0000001 [4,7,8,6,1,2,3,5]=>[5,2,1,3,8,7,6,4]=>0000000=>0000000 [8,4,6,7,5,1,2,3]=>[1,5,3,2,4,8,7,6]=>1000100=>0010001 [6,4,1,2,7,5,3,8]=>[3,5,8,7,2,4,6,1]=>0000000=>0000000 [3,8,7,5,4,2,1,6]=>[6,1,2,4,5,7,8,3]=>0000000=>0000000 [2,8,5,7,6,3,1,4]=>[7,1,4,2,3,6,8,5]=>0000000=>0000000 [5,8,4,7,3,2,1,6]=>[4,1,5,2,6,7,8,3]=>0000000=>0000000 [7,8,1,2,6,4,5,3]=>[2,1,8,7,3,5,4,6]=>0100000=>0000010 [6,1,2,5,3,8,7,4]=>[3,8,7,4,6,1,2,5]=>0000000=>0000000 [8,1,3,5,4,2,7,6]=>[1,8,6,4,5,7,2,3]=>1000000=>0000001 [2,5,1,7,8,4,3,6]=>[7,4,8,2,1,5,6,3]=>0000000=>0000000 [5,6,8,7,3,4,2,1]=>[4,3,1,2,6,5,7,8]=>0001011=>1101000 [8,3,6,2,7,5,4,1]=>[1,6,3,7,2,4,5,8]=>1000001=>1000001 [5,3,2,6,7,1,8,4]=>[4,6,7,3,2,8,1,5]=>0000000=>0000000 [2,7,4,3,8,6,1,5]=>[7,2,5,6,1,3,8,4]=>0000000=>0000000 [1,6,3,7,5,4,8,2]=>[8,3,6,2,4,5,1,7]=>0000000=>0000000 [1,6,2,3,7,5,4,8]=>[8,3,7,6,2,4,5,1]=>0000000=>0000000 [6,5,8,1,2,3,7,4]=>[3,4,1,8,7,6,2,5]=>0000000=>0000000 [3,8,2,6,4,1,7,5]=>[6,1,7,3,5,8,2,4]=>0000000=>0000000 [2,3,5,6,8,4,7,1]=>[7,6,4,3,1,5,2,8]=>0000001=>1000000 [1,6,8,5,3,7,2,4]=>[8,3,1,4,6,2,7,5]=>0000000=>0000000 [1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>0000000=>0000000 [5,7,6,1,8,2,4,3]=>[4,2,3,8,1,7,5,6]=>0000000=>0000000 [1,4,7,5,8,6,2,3]=>[8,5,2,4,1,3,7,6]=>0000000=>0000000 [2,3,5,1,6,8,7,4]=>[7,6,4,8,3,1,2,5]=>0000000=>0000000 [7,4,1,8,5,3,2,6]=>[2,5,8,1,4,6,7,3]=>0000000=>0000000 [2,7,3,8,6,5,1,4]=>[7,2,6,1,3,4,8,5]=>0000000=>0000000 [8,7,5,1,3,6,4,2]=>[1,2,4,8,6,3,5,7]=>1100000=>0000011 [6,4,7,1,3,2,5,8]=>[3,5,2,8,6,7,4,1]=>0000000=>0000000 [8,2,4,7,3,5,1,6]=>[1,7,5,2,6,4,8,3]=>1000000=>0000001 [6,7,8,2,4,1,5,3]=>[3,2,1,7,5,8,4,6]=>0010000=>0000100 [4,8,6,5,2,1,7,3]=>[5,1,3,4,7,8,2,6]=>0000000=>0000000 [5,4,8,6,2,1,7,3]=>[4,5,1,3,7,8,2,6]=>0000000=>0000000 [5,8,3,4,7,2,6,1]=>[4,1,6,5,2,7,3,8]=>0000001=>1000000 [3,8,2,6,5,7,4,1]=>[6,1,7,3,4,2,5,8]=>0000001=>1000000 [1,7,3,4,8,2,5,6]=>[8,2,6,5,1,7,4,3]=>0000000=>0000000 [1,8,6,2,7,5,3,4]=>[8,1,3,7,2,4,6,5]=>0000000=>0000000 [4,1,2,6,5,8,3,7]=>[5,8,7,3,4,1,6,2]=>0000000=>0000000 [5,6,1,8,3,4,2,7]=>[4,3,8,1,6,5,7,2]=>0000000=>0000000 [5,3,7,2,1,6,4,8]=>[4,6,2,7,8,3,5,1]=>0000000=>0000000 [3,2,8,5,1,4,6,7]=>[6,7,1,4,8,5,3,2]=>0000000=>0000000 [5,4,7,3,1,6,2,8]=>[4,5,2,6,8,3,7,1]=>0000000=>0000000 [8,5,7,4,3,1,2,6]=>[1,4,2,5,6,8,7,3]=>1000000=>0000001 [8,4,2,6,7,3,5,1]=>[1,5,7,3,2,6,4,8]=>1000001=>1000001 [4,3,7,2,1,6,8,5]=>[5,6,2,7,8,3,1,4]=>0000000=>0000000 [8,6,2,1,5,3,7,4]=>[1,3,7,8,4,6,2,5]=>1000000=>0000001 [4,1,5,6,2,8,7,3]=>[5,8,4,3,7,1,2,6]=>0000000=>0000000 [8,5,1,6,2,4,7,3]=>[1,4,8,3,7,5,2,6]=>1000000=>0000001 [7,6,3,4,1,5,2,8]=>[2,3,6,5,8,4,7,1]=>0000000=>0000000 [8,2,5,7,4,6,3,1]=>[1,7,4,2,5,3,6,8]=>1000001=>1000001 [8,3,6,7,4,2,5,1]=>[1,6,3,2,5,7,4,8]=>1000001=>1000001 [8,5,7,1,4,6,2,3]=>[1,4,2,8,5,3,7,6]=>1000000=>0000001 [4,6,1,5,7,8,3,2]=>[5,3,8,4,2,1,6,7]=>0000000=>0000000 [4,1,7,3,5,6,2,8]=>[5,8,2,6,4,3,7,1]=>0000000=>0000000 [1,3,5,8,2,6,7,4]=>[8,6,4,1,7,3,2,5]=>0000000=>0000000 [7,2,6,1,3,5,8,4]=>[2,7,3,8,6,4,1,5]=>0000000=>0000000 [7,2,5,1,6,3,8,4]=>[2,7,4,8,3,6,1,5]=>0000000=>0000000 [5,2,6,1,3,8,4,7]=>[4,7,3,8,6,1,5,2]=>0000000=>0000000 [6,1,8,5,7,4,2,3]=>[3,8,1,4,2,5,7,6]=>0000000=>0000000 [5,7,1,6,4,2,3,8]=>[4,2,8,3,5,7,6,1]=>0000000=>0000000 [6,1,7,5,4,2,3,8]=>[3,8,2,4,5,7,6,1]=>0000000=>0000000 [6,1,8,4,7,5,2,3]=>[3,8,1,5,2,4,7,6]=>0000000=>0000000 [8,1,5,2,3,6,4,7]=>[1,8,4,7,6,3,5,2]=>1000000=>0000001 [2,5,6,8,3,7,1,4]=>[7,4,3,1,6,2,8,5]=>0000000=>0000000 [6,7,5,4,1,3,8,2]=>[3,2,4,5,8,6,1,7]=>0000000=>0000000 [4,7,6,5,1,2,3,8]=>[5,2,3,4,8,7,6,1]=>0000000=>0000000 [6,7,2,5,8,3,4,1]=>[3,2,7,4,1,6,5,8]=>0000001=>1000000 [5,7,8,4,2,3,6,1]=>[4,2,1,5,7,6,3,8]=>0000001=>1000000 [7,8,6,1,2,5,4,3]=>[2,1,3,8,7,4,5,6]=>0110000=>0000110 [2,8,4,7,5,1,6,3]=>[7,1,5,2,4,8,3,6]=>0000000=>0000000 [8,6,7,2,4,3,1,5]=>[1,3,2,7,5,6,8,4]=>1010000=>0000101 [7,1,6,8,3,2,5,4]=>[2,8,3,1,6,7,4,5]=>0000000=>0000000 [3,1,8,7,2,6,5,4]=>[6,8,1,2,7,3,4,5]=>0000000=>0000000 [4,3,7,8,1,6,5,2]=>[5,6,2,1,8,3,4,7]=>0000000=>0000000 [5,6,3,8,4,2,1,7]=>[4,3,6,1,5,7,8,2]=>0000000=>0000000 [8,5,7,6,3,4,2,1]=>[1,4,2,3,6,5,7,8]=>1001011=>1101001 [6,1,4,3,5,7,2,8]=>[3,8,5,6,4,2,7,1]=>0000000=>0000000 [4,3,5,7,8,1,6,2]=>[5,6,4,2,1,8,3,7]=>0000000=>0000000 [5,1,8,2,3,6,4,7]=>[4,8,1,7,6,3,5,2]=>0000000=>0000000 [1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>0000000=>0000000 [7,1,5,2,3,8,4,6]=>[2,8,4,7,6,1,5,3]=>0000000=>0000000 [6,4,1,7,5,8,2,3]=>[3,5,8,2,4,1,7,6]=>0000000=>0000000 [5,8,2,1,3,6,7,4]=>[4,1,7,8,6,3,2,5]=>0000000=>0000000 [1,5,7,3,4,2,6,8]=>[8,4,2,6,5,7,3,1]=>0000000=>0000000 [4,8,6,5,7,2,3,1]=>[5,1,3,4,2,7,6,8]=>0000101=>1010000 [8,7,2,4,1,3,6,5]=>[1,2,7,5,8,6,3,4]=>1100000=>0000011 [3,7,4,6,5,1,8,2]=>[6,2,5,3,4,8,1,7]=>0000000=>0000000 [5,3,7,1,4,6,2,8]=>[4,6,2,8,5,3,7,1]=>0000000=>0000000 [3,2,1,7,8,4,6,5]=>[6,7,8,2,1,5,3,4]=>0000000=>0000000 [1,5,2,4,7,6,8,3]=>[8,4,7,5,2,3,1,6]=>0000000=>0000000 [3,7,2,5,6,8,4,1]=>[6,2,7,4,3,1,5,8]=>0000001=>1000000 [8,3,5,2,1,7,6,4]=>[1,6,4,7,8,2,3,5]=>1000000=>0000001 [4,5,2,6,1,7,8,3]=>[5,4,7,3,8,2,1,6]=>0000000=>0000000 [8,3,5,4,7,2,6,1]=>[1,6,4,5,2,7,3,8]=>1000001=>1000001 [6,5,2,3,7,4,1,8]=>[3,4,7,6,2,5,8,1]=>0000000=>0000000 [6,5,1,7,2,3,4,8]=>[3,4,8,2,7,6,5,1]=>0000000=>0000000 [5,1,3,4,8,7,6,2]=>[4,8,6,5,1,2,3,7]=>0000000=>0000000 [6,5,4,1,2,8,7,3]=>[3,4,5,8,7,1,2,6]=>0000000=>0000000 [2,3,5,6,1,8,7,4]=>[7,6,4,3,8,1,2,5]=>0000000=>0000000 [7,5,2,8,3,6,1,4]=>[2,4,7,1,6,3,8,5]=>0000000=>0000000 [4,2,6,8,7,5,1,3]=>[5,7,3,1,2,4,8,6]=>0000000=>0000000 [4,8,2,1,7,5,6,3]=>[5,1,7,8,2,4,3,6]=>0000000=>0000000 [7,5,2,8,3,6,4,1]=>[2,4,7,1,6,3,5,8]=>0000001=>1000000 [1,3,5,8,7,4,6,2]=>[8,6,4,1,2,5,3,7]=>0000000=>0000000 [7,4,6,5,3,2,8,1]=>[2,5,3,4,6,7,1,8]=>0000001=>1000000 [6,7,3,4,2,8,5,1]=>[3,2,6,5,7,1,4,8]=>0000001=>1000000 [5,2,4,7,3,6,1,8]=>[4,7,5,2,6,3,8,1]=>0000000=>0000000 [7,8,4,6,3,1,5,2]=>[2,1,5,3,6,8,4,7]=>0100000=>0000010 [8,3,6,7,2,5,4,1]=>[1,6,3,2,7,4,5,8]=>1000001=>1000001 [8,3,6,7,5,2,4,1]=>[1,6,3,2,4,7,5,8]=>1000001=>1000001 [4,2,5,1,8,6,7,3]=>[5,7,4,8,1,3,2,6]=>0000000=>0000000 [1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>0000000=>0000000 [7,4,1,8,6,5,2,3]=>[2,5,8,1,3,4,7,6]=>0000000=>0000000 [8,2,1,5,6,3,4,7]=>[1,7,8,4,3,6,5,2]=>1000000=>0000001 [4,6,5,1,8,2,7,3]=>[5,3,4,8,1,7,2,6]=>0000000=>0000000 [8,1,3,2,5,7,6,4]=>[1,8,6,7,4,2,3,5]=>1000000=>0000001 [5,3,6,4,8,7,2,1]=>[4,6,3,5,1,2,7,8]=>0000011=>1100000 [8,2,7,4,3,6,5,1]=>[1,7,2,5,6,3,4,8]=>1000001=>1000001 [8,7,3,1,6,5,2,4]=>[1,2,6,8,3,4,7,5]=>1100000=>0000011 [5,4,3,7,6,1,8,2]=>[4,5,6,2,3,8,1,7]=>0000000=>0000000 [4,5,6,8,1,7,2,3]=>[5,4,3,1,8,2,7,6]=>0000000=>0000000 [6,4,1,8,5,7,2,3]=>[3,5,8,1,4,2,7,6]=>0000000=>0000000 [8,3,6,4,7,2,1,5]=>[1,6,3,5,2,7,8,4]=>1000000=>0000001 [4,6,1,5,3,7,2,8]=>[5,3,8,4,6,2,7,1]=>0000000=>0000000 [5,1,7,8,3,2,4,6]=>[4,8,2,1,6,7,5,3]=>0000000=>0000000 [2,8,7,3,6,4,5,1]=>[7,1,2,6,3,5,4,8]=>0000001=>1000000 [8,4,5,7,6,2,1,3]=>[1,5,4,2,3,7,8,6]=>1000100=>0010001 [1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>0000000=>0000000 [4,2,3,8,7,1,6,5]=>[5,7,6,1,2,8,3,4]=>0000000=>0000000 [8,4,5,7,6,1,2,3]=>[1,5,4,2,3,8,7,6]=>1000100=>0010001 [1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>0000000=>0000000 [4,7,2,6,8,3,1,5]=>[5,2,7,3,1,6,8,4]=>0000000=>0000000 [3,5,4,6,7,1,2,8]=>[6,4,5,3,2,8,7,1]=>0000000=>0000000 [2,7,3,4,1,6,5,8]=>[7,2,6,5,8,3,4,1]=>0000000=>0000000 [1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>0000000=>0000000 [1,5,3,7,6,8,2,4]=>[8,4,6,2,3,1,7,5]=>0000000=>0000000 [6,3,4,2,8,5,7,1]=>[3,6,5,7,1,4,2,8]=>0000001=>1000000 [5,4,6,1,2,8,7,3]=>[4,5,3,8,7,1,2,6]=>0000000=>0000000 [7,2,8,3,4,1,6,5]=>[2,7,1,6,5,8,3,4]=>0000000=>0000000 [5,2,3,1,7,6,4,8]=>[4,7,6,8,2,3,5,1]=>0000000=>0000000 [1,4,3,8,7,2,5,6]=>[8,5,6,1,2,7,4,3]=>0000000=>0000000 [8,6,4,2,5,3,1,7]=>[1,3,5,7,4,6,8,2]=>1000000=>0000001 [8,6,4,5,2,7,3,1]=>[1,3,5,4,7,2,6,8]=>1000001=>1000001 [4,6,7,5,3,1,8,2]=>[5,3,2,4,6,8,1,7]=>0000000=>0000000 [2,7,8,4,6,1,5,3]=>[7,2,1,5,3,8,4,6]=>0000000=>0000000 [1,3,8,2,7,5,6,4]=>[8,6,1,7,2,4,3,5]=>0000000=>0000000 [8,1,5,2,4,7,6,3]=>[1,8,4,7,5,2,3,6]=>1000000=>0000001 [6,8,7,5,3,1,4,2]=>[3,1,2,4,6,8,5,7]=>0011000=>0001100 [7,8,1,4,5,6,2,3]=>[2,1,8,5,4,3,7,6]=>0100000=>0000010 [6,3,4,8,5,7,2,1]=>[3,6,5,1,4,2,7,8]=>0000011=>1100000 [3,7,2,5,4,6,8,1]=>[6,2,7,4,5,3,1,8]=>0000001=>1000000 [8,2,4,7,6,3,5,1]=>[1,7,5,2,3,6,4,8]=>1000001=>1000001 [3,8,6,2,5,4,1,7]=>[6,1,3,7,4,5,8,2]=>0000000=>0000000 [4,2,7,5,8,6,1,3]=>[5,7,2,4,1,3,8,6]=>0000000=>0000000 [8,3,4,6,2,7,5,1]=>[1,6,5,3,7,2,4,8]=>1000001=>1000001 [8,4,7,3,2,6,5,1]=>[1,5,2,6,7,3,4,8]=>1000001=>1000001 [3,6,8,1,5,2,7,4]=>[6,3,1,8,4,7,2,5]=>0000000=>0000000 [8,5,2,4,7,3,6,1]=>[1,4,7,5,2,6,3,8]=>1000001=>1000001 [4,3,8,5,6,1,2,7]=>[5,6,1,4,3,8,7,2]=>0000000=>0000000 [6,8,3,4,2,7,5,1]=>[3,1,6,5,7,2,4,8]=>0000001=>1000000 [8,7,1,3,2,4,5,6]=>[1,2,8,6,7,5,4,3]=>1100000=>0000011 [7,1,5,6,2,3,4,8]=>[2,8,4,3,7,6,5,1]=>0000000=>0000000 [8,5,7,4,6,3,1,2]=>[1,4,2,5,3,6,8,7]=>1000110=>0110001 [3,2,7,8,6,5,1,4]=>[6,7,2,1,3,4,8,5]=>0000000=>0000000 [4,5,7,2,1,3,8,6]=>[5,4,2,7,8,6,1,3]=>0000000=>0000000 [8,4,1,5,3,2,7,6]=>[1,5,8,4,6,7,2,3]=>1000000=>0000001 [4,8,1,5,3,2,7,6]=>[5,1,8,4,6,7,2,3]=>0000000=>0000000 [1,5,6,3,2,7,4,8]=>[8,4,3,6,7,2,5,1]=>0000000=>0000000 [8,1,6,3,2,7,5,4]=>[1,8,3,6,7,2,4,5]=>1000000=>0000001 [1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>0000000=>0000000 [8,2,3,6,7,4,1,5]=>[1,7,6,3,2,5,8,4]=>1000000=>0000001 [3,8,4,7,6,5,1,2]=>[6,1,5,2,3,4,8,7]=>0000010=>0100000 [7,4,8,6,3,1,2,5]=>[2,5,1,3,6,8,7,4]=>0000000=>0000000 [8,5,7,2,4,1,6,3]=>[1,4,2,7,5,8,3,6]=>1000000=>0000001 [5,8,7,4,2,3,6,1]=>[4,1,2,5,7,6,3,8]=>0000001=>1000000 [5,6,3,1,4,8,7,2]=>[4,3,6,8,5,1,2,7]=>0000000=>0000000 [5,7,1,2,6,3,4,8]=>[4,2,8,7,3,6,5,1]=>0000000=>0000000 [7,6,1,3,2,4,5,8]=>[2,3,8,6,7,5,4,1]=>0000000=>0000000 [6,3,7,1,5,2,4,8]=>[3,6,2,8,4,7,5,1]=>0000000=>0000000 [7,6,2,1,4,5,8,3]=>[2,3,7,8,5,4,1,6]=>0000000=>0000000 [1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>0000000=>0000000 [8,3,1,6,4,5,7,2]=>[1,6,8,3,5,4,2,7]=>1000000=>0000001 [8,3,6,2,5,7,4,1]=>[1,6,3,7,4,2,5,8]=>1000001=>1000001 [8,6,3,5,2,4,7,1]=>[1,3,6,4,7,5,2,8]=>1000001=>1000001 [8,4,2,3,5,7,6,1]=>[1,5,7,6,4,2,3,8]=>1000001=>1000001 [3,8,2,6,1,7,5,4]=>[6,1,7,3,8,2,4,5]=>0000000=>0000000 [4,7,5,1,3,2,6,8]=>[5,2,4,8,6,7,3,1]=>0000000=>0000000 [4,8,2,5,6,3,1,7]=>[5,1,7,4,3,6,8,2]=>0000000=>0000000 [7,4,8,2,1,6,5,3]=>[2,5,1,7,8,3,4,6]=>0000000=>0000000 [4,7,2,5,8,6,1,3]=>[5,2,7,4,1,3,8,6]=>0000000=>0000000 [4,7,6,3,2,1,8,5]=>[5,2,3,6,7,8,1,4]=>0000000=>0000000 [5,4,7,1,2,6,8,3]=>[4,5,2,8,7,3,1,6]=>0000000=>0000000 [5,7,8,3,4,6,1,2]=>[4,2,1,6,5,3,8,7]=>0000010=>0100000 [5,4,8,6,7,1,3,2]=>[4,5,1,3,2,8,6,7]=>0000100=>0010000 [5,8,6,3,1,4,7,2]=>[4,1,3,6,8,5,2,7]=>0000000=>0000000 [3,1,6,7,5,4,8,2]=>[6,8,3,2,4,5,1,7]=>0000000=>0000000 [7,4,5,1,3,2,6,8]=>[2,5,4,8,6,7,3,1]=>0000000=>0000000 [2,5,8,3,4,7,6,1]=>[7,4,1,6,5,2,3,8]=>0000001=>1000000 [5,3,6,4,8,1,7,2]=>[4,6,3,5,1,8,2,7]=>0000000=>0000000 [8,4,1,7,6,5,2,3]=>[1,5,8,2,3,4,7,6]=>1000000=>0000001 [7,1,5,8,2,4,6,3]=>[2,8,4,1,7,5,3,6]=>0000000=>0000000 [3,6,5,1,2,7,8,4]=>[6,3,4,8,7,2,1,5]=>0000000=>0000000 [8,3,2,1,7,5,6,4]=>[1,6,7,8,2,4,3,5]=>1000000=>0000001 [8,3,6,2,1,5,7,4]=>[1,6,3,7,8,4,2,5]=>1000000=>0000001 [8,3,2,1,7,5,4,6]=>[1,6,7,8,2,4,5,3]=>1000000=>0000001 [1,3,6,4,7,8,5,2]=>[8,6,3,5,2,1,4,7]=>0000000=>0000000 [1,6,4,7,5,2,8,3]=>[8,3,5,2,4,7,1,6]=>0000000=>0000000 [5,4,8,1,3,2,6,7]=>[4,5,1,8,6,7,3,2]=>0000000=>0000000 [3,6,7,4,2,5,8,1]=>[6,3,2,5,7,4,1,8]=>0000001=>1000000 [5,8,6,3,2,7,4,1]=>[4,1,3,6,7,2,5,8]=>0000001=>1000000 [8,2,6,7,4,3,5,1]=>[1,7,3,2,5,6,4,8]=>1000001=>1000001 [5,7,4,2,3,6,1,8]=>[4,2,5,7,6,3,8,1]=>0000000=>0000000 [7,5,1,6,4,2,8,3]=>[2,4,8,3,5,7,1,6]=>0000000=>0000000 [8,1,2,7,5,3,6,4]=>[1,8,7,2,4,6,3,5]=>1000000=>0000001 [5,1,2,8,7,4,6,3]=>[4,8,7,1,2,5,3,6]=>0000000=>0000000 [6,3,4,5,1,8,7,2]=>[3,6,5,4,8,1,2,7]=>0000000=>0000000 [3,6,7,4,2,8,5,1]=>[6,3,2,5,7,1,4,8]=>0000001=>1000000 [1,4,8,7,5,6,3,2]=>[8,5,1,2,4,3,6,7]=>0000000=>0000000 [8,3,5,6,4,7,2,1]=>[1,6,4,3,5,2,7,8]=>1000011=>1100001 [8,3,6,1,7,2,5,4]=>[1,6,3,8,2,7,4,5]=>1000000=>0000001 [1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>0000000=>0000000 [3,5,4,1,2,6,8,7]=>[6,4,5,8,7,3,1,2]=>0000000=>0000000 [8,6,3,1,2,7,4,5]=>[1,3,6,8,7,2,5,4]=>1000000=>0000001 [8,5,2,7,6,3,4,1]=>[1,4,7,2,3,6,5,8]=>1000001=>1000001 [1,3,8,4,7,5,6,2]=>[8,6,1,5,2,4,3,7]=>0000000=>0000000 [7,6,2,1,4,5,3,8]=>[2,3,7,8,5,4,6,1]=>0000000=>0000000 [6,3,2,1,7,5,8,4]=>[3,6,7,8,2,4,1,5]=>0000000=>0000000 [1,6,5,8,3,4,7,2]=>[8,3,4,1,6,5,2,7]=>0000000=>0000000 [8,5,1,4,2,7,6,3]=>[1,4,8,5,7,2,3,6]=>1000000=>0000001 [4,8,3,2,6,5,7,1]=>[5,1,6,7,3,4,2,8]=>0000001=>1000000 [1,2,7,5,6,3,4,8]=>[8,7,2,4,3,6,5,1]=>0000000=>0000000 [4,7,5,8,2,3,1,6]=>[5,2,4,1,7,6,8,3]=>0000000=>0000000 [3,2,7,6,8,4,1,5]=>[6,7,2,3,1,5,8,4]=>0000000=>0000000 [6,1,4,7,8,3,2,5]=>[3,8,5,2,1,6,7,4]=>0000000=>0000000 [7,5,2,6,4,8,3,1]=>[2,4,7,3,5,1,6,8]=>0000001=>1000000 [6,5,2,1,3,8,7,4]=>[3,4,7,8,6,1,2,5]=>0000000=>0000000 [4,7,6,1,2,8,3,5]=>[5,2,3,8,7,1,6,4]=>0000000=>0000000 [4,3,6,2,8,5,7,1]=>[5,6,3,7,1,4,2,8]=>0000001=>1000000 [8,6,2,7,5,3,4,1]=>[1,3,7,2,4,6,5,8]=>1000001=>1000001 [7,5,2,1,3,4,8,6]=>[2,4,7,8,6,5,1,3]=>0000000=>0000000 [6,5,2,3,8,7,4,1]=>[3,4,7,6,1,2,5,8]=>0000001=>1000000 [5,4,7,2,3,6,1,8]=>[4,5,2,7,6,3,8,1]=>0000000=>0000000 [6,7,1,8,2,4,5,3]=>[3,2,8,1,7,5,4,6]=>0000000=>0000000 [2,5,4,8,7,3,1,6]=>[7,4,5,1,2,6,8,3]=>0000000=>0000000 [7,8,4,6,3,2,5,1]=>[2,1,5,3,6,7,4,8]=>0100001=>1000010 [5,1,8,6,3,7,2,4]=>[4,8,1,3,6,2,7,5]=>0000000=>0000000 [3,1,5,8,4,6,2,7]=>[6,8,4,1,5,3,7,2]=>0000000=>0000000 [1,7,4,6,5,2,3,8]=>[8,2,5,3,4,7,6,1]=>0000000=>0000000 [8,2,5,1,7,4,6,3]=>[1,7,4,8,2,5,3,6]=>1000000=>0000001 [1,3,8,6,5,4,2,7]=>[8,6,1,3,4,5,7,2]=>0000000=>0000000 [7,1,5,6,4,3,2,8]=>[2,8,4,3,5,6,7,1]=>0000000=>0000000 [1,6,7,8,4,5,2,3]=>[8,3,2,1,5,4,7,6]=>0000000=>0000000 [5,4,7,8,3,2,6,1]=>[4,5,2,1,6,7,3,8]=>0000001=>1000000 [6,5,2,1,7,4,3,8]=>[3,4,7,8,2,5,6,1]=>0000000=>0000000 [4,6,1,3,7,5,2,8]=>[5,3,8,6,2,4,7,1]=>0000000=>0000000 [6,8,5,7,4,1,3,2]=>[3,1,4,2,5,8,6,7]=>0001100=>0011000 [8,4,7,2,3,5,1,6]=>[1,5,2,7,6,4,8,3]=>1000000=>0000001 [8,4,5,7,1,3,6,2]=>[1,5,4,2,8,6,3,7]=>1000000=>0000001 [8,5,2,3,7,6,4,1]=>[1,4,7,6,2,3,5,8]=>1000001=>1000001 [3,4,7,6,8,2,1,5]=>[6,5,2,3,1,7,8,4]=>0000000=>0000000 [3,8,6,5,7,2,4,1]=>[6,1,3,4,2,7,5,8]=>0000001=>1000000 [5,8,6,2,1,3,4,7]=>[4,1,3,7,8,6,5,2]=>0000000=>0000000 [6,1,2,5,3,7,4,8]=>[3,8,7,4,6,2,5,1]=>0000000=>0000000 [8,2,5,1,6,4,7,3]=>[1,7,4,8,3,5,2,6]=>1000000=>0000001 [8,4,2,3,7,6,1,5]=>[1,5,7,6,2,3,8,4]=>1000000=>0000001 [8,7,4,1,3,6,2,5]=>[1,2,5,8,6,3,7,4]=>1100000=>0000011 [8,4,2,5,7,6,1,3]=>[1,5,7,4,2,3,8,6]=>1000000=>0000001 [2,1,7,4,3,8,5,6]=>[7,8,2,5,6,1,4,3]=>0000000=>0000000 [3,5,2,4,8,6,7,1]=>[6,4,7,5,1,3,2,8]=>0000001=>1000000 [5,7,4,6,8,2,3,1]=>[4,2,5,3,1,7,6,8]=>0000101=>1010000 [2,8,7,3,5,6,4,1]=>[7,1,2,6,4,3,5,8]=>0000001=>1000000 [8,4,7,5,6,1,2,3]=>[1,5,2,4,3,8,7,6]=>1000100=>0010001 [3,5,7,6,2,1,8,4]=>[6,4,2,3,7,8,1,5]=>0000000=>0000000 [1,7,5,2,4,6,8,3]=>[8,2,4,7,5,3,1,6]=>0000000=>0000000 [7,3,4,6,5,1,8,2]=>[2,6,5,3,4,8,1,7]=>0000000=>0000000 [8,5,6,2,3,7,4,1]=>[1,4,3,7,6,2,5,8]=>1000001=>1000001 [1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>0000000=>0000000 [7,3,1,4,2,5,6,8]=>[2,6,8,5,7,4,3,1]=>0000000=>0000000
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
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.
Map
reverse
Description
Return the reversal of a binary word.